Solve the quadratic equation by taking square roots.


1. 2x 2 - 16 = 0



2. -5x2 + 9 = 0



3. 6x2 - 15 = 27

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

1

Given

2x² - 16 = 0 ( add 16 to both sides )

2x² = 16 ( divide both sides by 2 )

x² = 8 ( take the square root of both sides )

x = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex]

------------------------------------

2

Given

- 5x² + 9 = 0 ( subtract 9 from both sides )

- 5x² = - 9 ( divide both sides by - 5 )

x² = [tex]\frac{9}{5}[/tex] ( take the square root of both sides )

x = ± [tex]\sqrt{\frac{9}{5} }[/tex] = ± [tex]\frac{3}{\sqrt{5} }[/tex]

-----------------------------------------

3

Given

6x² - 15 = 27 ( add 15 to both sides )

6x² = 42 ( divide both sides by 6 )

x² = 7 ( take the square root of both sides )

x = ± [tex]\sqrt{7}[/tex]


Related Questions

list the 6 matching student numbers you found.

Answers

Answer:

12, 16

Step-by-step explanation:

hope it helps

PLEASE HELP! WILL MARK BRAINLIEST ANSWER!
The histogram below represents a data distribution with uniform class widths. Which of the following is the median of the data distribution?

Answers

Answer:

5

Step-by-step explanation:

the median means the number in the middle so the number in the middle would be 5

The difference between a number and 13 is 25. What is the number?

Answers

Answer:

37 is the number

Step-by-step explanation

37- 13 = 25

Express the ratio of A's to N's in the word BANANA, in simplest form.


A. 2:3

B. 3:2

C. 1:2

D. 2:1

Is it B.?

Answers

Answer:

There are 3 A's and 2 N's so the answer is B.


If DEER becomes 45518, what does 25118 become?

Answers

Answer:

deer

Step-by-step explanation:

it is purul of deer

Answer: BEAAH

Step-by-step explanation:

A table contains the ordered pairs (3, 42.25) and (5, 50.75). If the relationship in the table is linear, explain how to find the initial value.

Answers

Answer:The initial value is the beginning output value, or the y-value when x = 0. The rate of change is how fast the output changes relative to the input, or, on a graph, how fast y changes relative to x. You can use initial value and rate of change to figure out all kinds of information about functions.

Because the inputs go by 2, the rate of change is half the difference of the outputs, or 4.25.

Subtract 4.25 repeatedly 3 times to get to an output with an input of 0.

Calculate 42.25 – (3 x 4.25).

The initial value is 29.50.

A bluebird house should have a 5 inch by 5 inch floor, a height ranging from
8 inches to 12 inches, and an opening of 1.5 inches. Bluebirds like open areas,
such as fields, large lawns, cemeteries, parks, and golf courses. Hanging a
bluebird house on a post or pole about 4 or 5 feet above the ground will
probably attract the birds and offer them protection from predators.
In Exercises 1–5, use the following information.
Your woodshop class is making bluebird houses for a final project. A model of
the birdhouse is shown below. The roof consists of four congruent triangles, the
sides are made of four congruent isosceles trapezoids, and the base includes four
rectangles and a square bottom.
1. Find the area of material needed to
make the roof.
2. Find the area of the entrance hole.
3. Find the area of material needed to
make the sides of the birdhouse,
excluding the entrance hole.
4. Find the area of the material needed
to construct the base of the birdhouse.
5. What is the total amount of material
needed for the entire birdhouse?

