MATHEMATICS HIGH SCHOOL

Simplify the polynomial

4a+5(a-1)

Answers

Answer 1
Answer: 4a + 5(a-1)
4a + 5a - 5
9a - 5

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A sphere with a diameter of 16mm has the same surface area as the total surface area of a right cylinder with the base diameter equal to the sphere diameter. How high is the cylinder?A. 16 mm
B. 8 mm
C. 18 mm
D. 14 mm

Answers

R_(sphere)= (1)/(2) *16=8[mm]\n A_(sphere)=4 \pi R^(2)\n A_(cylinder)=2 \pi R(R+h)\n\n 4\pi R^(2)=2 \pi R(r+h)\n (4\pi R^(2))/(2 \pi R) =r+h\n h= (4\pi R^(2))/(2 \pi R)-R=2R-R=R\n R=8[mm]

So the answer is B. 8 mm

Answer:

8 mm

Step-by-step explanation:

Two lines, A and B, are represented by the following equations: Line A: 2x + 2y = 8
Line B: x + y = 3

Which statement is true about the solution to the set of equations?

It is (1, 2).
There are infinitely many solutions.
It is (2, 2).
There is no solution.

Answers

Line A: 2x+2y=8     ⇒2y=-2x+8  ⇒ y=-x+4
Line B: x+y=3          ⇒y=-x+3

Therefore: y=y then:
-x+4=-x+3
-x+x=3-4
0≠-1    ⇒There is no solution because the lines are parallels

Answer: There is no solution

Answer:

D. There is no soltution sorry this answer is reallyyyy late :(

Step-by-step explanation:

What fraction is equivalent to 11/24?

Answers

You can find equivalent fractions by multiplying both the numerator and the denominator by the same number.  An equivalent fraction to 11/24 could be 22/48.  Or 33/72, etc.

Final answer:

To find an equivalent fraction to 11/24, divide both the numerator and denominator by a common factor.

Explanation:

To find the fraction that is equivalent to 11/24, we need to find an equivalent fraction with a numerator and denominator that have a common factor with 11 and 24.

11 and 24 have a common factor of 1. So, if we divide both the numerator and denominator of 11/24 by 1, we get the equivalent fraction 11/24.

Learn more about Equivalent fractions here:

brainly.com/question/18040047

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Kathryn ran 14 miles more than Heather last week. Kathryn ran 21.1 miles. How many miles did Heather run?

Answers

If Kathryn ran 21.1 miles and she ran 14 more miles more than heather then you just add 14 and 21.1

What is the simplest square root of 1345? no decimals please

Answers

37 is the answer because if you round 36.6742 up you get 37
The square root of 1345 is 36.4 but if you would round it off its 37 in short its between 36-37

Which function's graph has a y-intercept of 2? A. f(x) = 3x + 2 B. f(x) = 0.5(2)* + 1.5 C. f(x) = 0.5(2)* + 1 O D. f(x) = 1.5(2)​

Answers

d because it goes together
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