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ratelena [41]
3 years ago
15

What is 4X + 1/2(4X +6)=12

Mathematics
2 answers:
beks73 [17]3 years ago
7 0

Answer:

x = 3/2

Step-by-step explanation:

4X + 1/2(4X +6)=12

Distribute

4x+2x+3 = 12

6x +3 = 12

Subtract 3 from each side

6x+3-3 = 12 -3

6x = 9

Divide each side by 6

6x/6 = 9/6

x = 3/2

atroni [7]3 years ago
7 0

Answer:

x = 3/2

Step-by-step explanation:

4x + 2x + 3 = 12   ← distribute the 1/2 to both numbers in the parentheses

6x + 3 = 12  ← subtract 3 on both sides

6x = 9   ←  divide by 6 on both sides

x = 3/2

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vlabodo [156]

Perimeter is adding the 3 sides together. Since both triangles have the same perimeter set both triangles to equal:


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

Simplify each side:

3x+9 = 4x

Subtract 3x from each side:

x=9



5 0
4 years ago
"Find the point at which the line touches the circle" I really need help no one helped last time...
Troyanec [42]
The solution for a system of equations will be when the graphs touch each other, or intersect, and that happens when both equations equate each other, so, let's do so,

\bf \begin{cases}
\boxed{y}=3x+10\\
-------\\
x^2+y^2=10\\
y^2=10-x^2\\
y=\sqrt{10-x^2}
\end{cases}\qquad \qquad \boxed{3x+10}=\sqrt{10-x^2}
\\\\\\
\textit{now we square both sides}\qquad (3x+10)^2=(\sqrt{10-x^2})^2
\\\\\\
(3x+10)^2=10-x^2\implies 9x^2+60x+100=10-x^2
\\\\\\
10x^2+60x-90=0\implies x^2+6x-9=0\implies (x+3)(x+3)=0
\\\\\\
x=
\begin{cases}
-3\\
-3
\end{cases}\qquad thus\qquad \boxed{x=-3}

\bf -------------------------------\\\\
\textit{now, when x = -3, what is \underline{y}?}\qquad y=3x+10\implies y=3(-3)+10
\\\\\\
y=-9+10\implies \boxed{y=1}\qquad \qquad therefore\qquad (\stackrel{x}{-3}~,~\stackrel{y}{1})
6 0
3 years ago
a city depatment uses an average of 25 10cent,35 15 cent and 350 20 cent postage stamps each day.the total cost of stamps used b
postnew [5]
Answer =$388.75

25x.10= $2.50, 35x.15=$5.25, 350x.20=$70
$2.50+5.25+70=$77.75x5 days=$388.75
6 0
3 years ago
Graph the line that passes through the points (6,-4) and (3,-6) and determine
antoniya [11.8K]

Answer:

y = \frac23x - 8

Step-by-step explanation:

Hello!

First, let's plot the points and draw a straight line through them (image).

Remember that a coordinate is given in the format of (x,y).

<h3 /><h3>Parts of a Line</h3>

Equation format: y = mx + b

  • m = slope
  • b = y-intercept

The slope is how the graph changes in y as it does in x. Given our two points, the graph rises 2 units and runs 3. That means that the slope is \frac23.

  • y = \frac23x + b

The y-intercept is the intersection of the graph and the y-axis. The intersection takes place at y = -8, so the y-intercept is -8.

  • y = \frac23x - 8

The equation is y = \frac23x - 8.

5 0
1 year ago
If 2 is a zero of the polynomial px = 2x² - 3x + 7a find the value of a​
fredd [130]

Answer:

x = 2 \\ f(2) = >  2( {2})^{2}  - 3(2) + 7a = 0 \\ 2 + 7a = 0 \\ 7a =  - 2 \\ a =  -  \frac{2}{7}

3 0
3 years ago
Read 2 more answers
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