Answers

Answer:

1. 140 in²

2. 2.25 in²

3. 182 in²

4. 55 in²

5. 374.75 in²

Step-by-step explanation:

1. Area of each triangle: 10*7*1/2 = 35 in²

Area of the roof = 4*35 = 140 in²

2. Area of the entrance hole: 1.5*1.5 = 2.25 in²

3. Area of each trapezoid: (8+5)/2*7 = 45.5 in²

Area of the sides: 4*45.5 = 182 in²

4. Area of the square of the base: 5*5 = 25 in²

Area of each rectangle: 1.5*5 = 7.5 in²

Area of the four rectangles = 4*7.5 =  30 in²

Area of the base: 25 + 30 = 55 in²

5. The  total amount of material  needed for the entire birdhouse is: 140 - 2.25 + 182 + 55 = 374.75 in²

What is the solution to the inequality −12>y+6

12
>
y
+
6

y<−18

y>−18

y<−6

y>−6

Answers

Answer:

y<-18

Step-by-step explanation:

WILL GIVE BRAINIEST!! A circle has a radius of 14. Let AB be a chord of the circle, such that AB = 12. What is the distance between the chord and the center of the circle?

Answers

Step-by-step explanation:

ETA ES LA FÓRMULA:

x = [tex]\sqrt{4(14)^{2} - (12)^{2}}[/tex]/2 = 12.6

HELPPPPP PLEASE IT'S URGENT!!!!!!

What is the volume of the composite figure? Express the

answer in terms of .


A) 1447 mm

B)1687 mm

C) 3121 mm

D) 4567 mm

Answers

Answer:

Step-by-step explanation:

Volume of the hemisphere

V = 2/3π x r^3

= 144π cu. mm

Volume of the cone

V = 1/3π x r^2 x h

V = 168π cu. mm.

Volume of the composite figure

= 144π + 168π

= 312π cu. mm.

Evaluate 4x3 + 2 for x = -1. -6 -2 -10 -62

Answers

Answer:

-2125762

Step-by-step explanation:

220 meters = ________ centimeters

Answers

Answer:

220 meters=22000 centimeters

Step-by-step explanation:

Hope this helps!!! :)

what number is being factored in this factor tree?

Answers

Answer:

164

Step-by-step explanation:

82 multiplied by 2

Answer:

164

Step-by-step explanation:

2 *82=164

Move each word into the category where it belongs

Answers

Words Related to Teeth:

dentures

dentistry

Words Related to Heat:

geothermal

thermos

Words Related to Work:

belabored (whatever that means)

laborious

Words Related to Teeth

• Dentures

• Dentistry

Words Related to Heat

•Thermos

•Geothermal

Words Related to Work

•Belabored

•laborious

Step-by-step explanation:

Hope this helped. I took the test EDG 2022. Have a great day / night ! :)

Jayne polled 50 students about their preferred after-school sport and then recorded the data in the table below. Which sport is more popular? *

A. 7th
B. 8th
C. Baseball
D. Soccer

Answers

Answer:

Baseball

Step-by-step explanation:

You look at the table and find that 38/50 students play baseball, while the other 12 play soccer.

For both 7th and 8th grade, baseball is the most popular sport. Baseball has 11 votes for 7th grade and 27 votes for 8th grade.

What is the volume of the cylinder below?

Answers

i’m sorry, i don’t think the cylinder picture is attached

Answer:

No picture

Step-by-step explanation:

The picture isnt attached :( but the equation for the volume of a cylinder is: Hx [tex]\pi r^{2}[/tex]

H= height    R: Radius

So for example if the height was 10 and the radius was 2 you would do the following:

Hx[tex]\pi r^{2}[/tex]

= 10x 3.14x[tex]2^{2}[/tex]

= 10x 3.14x 4

= 10x 12.56

= 125.6cm^3 :)

[tex]\pi r^{2}[/tex] is the equation on finding the are of the circle (bottom circle or top circle) we then multiply is by its height because its like the circle being stacked up together until it reaches the height. :) Hope this helps

Dina and Masha start cycling on a 20 km bike path at the same time. When Dina reaches the end of the path, Masha still has 4 km of the path left to cycle. If Dina’s cycling speed is 10 km/h, how much time longer will Masha need to complete the path?

Answers

Answer:

30 minutes

Step-by-step explanation:

Dina took 2 hours to finish the path, since she biked at 10 km/h.

