Isiah determined that 5a2 is the GCF of the polynomiala3 – 25a2b5 – 35b4. Is he correct? Explain.

Answers

Answer 1

Answer: ok, easy way is that we divide each term by the GCF and if it doesn't divide evenly, then it is not valid

first one
5a^2 divide by a^3
we see that we cannot since the power is higher and there is no 5 so it is not the GCF

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What percent of 96 is 26?

Solve with steps for this questions

Answers

Answer:

see explanation

Step-by-step explanation:

given

g(x) = 3x² - 5 then g(t) = 3t² - 5

Also g(t) = - $(7)/(2)$ t, hence

3t² - 5 = - $(7)/(2)$ t

multiply both sides by 2 to eliminate the fraction

6t² - 10 = - 7t ( add 7t to both sides )

6t² + 7t - 10 = 0 ← in standard form

(t + 2)(6t - 5) = 0 ← in factored form

Equate each factor to zero and solve for t

t + 2 = 0 ⇒ t = - 2

6t - 5 = 0 ⇒ t = $(5)/(6)$

7/2t. That’s my answer but sorry I didn’t work it out

Cindy made a triangular shaped sculpture with an area of 63 square inches. The height of the sculpture is 9 inches. What is the base length of the sculpture?

Answers

area=base times height times 1/2
63=area
9=height
63=bsae times 9 times 1/2
multiply both sides by 2 to get rid of 1/2
126=base times 9
divide both sides by 9
14=base

base legnth=14 inches

the base is 14 because 14× 9 = 126 and 126÷2 =63

In New York a crowed subway has 375 passengers distributed between 5 cars. What is the unit rate for each subway car?

Answers

Answer:

The unit rate is 75/1.

Step-by-step explanation:

To figure out this problem you have to divide.

375 divided by 5 is equal to 75.

Therefore the unit rate is 75/1.

Hope this helps and have a great day!!!

:)

Study the following statement:“Two intersecting lines cannot beperpendicular to the same line”. Check whether it is an equivalent version to
the Euclid’s fifth postulate.

Answers

Euclid's fifth postulate states that 'given any two lines and a transversal, if the angles on the same side of the transversal are less than 180 degrees they will meet on that side of the transversal'. The statement given here is that two intersecting lines cannot be perpendicular to the same line, i.e., parallel. This statement is stating that the co-interior angles of intersecting lines cannot be 90 degrees in measure, and it is almost equivalent to Euclid postulate 5.

Sarita showed the steps to solving the equation. 5 (x minus 3) + 7 (x + 4) = 73 Steps Sarita’s Solution Sarita’s Verification 1 5 x minus 15 + 7 x + 28 = 73 5 (5 minus 3) + 7 (5 + 4) = 73. 5 (negative 2) + 7 (9) = 73. Negative 10 + 63 = 73. 53 not-equal-to 73. 2 (5 + 7) x + (negative 15 + 28) = 73 3 12 x + 13 = 73 4 12 x + 60 5 x = 5 When Sarita tried to verify her answer, she found it was wrong. Which explains her mistake? Sarita’s solution is correct. She made an error in her verification. Sarita was supposed to add the 5 and 7 in the first step. Sarita added +13 instead of Negative 13 in the fourth step. Sarita was supposed to use the division property of equality in the third step.