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2 years ago

62=−3k+7(k+6)+4 solve for k

Mathematics

1 answer:

guajiro [1.7K]2 years ago

7 0

Step-by-step explanation:

62= -3k + 7k + 42 + 4

62 - 42 - 4 = 4k

16 = 4k

4 = k

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Ignore the erase marks but i have no clue how to do this. please help asap

madam [21]

Since they're vertical angles, they're equal in degree measure

since they're equal, we can make the two expressions equal to each other

5a - 1 = 2a + 20
add 1 to both sides

5a = 2a + 21
subtract 2a from both sides

3a = 21
divide both sides by 3a

a = 7

now, plug the answer you found for a into one of the two expressions

5a - 1 becomes (5*7) - 1, which equals 34

to double check that they're equivalent (since they're vertical angles)

2a + 20 becomes (2*7) + 20, which equals 34

both angles are 34 degrees!

7 0

2 years ago

Help pleaseeee!!!!!!

coldgirl [10]

Answer:

18. 46

19. 0.7

22. 4 3/4

23. 54.5

26. 14

27. 11.5

31. 15

etc.

Step-by-step explanation:

absolute value means that the sign in front of the # doesn't matter, you just have to look at the positive value, for example:

absolute value of 46 = 46

absolute value of - 36 = 36

(imagine the sign in front of the # isn't there)

4 0

2 years ago

A pumpkin is launched from the top of a 20 foot tall platform at an initial velocity of 84 feet per second. The height, h, of th

Gennadij [26K]

<h2>Explanation:</h2>

In this problem we have a pumpkin is launched from the top of a 20 foot tall platform at an initial velocity of 84 feet per second. So the height, h, of the pumpkin at time t seconds after the launch can be modeled by the equation:

$h(t) = -16t^2 + 84t + 20$

So this is the equation of a parabola. The maximum of this parabola occurs at its vertex. So let's find this vertex:

$\text{The x-value of the vertex is}: \\ \\ t=-\frac{b}{2a} \\ \\ \\ Where: \\ \\ a=-16 \\ \\ b=84 \\ \\ c=20 \\ \\ \\ t=-\frac{84}{2(-16)} \\ \\ t=-\frac{84}{-32} \\ \\ t=\frac{21}{8}=2.625 \\ \\ h(2.625)=-16(2.625)^2+84(2.625)+20 \\ \\ h(2.625)=-110.25+220.5+20 \\ \\ h(2.625)=130.25m$

Finally, the maximum occurs at time 2.625 seconds when the height is 130.25m

8 0

2 years ago

A circle has a diameter of 18<br> feet. What is the area? Use 3.14<br> for pi

never [62]

Answer: 254.34

Step-by-step explanation:

3.14 • r^2

Radius = 9

9 • 9 = 81

81•3.14 = 254.34

4 0

2 years ago

8. You have 160 meters of fencing to enclose a rectangular pen for your dog. To provide sufficient running

kolbaska11 [484]

Perimeter is the sum of the length of the sides used to make the given figure. The length and the width of the rectangle are 60 meters and 20 meters, respectively.

<h3>What is the perimeter?</h3>

Perimeter is the sum of the length of the sides used to make the given figure.

Let the width of the rectangle be represented by x.

Given that the pen should be three times as long as it is width. Therefore, the dimensions of the rectangle can be written as,

Width of the rectangle = x

Length of the rectangle = 3x

Also, it is given that the perimeter of the rectangle should be equal to 160 meters, therefore, we can write,

Perimeter = 2(Length + Width)

160 = 2(3x + x)

160 = 2(4x)

160 = 8x

x = 160/8

x = 20 meters

Now, the dimensions of the rectangle can be written as,

Length = 3x = 3 × 20 meters = 60 meters

Width = x = 20 meters

Hence, the length and the width of the rectangle are 60 meters and 20 meters, respectively.

Learn more about perimeter here:

brainly.com/question/10466285

#SPJ1

7 0

9 months ago