This means Masha was biking at 8 km/h because in 2 hours she only biked 16 km.

To bike 4 more km, it will take her 30 minutes or 0.5 of an hour.

Fill in the blank with the appropriate angle:
Given: AB and CD, transversal EF
∠BGH and _____ are same side interior

Answers

Answer:

∠DHG

Step-by-step explanation:

Same side interior angles refers to the pair of angles which are inside the two "parallel" lines and at the same side of the transversal line.

Notice that angles BGH and DHG are same side interior angles. Similarly, angles AGH and CHG are also same side interior angles.

Therefore, the right answer is ∠DHG.

Alvin has 2\3 cup of salad dressing. He uses 1/9 cup of salad dressing for each serving. How many servings of salad dressing can alvin make 100 points pls help

Answers

Answer:

Alvin can make six servings of salad.

Step-by-step explanation:

2/3 is equal to 6/9.

Hi there!

Convert all denominators into the same denominator:

[tex]\frac{2}{3}=\frac{6}{9}[/tex]

[tex]\frac{1}{9}=\frac{1}{9}[/tex]

Divide each terms:

[tex]\frac{6}{9}*\frac{1}{9}=6[/tex]

Final Result: 6

z2 (z squared) when z = 0.7 help us out

Answers

Answer:

0.49

Step-by-step explanation:

0.7^2 is the same as 0.7*0.7.  You just have to times them together!

Hope this helps!

The solution is z^2= 0.49.

What is Square root?

A square root of a number is a value that, when multiplied by itself, gives the number. In mathematics, a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x.

For example, 4 and −4 are square roots of 16, because 4² = ² = 16.

here, we have.

z^2=z*z

when z = 0.7

z^2= 0.7*0.7

     =0.49

0.7^2 is the same as 0.7*0.7.

Hence, the solution is z^2= 0.49.

To learn more on square root click:

brainly.com/question/29286039

#SPJ2

for the fun of it
1 * 100000000 * 967 *0 +1

Answers

Answer:

1.

Step-by-step explanation:

By the order of operations, multiplication goes before addition. We got left to right.

As the entire resultant expression of the first two operators is multiplied by 0, we are left with 0 + 1.

0 + 1 = 1.

I hope this helps!

HELP ME PLZ!!!
In Tier 3, half of the shelf space will occupy Go Math Textbooks and the other half of the space with Bounty paper towels, as shown below. Your answer must have work on how you did it OR an explanation.

Answers

Answer:

Your in middle school you should know this figure this by now FIGURE IT OUT ON YOUR OWN.....

Step-by-step explanation: yeah

Answer:

i dont know the volume but if it tells you what each book measures. Ive left a guide below to distribution.

Step-by-step explanation:

volume = 1

0.5 +0.5 = 1

volume 2

1+1 = 2

you just need to use the word distribution and show like this

(V): amount  / 2 =  new amount (adding cm^3)

To work out volume you take the length and width and height of the shelf of the books. you show your workings like this.

(V): L x Wx H =

You then multiply the amount of books if you was not given the measure of the bookcase shelf.

IF the bookcase is double like the picture and doesnt show the shelf measure than you half the hieght only and keep the same length and width.

H/2 =   first and enter below the new height.

(V): L xWx H  = this is the whole shelf

(V) =     / 2   you enter the Volume amount infront of the /2 and this way you see the volume for the math textbooks being 1/2 of 1  by (/2)  

Use the found answer

LAbel

MAth text books (V) =

Bounty paper towells (V) =

Then see how many cubic sheets fit.

ie) if they measure 30cm x 1cm x 30xm

and the shelf measures 30cm x 60 x 60

you can count up from the second values as the first values fit the length

The width = 1 x 60 - 60 books.  (example 1cm Width thickness)

Then see the height does not change to the height of the books.

