Express X^2-8x+5 in the for (x-a)^2-b where a and b are integers

Answers

Answer 1

Answer:

Answer:

$x {}^(2) - 8x + 5 \n = x {}^(2) - 8 x+ 5 + 11 - 11 \n = x {}^(2) - 8x +16 - 11 \n = (x - 4) {}^(2) - 11 \n$

A is 4 and b is 11

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Suppose the surface area of a sphere is 324π square units. What is the volume, in cubic units, of this sphereA) 9π
B) 81π
C) 324π
D) 972π

Answers

Answer:

Option D is correct

$972 \pi$ is the volume, in cubic units, of this sphere

Step-by-step explanation:

Surface area of sphere(S) and volume of sphere (V) is given by:

$S = 4 \pi r^2$

$V = (4)/(3) \pi r^3$ .....[1]

As per the statement:

Suppose the surface area of a sphere is 324π square units

⇒S = 324π square units

then;

$324 \pi = 4 \pi r^2$

Divide both side by $4 \pi$ we have;

$81 = r^2$

$r^2= 81$

⇒ $r = √(81) = 9$ units

We have to find the volume, in cubic units, of this sphere.

Substitute the given value in [1] we have;

$V = (4)/(3) \pi \cdot 9^3 = (4)/(3) \pi \cdot 729$

Simplify:

$V = 4 \cdot \pi \cdot 243 = 972 \pi$ cubic units

Therefore, $972 \pi$ is the volume, in cubic units, of this sphere

D would be the answer

Solve the equation 3(x+2)=5x-2

Answers

      3(x + 2) = 5x - 2
3(x) + 3(2) = 5x - 2
      3x + 6 = 5x - 2
   - 3x    - 3x
      6 = 2x - 2
   + 2 + 2
      8 = 2x
      2    2
      4 = x

$3(x+2)=5x-2\n3x+6=5x-2\n5x-3x=6+2\n2x=8\nx=4$

Let h = 3.

What is the value of (27 ÷ h) · 5?

Answers

27 ÷ 3 = 9
9 • 5 = 45

the answer would be 45 because 27/3=9 and 9*5=45

What is the cross section created when a vertical slice is made perpendicular to the 2 bases of a triangular prism?A.
a triangle

B.
ellipse trapezoid

C.
a square

D.
a rectangle

Answers

Imagine slicing a triangular prism, perpendicular to the two bases.
You would basically just be lopping off some congruent triangle from each base.
The now-exposed inside of the prism would be a rectangle.

What is another way to write 4 hundreds?

Answers

There is 3 form that mostly used in math: standard form, expanded form and word form. In this question, 4 hundred would be word form. So, to write 4 hundred in a different form the answer would be:

Standard form: 400
Expanded form : 4x100

The box plots below show the average daily temperatures in July and August for a U.S. city: two box plots shown. The top one is labeled July. Minimum at 80, Q1 at 88, median at 96, Q3 at 103, maximum at 105. The bottom box plot is labeled August. Minimum at 80, Q1 at 82, median at 84, Q3 at 90, maximum at 100 What can you tell about the means for these two months?

Answers

The correct answer is:

The mean for July is smaller than the median; and

the mean for August is larger than the median.

Explanation:

A distribution with a positive skew would have a longer whisker in the positive direction than in the negative direction. A larger mean than median would also indicate a positive skew.

Alternatively, a distribution with a negative skew would have a longer whisker in the negative direction than in the positive direction. A smaller mean than median would also indicate a negative skew.

The whisker in the negative direction for July is longer than the whisker in the positive direction. This indicates a negative skew.

The whisker in the positive direction for August is longer than the whisker in the negative direction. This indicates a positive skew.

Answer:

its b

Step-by-step explanation:

i just got it right!!!!

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