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Marysya12 [62]
3 years ago
8

10 + 2(7 - 9x) = 5(2x - 12)Full steps as well please

Mathematics
2 answers:
stepladder [879]3 years ago
6 0

Answer:

x = 3

Step-by-step explanation:

Do multiplication for the parenthesis terms, then add and subtract accordingly.

blagie [28]3 years ago
3 0

Answer:

x = 3

Step-by-step explanation:

10 + 2(7 - 9x) = 5(2x - 12)

10 + 14 - 18x = 10x - 60

24 - 18x = 10x - 60

+60                 +60

-------------------------------------

84 - 18x = 10x

     +18x    +18x

-------------------------------------

84 = 28x

/28    /28

--------------------------------------

3 = x

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kogti [31]

Answer:

Step-by-step explanation:

The Answer Would Be 20 3/4

6 0
3 years ago
What is the HCF of 4 and 9? Please explain.​
kakasveta [241]
<h3>HCF of 4 and 9 is 1</h3>

  • HCF of 4 and 9 is the largest possible number that divides 4 and 9 exactly without any remainder. The factors of 4 and 9 are 1, 2, 4 and 1, 3, 9 respectively.

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So , the HCF of 4 and 9 is 1

8 0
3 years ago
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AnnZ [28]

Answer:

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3 0
3 years ago
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A man is trying to calculate the shadow of a 24 flag pole. He uses similar triangles by comparing his own height 5 ft to the len
Pie

Answer:

The answer to your question is 12 ft

Step-by-step explanation:

Data

Height of the flag pole = 24

shadow of the flag pole = x

height of the man = 5 ft

shadow of the man = 2.5 ft

Process

1.- Use the Thales' theorem to solve this problem

shadow of the flag pole/height of the flag pole = shadow of the man/height

                                                                                                 of the man

- Substitution

                     x/24 = 2.5/5

- Solve for x

                    x = 2.5(24)/5

- Simplification

                    x = 60/5

-Result

                   x = 12 ft

8 0
3 years ago
Graph the functions on the same coordinate axis. {f(x)=−2x+1g(x)=x2−2x−3
NikAS [45]

Answer:

(2,-3) and (-2,5)

Step-by-step explanation:

Let us graph the two equations one by one.

1. f(x)=-2x+1

If we compare this equation with the slope intercept form of a line which is given as

y=mx+c

we see that m = -1 and c =1

Hence the slope of the line is -2 and the y intercept is 1. Hence one point through which it is passing is (0,1) .

Let us find another point by putting x = 1 and solving it for y

y=-2(1)+1

y=-2+1 = -1

Let us find another point by putting x = 2 and solving it for y

y=-2(2)+1

y=-4+1 = -3

Hence the another point will be (2,-3)

Let us find another point by putting x = -2 and solving it for y

y=-2(-2)+1

y=+1 = 5

Hence the another point will be (-2,5)

Now we have two points (0,1) ,(1,-1) ,  (2,-3) and (-2,5) we joint them on line to obtain our line  

2.

g(x)=y=x^2-2x-3

y=x^2-2x+1-1-3

y=(x-1)^2-4

(y+4)=(x-1)^2

It represents the parabola opening upward with vertices (1,-4)

Let us mark few coordinates so that we may graph the parabola.

i) x=0 ; y=y=(0)^2-2(0)-3=0-0-3=-3 ; (0,-3)

ii)x=-1 ; y=(-1)^2-2(-1)-3=1+2-3=0 ; (-1,0)

iii) x=2 ; y=(2)^2-2(2)-3 = 4-4-3 =-3 ;(2,-3)

iii) x=1 ; y=(1)^2-2(1)-3 = 1-2-3 =-4  ;(1,-4)

iii) x=-2 ; y=(-2)^2-2(-2)-3 = 4+4-3 =5  ;(-2,5)

Now we plot them on coordinate axis and line them to form our parabola

When we plot them we see that we have two coordinates (2,-3) and (-2,5) are common , on which our graphs are intersecting. These coordinates are solution to the two graphs.

3 0
4 years ago
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