IF it does change then for every 2cm change you divide the height of the bookcase by 60-1, 60-2 or 60-3, 60-4cm etc. just one of these that fits the indifference of height

then multiply if 60-58cm = 58 we know this is 2 / 60 x 100 = 3.33%

To calculate percentage decrease: see above

First: work out the difference (decrease) between the two numbers you are comparing. Then: divide the decrease by the original number and multiply the answer by 100. If your answer is a negative number, then this is a percentage increase.

You then apply (V) of shelf number x 0.03 and then subtract from that shelf volume to show your workings or reapply the same technique to see how many fit as decrease ie) 0.50% =  amount x 0.50 = 1/2 new amount.

The first quartile of the data set below is
32, 13, 46, 28, 51, 62, 19, 38, 73, 47
our answer

Answers

Answer:

28

Step-by-step explanation:

When you put the numbers in order and then cut into 4 equal parts 28 is the first cut

sorry idk if that made sense or not

Juanita rolls a number cube x times. For which value of x are the experimental probability and the theoretical probability most likely to be equivalent? 1, 6, 600, 1,000

Answers

Answer:

1,000

Step-by-step explanation:

The more rolls you make, the closer the experimental and theoretical probabilities get closer together

Answer:

1000

Step-by-step explanation:

A line perpendicular to y= 1/4x + 3 passes through the point (0, 6). Which other point lies on the line? Options: A. (4, -2) B. (3, -6) C. (0, -6) D. (-2, 2)

Answers

Answer:

B. (3, -6)

Step-by-step explanation:

Given line

y= 1/4x + 3

given line is in form of y = mx + c

where m is slope of line and c is y intercept

thus, in line  y= 1/4x + 3  m is 1/4 is slope

we know product of slope of two perpendicular line is -1

m1 * m2 = -1

let the line perpendicular to  y= 1/4x + 3 be

y = mx + c

thus

m * 1/4 = -1

m = -4

Thus, in y = mx + c , m is -4

updated equation until now by putting value of m as -4

y = -4x + c

this, line passes through point (0,6)

putting x as 0 and y as 6 in y = -4x + c

we have

6 = -4*0 + c

=> c = 6

Thus, equation of perpendicular line is

y = -4x + 6

_______________________________________________

we have to find which point from the option lies on y = -4x + 6

lets plug in value of x   from given points and see if value of y calculated  is as given in option . if the value is different then point does not lie on perpendicular line

(4, -2)

y = -4*4 + 6

y = -16 + 6 = -10

-10 is not equal to -2 as given in option, thus point (4,-2 ) does not lie on

y = -4x + 6

(3,-6)

y = -4*3 + 6

y = -12 + 6 = -6

-6 is  equal to -6 as given in option, thus point (3,-6 ) does  lie on

 y = -4x + 6

(0, -6)

y = -4*0 + 6

y = 0 + 6 = 6

6 is not equal to -6 as given in option, thus point (0,-6 ) does not lie on

y = -4x + 6

(-2,2)

y = -4*-2 + 6

y = 8 + 6 = 14

14 is not equal to 2 as given in option, thus point (-2,2 ) does not lie on

y = -4x + 6

Thus, option  B. (3, -6) is the correct choice.

PLEASE HELP WILL MARK BRAINLIEST!:)
What are the solutions to the inequality (x-3)(x+5) less than or equal to 0?
a) {x| 3 less than or equal to x less than or equal to 5}
b) {x| -5 less than or equal to x less than or equal to -3}
c) {x| -5 less than or equal to x less than or equal to 3}
d) {x| -3 less than or equal to x less than or equal to 5}

Answers

Answer:c

Step-by-step explanation:

the pyramid below has a rectangular base and E is directly above A. The volume of the pyramid is 600cm^3. Work out the height of the pyramid, AE

Answers

Answer:The volume of the pyramid = (1/3)*area of base *height

= (1/3)*10*24*13 = 1040 cubic units.

The total surface area = area of rectangular base + area of 2 isosceles triangles with a base of 24 units + area of 2 isosceles triangles with a base of 10 units.

Area of rectangular base = 24*10 = 240 sq units.

