Answer:
1. Whereby one square = One unit, we have;
Lengths of the sides of figure C are;
4, √(4² + 2²), √(4² + 2²) which simplifies to 4, 2·√5, 2·√5
Lengths of the sides of figure E are;
2, √(1² + 2²), √(1² + 2²) which simplifies to 2, √5, √5
Figure E is equivalent to figure C scaled down by a factor of 1/2
The trigonometric ratios of the two figures are therefore equal and figure C is similar to figure E but figure C is larger than figure E
2. A transformation that will create figure D from figure C is a rotation, 90° counter clockwise about the point (2, -2)
A transformation that will create figure E from figure D is a dilation of figure D by 1/2 with the midpoint of figure D being the center of dilation
Step-by-step explanation:
A record store was selling 3 used CD's for $12.51.
Online you
could buy 5 used CD's for $20.70.
Which place has a lower unit price?
Answer:
Answer: Online
Step-by-step explanation:
Find the unit price
(multiply 12.51 and 20.70 by 100 to make it easier to divide)
12.51 divided by 3 = 417
20.70 divided by 5 = 414
Hope this helps!
PLEASE HELP I WILL GIVE YOU BRINLIST
Which table of values represents the equation Cost = Number of toppings x 2 + 3 *
please help me understand this!! TRIG
Answer:
EG ≈ 6
Step-by-step explanation:
sin∅ = opposite over hypotenuse
Since we have a right triangle, we can use trig to solve for the missing values:
∅ = 49°
GE = unknown
FE (hypotenuse) = 8
sin49° = x/8
x = 8sin49°
x = 6.03768
x ≈ 6
EG ≈ 6
Giving Brainliest to the first answer that's correct!!!
Triangle X Y Z is shown. Angle Z W X is a right angle. An altitude is drawn from point W to point Y on side Z X to form a right angle. The length of W Y is 4, the length of Y X is a, the length of Z Y is 3, the length of Z W is c, and the length of W X is b.
What is the value of a?
A.) 5 units
B.) 5 and one-third units
C.) 6 and two-thirds units
D.) 7 units
Answer:
B
Step-by-step explanation:
I think its B but dont trust my math lol xd
Answer:
B
Step-by-step explanation:
5 and one-third units
⚠️⚠️ HELP ME SO I CAN BE OFFICIALLY FINISHED ⚠️⚠️
Answer:
slope = -0.5
y-intercept = 5
simplify 5^-4/5^3
please help!! :)
Answer:
1/78125 or 0.0000128 or 5^-7
Step-by-step explanation:
Apply exponent rule: x^a/x^b = x^a-b
simplify
-2.5·4
thanks hhhhhhhhh
Answer:
-10
Step-by-step explanation:
-2.5 times 4
-10
Answer:
-10
Step-by-step explanation:
Multiply the number -2.5 * 4
= -10
Determine the slope-intercept form of the equation of the line parallel to y = -x + 11 that passes through the point( -6, 2)
y =blank x + blank
Answer:(4,-3); 2x-7y=14
Step-by-step explanation:
A child shot a toy rocket into the air from their playhouse which stood 5 ft above the ground. The rocket rose to 50 ft above the ground and landed on the ground 3.4 seconds later. The path of the toy rocket could be modeled by a quadratic function, , where h is the height of the toy rocket in feet after t seconds. ⦁ What is the practical domain of the function? ⦁ What is the practical range of the function? ⦁ How would the theoretical domain and range of the function differ from the practical domain and range of the situation?
Answer:
a. 0 ≤ t ≤ 3.4 s. b. 0 ≤ y ≤ 50 ft. c. i. -∞ ≤ t ≤ +∞. ii. -∞ ≤ y ≤ 50
Step-by-step explanation:
a. What is the practical domain of the function?
Since the toy rocket lands on the ground 3.4 seconds later, if the time it starts to fly in the air is time t = 0 and the time it lands is time t = 3.4 s, the practical domain of the function is 0 ≤ t ≤ 3.4 s.
b. What is the practical range of the function?
