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sergey [27]
3 years ago
5

In triangle RST, BK is the mid segment between sides RS and RT. If ST is 18 units, how long is BK?

Mathematics
1 answer:
Allushta [10]3 years ago
3 0

Answer:

BK=9

Step-by-step explanation:

A midsegment is one half of the length of the base. So, If the base, which is ST is 18, the midsegment will be 18/2=9

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M2 -5m - 24 pls answer my questions<br>​
Gwar [14]

Answer:

(m+3) (m-8)

Step-by-step explanation:

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7 0
3 years ago
Simplify the expression: 7 - 7(5 + x) - 9x <br> Your answer
Gekata [30.6K]

Answer:

-16x-28

Step-by-step explanation:

Break it into little pieces; start with distributing the -7:

-7(5+x)

-35-7x

Now add the rest of the problem: 7-35-7x-9x

Combine like terms: 7-35               7x-9x

7-35=-28             7x-9x=-16x

Rearrange so the coefficient and variable are upfront, giving you:

-16x-28

5 0
3 years ago
A new car is purchased for 19700 dollars. The value of the car depreciates at
Usimov [2.4K]

Answer:

Step-by-step explanation:

We can plug this into a formula and get

5,500 = 19,700(.9075)^{?}

the .9075 comes from 1 - the depreciation value of 9.25% which converts to .0925 in decimal form.

? is what we are trying to solve for.

We can divide both sides by 19,700 and we get

\frac{55}{197} = (0.9075)^?

so ? is about 13.

6 0
3 years ago
A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the
zlopas [31]
1. The function h(t)=-16t^{2}+48t is a parabola of the form ax^{2}+bx. The the formula for the axis of symmetry of a parabola is x= \frac{-b}{2a}. We can infer from our function that a=-16 and b=48, so lets replace those values in our formula:
x= \frac{-b}{2a}
x= \frac{-48}{-2(16)}
x= \frac{-48}{-32}
x= \frac{3}{2}
x=1.5
We can conclude that to the left of the line of symmetry the ball is reaching its maximum height, and to the right of the line of symmetry the ball is falling.

2. Lets check how much time the ball takes to reach its maximum height and return to the ground. To do that we are going to set the height equal to zero:
0=-16t^{2}+48t
-16t(t-3)=0
t=0 or t-3=0
t=0 or t=3
From our previous point we know that the ball reaches its maximum time at t=1.5, which means that <span>it takes 1.5 seconds to reach the maximum height and 1.5 seconds to fall back to the ground.</span>

7 0
3 years ago
Read 2 more answers
What is the domain of the function y=3 in x graphed below?
Jet001 [13]
What is the domain of the function y=3 in x graphed below?

Domain is x>0, ln (0) is undefined and there is no negative ln.
3 0
3 years ago
Read 2 more answers
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