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3 years ago

12

Solve for x, then find the measures of each angle.

1 answer:

mr_godi [17]3 years ago

6 0

X is 13, p is 126, Q is 30, r is 24

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A right triangle has leg lengths of 10 cm and 12 cm. Which of the following is an acute angle in that right triangle?

makkiz [27]

Answer:

a + b + c= 90

30+30+30=90

90=90.

30 is the ans

3 0

2 years ago

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The function f(x)=5(2)^x was replaced with f(x)+k , resulting in the function graphed below. what is the value of k?

xxTIMURxx [149]

Since adding a constant to a function simply moved the graph upwards by that amount, solve f(x) for any value and see how much the graph given is different from that value of y...the simplest way in this case may be to simply find f(0) which is:

5*2^0=5

Clearly the graph at x=0 is at y=-2 so we can see that k is:

5+k=-2 so

k=-7

5 0

3 years ago

Find the equation of a parabola with a vertical axis and its vertex at the origin and passing through the point (-2, 3).

jonny [76]

Answer:

$y=\frac{3}{4}x^2$

Step-by-step explanation:

Hi there!

Because we're given the vertex of the parabola, we can determine its equation in vertex form:

$y=a(x-h)^2+k$ where the vertex is $(h,k)$

Plug in the vertex (0,0)

$y=a(x-0)^2+0\\y=a(x)^2\\y=a(x-0)^2+0\\y=ax^2$

Now, we must solve for a. Plug in the given point (-2,3) and solve for a:

$3=a(-2)^2\\3=4a\\\frac{3}{4} =a$

Therefore, the value of a is $\frac{3}{4}$ . Plug this back into $y=ax^2$ :

$y=\frac{3}{4}x^2$

I hope this helps!

5 0

2 years ago

Write the first five terms of the sequence defined by the explicit formula an=-4n(n-1)

vladimir2022 [97]

The explicit formula of the sequence is given by a_n = -4n(n-1).

We have to find the first five terms of the sequence.

The first term:

$\begin{gathered} a_1=-4\times(1)(1-1) \\ =-4(0) \\ =0 \end{gathered}$

The second term:

$\begin{gathered} a_2=-4(2)(2-1) \\ =-8(1) \\ =-8 \end{gathered}$

The third sum:

$\begin{gathered} a_3=-4(3)(3-1) \\ =-12(2) \\ =-24 \end{gathered}$

The fourth term:

$\begin{gathered} a_4=-4(4)(4-1) \\ =-16(3) \\ =-48 \end{gathered}$

The fifth term:

$\begin{gathered} a_5=-4(5)(5-1) \\ =-20(4) \\ =-80 \end{gathered}$

Thus, option D is correct.

7 0

6 months ago

The park is 4 miles from the pet shop how far is the mall from the pet shop

Andrew [12]

Do you have any more information there really is no other way to solve it with out more information

5 0

3 years ago

Read 2 more answers