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Sergeu [11.5K]
3 years ago
12

A system of equations is shown below:

Mathematics
1 answer:
gtnhenbr [62]3 years ago
8 0
Y = 8x - 2
y = 9x - 7

  8x - 2 = 9x - 7
- 8x       - 8x
        -2 = x - 7
      + 7      + 7
         5 = x

y = 8x -2
y = 8(5) - 2
y = 40 - 2
y = 38
(x, y) = (5, 38)

The answer is C.
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The Saxena family plans to install a light to illuminate part of their rectangular yard. Nikki and Dylan each proposed a differe
monitta

Options:

a. Nikki's proposed placement will light a greater area than Dylan's placement.

b.  Dylan's proposed placement will light a greater area than Nikki's placement.

c.  Both proposed placements will light the same sized area.

d. Nikki's proposed placement will light more than half the yard.

e. Dylan's proposed placement will light more than half the yard.

f.  Dylan's proposed placement will light exactly half of the yard.

g. Nikki's proposed placement will light less than half of the yard.

Answer:

C) Both proposed placements will light the same sized area.

F) Dylan's proposed placement will light exactly half of the yard.

Step-by-step explanation:

The area of a triangle is (base x height) / 2, and both lights illuminate the same base and height = (60 x 38) / 2 = 1,140 sq ft

Both Dylan's and Nikki's proposed placement will lit exactly half of the yard. The yard's total area = 60 x 38 = 2,280 sq ft, which is twice the area lit by the lights.

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2 years ago
Help me with this question please
irinina [24]

Answer:

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Step-by-step explanation:

5 0
3 years ago
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In a certain animal species, the probability that a female will have 0, 1, 2, 3, or 4 offspring in a given year is 0.31, 0.21, 0
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Answer:

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Step-by-step explanation:

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8 0
2 years ago
You just obtained a credit card. You immediately purchase a digital camera for $160. Your credit limit is $4000. Let’s assume th
frutty [35]
Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
Below are the choices:

a.0.0142 
<span>b.1.0142 </span>
<span>c.14.2 </span>
<span>d.1.42
</span>
Every month your balance includes the original amount (100%) and the added the monthly interest (1.42%). So each month the balance will be 101.42% of the prior month's balance. Move the decimal point two places to the left to make that into a decimal. 

<span>Answer: </span>
<span>b. 1.0142</span>

6 0
2 years ago
X + 3y = −4 x + 5y = −6
lesya [120]

For this case we must solve the following system of equations:

x + 3y = -4\\x + 5y = -6

We clear x of both equations:

x = -4-3y\\x = -6-5y

We match:

-4-3y = -6-5y\\-3y + 5y = -6 + 4\\2y = -2\\y = \frac {-2} {2}\\y = -1

We find the value of "x":

x = -4-3 (-1)\\x = -4 + 3\\x = -1

Thus, the solution of the system is:

(x, y): (- 1, -1)

Answer:

(x, y): (- 1, -1)

5 0
2 years ago
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