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antoniya [11.8K]
2 years ago
7

(12) (13) Geometry Check Ans 12) x = 5 y = 2 13 x = 12 y = 13/3

Mathematics
1 answer:
brilliants [131]2 years ago
6 0
Problem 12)

You are correct. You solve the system
x+1 = 3y
3x-4 = 5y+1
for x and y to find that x = 5 and y = 2

As a check
x+1 = 3y
5+1 = 3*2
6 = 6 ... true equation
and
3x-4 = 5y+1
3*5-4 = 5*2+1
11 = 11 ... true equation
Both equations are true when (x,y) = (5,2) so the answer is confirmed

=======================================================

Problem 13)

Unfortunately the diagram is cut off so its impossible to say at the moment. Please repost this one. Thank you.
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Evaluate 4(a^2 + 2b) - 2b when a = 2 and b = –2.
Rama09 [41]

Answer:

4

Step-by-step explanation:

4(4-4)+4=4

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7 0
3 years ago
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What is the value of d to the nearest tenth?
Ghella [55]

Answer: d=13.8

Step-by-step explanation:

A line that cuts a circle at two points is called "secant".

There is a theorem known as "Intersecting Secant Theorem". This is the theorem you need to use to find the value of "d".

According the Intersecting Secant Theorem:

(14)(14+20)=(16)(16+d)\\(14)(34)=(16)(16+d)

Having this expression, the next step is to solve for "d":

Use Distributive property:

476=256+16d

Subtract 256 from both sides:

476-256=-256+256+16d

220=16d

Divide both sides by 16:

\frac{220}{16}=\frac{16d}{16}\\\\13.75=d

The value of "d" rounded to the nearest tenth is:

d=13.8

6 0
3 years ago
8.4.9 On or off the line & Practice Problems
Andrews [41]

Answer:

Number of quarters → 15

Number of dimes → 2

Step-by-step explanation:

Let the number of dimes I have = y

And number of quarters = x

Since, I have amount in my pocket = $2

Therefore, 0.10y + 0.25x = 2

100(0.10y + 0.25x) = 100×2

25x + 10y = 200

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2y = -5x + 40

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Total number of coins in my pocket = 17

x + y = 17

y = -x + 17 ---------(2)  

By using a graphing calculator we can graph these two lines (As attached)

Solution of the given system of equations will be the point of intersection of these lines.

Solution → (2, 15)

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4 0
3 years ago
Round each amount to the nearest hundred to find the estimate of 9635 - 4891
vovikov84 [41]

Answer:

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7 0
3 years ago
A sample of 10 adult elephants had an average weight of 12,556 pounds. The standard deviation
kirill [66]

Answer:

The 99% confidence interval of the population mean for the weights of adult elephants is between 12,475 pounds and 12,637 pounds.

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 3.25

The margin of error is:

M = T*s = 3.25*25 = 81

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The lower end of the interval is the sample mean subtracted by M. So it is 12,556 - 81 = 12,475 pounds

The upper end of the interval is the sample mean added to M. So it is 12,556 + 81 = 12,637 pounds.

The 99% confidence interval of the population mean for the weights of adult elephants is between 12,475 pounds and 12,637 pounds.

6 0
2 years ago
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