Since the rocket reaches a maximum height of 50 ft, if the maximum height of the toy rocket is y = 50 ft and it lands on the ground at y = 0, the practical range of the function is 0 ≤ y ≤ 50 ft.
c. How would the theoretical domain and range of the function differ from the practical domain and range of the situation?
i. The theoretical values of t is from is from t = -∞ to t = +∞. So, the theoretical domain is -∞ ≤ t ≤ +∞.
ii. Since the maximum value of the function is y = 50, and it also decreases to y = -∞. So, the theoretical domain is from y = -∞ to y = 50. So, the theoretical range is -∞ ≤ y ≤ 50
Hi! I really suck at math so please help :)
Answer:
(-2,-4), (-1, -1), (0,2), (1,5)(2, 8)
Step-by-step explanation:
you plug x into the equation to get y
Answer:
-4, -1, 2, 5
Step-by-step explanation:
I used desmos to graph it
x^3 - 8x^2 + 9x - 5/ x-3
Helpppppppp me plzzzz
Answer:
x = 10°
Step-by-step explanation:
(5x + 2) + 38 = 90
5x + 2 = 90 - 38
5x = 52 - 2
5x = 50
x = 50 ÷ 5
x = 10°
Solve for a in the proportion.
find the inverse of y=4-x/x
Answer:
[tex]f^{-1} (x)[/tex]=[tex]\frac{4}{1+x}[/tex]
Step-by-step explanation:
The first step is to switch y for x and x for y so the equation will look like
x=[tex]\frac{4-y}{y}[/tex]
the next thing you do is isolate y so you have to multiply y to both sides to get
[tex]xy=4-y[/tex] now you got to add y to both sides which would get you
xy+y=4
since xy and y share a y value you have to try and factor out y which would get you
y(x+1)=4
the final step is to divide x+1 on both sides
y[tex]\frac{(x+1)}{x+1}[/tex]=[tex]\frac{4}{x+1}[/tex]
which since x+1 and x+1 crosses each other out we are left with
y=[tex]\frac{4}{1+x}[/tex]
The area of a parallelogram is 42 square inches. The base of the parallelogram is 6 inches. What is the height of the parallelogram? EXPLAIN how you can use the formula for the area of a parallelogram to solve the problem.
Answer:
7
Step-by-step explanation:
to find an area of a parallelogram, you have to multiply the width by height. to do the opposite, simply divide 42 to 6 to get 7
Order -6 1/4, -6.35, -6 1/5, and 6.1 from greatest to least. Explain.
PLEASE HELP ASAP marking brainliest ⚠️⚠️
Use the equation to complete the table
y=2x+5
**The last number is 2
Answer:
1st blank : 1
2nd : 3
3rd : 5
4th: 7
Step-by-step explanation:
you have to replace x in the equatoin by the numbers you have in the first line.
For example : y= 2x+5
y= 2(-2) + 5
y= -4+5
y= 1
Which expression is equivalent to 4x^2Sqrt5x^4 • 3sqrt5x^8, if x ≠ 0?
A) 12x^10sqrt5
B) 60x^8
C) 35x^18
D) 7x^10sqrt5
the equivalent expression is:
60*x^8
Which is option B.
How to get the equivalent expression?
Here we start with:
4*x^2*√(5x^4)*3*√(5x^8)
Remember that square roots are distributive, then we can just write:
(4*3)*(x^2)*(√(5x^4)*√(5x^8))
12*x^2*√(25x^12)
Now, the square root can now be solved
12*x^2*√(25x^12) = 12*x^2*5*x^6
= (12*6)*(x^2*x^6)
Remember that in the right side, the exponents just add, then we get:
(12*6)*(x^2*x^6) = 60*x^{2 + 6} = 60*x^8
Then the equivalent expression is:
60*x^8
Which is option B.
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a water station is located at the midpoint of ab at what marker on the path is the water station located?
Answer: Halfway between A and B.
hi please answer ASAP worth 25 points! :P
Factor completely over the set of complex numbers using the factoring pattern.
25m^2 + 36
Answer:
(5m + 6) • (5m - 6)
Step-by-step explanation:
STEP1:Equation at the end of step 1 52m2 - 36 STEP2:Trying to factor as a Difference of Squares
2.1 Factoring: 25m2-36
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 25 is the square of 5
Check : 36 is the square of 6
Check : m2 is the square of m1
Factorization is : (5m + 6) • (5m - 6)
Final result :
(5m + 6) • (5m - 6)
8(x+1)-7x ≥-3 help me find the solution
Answer:
x [tex]\geq[/tex] 11
Step-by-step explanation:
[tex]8\left(x+1\right)-7x[/tex]
[tex]8x+8-7x[/tex]
[tex]x+8[/tex]
Then..
[tex]x+8\ge \:-3[/tex]
Subtract 8 from both sides
[tex]x+8-8\ge \:-3-8[/tex]
Then, you got your awnser.
