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VikaD [51]
3 years ago
13

Please help! I will rank and thank! :)

Mathematics
1 answer:
Dafna1 [17]3 years ago
3 0
Parallel lines have the same slope.The equation of a line is y=mx+b
where m is the slope
so look at lines where m=2
 d is the correct answer
because y=2x-10 so m=2
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Ben needs 1 3/8 feet of fabric to make one banner. How many banners can he make from 4 1/2 yards of fabric?
skelet666 [1.2K]

Answer:

x = 9.818

x≈10

The number of banners that can be made are 10

Step-by-step explanation:

We can use the knowledge of proportion to solve this.

First we need to convert yard to feet.

  1  yard      = 3 foot

4 1/2 yard    = y

cross-multiply

y =  4 1/2  ×  3

    =9/2  ×   3

y = \frac{27}{2} feet

This implies 4 1/2 yards =  \frac{27}{2} feet

Let x be the numbers of banners needed to make from 4 1/2 yards of fabric.

1 3/8 feet  = 1 banner

\frac{27}{2}  feets    =    x

cross multiply

1 3/8 × x =  \frac{27}{2}

\frac{11x}{8}  =  \frac{27}{2}

cross-multiply

22x = 216

Divide both-side of the equation by 22

22x/22 = 216/22

x = 9.818

x≈10

The number of banners that can be made are 10

3 0
3 years ago
Simplify 5+2i/6+i
nlexa [21]

Given problem is \frac{(5+2i)}{(6+i)}

To simplify that we need to multiply and divide by conjugate of the denominator

conjugate of denominator 6+i will be 6-i as we just need to change sign of the imaginary part

Now multiply and divide by 6-i


=\frac{(5+2i)}{(6+i)}\cdot\frac{(6-i)}{(6-i)}

=\frac{30-5i+12i-2i^2}{36-6i+6i-i^2}

=\frac{30+7i-2i^2}{36-i^2}

=\frac{30+7i-2\left(-1\right)}{36-\left(-1\right)}

=\frac{30+7i+2}{36+1}

=\frac{32+7i}{37}

=\frac{32}{37}+\frac{7}{37}i

Hence final answer is \frac{32}{37}+\frac{7}{37}i

3 0
3 years ago
Danielle takes her dog to be groomed. The fee to groom the dog is $75.00
AysviL [449]

Answer:

no, it won't be enough because you would need $80.06

Step-by-step explanation:

I just found 6.75% of 75 and added it on

5 0
3 years ago
Pentagon ABCDE and pentagon A'B'C'D'E' are shown on the coordinate plane below: Pentagon ABCDE and pentagon A prime B prime C pr
Dima020 [189]

The <em><u>correct answer</u></em> is:

Translated according to the rule (x, y) →(x + 2, y + 8) and reflected across the y-axis

Explanation:

A translation using the rule (x, y) →(x + 2, y + 8) adds 2 to the x-coordinate and 8 to the y-coordinate.  This takes our points and maps them the following way:

A(-5, -2)→(-3, 6)

B(-7, -3)→(-5, 5)

C(-6, -6)→(-4, 2)

D(-3, -5)→(-1, 3)

E(-3, -3)→(-1, 5)

The difference between each of these points and the image points is that the x-coordinates are negated.  To do this, we would reflect the points through the y-axis.

3 0
3 years ago
Read 2 more answers
Find a square root that lies between 17 and 18.
olga nikolaevna [1]
Easy
if x is the number
sqrt x is between 17 and 18

17<√x<18
squaer the whole thing
289<x<324
x could be 300
it could be sqrt of 300
√300=10√3

one is 10√3
5 0
3 years ago
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