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Maslowich
2 years ago
10

I’m honestly confused on how to solve for k. please help.

Mathematics
1 answer:
stellarik [79]2 years ago
4 0

Answer:

k=9

Step-by-step explanation:

slope =  \frac{y2 - y1 }{x2 - x1}  \\  \frac{ - 5}{2}  =  \frac{ - 11 - k}{6 - ( - 2)}  \\  -  ( \frac{5}{2} ) =  - ( \frac{11 + k}{8} ) \\  \frac{5}{2}  =  \frac{11 + k}{8}  \\ 5  \times 8 = 2(11 + k) \\ 40 = 22 + 2k \\ k =  \frac{40 - 22}{2}  \\ k = 9

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A rectangle's width is 5 feet less than its height. If the area of the rectangle is 564 square feet, what is its length, in feet
larisa86 [58]

We can set up an equation: x * (x + 5) = 564, where x is the length of the rectangle we are trying to solve. Using the quadratic formula to solve this, we eventually come up with approximately 21.38 as a value for x. We can verify this by typing 21.38 * (21.38 + 5) into a calculator and seeing that it approximately equals 564.

5 0
3 years ago
The market is located at point (−4, −3) on the coordinate graph. The barber shop is 8 units to the right and 4 units up from the
Evgesh-ka [11]

Answer:

(4, 1)

Step-by-step explanation:

8 units to the right = x + 8, so -4 + 8 = 4

4 units up = y + 4, so -3 + 4 = 1

4 0
3 years ago
Which best explains whether a triangle with side lengths 2 in., 5 in., and 4 in. is an acute triangle?
Leviafan [203]

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 The triangle is not acute because 2² + 4² < 5².

Step-by-step explanation:

4 0
2 years ago
4. 9d - 5 = 4<br><br> What does d =<br> 5. 6-3w=-27 what does w =<br> 6. -4= q/8-19 what does q =
trapecia [35]

Answer:

4) d = 1

5) w = 11

6) q = 120

Step-by-step explanation:

<em>4)</em> 9d - 5 = 4

Adding 5 on both the sides ,

=  > 9d - 5 + 5 = 4 + 5

=  > 9d = 9

Dividing both the sides by 9 ,

=  >  \frac{9d}{9}  =  \frac{9}{9}

=  > d = 1

<em>5)</em> 6 - 3w =  - 27

Substracting 6 from both the sides ,

6  - 3w - 6 =  - 27 - 6

=  >  - 3w =  - 33

Dividing both the sides by -3 ,

=  >  \frac{ - 3w}{ - 3}  =  \frac{ - 33}{ - 3}

=  > w = 11

<em>6)</em> - 4 =  \frac{q}{8}  - 19

Adding 19 on both the sides ,

\frac{q}{8}  - 19 + 19 = - 4 + 19

=  >  \frac{q}{8}  = 15

Multiplying both the sides by 8 ,

=  >  \frac{q}{8}  \times 8 = 15 \times 8

=  > q = 120

6 0
3 years ago
Omg someone pleaseeee help me!!! 30 points!!!
Crank

add the volume of a cone, V=1/3 pi times radius squared times h. The volume of the cone is V=355. Then you add the volume of the cone to the volume of the cylinder. the formula for the volume of a cylinder is V= pi times radius squared times h. So the volume of the cylinder will be V=923. if you add those two together the overall volume is 1,278.

8 0
3 years ago
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