[tex]x\ge \:-11[/tex]
There are about 3×1011 stars in our galaxy and about 100 billion galaxies in the observable universe. Suppose every galaxy has as many stars as ours. How many stars are in the observable universe? Write in scientific notation.
The number of stars in the observable universe is; 3.033 × 10¹⁴
Since there are about 3 × 1011 stars in our galaxy; we can rewrite that to be;
3033 stars or3033 stars or3.033 × 10³ stars in our galaxy.However, there are about 100 billion galaxies in the observable universe.
We can rewrite that in scientific notation form so that we have;
100 × 10⁹ or 100 × 10⁹ or 10¹¹ galaxies in the observable universe.Ultimately, since our galaxy is one of the 10¹¹ observable galaxies in the universe; the number of stars in the observable universe is;
3.033 × 10³ × 10¹¹By the laws of indices;
3.033 × 10¹⁴.Therefore, the number of stars in the observable universe is; 3.033 × 10¹⁴.
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A sprinter on the track team ran the 100 meter dash and redcorded the time for each race. The race times (in seconds) were:
12.4 13.1 12.7 12.8 13.0 12.9 13.1 13.5
Answer:
What is the question please post the full question next time
The cost of Kerri’s meal was $10. If she wants to leave a 15% tip, how much should she leave? Use the percent proportion to help you ( part/whole = percent/100).
Keith needs to drive a total of 18 miles. So far, he has driven 9.4 miles. How many more miles must Keith drive?
What must be the value of x so that lines a and b are parallel lines cut by transversal f?
10
20
22
32
Answer:
22
Step-by-step explanation:
96° = (6x - 36)° (alternate exterior angles theorem)
Solve for x using the equation.
96 = 6x - 36
Add 36 to each side
96 + 36 = 6x - 36 + 36
132 = 6x
Divide both sides by 6
132/6 = 6x/6
22 = x
x = 22
Answer:22
Step-by-step explanation: took it on edge also f edge2020
A contractor purchases ceramic tile to remodel a kitchen floor. Each tile cost $4 and the adhesive/grouting material costs $17.82. If the contractor pays a total of $545.82 how many ceramic tiles did the contractor purchase
Answer:
132 tiles
Step-by-step explanation:
Each tile cost $4
The adhesive/grouting material costs $17.82.
If the contractor pays a total of $545.82
Let the number of tiles be represented as x
The equation is represented as:
$17.82 + $4 × x = $545.82
17.82 + 4x = 545.82
Collect like terms
4x = 545.82 - 17.82
4x = 528
Divide bother sides by 4
4x/4 = 528/4
x = 132
The number of ceramic tiles the contractor bought = 132 tiles
Jason bought a soft drink for 3 dollars and 4 candy bars he spent a total of 11 dollars. How much did each candy bar cost
Answer:
2$
Step-by-step explanation:
Answer:
2 dollars each
Step-by-step explanation:
11-3=8, 8 divided by 4 bars is 2. Therefore, the answer is 2 dollars each.
Select all terms that are like terms 5 yx2 -8 x2 1.25 x2 1/2 x2 -3.4 x3 4 x 5 3/8
Simplify:
A.
B.
C.
D.
Answer:
C
Step-by-step explanation:
The absolute value function always gives a positive result, that is
| - a | = | a | = a
Given
[tex]\frac{|-12-3|}{4}[/tex] - [tex]\frac{|23-42|}{8}[/tex]
= [tex]\frac{|-15|}{4}[/tex] - [tex]\frac{|-19|}{8}[/tex]
= [tex]\frac{15}{4}[/tex] - [tex]\frac{19}{8}[/tex]
= [tex]\frac{15(2)}{4(2)}[/tex] - [tex]\frac{19}{8}[/tex]
= [tex]\frac{30}{8}[/tex] - [tex]\frac{19}{8}[/tex]
= [tex]\frac{30-19}{8}[/tex]
= [tex]\frac{11}{8}[/tex] → C
The simplification of the given equation is 11/8. thus option /c is correct.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output. An equation is an expression that shows the relationship between two or more numbers and variables.
The absolute value function always gives a positive result, which is;
| - a | = | a | = a
Given that | 12 - 3 |/4 - | 23 -42 | /8
| 12 - 3 |/4 - | 23 -42 | /8
| 15 |/4 - | -19 | /8
= 15/4 - 19/8
= 30/8 - 19/8
= 11/8
Therefore, the simplification of the given equation is 11/8. thus option /c is correct.
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