9. What are the coordinates of the vertices of the polygon in the graph that are in Quadrant 117

Solve for x: 4x - 8 = 7x - 2 Anyone know the answer for this one? Thanks!

erastovalidia [21]

Answer:

$\huge{ \fbox{ \tt{x = - 2}}}$

Step-by-step explanation:

$\underline{ \underline{ \mathfrak{Let's \: solve}}} :$

$\star{ \sf{ \: \: 4x - 8 = 7x - 2}}$

$\text{Step \: 1} : \sf{Move \: 7x \: to \: left \: hand \: side \: and \: change \: its \: sign}$

$\mapsto{ \sf{4x - 7x - 8 = - 2}}$

$\text{Step \: 2} : \sf{Move \: 8 \: to \: right \: hand \: side \: and \: change \: its \: sign}$

$\mapsto{ \sf{4x - 7x = - 2 + 8}}$

$\text{Step \: 3} : \sf{Collect \: like \: terms}$

$\sf{Like \: terms \: are \: those \: which \: have \: same \: base}$

$\mapsto{ \sf{ - 3x = - 2 + 8}}$

$\text{Step \: 4} : \sf{Calculate}$

$\underline{ \text{Remember!}} : \sf{The \: negative \: and \: positive \: integers \: are \: always \: subtracted \: but \: posses \: the \: sign \: of \: the \: bigger \: integer.}$

$\mapsto{ \sf{ - 3x = 6}}$

$\text{Step \: 4} : \sf{Divide \: both \: sides \: by \: - 3}$

$\mapsto{ \sf{ \frac{ - 3x}{ - 3} = \frac{6}{ - 3}}}$

$\text{ Step \: 4} : \sf{Calculate}$

$\mapsto{ \sf{x = - 2}}$

Hope I helped!

Best regards! :D

~ $\sf{TheAnimeGirl}$

3 0

3 years ago

Help answer all these pls if so u get brainlyest PLS HURRY

kumpel [21]

Need more than 5 points for all that wth

6 0

3 years ago

Read 2 more answers

If the area of the rectangle below is 126 square meters, find the value of x.

amid [387]

Answer:

x = 5

Step-by-step explanation:

The area (A) o a rectangle is calculated as

A = lb ( l is length and b the breadth ), thus

x² + x - 12 × $\frac{x+9}{x-3}$ = 126 ← factor the quadratic

(x + 4)(x - 3) × $\frac{x+9}{x-3}$ = 126 ← cancel the common factor (x - 3)

(x + 4)(x + 9) = 126 ← expand factors using FOIL

x² + 13x + 36 = 126 ( subtract 126 from both sides )

x² + 13x - 90 = 0 ← in standard form

(x + 18)(x - 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 18 = 0 ⇒ x = - 18

x - 5 = 0 ⇒ x = 5

However x > 0 ⇒ x = 5

5 0

4 years ago

Which Value From The Number Set 1,3,5,7 Makes The Inequality X+5>10 True

Ne4ueva [31]

Put all number choices in for x. 1+5=6, 3+5=8, 5+5=10, 7+5=12. The equation says that the answer has to be greater than ten. 6 and 8 are less than ten, and ten is equal to ten, so the only answer is 7, because 7+5=12 :)

6 0

3 years ago

After each soccer practice Scott Runs 4 sprints of 10 yards each complete exclamation to find how many practices it will take fo

Tpy6a [65]

Answer:

Scott will have to do 44 practices

Step-by-step explanation:

Let X be the number of yards per practice.

Let P = number of practice Scott needs to do.

Multiply 20 yards by 4 sprints

X = 20yards × 4 sprints = 80 yards

Number of yards he had to sprint per practice will be:

1 mile = 1760 yards

Converting from miles to yards

X = 1760 × 2 miles = 3520 yards

Number of practice,P Scott need to do = (3520/80)yards

Number of Practice,P = 44

5 0

4 years ago

Read 2 more answers