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Nitella [24]
4 years ago
14

Cassidy wrote the linear equation y=5x+4 Then, she wrote the equation of the line that is parallel to y=5x+4 and that passes thr

ough (8,–2). If her new equation is in the form y=5x+b what is the value of b? please helpppp
Mathematics
1 answer:
Daniel [21]4 years ago
3 0
Well, again <span>y=5x+4  is in slope-intercept form, therefore    </span>\bf y=\stackrel{slope}{5}x+4.

so then, a parallel line to a line with that equation, will also have the same slope, therefore, what's the equation of a line whose slope is 5 and goes through 8, -2?

\bf \begin{array}{lllll}&#10;&x_1&y_1\\&#10;%   (a,b)&#10;&({{8}}\quad ,&{{ -2}})&#10;\end{array}&#10;\\\\\\&#10;% slope  = m&#10;slope = {{ m}}= \cfrac{rise}{run} \implies 5&#10;\\\\\\&#10;% point-slope intercept&#10;\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-2)=5(x-8)\implies y+2=5x-40&#10;\\\\\\&#10;y=5x-40-2\implies y=5x-42
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Andre tried to solve the equation 1/4(x + 12) = 2. What was his mistake? *
Umnica [9.8K]

Answer:

x=-4

Step-by-step explanation:

x+12=8    

x=8-12

Andre did not multiple both by four to get the exact whole number. He also, didnt subtract 12 which is not possible due to it being multiplied by 1/4.

5 0
3 years ago
Frank cut a 52 inch string into 3 pieces. The first piece is 20 inches long. The second piece is at least 12 inches long, but no
Eddi Din [679]
We need to figure out how much string would be left, after taking away the first two pieces.
We know that the first piece is 20 inches long, so we can say that there is 52-20 inches left, or 32 inches.

The second piece is between 12 and 18 inches, meaning that there would be between 32-12 and 32-18 inches left for the third piece, or 20 and 14 inches. This means that the third piece would be at least 14 inches long, but no more than 20, since we don’t have more string than that (20+12+20=52, and 20+14+18=52)

So we can say that x is greater or equal to 14, but less than or equal to 20, or:

14<=x<=20 (“<=“ is written like a normal “<“ sign with a line _ right under it)
4 0
3 years ago
a garden plot is to contain 240 sq. ft. if its length is to be 3 times its width,what should its dimensions be?
SOVA2 [1]
240 ft^2 = L X W
240 = 3W x W
240 = 3W^2
W = 8.94427 ft
L = 3W = 3(8.94427)
L = 26.8328 FT
8 0
3 years ago
Find the area of an equilateral triangle with radius 22 cm. Round to the nearest whole number.
earnstyle [38]

Answer:this item, we are given with the radius equal to 22 cm.

In this measurement of the radius is the hypotenuse of the 30°-60°-90° triangle formed with the half the measurement of the side of the equilateral triangle being opposite to the 60°  and equal to the hypotenuse times (1/2)(√3)

Step-by-step explanation:

If we let s be the side of the triangle then,

                 s/2 = r(1/2)(√3)

Multiplying the equation by 2,

                 s = r√3

Substituting,

              s = (22 cm)(√3) = 22√3

The area of the equilateral triangle is computed through the equation,

         A = (√3 / 4)(s²)

Substituting,

         A = (√3 / 4)(22√3)² = 628.7 cm²

Therefore, the answer to this item is the first choice. 

4 0
3 years ago
Pls help and have a great day &lt;333!!!!
nirvana33 [79]

Answer:

find the least common multiple for the denominator and multiply with the numerator

for the first one,

Step-by-step explanation:

the common multiple for 4 and 6 is 12

4×3=12

6×2=12

multiply the same numbers with the numerator

1×3=3

5×2=10

the answer is 3/12 and 10/12

8 0
3 years ago
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