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3 years ago

Write five different numeric expression for the number 24

Mathematics

2 answers:

weeeeeb [17]3 years ago

8 0

1. 6 times 4 = 24
2. 8 times 3 = 24
3. 2 times 12 =24
4. 15+9= 24
5. 34-10=24

omeli [17]3 years ago

8 0

6*4 =24
48/2=24
54-30=24
10+14=24

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C(x)=x^2+6x+14 find vertex form

nalin [4]

Answer:

c(x)=(x+3)^2+5

Step-by-step explanation:

To complete the square, the same value needs to be added to both sides.

So, to complete the square x^2+6x+9=(x+3)^2 add 9 to the expression

C(x) =x^2 +6x + 9 + 14

Since 9 was added to the right-hand side also add 9 to the left-hand side

C(x) +9= x^2 +6x + 9 + 14

Using a^2 + 2ab + b^2=(a+b)^2, factor the expression

C(x)+9= (x+3)^2 +14

Move constant to the right-hand side and change its sign

C(x)=(x+3)^2 +14 - 9

Subtract the numbers

C(x)= (x+3)^2 +5

6 0

3 years ago

The radius is 6 and the height is 15 what is the volume in terms of pi the shape is a cone

Alenkinab [10]

Answer:

565.49 or if rounded to the nearest tenth, 565.5

Explanation:

The formula for finding the volume of a cone is V=1/3Bh

B = pi times the radius squared

h = height

Substitute 6 for r and 15 for h.

V= 1/3· $\pi$ ·( $6^{2}$ )·15

Multiply.

V= 565.49 or 565.5 rounded to the nearest tenth.

4 0

2 years ago

M is the incenter of triangle ABC. Find the lengths of MD and DC. (Look at pic)

Deffense [45]

Answer:

Part 1) $MD=9\ units$

Part 2) $DC=12\ units$

Step-by-step explanation:

Step 1

Find the length of MD

we know that

The incenter is the intersection of the angle bisectors of the three vertices of the triangle. Is the point forming the origin of a circle inscribed inside the triangle

In this problem

$MD=ME=MF$ ------> is the radius of a circle inscribed inside the triangle

we have that

$MF=9\ units$

therefore

$ME=9\ units$

$MD=9\ units$

Step 2

Find the length of DC

we know that

In the right triangle MDC

Applying the Pythagoras theorem

$MC^{2} =MD^{2}+DC^{2}$

we have

$MD=9\ units$

$MC=15\ units$

substitute

$15^{2} =9^{2}+DC^{2}$

$DC^{2}=225-81$

$DC=\sqrt{144}\ units$

$DC=12\ units$

6 0

3 years ago

Uptown Country Club only admits members with annual incomes in the top 2.5% of the United States. If the annual individual incom

Verdich [7]

Answer:

$74,600

Step-by-step explanation:

-Given the probability is 2.5%, mean=$55,000 and standard deviation= $10,000

-We find the z value of 2.5%

$p=P(z>\frac{X-\mu}{\sigma})\\\\1.96=P(z$

Hence, the minimum amount of income to be in the top 2.5% is $74,600

5 0

3 years ago

Write the equation for the line that goes through the point (5, 12) with a slope m = 10

Iteru [2.4K]

Answer:

<u>Point-slope form</u>: y - 12 = 10 (x - 5)

<u>Slope-Intercept form</u>: y= 10x - 38

Step-by-step explanation:

im not fully sure which equation ur looking for but i think thats right lol. hopefully this helps ! :)

3 0

2 years ago