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creativ13 [48]
3 years ago
11

Which expression is equivalent to the given expression? Assume the denominator does not equal zero.

Mathematics
1 answer:
Fudgin [204]3 years ago
4 0

Answer:

4{J^{9} } {K^{14} }

Step-by-step explanation:

  • \frac{8}{2}  \frac{J^{4} }{J^{5} } \frac{K^{8} }{K^{6} }
  • \frac{8}{2} = 4
  • \frac{J^{4} }{J^{5} } = J^{4+5} =J^{9}
  • \frac{K^{8} }{K^{6} } = K^{8+6} = K^{14}
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what is the equation of the line that is perpendicular to 5x+6y=16 and passes through the point (-5,7)?
Lapatulllka [165]

Answer:

y=6/5x+13

Step-by-step explanation:

6y=-5x+16

Divide by 6

y=-5/6x + 8/3

Slope: 6/5 (opposite reciprocal)

7=-5(6/5)+b

7=-6+b

b=13

6 0
3 years ago
Which is larger 3/5 or .41
kotegsom [21]
3/5 because it is 0.6 which is bigger than .41
4 0
3 years ago
Read 2 more answers
A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder t
konstantin123 [22]

Answer:

The top of the ladder is now at 10 ft.

Step-by-step explanation:

At the start, we have a height H=6, a length L=10 and a base B, that has to be calculated by the Pythagorean theorem:

B^2=L^2-H^2=10^2-6^2=100-36=64\\\\B=\sqrt{64}=8

The base is moved twice the distance the height moves up.

We called this distance x, so we have:

L^2=(H+x)^2+(B-2x)^2=H^2+2Hx+x^2+B^2-4Bx+4x^2\\\\L^2=(H^2+B^2)+5x^2+(2H-4B)x\\\\L^2=L^2+5x^2+(2H-4B)x\\\\0=5x^2+(2H-4B)x\\\\5x+(2H-4B)=0\\\\x=\dfrac{4B-2H}{5}=\dfrac{4*8-2*6}{5}=\dfrac{32-12}{5}=\dfrac{20}{5}=4

The new height (H+x) is

H'=H+x=6+4=10

The base travels 2x=8, so the new base B' is 0.

This means that the ladder is all against the wall (L=H').

6 0
3 years ago
Plz help its due tonight!!!!
Natalka [10]

Answer:

Domain is (infinity, infinity) so it would hit every single number of x. The range which is y would be greater than or equal to -3. Range starts at -3 and hits every number above that.

8 0
3 years ago
Is the answer true or false?
stira [4]

Answer:

The answer to your question is False

Step-by-step explanation:

Original division

                       \frac{3x^{3}+ 5x^{2}- 11}{2x + 1}

Process

1.- To express a division in a synthetic form we must take the coefficients of the numerator. If there is no coefficient for a variable, we write it as 0.

          3x³ + 5x² - 11 =         3    5   0   - 11

The "0" means 0x, this term is not present but we must consider it.

2.- Solve the denominator for x

                 2x + 1 = 0

                 2x = -1

                   x = -1/2

3.- Write the synthetic division

                           -1/2      3    5   0   -11  

4 0
3 years ago
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