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gogolik [260]
3 years ago
7

Write the equation of a line that is perpendicular to y=3/2x+2 that goes through (6,-3)

Mathematics
1 answer:
scoray [572]3 years ago
4 0

Answer:

y + 3 = -\frac{2}{3}(x-6)

Step-by-step explanation:

Perpendicular lines are lines which intersect at 90 degrees which have negative reciprocal slopes. The slope of the line y = 3/2x + 2 is 3/2. The slope of the line perpendicular to it will be -2/3. Substitute m = -2/3 and (6,-3) into the point slope form of a line.

y - y_1 = m(x-x_1)\\y - -3 = -\frac{2}{3}(x-6)\\y + 3 = -\frac{2}{3}(x-6)

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The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 60 o
Gala2k [10]

Answer:

Step-by-step explanation:

Given that the Acme Company manufactures widgets, which have a mean of 60 ounces and a standard deviation of 7 ounces

We know that 95% of the area lie between -2 and 2 std deviations from the mean.

i.e. Probability for lying in the middle of 95%

Z score (60+7(-2), 60+7(2))\\=(46, 74)

Between 46 and 74 oz.

b) Between 12 and 57

convert into Z score

(\frac{12-60}{7}

P(-6.86<z<-0.43)

=0.5-0.1664=0.3336

c) X<30 gives Z<-4.83

i.e. P(X<30) =0.00

3 0
3 years ago
Please help Fast A parking lot contains motorcycles (2 Wheels) and cars (4 Wheels). There are 35 vehicles and 114 wheels. How ma
swat32

Answer: There will be 20 motorcycles and 26 cars

let me know if you want me to explain:)

Step-by-step explanation:

If you want to check multiply 26 by the amount of wheels on each car (4) to get 104  total car wheels, then multiply the 20 motorcycles by the wheels of each motorcycle (2) to get 40. Lastly add the 104 and 40 together to get 144 the total amount of wheels in the parking lot.

Hope this helps :)

3 0
3 years ago
Find the area of the region shaded in green. Use 3.14 to approximate pi.
8090 [49]

Answer:

254 cm² (to 3 s.f.)

Step-by-step explanation:

Area of shaded region

= area of large circle -area of smaller circle

\boxed{area \: of \: circle = \pi {r}^{2} }

Radius of large circle= 15cm

Radius of smaller circle= 12cm

Area of shaded region

= π(15²) -π(12²)

= 225π -144π

= 81π

= 81(3.14)

= 254.34

= 254 cm² (3 s.f.)

3 0
3 years ago
Can someone help me with this?
algol13

Answer: x=12

Step-by-step explanation:

we know that sum of a triangle is 180 degrees

one angle is 90 degree

the sum will be 90+(2x+1)+(5x+5)=180

substract 90 from both sides

2x+1+5x+5=180-90

7x+6=90

7x=90-6

divide by 7

x=12

8 0
3 years ago
What is the answer to this problem?
Sedaia [141]

Answer:

x = 4.

Step-by-step explanation:

These are exterior  alternate angles which are congruent.

So 21x + 6 = 90

21x = 84

x = 4.

8 0
3 years ago
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