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3 years ago

Write the slope-intercept form of the line that passes through (-10,17) and (5,-4)

Mathematics

1 answer:

luda_lava [24]3 years ago

3 0

Answer:

y = 7/5 x + 31

Step-by-step explanation:

To find the slope, we need to use the formula

m = (y2-y1)/(x2-x1)

m =(-4-17)/(5- -10)

= -21/(5+10)

= 21/15

Divide the top and bottom by 3.

= 7/5

The slope is 7/5.

Using the point slope form of the equation,

y-y1 = m(x-x1)

y-17 = 7/5 (x--10)

y-17 = 7/5(x+10)

Distribute the 7/5 ths.

y-17 = 7/5 x + 7/5*10

y-17 = 7/5 x +14

Add 17 to each side

y = 7/5 x + 14 + 17

y = 7/5 x + 31

This is in slope intercept form, with the slope being 7/5 and the y intercept of 31

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Hello everyone, could you please solve this problem step by step. I don't have the exact solution and there are no options for i

lara31 [8.8K]

Answer:

The area of the shaded part = 61.46

Step-by-step explanation:

Assume the hypotenuse of the triangle is c (c>0)

As the triangle inscribed in the semi circle is the right angle triangle, its hypotenuse is equal to the diameter of the circle.

The hypotenuse of the triangle can be calculated by Pythagoras theorem as following: $c^{2} =a^{2} +b^{2} =(2\sqrt{5}) ^{2} + (4\sqrt{5}) ^{2} = 20 + 80 = 100$

=> c = 10

So that the semi circle has the diameter = 10 => its radius = 5

The total area of 2 semi circles is equal to the area of the circle with radius =5

=> The total area of 2 semi circles is: $\pi$ x $5^{2}$ = 25 $\pi$

The area of a triangle inscribed in the semi circle is: 1/2 x a x b = 1/2 x $2\sqrt{5\\$ x $4\sqrt{5}$ = 20

=> The area of 2 triangles inscribed in 2 semi circles is: 2 x 20 = 40

The area of the square is: $c^{2}$ = $10^{2} =100$

It can be seen that:

The area of the shaded part = The area of the square - The total area of 2 semi circles + The total are of 2 triangles inscribed in semi circles

= 100 - 25 $\pi$ + 40 = 61.46

6 0

3 years ago

What is the value of z so that -9 and 9 are both solutions of x^2+z=103?

Ira Lisetskai [31]

The answer is C.
x^2 + z = 103x^2 + 22 = 103*Subtract both sides by 22*x^2 + 22 - 22 = 103 - 22x^2 = 81*square root both sides to find x*√x^2 = √81
x = +- 9

8 0

3 years ago

Round 87671.5613658 to the nearest thousand

seropon [69]

To round the number 87671.5613658 to the nearest thousand, or the place value that is four to the left of the decimal, which would be the 7 bolded below:
87671.5613658

Consider the number to the right of it, 6. If the number is below 5, then you would round down to 87000 and if the number is 5 and above, then you round up to 88000. Because 6 is 5 and above, you would round up to 88000 which would be your answer. :)

8 0

3 years ago

Find the coordinates of the points D (4,-4) and E (5,-5) after the transformation (x,y) →

LiRa [457]

D = (7, -9)

E = (8, -10)

hope this helps!

4 0

3 years ago

1/4 is to 1 1/4 as 2 is to b

kodGreya [7K]

Answer:

b=22

Step-by-step explanation:

11/4 divided by 1/4 equals 11. 11*2 =22

7 0

3 years ago