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2 years ago

Find the equation of the line with Slope = -4 and passing through (-1,8). Write your equation in the form

Mathematics

1 answer:

Thepotemich [5.8K]2 years ago

8 0

Answer:

y= -4x+4

Step-by-step explanation:

y=mx+b

where x=-1, y=8, and m=-4

8=(-4)(-1)+b

8=4+b

4=b

Thus, y= -4x+4

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Tasya [4]

10^2x²-3=10^9-x²

by comparison,

2x²-3=9-x²

3x²=12

x²=4

x= 2 or -2

4 0

3 years ago

A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13 What is the: Total Surface Area of the Prism

sdas [7]

Given:

A right prism has height 7½ and triangular bases with sides of length 5, 12, and 13.

To find:

The total surface area of the prism.

Solution:

We have,

Height of prism = 7½ = 7.5

Sides of triangular base are 5, 12, 13. These sides of Pythagorean triplets because

$5^2+12^2=13^2$

$25+144=169$

$169=169$

So, the base of the prism is a right triangle.

Area of a triangle is

$Area=\dfrac{1}{2}\times base \times height$

$A_1=\dfrac{1}{2}\times 5\times 12$

$A_1=30$

The area of the base is equal to the area of the top, i.e., $A_2=30$ sq units.

Perimeter of the base is

$P=5+12+13$

$P=30$

The curved surface area of the prism is

$CSA=\text{Perimeter of the base}\times \text{Height of the prism}$

$CSA=30\times 7.5$

$CSA=225$

Now, the total area of the prism is

$A=A_1+A_2+CSA$

$A=30+30+225$

$A=285$

Therefore, the total surface area of the triangular prism is 285 square units.

5 0

2 years ago

Which equation represents a relationship that will be a line graphed <br>

ElenaW [278]

Answer:

need the graph

Step-by-step explanation:

need the graph need the graph need the graph need the graph need the graph need the graph

6 0

2 years ago

What set of transitions are applied to parallelogram ABCD to create abcd?

Ronch [10]

Reflection, i am guessing

8 0

2 years ago

8x-5y=15 <br>6x+4y=43<br>solve the system by any method

Sedbober [7]

Answer:

$x=\frac{275}{62}$ , $y=\frac{127}{31}$

Step-by-step explanation:

<h3>I will use the elimination method.</h3>

We want to make the X's the same:

$24x-15y=45$

$24x+16y=172$

Because the signs of the X's are the same we subtract the 2 equations to make:

(I put the second one on top of the 1st)

$31y=127$

So:

$y=\frac{127}{31}$

Substitute y into either equation 1 or 2:

(I chose equation 1)

$8x-5(\frac{127}{31})=15$

$8x=5(\frac{127}{31}) + 15$

$x=\frac{5(\frac{127}{31})}{8}$

So:

$x=\frac{275}{62}$

5 0

2 years ago