There plz help me is my last question and assignment

Given:

The length of the rectangle = [tex]y^2+3y+7[/tex]

Width of the rectangle = [tex]y-3[/tex]

To find:

How much longer is the length?

Solution:

We need to find the difference between length and width of the rectangle.

[tex]Difference=Length-Width[/tex]

[tex]Difference=y^2+3y+7-(y-3)[/tex]

[tex]Difference=y^2+3y+7-y+3[/tex]

[tex]Difference=y^2+(3y-y)+(7+3)[/tex]

[tex]Difference=y^2+2y+10[/tex]

Therefore, the length of the rectangle is [tex]y^2+2y+10[/tex] much longer than the width.

Answer:

8 sodas/cooler

Step-by-step explanation:

4 · 6 = 24

24/3 = 8

Answer:

Step-by-step explanation:

28 students all give $128

so,

[tex]\sqrt[28]{128}[/tex]= v  v=6

Each student gave 6 dollars. This is true due to the fact that

[tex]\sqrt[28]{128}[/tex]=6

28X6=128

Answer:

Median is used to describe the center of the data of heights of 50 basketball players.

Step-by-step explanation:

The median divides the data into two equal parts.

It can be used to describe the center of the data.

The mean gives the average where most data lies.

The advantages of median are

1)it is located even when the values are not capable of quantitative measurements.

2) It is not affected by extreme values > It can be computed even when a frequency distribution  involves open end classes like those of income and prices.

3) In a highly skewed distribution median is appropriate average to use.

The disadvantages of the mean are

1) it is greatly affected by extreme values.

2) It sometimes gives fallacious conclusions.

3) In a highly skewed distribution mean is  not an appropriate average to use.

4) It cannot be computed even when a frequency distribution  involves open end classes like those of income and prices.

Answer:

63. so it'll be 7:63

Step-by-step explanation:

1:9

7:x

(we multiplied 1 by 7 to get 7 so multiply 9 by 7)

9*7= 63

Answer:

cylinder radius and height

cone radius height

sphere raduis

Answer:

1) The vertices of the hyperbola are (-8, -15), (-8, 3)

2) The foci of the hyperbola are (11, -7) or (1, -7)

Step-by-step explanation:

1) The vertices of a hyperbola given in the form [tex]\dfrac{\left (y - k\right)^2}{a^2} -\dfrac{\left (x - h\right)^2}{b^2} = 1[/tex] is (h, k ± a)

Therefore, for the given hyperbola with the following equation;

[tex]\dfrac{\left (y + 6\right)^2}{81} -\dfrac{\left (x + 8\right)^2}{49} = 1[/tex], we have;

[tex]\dfrac{\left (y + 6\right)^2}{9^2} -\dfrac{\left (x + 8\right)^2}{7^2} = 1[/tex]

Therefore the vertices are;

(-8, -6 ± 9) = (-8, -15), (-8, 3)

2) The equation of the given hyperbola is presented as follows;

[tex]\dfrac{\left (x - 6\right)^2}{16} -\dfrac{\left (y + 7\right)^2}{9} = 1[/tex]

The given hyperbola is of the form;

[tex]\dfrac{\left (x - h\right)^2}{a^2} -\dfrac{\left (y - k\right)^2}{b^2} = 1[/tex]

We get;

[tex]\dfrac{\left (x - 6\right)^2}{4^2} -\dfrac{\left (y + 7\right)^2}{3^2} = 1[/tex]

The foci is then (h ± c, k)

Therefore, by comparison, the foci of the given hyperbola is (6 ± c, -7)

Where c² = a² + b²

∴ c² = 4² + 3² = 25

c = √25 = 5

∴ The foci; (6 ± 5, -7) = (11, -7) or (1, -7).

