MATHEMATICS HIGH SCHOOL

If B is the midpoint of AC, and AC = 8x-20, find BC.

Answers

Answer 1

Answer:

Step-by-step explanation:

B is the midpoint of AC, where all 3 points are on the same line.

This means that AB = BC and AB + BC = AC, which is equals to 8x - 20.

Hence, BC = 0.5(8x + 20) = 4x + 10.

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How do you solve? Show your work.
-14 - 6x = x + 7

Answers

Answer:

−

-6x-14=x+7

−6x−14=x+7

−

Add the numbers

again

−

Subtract

from both sides of the equation

−

-6x=x+21

−6x=x+21

−

Simplify

Combine like terms

again

−

1 the answer is=3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

-14-6x=x+7

-14-6x+14=x+7+14

-6x=x+21

-6x-x=x+21-x

-7x=21

\frac{-7x}{-7}=\frac{21}{-7}

x=-3

Select the term that best describes the statement.If a polygon has eight sides, then it is an octagon.

conjunction
disjunction
negation
conditional

Answers

Answer:

The term that best describes the given statement is given by the last option i.e.

Conditional .

Step-by-step explanation:

We are given a statement:

If a polygon has eight sides, then it is an octagon.

We know that a conditional statement which is also known as the if-then statement is a statement where one part of it is a given condition or hypothesis and the second statement is a conclusion of the first statement.

It could also be symbolized as:

If p then q

where p is the hypothesis and q is the conclusion.

Hence, the term that describes this given statement is:

Conditional.

conditional
if the polygon has 6 sides then it is a hexagon, is an example of condition sencece so the correct answer is conditional.

Solve the Equation 70 = -7(-2 - 2z)
z = 4
z = -28
z = -112
z = 784

Answers

70 = -7 (-2 - 2z)

First, divide both sides by -7. / Your problem should look like: $(70)/(-7)$ = -2 - 2z
Second, simplify $(70)/(-7)$ to $- (70)/(7)$ / Your problem should look like: $-(70)/(7)$ = -2 - 2z
Third, simplify $(70)/(7)$ to get 10. / Your problem should look like: -10 = -2 - 2z
Fourth, add 2 to both sides. / Your problem should look like: -10 + 2 = -2z
Fifth, simplify -10 + 2 to get -8. / Your problem should look like: -8 = -2z
Sixth, divide both sides by -2. / Your problem should look like: $(-8)/(-2)$ = z
Seventh, simplify $(-8)/(-2)$ to $(8)/(2)$ / Your problem should look like: $(8)/(2)$ = z
Eighth, simplify $(8)/(2)$ to get 4. / Your problem should look like: 4 = z
Ninth, switch your problem around. / Your problem should look like: z = 4

Answer: z = 4

The solution of expression is,

⇒ z = 4

We have to give that,

An expression to solve is,

⇒ 70 = - 7 (- 2 - 2z)

Now, Simplify the expression as,

⇒ 70 = - 7 (- 2 - 2z)

Divide both sides by 7,

⇒ 70/ 7 = - 7 (- 2 - 2z)/7

⇒ 10 = - 1 (- 2 - 2z)

Apply distributive property,

⇒ 10 = 2 + 2z

Subtract 2 on both sides,

⇒ 10 - 2 = 2z

⇒ 2z = 8

Divide on both sides by 2,

⇒ z = 8/2

⇒ z = 4

Therefore, The solution is,

⇒ z = 4

To learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

Why can't you factor 2cosx^2+sinx-1=0 ?

Answers

$2cos^2x+sinx-1=0\n\n2(1-sin^2x)+sinx-1=0\n\n2-2sin^2x+sinx-1=0\n\n-2sin^2x+sinx+1=0\n\n-2sin^2x+2sinx-sinx+1=0\n\n-2sinx(sinx-1)-1(sinx-1)=0\n\n(sinx-1)(-2sinx-1)=0\iff sinx-1=0\ or\ -2sinx-1=0\n\nsinx=1\ or\ -2sinx=1\n\nsinx=1\ or\ sinx=-(1)/(2)\n\nx=(\pi)/(2)+2k\pi\ or\ x=-(\pi)/(6)+2k\pi\ or\ x=(7\pi)/(6)+2k\pi\ where\ k\in\mathbb{Z}$

$2cosx^2+sinx-1=2(1-sin^2x)+snx-1=\n\n=2(1-sinx)(1+sinx)-(1-sinx)=(1-sinx)[2(1+sinx)-1]=\n\n=(1-sinx)(2+2sinx-1)=(1-sinx)(1+2sinx)\n\n2cosx^2+sinx-1=0\ \ \ \Leftrightarrow\ \ \ (1-sinx)(1+2sinx)=0\n\n1-sinx=0\ \ \ \ \ or\ \ \ \ \ 1+2sinx=0\n\n1)\ \ \ 1-sinx=0\ \ \ \Rightarrow\ \ \ sinx=1\ \ \ \Rightarrow\ \ \ x= ( \pi )/(2) +2k \pi ,\ \ \ k\in I\n\n$

$2)\ \ \ 1+2sinx=0\ \ \ \ \ \ \Rightarrow\ \ \ sinx=- (1)/(2)\n\n \Rightarrow\ \ \ x_1=( \pi + ( \pi )/(6) )+2k \pi ,\ \ \ \ \ \ x_2=( - ( \pi )/(6) )+2k \pi,\ \ \ \ \ \ k\in I\n\n.\ \ \ \ \ \ x_1=(7 \pi )/(6) +2k \pi ,\ \ \ \ \ \ \ \ \ \ \ \ x_2=-( \pi )/(6) +2k \pi,\ \ \ \ \ \ \ \ \ k\in I\n\nAns.\ x=-( \pi )/(6) +2k \pi\ \ \ or\ \ \ x= ( \pi )/(2) +2k \pi\ \ \ or\ \ \ x=(7 \pi )/(6) +2k \pi,\ \ \ k\in I$

What is 0.11625 written as a percent?

Answers

Answer:

11.625 %

Step-by-step explanation:

to convert the given number into percentage we need to multiply the given number to 100 to get the required percentage

0.11625 × 100 = 11.625 %

hence, the required percentage will be equal to 11.625 %.

Any fraction number can also be converted into percentage by just multiplying it by 100.

To convert that number into percent we should multiply that number with 100 or move the decimal place to right at two points.
0.11625 *100 =11.625 %
If it helped please mark as the brainliest answer. Hope it helped you.

One forklift sells every 4 hours on eBay . If a forklift sells for 2,999 and the seller receive a 12% commission. How much does the seller receives for the sale

Answers

359.88

The commission is 12% of 2, 999

12% = $(12)/(100)$ = 0.12

commission = 0.12 × 2, 999 = 359.88

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