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JulsSmile [24]
3 years ago
6

the width of a rectangle is 7 cm less than twice its length. its area is 30 square cm. find the dimensions

Mathematics
1 answer:
spayn [35]3 years ago
5 0

Answer:

l = 6 cm

w = 5 cm

Step-by-step explanation:

l(2l - 7) = 30

2l^2 - 7l - 30

(2l + 5)(l - 6)

l = 6

2(6) - 7 = 5

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Find the value of r so the line that passes through the pair of points has the given slope. (3, 5), (−3, r), m=34
frez [133]

The value (y2) of r = 1/2.

This question relates to equation of a straight line but we are looking for the slope in this case.

<h3>Slope</h3>

This is the ratio to which we measure the change along the y-axis to the change along the x-axis. The formula is given as

m = \frac{y_2 - y_1}{x_2 - x_1}

Data given;

  • x1  = 3
  • x2 = -3
  • y1 = 5
  • y2 = r
  • m = 34 or 3/4

Substitute the values into the equation and solve for the unknown

NB; we are assuming that the slope here is 34 and not 3/4.

m = \frac{y_2 - y_1}{x_2 - x_1} \\34 = \frac{r - 5}{-3 - 3}\\34 = \frac{r - 5}{-6}\\

cross multiply both sides and make r the subject of formula

34 * -6 = r - 5\\-204 = r - 5\\r = -204+5\\r = -199

the value of r = -199.

This is not mathematically obtainable and we would use 3/4 as the value of slope

\frac{3}{4}= \frac{r - 5}{-3 - 3}\\\frac{3}{4}=\frac{r - 5}{-6}\\4(r-5) = 3 * -6\\4r- 20 = -18\\4r = -18 +20\\4r = 2\\r = \frac{1}{2}

The most logical value of r = 1/2

Learn more on slope here;

brainly.com/question/4074386

7 0
3 years ago
Help plz i really appreciate it ​
yuradex [85]

Answer:

Variant A

Step-by-step explanation:

1)y= - 3x+1

2)y+5= - 3(x-2)

y+5= - 3x+6

y= -3x+1

They are equal

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The answer is choice D because if you combine the like terms, you get 15-23i

i hope that helps!!!!
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4(x -2) +(y +5) = 0 . . . . . an equation

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