The value of y varies directly with x, and y = 40 when x = -5. Find y when x = 8

Answer:

false

Step-by-step explanation:

Answer:

[tex]2y = -3x+7[/tex]

Step-by-step explanation:

The coordinates are (3,-1) and (-1,5)

Finding the slope :

Slope = [tex]\frac{rise}{run}[/tex]

Slope = [tex]\frac{5+1}{-1-3}[/tex]

Slope = [tex]\frac{6}{-4}[/tex]

Slope = [tex]-\frac{3}{2}[/tex]

Now Finding y-intercept.

For this, we'll take any point

Let it be (3,-1)

So,

Point = (x,y) = (3,-1)

=> x = 3, y = -1

Putting in slope intercept form to get b

=> [tex]y = mx+b[/tex]

=> -1 = (3)([tex]-\frac{3}{2}[/tex]) + b

=> b =  -1 +  [tex]\frac{9}{2}[/tex]

=> b = [tex]\frac{7}{2}[/tex]

Putting m and b in the slope intercept form to get the required equation of line

=> [tex]y = mx+b[/tex]

=> [tex]y = \frac{-3x+7}{2}[/tex]

=> [tex]2y = -3x+7[/tex]

Answer:

Jemima is wrong because perimeter is sum of all sides and the perimeter of this figure would be the outer sides of it and not the inner sides.

Answer:

See below.

Step-by-step explanation:

She is wrong because  3 times the perimeter  of one triangle is the sum of 9 sides of the triangles.

In the shape  we see that some of the sides of the triangles are 'shared' and dare not part of the perimeter of the shape,  - the perimeter is only the length of 5 sides of a triangle.

So the perimeter is less than the sum of the sides of the 3  triangles.

Answer:  17.8 yds

Step-by-step explanation:

The length of the arc of the ENTIRE circle is the circumference (C = 2πr).

We only want a 60° section of that circumference which is 60°/360° = 1/6 of the circumference.

The formula for length of an arc is: [tex]s=2\pi r\bigg(\dfrac{\theta}{360^o}\bigg)[/tex]

Given r = 17, θ = 60°

[tex]s=2\pi (17)\bigg(\dfrac{60^o}{360^o}\bigg)\\\\\\.\quad =2\pi(17) \bigg(\dfrac{1}{6}\bigg)\\\\\\.\quad =\dfrac{17 \pi}{3}\\\\\\.\quad =\large\boxed{17.8}[/tex]

Answer:

A. Add the endpoints

C. Divide -12 by 2

Step-by-step explanation:

To find the midpoint of the vertical line segment with endpoints (0, 0) and (0, -12).

Step 1: Add the endpoints (y-coordinates)

0+-12=-12

Step 2: Divide -12 by 2

-12/2=-6

Therefore, the y-coordinate of the midpoint of a vertical line segment is -6.

Options A and C are correct.

Answer:

499/36

Step-by-step explanation:

If you find the LCM of all fractions and add them then you get 279/36+204/36+16/36 which is equal to 499/36

Answer:

Its B or 13

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Work Shown:

L = (0,1)

N = (6,1)

m = slope of LN

m = (y2-y1)/(x2-x1) is the slope formula

m = (1-1)/(6-0)

m = 0/6

m = 0

Points L and N are on the same horizontal level, so line LN is horizontal and completely flat. We can see this by noting the y coordinates are both the same. All horizontal lines have a slope of 0 to indicate no change in y value (ie, no change in rise; no increase nor decrease)

Answer:

sin(g) = x/z

Step-by-step explanation:

Sine is opposite over hypotenuse. Our opposite is x and our hypotenuse is z. Therefore, our answer is sin(g) = x/z

Answer: -7

Step-by-step explanation:

-3 is across from -7 on the chart, so -7 is the x that houses with the f(x) -3

Answer:

25/8

Step-by-step explanation:

Given That:

R = 8x+4y

X= 8

R = 30.

So, 8 x 8 +4y = 30

Simplify, Rearrange and solve.

64 + 4y = 30

4y = 30/64 = 15/32

y = 15/32 divided by 4

y = 15 / 32 x 1/4

y = 15/(32 x 4) = 15/128

hope this helps

3,750 yearly

Step-by-step explanation:

25000 wolves x 15% yearly =

25000 + 3750 yearly = 28750 1st year account

Answer:

D

Step-by-step explanation:

Answer:

Area = 110 cm²

Step-by-step explanation:

You can find the area of a regular pentagon by finding the area of one of the triangles created by its central angle and multiplying it by 5.

