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dimaraw [331]
2 years ago
13

Given the line y=3/5x+2 find the perpendicular line passing through the point (12,-7)

Mathematics
1 answer:
Monica [59]2 years ago
7 0

Answer:

y=-5/3x+13.

Step-by-step explanation:

As a line that is perpendicular to anoher line has a slope that is the negative reciprocal of the line's original slope, we know that the slope of our new line is -5/3. As it passes point (12, -7), we can use the point slope formula which is y-y1=m(x-x1). So plug in, y+7=-5/3(x-12) and that gives us y+7=-5/3x+20 which gives our final answer of y=-5/3x+13.

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Suppose that you have an enormous grapefruit that is 92% water (by weight). The grapefruit weights 100 pounds. If the water cont
yuradex [85]

Answer:

The weight of grapefruit is now 80 pound.

Step-by-step explanation:

Consider the provided information.

Let the x is the weight loss. The weight of grapefruit is 100 pounds and water is 92%. After evaporation water is 90%.

Thus the weight loss is:

0.92\times100-0.90(100 - x) = x

92-90+0.90x=x

2=x-0.90x

2=0.1x

x=20

Hence, the weight loss is 80 pounds.

Therefore,  New weight is 100 - 20 = 80 pounds

The weight of grapefruit is now 80 pound.

3 0
3 years ago
Geometric Probability
KiRa [710]

Answer:

Step-by-step explanation:

1) P= Area of Circle/ Area of large rectangle

Area of the circle = pi·r² = pi·2²=4 pi ft.²

Area of large rectangle=  l·w -12·10 =120 ft.²

P = 4pi/120 rewrite 120 as 4·30

P= 4 pi/4*30 = pi/30 = 3.14/40 ≈ .1047 ≈10% (because .1047·100 =10.47≅10)

2) P = Area of smaller rectangle/ Area of large rectangle

Area of smaller rectangle = l·w = 2·4 =8 ft.²

Area of large rectangle=l·w = 12·10=120 ft²

P= 8/120 ≅ .0666≅ 7% (because .0666·100 =6.66≅7)

3) P= Not the circle or smaller rectangle/ Area of large rectangle

Not the circle or smaller rectangle area

= Area of large rectangle - Area of circle -Area of smaller rectangle

= 120 -4·pi -8 = 120 - (4· 3.14) -8 = 99.4362939 ft²

Area of large rectangle = l·w = 12·10 =120 ft²

P = 99.4362939 /120 ≅ .8286 ≅83% (because .8286·100 =82.86≅83)

7 0
3 years ago
If 3x−y=12, what is the value of <br>8x/2y?​
Ulleksa [173]

Answer:

3x-y=12

3x-12=y

to find value of

8x/2y

8x/2(3x-12)

8x/6x-24

8x/6x-8x/24

4/3-x/3

4-x/3

Step-by-step explanation:

4 0
3 years ago
If the theoretical probability of a event occurring is 5/7 what is the theoretical probability of the event not occurring
IgorC [24]
2/7 of a chance of it not occurring 
3 0
3 years ago
Read 2 more answers
Multiply (x+4)(x-3).What is the product?
il63 [147K]
Since you have to distribute both numbers, you'll end up with x^2-3x+4x-12 then simplify and it is x^2+x-12
8 0
3 years ago
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