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4 years ago

9

What’s the equation of a slope of 5/7 and a y-intercept of -3

1 answer:

Drupady [299]4 years ago

8 0

Answer:

Step-by-step explanation:

in y = mx + b form, the slope is in the m position and the y intercept is in the b position.

y = mx + b

slope(m) = 5/7

y int (b) = -3

y = 5/7x - 3 <===

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Find the length and the midpoind of the segment with the given endpointsA(2,3 )and B(5,7)

Colt1911 [192]

Answer:

$Suppose,~a~line~segment~has~midpoints~(x_1,y_1)~and~(x_2,y_2). Then,\\Midpoint~of~the~line = (\frac{x_2+x_1}{2},\frac{y_2+y_1}{2})\\Distance = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\According~ to~ the ~question,\\(x_1,y_1) = A(2,3)\\(x_2,y_2) = B(5,7)\\Midpoint~of~AB = (\frac{2+5}{2},\frac{3+7}{2}) = (\frac{7}{2},5)\\AB = \sqrt{(5-2)^2+(7-3)^2} = \sqrt{3^2+4^2} = 5units$

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3 years ago

In the figure, x:y = 2:3 and y:z = 3:5. If x = 10, find the value of z. 15 20 25 30

Solnce55 [7]

x:y =x: y

10: y =2:3

2y=30

y=15

y:z=y:z

15:z=3:5

3z=75

z=25

7 0

3 years ago

A roller coaster at an amusement park rises to a height of 196 feet above the ground. So far, it has risen 36% of this height. T

Eva8 [605]

Answer:

Step-by-step explanation:

196*36%=70.56 feet

He rounded the percent to 40% and the number to 200.

6 0

3 years ago

Read 2 more answers

How to simplify the expression <br> 10h+6-5h+3

marin [14]

Answer:

You just have to combine terms

Step-by-step explanation:

10h + 6 - 5h +3 can be written as:

10h - 5h + 3 + 6 (now all you have to do is combine terms)

<u>5h + 9</u>

8 0

3 years ago

20.Solve the triangle: b = 100, c = 100, y = 70". If it is not possible, say so.This triangle is not solvable.Q = 40", a = 68.4,

saveliy_v [14]

Answer:

$\begin{gathered} \alpha=\text{ 40\degree} \\ \beta=\text{ 70\degree} \\ a=68.4 \end{gathered}$

Step-by-step explanation:

By the theorem of intern angles of a triangle, we know that the sum of all intern angles of a triangle must be 180°, therefore:

*There are two equal angles because there are two equal sides

$\begin{gathered} \alpha=180-70-70 \\ \alpha=\text{ 40\degree} \\ \beta=\text{ 70\degree} \end{gathered}$

Now, applying the law of sines, we can find side a. The law of sines is represented by the following equation:

$\frac{a}{\sin \alpha}=\frac{b}{\sin \beta}$

Hence, if b=100, alpha=40° and betha=70°, solve for a:

$\begin{gathered} \frac{a}{\sin (40)}=\frac{100}{\sin (70)} \\ a=\frac{100\cdot\sin (40)}{\sin (70)} \\ a=\text{ 68.4} \end{gathered}$

7 0

1 year ago