1. Use the formula for the area of a triangle to find the area of the triangle formed by its central angle.

[tex]A = \frac{1}{2} bh\\\\A = \frac{1}{2}8(5.5)\\\\A = \frac{1}{2}44\\\\A = 22[/tex]

2. Multiply this area by 5 to get the area of the entire pentagon.

A = 22(5)

A = 110

Answer:

3. [tex]\overline{PM}\cong \overline{ON}[/tex] Distances between two parallel lines [tex]\overline{MN} \ and\ \overline{PO}[/tex]

4. [tex]\overline{AC}[/tex] = [tex]\overline{CE}[/tex]: Reason; Corresponding part of ΔACB and ΔDCE

C is the midpoint of [tex]\overline{AE}[/tex]: Reason;  [tex]\overline{AC}[/tex] = [tex]\overline{CE}[/tex]: Definition of midpoint

Step-by-step explanation:

3. A parallelogram is defined as a quadrilateral with two opposite sides equal and parallel and having equal opposite interior angles

MNOP is a parallelogram: Reason; Given

[tex]\overline{PM}\left | \right |\overline{ON}[/tex] : Reason; Opposite sides of a parallelogram

∠NOM ≅ ∠OMP: Reason Alternate interior angles

[tex]\overline{MN}\left | \right |\overline{PO}[/tex]: Reason; Opposite sides of a parallelogram

∠NMO ≅ ∠MOP: Reason Alternate interior angles

[tex]\overline{PM}\cong \overline{ON}[/tex] Distances between two parallel lines [tex]\overline{MN} \ and\ \overline{PO}[/tex]

4. [tex]\overline{AB}\left | \right |\overline{DE}[/tex] : Reason; Given

∠EAB ≅ ∠AED: Reason; Alternate int. ∠s Thm

∠ABC ≅ ∠EDB : Reason; Alternate int. ∠s Thm

C is the midpoint of  [tex]\overline{BD}[/tex]: Reason; Given

[tex]\overline{BC}[/tex] = [tex]\overline{CD}[/tex]: Reason; Definition of midpoint

Therefore, ΔACB ≅ ΔDCE: Reason Angle Angle Side (AAS) Theorem

[tex]\overline{AC}[/tex] = [tex]\overline{CE}[/tex]: Reason; Corresponding part of ΔACB and ΔDCE

C is the midpoint of [tex]\overline{AE}[/tex]: Reason; Definition of midpoint

Answer:

9. a₁ = 13, aₙ = aₙ₋₁ × (-2)

10. aₙ = 2 (-3)ⁿ⁻¹

Step-by-step explanation:

9. aₙ = 13 (-2)ⁿ⁻¹

This is a geometric sequence where the first term is 13 and the common ratio is -2.

So the recursive formula is:

a₁ = 13, aₙ = aₙ₋₁ × (-2)

10. a₁ = 2, aₙ = aₙ₋₁ × (-3)

This is a geometric sequence where the first term is 2 and the common ratio is -3.

So the explicit formula is:

aₙ = 2 (-3)ⁿ⁻¹

Answer:

[tex]g =7^{2} -w^{2}[/tex]

Step-by-step explanation:

[tex]w = 7 -\sqrt{g} \\re arrange\\\sqrt{g} = 7-w\\square both side\\\sqrt{g}) ^{2} =(7-w)^{2} \\g = 7^{2} -w^{2}[/tex]

Answer:

17

Step-by-step explanation:

There are a total of 39 students.

students.

The number of students that play football is twice as much as the number of students that play volleyball.

Let the number that plays volleyball be x then the number that plays football will be 2x. This we have

x + 2x = 39

3x = 39

x = 13

The total number that plays volleyball is 13.

The total number that plays football will be 2 x 13 = 26

Since 9 students play both sports, the number of students that plays only football will be 26 - 9 = 17.

Answer:

Area of ΔXYZ = 35.499 cm²

Step-by-step explanation:

From the figure attached,

In triangle XOY,

Sin38° = [tex]\frac{\text{OX}}{\text{XY}}[/tex]

OX = (XY)Sin38°

OX = (9.3)Sin38°

      = 5.7257 cm

Area of a triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                             = [tex]\frac{1}{2}(\text{YZ})(\text{OX})[/tex]

                             = [tex]\frac{1}{2}(12.4)(5.7257)[/tex]

                             = 35.499 square cm

Therefore, area of the given triangle XYZ = 35.499 cm².