Answer:

a) IJ is median

b) I is midpoint of HE, therefore, HI = IE

Substitute values and solve for x:

Answer:

a) IJ is median

IJ = 1/2(HG + EF)

IJ = 1/2(8 + 12) = 10 cm

b) I is midpoint of HE, therefore, HI = IE

Substitute values and solve for x:

10 = x - 4

x = 10 + 4

x = 14 cm

Step-by-step explanation:

Answer:

50m

Step-by-step explanation:

let the width be x

length=3x

3x+3x+x+x=400

8x=400

x=400÷8

x=50

Answer:

a regular polygon has all angles measure sum up to 360 degrees so each interior angle = sum of alll angles/no.of sides so it is 360/10= 36 degrees hope its clear now

Step-by-step explanation:

Answer:

Step-by-step explanation:

Find the slope of each line. If the slopes are the same, the lines are parallel. Otherwise, the lines intersect.

Slope of line passing through (x₁, y₁) and (x₂, y₂) = (y₂-y₁)/(x₂-x₁)

Slope of line passing through (0, 5) and (-6, 3) = (3-5)/(-6-0) = ⅓

Slope of line passing through (-15, 0) and (-21, -2) = (-2-9)/(-21-(-2)) = 11/19

The lines intersect.

Answer:

see explanation

Step-by-step explanation:

∠ 1 and ∠ 2 are adjacent angles and are supplementary, sum to 180° , so

5x + x + 54 = 180 ← equation to solve to find x

6x + 54 = 180 ( subtract 54 from both sides )

6x = 126 ( divide both sides by 6 )

x = 21

Then

∠ 1 = 5x = 5 × 21 = 105°

∠ 2 = x + 54 = 21 + 54 = 75°

Answer:

A = 33.6 sq units

Step-by-step explanation:

A (trapezoid) = 1/2(4)(14+2) = 2(16) = 32

A (semi-circle) = π(1)/2 = 1.57

Answer:

1. 48ft

2. 28 inches

Step-by-step explanation:

1. 6x8=48

2. 4x7=28

Answer: Annie needs 13 quarts of coffee

Step-by-step explanation:

Answer:

the 3rd one

Step-by-step explanation:

Answer:

last one

Step-by-step explanation:

Answer:

I think it is B

hope this helps

Answer is 15 miles

This is because:

1 inch- 5 miles

3 inches- 15 miles

3x5=15 miles

Hope this helps!

Step-by-step explanation:

if you do 14 divided by 7 gives you 2 am I right

Answer:

Angle b= angle c =83degree

Angle d =97degree

Step-by-step explanation:

Since isosceles:

Angle b =angle c

Angle a= angle d

Angle d =a=97

Sum of quadrilateral inner degrees:360

(360-2x97)/2=b=c=83

Answer:

Answer:

Angle b= angle c =83degree

Angle d =97degree

Step-by-step explanation:

Since isosceles:

Angle b =angle c

Angle a= angle d

Angle d =a=97

Sum of quadrilateral inner degrees:360

(360-2x97)/2=b=c=83

Step-by-step explanation:

Answer:

The quadratic formula is:

-b +/- √b² - 4(a)(c)

           2a

Pretend the underline is a division line.

The square root symbol (√) counts for everything after it, not just b² btw.

Step-by-step explanation:

I know this video is cheesy, but the song helped me memorize it so I didn't have to look it up every time.

https://youtu.be/VOXYMRcWbF8

Step-by-step explanation:

Quadratic Formula :-

[tex]\sf{ x = \dfrac{ - b \pm \sqrt{b^2 - 4ac}}{2a}}[/tex]

Which works according to :-

[tex]\rm{ax^2 + bx + c}[/tex]

In case you do not know, this is also called Sridhar Acharya's formula.

Hope it helps :)

Answer:

-6,-9,-20,-25.

Step-by-step explanation:

You need to multiply a negative to make it positive as a negative multiplied by a negative equals a positive. But anything besides -1,-2,-3,-4,-5 and all positves can be placed.

What are the options???

Answer:

c 10

Step-by-step explanation:

2units each and there are five spaces , this 10

Answer:

y = -5x - 19

Step-by-step explanation:

y = -5x + b

-4 = -5(-3) + b

-4 = 15 + b

-19 = b

Answer:

32n +8

Step-by-step explanation:

4(8n + 2)

32n+8

Answer:

2,9 should be your answer

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Step-by-step explanation:

Answer: 105ft

Step-by-step explanation: If 1cm is 3.5ft then you should multiply 3.5ft by 30 cm to get 105ft.