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charle [14.2K]
3 years ago
13

Solve the system of equations algebraically. Verify your answer using the graph.

Mathematics
2 answers:
nirvana33 [79]3 years ago
6 0
Both of those equations are solved for y.  So if the first one is equal to y and the second one is equal to y, then the transitive property says that the first one is equal to the second one.  We set them equal to each other and solve for x.  4x-5=-3 and 4x = 2.  That means that x = 1/2.  We were already told that y = -3, so the coordinates for the solution to that system are (1/2, -3), B from above.
KonstantinChe [14]3 years ago
5 0
Hello!

Since we already know the value of y we need to find x. We can plug in the y-value of -3 in the first equation and solve for x. 

-3=4x-5
2=4x
x=1/2

This gives us the ordered pair (1/2,-3), so our answer is B. (1/2, -3).
.
I hope this helps!

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Find the volume of the cone show below:
antiseptic1488 [7]
Formula for the volume not a cone=πr2H. π=3.14. R=12×2=24. H=16. 3.14×24=75.36. 75.36×16=1205.76. ANSWER: 1205.76
5 0
4 years ago
Choose the congruence theorem that you would use to prove the triangles congruent.
Elena L [17]

<u><em>Answer:</em></u>

SAS

<u><em>Explanation:</em></u>

<u>Before solving the problem, let's define each of the given theorems:</u>

<u>1- SSS (side-side-side):</u> This theorem is valid when the three sides of the first triangle are congruent to the corresponding three sides in the second triangle

<u>2- SAS (side-angle-side):</u> This theorem is valid when two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

<u>3- ASA (angle-side-angle):</u> This theorem is valid when two angles and the included side between them in the first triangle are congruent to the corresponding two angles and the included side between them in the second triangle

<u>4- AAS (angle-angle-side):</u> This theorem is valid when two angles and a side that is not included between them in the first triangle are congruent to the corresponding two angles and a side that is not included between them in the second triangle

<u>Now, let's check the given triangles:</u>

We can note that the two sides and the included angle between them in the first triangle are congruent to the corresponding two sides and the included angle between them in the second triangle

This means that the two triangles are congruent by <u>SAS</u> theorem

Hope this helps :)

5 0
3 years ago
Read 2 more answers
Automobile engineers wanted to check the effect of a new automatic transmission on mileage. They selected 50 cars of the same ma
daser333 [38]

Answer:

d. Twenty-five cars are randomly selected with the new transmission and 25 with the old transmission.

Step-by-step explanation:

A hypothesis test on the difference between the means must satisfy the following conditions

1) the samples must be randomly selected

2) each sample must have a known standard deviation

3) the samples must be independent

4) the samples must be from normal distribution

Hence only part d gives the right answer.

3 0
2 years ago
The difference of the range and the interquartile range of the data set represented by the box plot is .
Ivahew [28]
When presented with a box plot, it is better to identify the 5 numbers that are important in the box plot.

5 number summary of the boxplot.
1) minimum number - 16
2) 1st quartile - 21
3) 2nd quartile or median - 26
4) 3rd quartile - 29
5) maximum number - 34

Range is the difference of the maximum value from the minimum value of the data set.
Interquartile range is the difference of the 3rd quartile from the 1st quartile.

Range: 34 - 16 = 18
IQR: 29 - 21 = 7


6 0
3 years ago
Read 2 more answers
Which fractions are greater than -5/16 ?
AlladinOne [14]
-5/16 

Our choices:-

A.-3/8
 
 
 B.-11/12
 
 
 C.-1/4
 
 
<span> D.-1/8
</span>
Let us get all of them with a LCD

-1*2 = -2
8*2 = 16

-2/16 is not bigger than -5/16

-11/12 is bigger than -5/16 because half of 16 is 8.

-1*4 = -4
4*4= 16

-4/16 is not bigger than -5/16

-1/8 is smaller than -5/16

Final answer: -11/12 is the only fraction bigger than -5/16

3 0
3 years ago
Read 2 more answers
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