Answer:

B. The volume of a sphere is expressed in cubic units and the surface area of a sphere is expressed square units.

Step-by-step explanation:

Answer:

1) 5.9

2) 8.1

3) 54

Step-by-step explanation:

A is opposite, so we have sine 36=a/10

sine 36(10)=a

a=5.9

B is adjacent, so we have cosine 36=b/10

cosine 36(20)=b

b=8.1

Angles of a triangle add to 180

we have a angle of 36 and a right angle which is 90

36+90=126

180-126=54

Step-by-step explanation:

Graphing Linear Inequalities

This is a graph of a linear inequality:

linear inequality y <= x +2

The inequality y ≤ x + 2

You can see the y = x + 2 line, and the shaded area is where y is less than or equal to x + 2

Linear Inequality

A Linear Inequality is like a Linear Equation (such as y = 2x+1) ...

... but it will have an Inequality like <, >, ≤, or ≥ instead of an =.

How to Graph a Linear Inequality

First, graph the "equals" line, then shade in the correct area.

There are three steps:

Rearrange the equation so "y" is on the left and everything else on the right.

Plot the "y=" line (make it a solid line for y≤ or y≥, and a dashed line for y< or y>)

Shade above the line for a "greater than" (y> or y≥)

or below the line for a "less than" (y< or y≤).

Let us try some examples:

Example: y≤2x-1

1. The inequality already has "y" on the left and everything else on the right, so no need to rearrange

2. Plot y=2x-1 (as a solid line because y≤ includes equal to)

Answer:

three-fifths times a number is 15

Step-by-step explanation:

let the unknown number be x

based on the answer above:

3/5 × x = 15

3/5x = 15

Answer: C is the correct answer

Step-by-step explanation:

Answer:

Dear user,

Answer to your query is provided below

Pages full = 13

Card on last page = 1

Step-by-step explanation:

Rafael has 118 baseball cards.

Each album can hold 9.

So, using multiples of 9 or by dividing 118/9

That 1 is remainder.

So, cards on last page is 1

Verify ,

Pages full = (118-1)/9 = 13

Answer:  C

Step-by-step explanation:

Translating  A'B'C' to A''B''C'' doesn't change the position of the vertices  and to make it smaller you have dilate the figure because that is the only way to change the size of a shape.  

.Reflecting the figure  changes the position of the vertices so A and D can't be an answer choice.

Answer:

Step-by-step explanation:

We have,

Mean = Σx/n

or 12= (m+n+s+p+q)/5

or, m+n+s+p+q = 60 ...........(i)

Again,

New Mean = (m+4+n-3+s+6+p-2+q+8)/5 [∵ n = 5]

or, New Mean = {(m+n+s+p+q)+13}/5

or, New Mean = (60+13)/5 = 73/5 [from eq (i)]

∴ New Mean = 14.6 Ans.

Answer:

The sum after the second year is rs.4752

Step-by-step explanation:

The interesting thing about solving for compound interest problems is understanding that the principal changes every year.

To solve this problem, we will break it into two years and solve for each year, so we can obtain the final sum to be paid at teh end of the second year.

Please note:

P = principal {the original sum invested}

R = rate of interest.

T= time required to pay back

Sum after the First Year:

Interest = [tex]\frac{P \times R \times T}{100}=\frac{4000 \times 8 \times 1}{100}=320[/tex]

Therefore his money after the first year is got by adding the interest of 320 to the initial principal which will givers. 4320.

After the first year, the money that will be used to calculate the new interest paid will be this rs.4320 obtained at the end of the first year.

Sum after the second Year

Interest =[tex]\frac{P \times R \times T}{100}=\frac{4320 \times 10 \times 1}{100}=432[/tex]

Sum = 4320+432 = rs.4752

Hence, the sum after the second year is rs.4752

Answer:

Yes

Step-by-step explanation:

Yes, M is the midpoint of AB.

The length of the whole line AB is 44. So, if any midpoint is drawn on it, The two parts of the line will be equal and half of the total lines measure.

Whole line's measure = AB = 44

If any Midpoint say "M" is drawn on it, the measures of divided line would be halved.

AM = BM = 44/2 = 22

Answer:

Hope this helps. Good luck

Step-by-step explanation:

Answer:

y = ln(x) + 4

Step-by-step explanation:

Fastest way to do this is to graph each equation into a graphing calc and match it with the given graph.

Answer:

[tex]6x^2-3x[/tex]

Step-by-step explanation:

[tex]3x(2x-1)[/tex]

[tex]3x(2x)+3x(-1)[/tex]

[tex]6x^2+-3x[/tex]

After apply distributive property, required solution is,

⇒ 6x² - 3x

We have tp given that,

An expression to simplify,

⇒ 3x (2x - 1)

We can simplify it by distributive property,

⇒ 3x (2x - 1)

⇒ 3x × 2x - 3x × 1

⇒ 6x² - 3x

Therefore, The required solution is,

⇒ 6x² - 3x

Learn more about the mathematical expression visit:

brainly.com/question/1859113

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