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Liula [17]
3 years ago
6

A polyhedron with one pentagonal base is a

Mathematics
1 answer:
alekssr [168]3 years ago
3 0
I think it is an apex
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Right triangle ABC is located at A (−1, −2), B (−1, 1), and C (−5, 1) on a coordinate plane. What is the equation of a circle A
Zigmanuir [339]

Find the length of the line from A to C, which would be the radius using the distance formula:

Distance = √(-5 +1)^2 + 1+2)^2)

Distance = √(4^2 + 3^2)

Distance = √25

Distance = 5

The equation of a circle is written as (x-h)^2 + (y-k)^2 = r^2, where h and k is the center point X and y values and r is the radius.

The center of the circle is located at A ( -1,-2) and the radius is 5.

Replace h, k and r with those values:

(x - (-1))^2 + (y- (-2))^2 = 5^2

Simplify to get:

(x+1)^2 + (y+2)^2 = 25

7 0
3 years ago
Daniels tennis racket is the same length as 21- foot rulers How many inches long is Daniels racket?
vlabodo [156]

Answer:

21

Step-by-step explanation:

5 0
3 years ago
-5.55 - 8.55c+ 4.35c
solniwko [45]

Answer:

-4.20c-5.55

Step-by-step explanation:

add -8.55c and 4.35c to simplify

4 0
3 years ago
Read 2 more answers
Which of the following is equivalent to (1/2)^-2t
Zepler [3.9K]

Answer:

Choice (3) \left(2^2\right)^t is correct.

Step-by-step explanation:


Given expression is \left(\frac{1}{2}\right)^{-2t}

Now we need to simplify this and check which of the given choices best match with it.

\left(\frac{1}{2}\right)^{-2t}

=\left(\frac{1}{2^1}\right)^{-2t}

=\left(2^{-1}\right)^{-2t} {using formula =\frac{1}{x^m}=x^{-m}}

=\left(2^{-1}\right)^{-2t} {using formula =\left(x^m\right)^n=x^{\left(m\cdot n\right)}}

=2^{\left(-1\right)\left(-2t\right)}

=2^{2t}

=\left(2^2\right)^t {using formula =\left(x^m\right)^n=x^{\left(m\cdot n\right)}}

Hence choice (3) \left(2^2\right)^t is correct.

8 0
3 years ago
Read 2 more answers
Find the X intercept and the Y intercept of the graph of the equation. 9/8x+8y=18
aleksandr82 [10.1K]

Answer:

\large\boxed{x-intercept=16\to(16,\ 0)}\\\boxed{y-intercept=\dfrac{9}{4}\to\left(0,\ \dfrac{9}{4}\right)}

Step-by-step explanation:

\dfrac{9}{8}x+8y=18\\\\x-intercept\ \text{is for}\ y=0:\\\\\dfrac{9}{8}x+8(0)=18\\\\\dfrac{9}{8}x+0=18\\\\\dfrac{9}{8}x=18\qquad\text{multiply both sides by}\ \dfrac{8}{9}\\\\\dfrac{8\!\!\!\!\diagup^1}{9\!\!\!\!\diagup_1}\cdot\dfrac{9\!\!\!\!\diagup^1}{8\!\!\!\!\diagup_1}x=\dfrac{8}{9\!\!\!\!\diagup_1}\cdot18\!\!\!\!\!\diagup^2\\\\x=16\\\\y-intercept\ \text{is for}\ x=0:\\\\\dfrac{9}{8}(0)+8y=18\\\\0+8y=18\\\\8y=18\qquad\text{divide both sides by 8}\\\\y=\dfrac{18}{8}\\\\y=\dfrac{9}{4}

8 0
3 years ago
Read 2 more answers
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