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3 years ago

Solve the equation -[8x-(19x+1)]=1+(10x+7)

Mathematics

1 answer:

Olegator [25]3 years ago

5 0

Answer:

x=7

Step-by-step explanation:

Let's solve your equation step-by-step.

−(8x−(19x+1))=1+10x+7

Step 1: Simplify both sides of the equation.

−(8x−(19x+1))=1+10x+7

11x+1=1+10x+7(Distribute)

11x+1=(10x)+(1+7)(Combine Like Terms)

11x+1=10x+8

Step 2: Subtract 10x from both sides.

11x+1−10x=10x+8−10x

x+1=8

Step 3: Subtract 1 from both sides.

x+1−1=8−1

x=7

Answer:

x=7

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2) Line segment MK has endpoints at (2, 3) and (5, ?4). Segment M'K' is the reflection of MK over the y-axis. Which statement de

Marianna [84]

Answer:

Option C -M'K' is the same length as MK

Step-by-step explanation:

Given : Line segment MK has endpoints at (2, 3) and (5,4)

M'K' is the reflection of MK over the y-axis

By definition of reflection: reflection of point (x,y) across the the y-axis is the point (-x,y)

which implies M'K' has end points (-2,3) and (-5,4)

Now, we find the length of MK

let $(x_1,y_1)=(2,3)\\\\(x_2,y_2)=(5,4)$

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

⇒ $d=\sqrt{(2-5)^2+(4-3)^2}$

⇒ $d=\sqrt{9+1}$

⇒ $d=\sqrt{10}$ ....(1)

Now, we find the length of M'K'

let $(x_1^{'},y_1^{'})=(-2,3)\\\\(x_2^{'},y_2^{'})=(-5,4)$

$d^{'}=\sqrt{(x_2^{'}-x_1^{'})^2+(y_2^{'}-y_1^{'})^2}$

⇒ $d^{'}=\sqrt{(-2+5)^2+(3-4)^2}$

⇒ $d^{'}=\sqrt{9+1}$

⇒ $d^{'}=\sqrt{10}$ .....(2)

from (1) and (2) we simply show that the length of MK and M'K' is equal

we can also refer the figure attached for reflection of MK and M'K'

therefore, Option C is correct

3 0

4 years ago

Read 2 more answers

Joseph has 24 cousins he has 6 more females than males how many females does he have?

Brums [2.3K]

Given that Joseph has 24 cousins, and he has 6 more females than males, the number of females will be obtained as follows;
suppose he had x males, number of females will be x+6.
The total will be:
x+(x+6)=24
x+x+6=24
2x+6=24
2x=24-6
2x=18
x=18/2
x=9
thus the number of male cousins is 9, the number of female cousins will be 9+6=15
We therefore conclude that he has 9 male cousins and 15 female cousins

6 0

3 years ago

What is 1/3 + 1/2?.......

Virty [35]

Answer:

5/6

Step-by-step explanation:

1/3 + 1/2 = 5/6

3 0

3 years ago

Read 2 more answers

Three less than x is

pantera1 [17]

Answer:

x - 3

Step-by-step explanation:

3 0

2 years ago

Answers for both boxes please

sleet_krkn [62]

Answer:

x = -5 y = -3

Step-by-step explanation:

-3x + 2y = 9

multiply the 2nd equation by 3 to set it up for elimination

3(x - 3y)= 3(4)

3x-9y = 12

so now combine both to add

-3x + 2y = 9

3x - 9y = 12

Adding both gives you

-7y = 21

divide both by -7 and you get

y = -3

and you substitute y back into equation to get x

x - 3 (-3) = 4 gives you

x + 9 = 4

x = 4 - 9

x = -5

7 0

3 years ago

Solve the equation -[8x-(19x+1)]=1+(10x+7)​

Solve the equation -[8x-(19x+1)]=1+(10x+7)