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2 years ago

5(2x)to the third power

1 answer:

5 0

(5(2x))^3
Use the property of exponents:
(5^3)*(2x)^3
Simplify the exponents:
125*8*x^3
Simplify the numbers and multiply the integers:
1000*x^3

Hope this helps :)

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if a staircase rises 52° from the ground and a vertical distance of 12 yards. How much horizontal distance does the staircase co

3241004551 [841]

The horizontal distance will be found using the formula:
tan θ= opposite/adjacent
given that θ=52°
opposite= 12 yards
adjacent=x
hence
tan 52=12/x
x=12/tan 52
x=9.3754
the height is 9.375 yards

3 0

2 years ago

Solve for a. 3a/2<24 1)a=16 2)a>16 3)a<16 4)a>-16

Nady [450]

Answer:

a < 16

Step-by-step explanation:

4 0

1 year ago

Read 2 more answers

The vertices of a triangle are p(3,7) Q(7,-6) R(-8,7). Name the vertices of the image reflected across the x axis

pantera1 [17]

Answer:

P'(3,-7) Q'(7,6) R'(-8,-7).

Step-by-step explanation:

Reflection across the x-axis

Given a point P(x,y), its reflection across the x-axis will map to point P'(x,-y), i.e., the y-coordinate gets inverted.

We are given the vertices of a triangle P(3,7) Q(7,-6) R(-8,7). The vertices of the image reflected across the x-axis are:

P'(3,-7) Q'(7,6) R'(-8,-7).

The new triangle has vertices P'Q'R'.

6 0

2 years ago

When does the value of f(x) = (1/2)x equal the value of g(x) =2x+8 ?

Zanzabum

Answer:

$\huge\boxed{f=g(x)\ \text{for}\ x=-\dfrac{16}{3}=-5\dfrac{1}{3}}$

Step-by-step explanation:

When does the value of f(x) = (1/2)x equal the value of g(x) =2x+8?

$f(x)=g(x)\iff\dfrac{1}{2}x=2x+8\qquad|\text{subtract}\ 2x\ \text{from bpoth sides}\\\\\dfrac{1}{2}x-2x=2x-2x+8\\\\-1\dfrac{1}{2}x=8\qquad|\text{convert the mixed number to the improper fraction}\\\\-\dfrac{2\cdot1+1}{2}x=8\\\\-\dfrac{3}{2}x=8\qquad\text{multiply both sides by}\ -\dfrac{2}{3}\\\\\left(-\dfrac{2\!\!\!\!\diagup}{3\!\!\!\!\diagup}\right)\left(-\dfrac{3\!\!\!\!\diagup}{2\!\!\!\!\diagup}x\right)=\left(-\dfrac{2}{3}\right)\cdot8\\\\x=-\dfrac{2\cdot8}{3}\\\\x=-\dfrac{16}{3}$

8 0

3 years ago

F(3) =-2x^2+9x+5 calculate the following

ElenaW [278]

Answer:

Step-by-step explanation:

2(3)^2+9(3)+5

2(9)+27+5

18+27+5

=50

8 0

3 years ago