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tigry1 [53]
3 years ago
15

At what value of x do the graphs of the equations below intersect?

Mathematics
2 answers:
finlep [7]3 years ago
8 0
The intersection is the point where two equations meet. It is calculated by substituting terms into the equations involved. For the given systems of equation, calculations are as follows:

2x - y = 6
y = 2x - 6

We substitute the equation above to the second equation.

<span>5x + 10y = –10
</span>5x + 10(<span> 2x - 6</span> )= –10

Simplifying, 

5x + 20x - 60 = -10
25x = 50
x = 2

Therefore, the intersection has the value of x equal to 2.
Rashid [163]3 years ago
3 0

c (2) is the value in where the equations intersect

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aivan3 [116]

Answer: 8 1/2 is less than 9 1/2, 8 1/2< 9 1/2

7 0
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In the Pi Corporation, 4/5 of the managers are female. If there are 64 female managers, how many managers in total are there? Ho
oksano4ka [1.4K]

Step-by-step explanation:

\frac{4}{5}  = 64 \\  \frac{1}{5}  = 64 \div 4 \\ \:  \:  \:  \:  \:  \:   = 16 \\ total \: managers \:  = 16 \times 5 \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: = 80 \\ number \: of \: male \:  \: managers \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  =  \frac{5}{5}  -  \frac{4}{5}  \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  =  \frac{1}{5}  = 16

<em>hop</em><em>e</em><em> </em><em>t</em><em>h</em><em>i</em><em>s</em><em> </em><em>helps</em><em> </em><em>you</em><em>.</em>

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3 years ago
I NEEEED HELP!!! please show work in answer and no blank or nonsense answers please :)
rodikova [14]

Answer:

225 pi = pi r^2 h

225 = r^2*h

225/1 = r^2

sqrt. (225) = r

r = 15

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3 years ago
What is the simple way of solving quadratic equation ​
aleksandrvk [35]

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3 years ago
In the figure, triangle CAE is an enlargement of triangle CBD with scale factor of 4/3. The area of the smaller triangle is 9cm2
balandron [24]

Answer:

16 cm^2

Step-by-step explanation:

Given

\triangle CAE -- Bigger Triangle

\triangle CBD -- Smaller Triangle

k = \frac{4}{3} --- Scale factor

Area of CBD = 9

Required

Determine the area of CAE

The area of triangle CBD is:

A_1 = \frac{1}{2}bh

\frac{1}{2}bh = 9

The area of CAE is:

A_2 = \frac{1}{2}BH

Where:

B = \frac{4}{3}b and

H = \frac{4}{3}h

The above values is the dimension of the larger triangle (after dilation).

So, we have:

A_2 = \frac{1}{2}*\frac{4}{3}b * \frac{4}{3} * h

A_2 = \frac{1}{2}*\frac{4}{3} * \frac{4}{3} *b* h

A_2 = \frac{1}{2}*\frac{16}{9}  *b* h

Re-order

A_2 = \frac{16}{9}*\frac{1}{2}* b* h

A_2 = \frac{16}{9}*\frac{1}{2}bh

Recall that:

\frac{1}{2}bh = 9

A_2 = \frac{16}{9}*9

A_2 = 16

Hence, the area is 16 cm^2

3 0
3 years ago
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