WXYZ is a quadrilateral in the coordinate plane which Step will you help to show that WXYZ is a trapezoid. with explanation plz​

Answers

Answer:

Before starting, parallel lines are lines on the same plane that never intersect with each other. From the figure, the pairs of parallel lines would be WX & ZY and WZ and XY. The only correct statement in the choices is letter B.

Answer:

Option A

Step-by-step explanation:

In trapezoid, one pair of opposite sides are parallel.

Parallel lines have the same slope.

So , we have to find the slope of four sides and from that we can show that it is a trapezoid.

This scatter plot shows the relationship between students’ scores on the first exam in a class and their corresponding scores on the second exam.

Which of the following is the best estimate of the average change in the score on exam 2 associated with a 1 point increase on the score on exam 1?

A) 1/4 point
B) 1/2 point
C) 1 point
D) 2 points

Please explain your answer

Answers

Answer:

D) 2 points

Step-by-step explanation:

Compare a couple of points in the clumps of points and that is your answer

A same side interior angle of two parallel lines is three times the other same side interior angle. Find the measures of these two angles.

Answers

Answer: The angles are 135° and 45°.

Step-by-step explanation:

In this situation, we have two parallel lines that are cut by another line, and the interior angles are the ones created in between the parallel lines and the third line.

If both angles are on the same side, then we must have that the sum of the angles adds up to 180°.

If the angles are A1 and A2 we have:

A1 + A2 = 180°

and,  we also know that A1 = 3*A2, we can replace it in the previous equation and get:

3*A2 + A2 = 180°

4*A2 = 180°

A2 = 180°/4 = 45°

then A1 = 3*45° = 135°

The angles are 135° and 45°.

Other Questions
Find the cardinal number for the set. = {3, 6, 9, . . . , 36} Two vast areas of air have different temperatures and pressures, but withinthe regions, the temperatures and pressures are similar. The areas would becalled:O A. pressure troughs.O B. ridges and troughs.O C. continental disturbances.D. air masses. A card is drawn from a well shuffled pack of 52 cards. Find and match the probability of: A 2 of Spades 1/13A Jack 1/26A red King 1/4A Diamond suit 1/52 Dr. Kamran studies domestic violence and has designed a self-report scale that is meant to assess men's negative attitudes toward women. To validate her scale, she administers it to two groups of recently incarcerated male prisoners: prisoners convicted of domestic violence and prisoners convicted of other crimes. Dr. Kamran finds a statistically significant difference in the mean scores of the two groups. Which technique is Dr. Kamran using to validate her scale? A should follow a dependent cause when the dependent clause comes 1st in a sentence Jenny sells 49.5 ounces of lemonade for a total of $39.60.Find the unit price in dollars per ounce.If necessary, round your answer to the nearest cent. Kyle is 30 years old, weighs 125 pounds, and is 72 inches tall. what is his bmi 85% of z is 106,250. What is z? Which of the following audiences calls for a formal presentation? A. a business meeting B. a boy scout troop C. a third grade class D. a group of your own family commonalities used to group languages together include______. Stanley has drawn a right angle triangle. One side is 14cm and another is 18cm. There are two possible lengths for the third side. What are they? Dell XPS 15 or MacBook pro 13? f(x) SOMEONE PLEASE HELP ME ASAP PLEASE!!! The chemicals in my swimming pool use a ratio of 2 tablets of chlorine for every 5 days. Which ratio shows the number of chlorine tablets needed for 20 days? A. 5 to 20 B. 8 to 20 C. 7 to 20 D. 3 to 20 Have you ever hated anyone who treated you cruelly? How did this hatred affect you? How does the Word of God help you to deal with hatred? a) write a formula for the perimeter p of the figure.b) calculate the value of x if p=64 Solve each equation for x 3- 12= 27 Read and choose the option with the correct word or words to complete the sentence. Corro con ________. los labios las manos las piernas los hombros Where in the body does a mutation have to occur in order to cause an inherited change in the offspring?