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3 years ago

If D is the midpoint of the segment

Mathematics

1 answer:

erastova [34]3 years ago

8 0

______________________________________

A D C B

AC=3

AD = 1.5 since D is the midpoint

DC = 1.5

C is the midpoint DB then DC=CB

since DC=1.5 then CB=1.5

AB=AD + DC+CB

AB = 1.5 + 1.5+1.5

AB = 4.5cm

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How many terms are in the expression 4x -4 +3y?

horrorfan [7]

Answer:

three (3)

Step-by-step explanation:

4x is the first term

-4 is the second term

3y is the third term

7 0

3 years ago

The population of Weston is 4320. The town’s records show that 45 percent of the population are males, and 2 3 23 of these males

lbvjy [14]

Answer:

In Weston 1,296 males are married

Step-by-step explanation:

step 1

Find out the number of males

Multiply the total population by 45%

$45\%=45/100=0.45$

$4,320(0.45)=1,944\ males$

step 2

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3 years ago

To evaluate 43/2 find A) the square of 4 and then take the cube root. B) the cube of 4 and then take the square root. C) the squ

tatiyna

Answer:

B) the cube of 4 and then take the square root

Step-by-step explanation:

43/2 = 21.5

___

The answer choices suggest you want ...

4^(3/2) . . . . . . . appropriate math symbols are very helpful

This can be evaluated several ways:

$4^{\frac{3}{2}}=\sqrt{4^3}=(\sqrt{4})^3=10^{\frac{3}{2}\log{4}}\\\\=8$

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Since the 3 is in the numerator of the fraction, it represents a cube, not a cube root. Any of the answer choices suggesting cube root is involved are incorrect. (Eliminating those leaves only the correct answer choice.)

4 0

3 years ago

1 Point The circle below is centered at (-3, 2) and has a radius of 3. What is its equation?

arlik [135]

Answer:

(x + 3)^2 + (y - 2)^2 = 9

Step-by-step explanation:

Equation for a circle: (x – h)^2 + (y – k)^2 = r^2

Step 1: Determine what h, k, and r are

h is the x value of the point: -3

k is the y value of the point: 2

r is the radius of the circle: 3

Step 2: Plug in and solve

(x – h)^2 + (y – k)^2 = r^2

(x – (-3))^2 + (y – (2))^2 = (3)^2

(x + 3)^2 + (y - 2)^2 = 9

Answer: (x + 3)^2 + (y - 2)^2 = 9

8 0

4 years ago

Five times the sum of a number and 27 is greater than or equal to six times the sum of that num

stepladder [879]

Question:

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26.

What is the solution set of this problem?

Answer:

$x \leq -21$

Step-by-step explanation:

Given

Represent the number with x

So:

$5 * (x + 27) \geq 6 * (x + 26)$

Required

Determine the solution set

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Open Both Brackets

$5 * x + 5 * 27 \geq 6 *x + 6 * 26$

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Multiply both sides by -1

$x \leq -21$

Hence, the solution set is $x \leq -21$

7 0

3 years ago