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user100 [1]
2 years ago
7

How many solutions will the following system of linear equations have? –2x + 4y = –7 y= -1/2x + 5 A. 0 B. 1 C. 2 D. infinite

Mathematics
2 answers:
FinnZ [79.3K]2 years ago
7 0

Answer:

B. 1

Step-by-step explanation:

they only cross at one point... look below

dsp732 years ago
6 0

ANSWER

B. 1

EXPLANATION

The given system of equations is;

–2x + 4y = –7

y= -1/2x + 5

We rewrite the first equation is slope intercept form:

4y = 2x–7

y =  \frac{1}{2}x  -  \frac{7}{4}

The two equations have different slopes.

This means that they will intersect at one point in the XY plane.

Hence the system has a unique solution.

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Ricky has 3/4 of a bag of Skittles. He wants to split the rest between between his 5 friends. What fraction of the bag will each
Wittaler [7]

Answer:

  • 3/20, with the assumptions below.

Explanation:

The question seems incomplete.

In order to show you the procedure, I make some assumptions.

Assuming that Ricky wants to split the full content of the 3/4 of a bag between his 5 friends, to find what fraction of the bag will each friend receive you must divide 3/4 by 5.

The operation is:

        \dfrac{3}{4}\div 5

Convert the whole number 5 into fraction using 1 as denominator:

       \dfrac{3}{4}\div \dfrac{5}{1}

Transform the division into multiplication changing the divisor into its reciprocal:

       \dfrac{3}{4}\times \dfrac{1}{5}

Multiply numerator with numerator and denominator with denominator:

       \dfrac{3\times 1}{4\times 5}=\dfrac{3}{20}\leftarrow answer

7 0
3 years ago
A rectangle has a a perimeter of 72 ft. The length and width are scaled by a factor 3.5.
jarptica [38.1K]
Formula for perimeter of rectangle:
P=2(L+w)
P=2L+2w
Here Perimeter, p= 72 ft
And scale factor of length and width=3.5 which means rectangle is enlarged.
So perimeter of rectangle= 3.5 x 72
P=252ft 

Answer: 252 ft

8 0
3 years ago
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Please help!!! ABCD is a square with diagonals intersecting at E. What is the length of BE
Snezhnost [94]

Answer:

BE = 4\sqrt2

Step-by-step explanation:

Given

The attached square

Required

Find BE

First, we calculate BD (the diagonal) using Pythagoras theorem.

BD^2 = BA^2 + AD^2

Since the shape is a square, then

BA = AD = 8

So:

BD^2 = 8^2 + 8^2

BD^2 = 2(8^2)

Take square roots

BD = \sqrt{2(8^2)

BD = \sqrt{2} * 8

BD = 8\sqrt{2}

BE is half BD.

So:

BE = \frac{1}{2} * BD

BE = \frac{1}{2} * 8\sqrt2

BE = 4\sqrt2

8 0
2 years ago
Are these triangles congruent?
Mice21 [21]

Answer:

1.D)SSS

2.C.)

Step-by-step explanation:

1. There isn't any angles and there is enough info to prove that the triangles are congruent.

2.There is not enough info to determine that the triangles are congruent.

4 0
3 years ago
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Anyone know 14!!!! ASAP
notsponge [240]
Word problem: Today the temperature dropped 13 °F. After this drop, the temperature was 74 °F. What was the original temperature outside before the drop?

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Solve: x - 13 = 74
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3 0
3 years ago
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