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ikadub [295]
3 years ago
5

What is the equation of the line??​

Mathematics
1 answer:
zepelin [54]3 years ago
7 0

Answer:

x = 3

Step-by-step explanation:

the line doesn't have a slope

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Solve for x: 4(x + 2) = 3(x − 2)<br><br>A) −2<br>B)−4<br>C) −10<br>D) −14
BARSIC [14]

4(x+2)=3(x-2)

Multiply the first bracket by 4

Multiply the second bracket by 3

4x+8=3x-6

Move 3x to the left hand side, whenever moving a number with a letter the sign changes ( positive 3x to negative 3x)

4x-3x+8=3x-3x-6

x+8=-6

Move positive 8 to the right hand side

x+8-8=-6-8

x=-14

Check answer by using substitution method

Use x=-14 into both of the equations

4(-14+2)=3(-14-2)

-56+8=-42-6

-48=-48

Answer is -14- D)

6 0
3 years ago
If h(x)=(x-2)^2, find h(x+1)
Softa [21]

Answer:

Step-by-step explanation:

h(x+1) = ( x + 1 - 2)²

= (x -1)²

8 0
3 years ago
Solving the linear equations variable on one side
Brums [2.3K]

The pick up fee is $2.50.

After each mile, $1.95 is added.

That is, after the first mile, we have;

\begin{gathered} \text{Fe}e=\text{ 2.50 + 1.95(1)} \\ \text{After the second mile, we have;} \\ Fee=\text{ 2.50+1.95(2)} \end{gathered}

Isaac total charge = $27.46;

Generally, let the number of miles driven by the taxi be x, then we have;

1.95x+2.50=27.46

Solving for the number of miles Isaac travelled, we have;

\begin{gathered} 1.95x=27.46-2.50 \\ 1.95x=24.96 \\ x=\frac{24.96}{1.95} \\ x=12.8\text{miles} \end{gathered}

CORRECT OPTION:

1.95x+2.50=27.46;\text{ Isaac traveled 12.8 miles.}

4 0
1 year ago
Find the equation of the line through (-9,6) that is perpendicular to the line through (7,8),
Setler [38]

Step-by-step explanation:

I assume as "equation" we mean the slope-intercept form :

y = ax + b

"a" is the slope of the line (y coordinate change / x coordinate change when going from one point to another on the line). b is the y-intercept (the y value when x = 0).

we get the slope by finding the perpendicular slope of the first line.

the slope of the first line when going from (-3, -9) to (7, 8) :

x changes by + 10 (from -3 to +7).

y changes by + 17 (from -9 to +8).

so, that slope is 17/10.

the perpendicular slope is turning the original slope upside-down and flips the sign :

-10/17

so, a = -10/17

now, as we have only the slope and a point of the new line, we can use the point-slope form to stay and then transfer into the slope-intercept form.

y - y1 = a(x - x1)

where "a" is again the slope, and (x1, y1) is a point on the line

y - -6 = -10/17 × (x - -9)

y + 6 = -10/17 × (x + 9) = -10/17 × x - 90/17

y = -10/17 × x - 90/17 - 6 =

= -10/17 × x - 90/17 - 102/17 =

= -10/17 × x - 192/17

so, the equation is (in a maybe nicer way)

y = -1/17 × (10x + 192)

7 0
1 year ago
For every 6 cups of flour in bread recipe there are 2 cups of milk
Aloiza [94]

Answer:

3

Step-by-step explanation:

3

7 0
3 years ago
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