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zhenek [66]
4 years ago
12

What integer is equivalent to 25^3/2

Mathematics
2 answers:
natka813 [3]4 years ago
6 0
The answer is 125.  Hope this helps you. 
Ierofanga [76]4 years ago
4 0

Answer:

125.

Step-by-step explanation:

We are asked to find the integer equivalent to 25^{\frac{3}{2}}.

We can rewrite 25 as 5^2.

(5^2)^{\frac{3}{2}}

Using exponent property (a^{b})^c=a^{b\times c}, we will get:

(5^2)^{\frac{3}{2}}=5^{2^\times\frac{3}{2}}

(5^2)^{\frac{3}{2}}=5^{3}

(5^2)^{\frac{3}{2}}=125

Therefore, 125 is equivalent to our given number.

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EFGD is a parallelogram. Find x.
Ann [662]

Answer:

x = 11

BD = 10

Step-by-step explanation:

Solving for x

The opposite sides if a parallelogram are equal and parallel.

Hence,

2x - 5 = 17

Collecting like terms:

2x = 17 + 5

2x = 22

x = 11

If E is a midpoint, then BE equals to DE

Since BE = 5, then

BD = 2 * BE

BD = 10

4 0
3 years ago
Is 10/40 7/21 13/26 or 3/18 equivalent to 5/15
Kisachek [45]

Answer:

7/21 is equivalent to 5/15

Step-by-step explanation:

6 0
3 years ago
Write the point-slope form of the equation of the line that passes through the points (6, 6) and (-6, 1). Include your work in y
Sati [7]

The slope of the lines passing through given points is  \frac{5}{12}.

Step-by-step explanation:

Given,

The given two points are (6,6) and (-6,1).

To find the slope of the line passing through the points.

Formula

The slope of the line passing through (x_{1} ,y_{1}) and (x_{2} ,y_{2})  is \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

Now,

Putting, x_{1}=6, y_{1}=6, x_{2}=-6, y_{2}= 1 we get,

Slope = \frac{1-6}{-6-6} = \frac{-5}{-12} = \frac{5}{12}

Hence,

The slope of the lines passing through given points is  \frac{5}{12}.

4 0
3 years ago
Please help me with these two questions, 10 points for each so in total 20!!
saul85 [17]

Answer:

\large\boxed{Q2.\qquad C.\ -2x+y=-2}\\\boxed{Q4.\qquad C.\ y=3x+12}

Step-by-step explanation:

Q2:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (4, 6) and (6, 10). Substitute:

m=\dfrac{10-6}{6-4}=\dfrac{4}{2}=2

y-6=2(x-4)           <em>use distributive property</em>

y-6=2x-8      <em>add 6 to both sides</em>

y=2x-2          <em>subteact 2 from both sides</em>

-2x+y=-2

Q4:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

Put the slope m = 3 and the coordinateso f the point (-2, 6) to the point-slope form of an equation of a line:

y-6=3(x-(-2))

y-6=3(x+2)         <em>use distributive property</em>

y-6=3x+6     <em>add 6 to both sides</em>

y=3x+12

4 0
3 years ago
Reflect the point (-7, -9) across the x-axis: Then
V125BC [204]

Step-by-step explanation:

Reflecting across the x axis will result in a sign change for. the y component, therefore (-7,-9) becomes (-7,9)

Reflecting across the y axis will result in a sign change for the x component, therefore (-7,-9) becomes (7,-9)

8 0
3 years ago
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