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2 years ago

Write the equation in slope-intercept form of the line that passes through

Mathematics

1 answer:

Ksenya-84 [330]2 years ago

5 0

Answer:

m = (6-4)/(-1-5) or - 1/3

Step-by-step explanation:

m = (6-4)/(-1-5)

- 1/3

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The function h(t)=−16t2+7t+63 represents the height of a t-shirt launched from a t-shirt cannon after t seconds. a. Write an equ

Fittoniya [83]

Answer:

$(a)\ -16t^2 + 7t + 63=0$

$(b)\ t = 2.215$

Step-by-step explanation:

Given

$h(t) = -16t^2 + 7t + 63$

Solving (a): Equation when it hits the ground.

This means that $h(t) = 0$

So, we have:

$h(t) = -16t^2 + 7t + 63$

$-16t^2 + 7t + 63=0$

Solving (b): The value of t in (a)

$-16t^2 + 7t + 63=0$

Using quadratic formula, we have:

$t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

This gives:

$t = \frac{-7 \± \sqrt{7^2 - 4*-16*63}}{2*-16}$

$t = \frac{-7 \± \sqrt{49+ 4032}}{2*-16}$

$t = \frac{-7 \± \sqrt{4081}}{-32}$

$t = \frac{-7 \± 63.88}{-32}$

Split

$t = \frac{-7 + 63.88}{-32}; or\ t = \frac{-7 - 63.88}{-32}$

$t = \frac{56.88}{-32}; or\ t = \frac{-70.88}{-32}$

$t = -1.7775; or\ t = 2.215$

Time can't be negative; So:

$t = 2.215$

7 0

2 years ago

Alana walks east 4/9 mile to school every morning. On saturday, she walked to a friend's house, which is 1/3 mile farther east f

frutty [35]

Answer:

4/27

Step-by-step explanation:

You just add 4/9 + 1/3 = 4/27 and I believe there is no way to simplify.

5 0

2 years ago

Equation practice with angle addition hlp

IgorC [24]

Answer:

∠AOB = 139°

Step-by-step explanation:

The 2 angles form a straight angle and sum to 180°, that is

∠AOB + ∠BOC = 180 ← substitute values

8x + 51 + 6x - 25 = 180, that is

14x + 26 = 180 ( subtract 26 from both sides )

14x = 154 ( divide both sides by 14 )

x = 11

Hence

∠AOB = 8x + 51 = (8 × 11) + 51 = 88 + 51 = 139°

3 0

3 years ago

Read 2 more answers

Cos(x)= 40/41 and x lies in Q4. Find sin(x)

notka56 [123]

Step-by-step explanation:

$\sin(x) = \sqrt{1 - {cos}^{2}x }$

$\sin(x ) = \sqrt{1 - { (\frac{40}{41} )}^{2} }$

$\sin(x) = \sqrt{ \frac{1681 - 1600}{1681} } = \sqrt{ \frac{81}{1681} }$

sin(x)=±9/41

As x lies in Quadrant 4 , sin(x) = -9/41

4 0

3 years ago

Read 2 more answers

How is a tilted rhombus an obtuse angle

AlexFokin [52]

Answer:

Step-by-step explanation:

One of the properties of a rhombus is that the opposite angles are equal. As a rhombus leans over more and more, two of the angles become more obtuse and the other two become more acute.. There are also 4 pairs of parallel lines in a rhombus.

4 0

2 years ago