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Wittaler [7]
2 years ago
11

Passes through (-5,-9) and has a slope of -17/5

Mathematics
1 answer:
Arturiano [62]2 years ago
6 0
Y - y1 = m ( x - x1)
y - (-9) = -17/5 ( x - (-5))
y + 9 = -17/5x - 17
y = -17/5x - 8
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Cathy has 16 meters of fencing to make a rectangular pen for some rabbits what dimensions will give the maximum area?
Travka [436]
The max occurs when length=width

so
perimiter=16
and L=W
P=2(L+W)
16=2(L+L)
16=2(2L)
16=4L
4=L

the dimentions are length and width are 4 meters
aera will be 16 square meters
6 0
2 years ago
Find an odd number with 3 digits such that all the digits are different and add up to 15. The difference between the first two d
Serjik [45]

Answer:

The three digit number = 951

Step-by-step explanation:

Let suppose the numbers are:

= abc

According to given condition:

a+ b + c = 15  -------------eq1

Also, given the difference between the first two digit = the difference between the last two digits:  

==> l a-b l = l b-cl  

==> (a-b) = (b-c)  

==> (a+c) = 2b

Now we will substitue in eq1

==> a+ b + c = 15

==> 2b + b = 15

==> 3b = 15

Dividing both sides by 3 we get:

b =5

a + c = 2b

a+ c = 10

a = 10 -c ..........(2)

We know that"  

(a-b) = (b-c)

==> a > b+c

==> a > 5 + c

==> 10 -c > 5 +c  

==>5 > 2c

==> 2.5 > c

As c is an odd number so c will be equal to 1

c = 1

a = 10 -1

a = 9

The three digit number = 951

The hundred digit is greater than the sum of the tens and ones digits

i hope it will help you!

6 0
3 years ago
The basketball game at the high school started at 7:30 P.M. and ended at
jekas [21]

Answer:

3 hours 8 minutes

Step-by-step explanation:

5 0
2 years ago
What is the value of log(x exponent 2 y exponent 3 divided by z) when given the following:
Gekata [30.6K]

Answer:

B. 13

Explanation:

\sf\:Given\:expression: log(\dfrac{x^2 y^3}{z} )

Logarithm rules:

\sf (i)  \ \sf log(ab) = log(a) + log(b)\\ \\ (ii) \  log(a/b) = log(a) - log(b)\\\\ (iii) \ log(a^n) = n log(a)

Breakdown of the expression:

\rightarrow \sf log\left(\dfrac{x^2y^3}{z}\right)

\rightarrow \sf log\left(x^2\right) + log\left(y^3\right) - log(z)

\rightarrow \sf 2\log\left(x\right)+3\log \left(y\right)-\log \left(z\right)

insert given values

\rightarrow \sf 2(3)+3(2)-(-1)

\rightarrow \sf 13

7 0
2 years ago
Results of a poll stated that 40% of U.S. adults identify as Republican, and you want to test the claim at alpha = 0.05. What le
Nookie1986 [14]

Answer:

The confidence level is 95% or 0.95.

Step-by-step explanation:

Consider the provided information.

Results of a poll stated that 40% of U.S.

If you want to test the claim at alpha = 0.05.

As we know:

Confidence level = 1 - significance level (\alpha)

Confidence level = 1 - 0.05

Confidence level  = 0.95

Therefore, the confidence level is 95% or 0.95.

4 0
3 years ago
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