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KIM [24]
3 years ago
10

Line j is perpendicular to the line with the given equation and the line j passes through p. write an equation of line j

Mathematics
1 answer:
Darya [45]3 years ago
8 0
Using the slope intercept formula, we can see that the slope of line p is 3/5.Since line j is perpendicular to line p it must have a slope that is the negative reciprocal(-5/3).Using the formula we can find the answer.j:y-1=-5/3(x-5)
Doing some math we get:5x+3y=28
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You have 3 online accounts in three different banks valued at: bank "A" = $250.67, 12% interest, bank "B" $765.13, 7% interest,
gregori [183]

Answer:

\$882.89

Step-by-step explanation:

we know that

The simple interest formula is equal to

I=P(rt)

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

Bank A

t=1\ years\\ P=\$250.67\\r=12\%=12/100=0.12

substitute in the formula above

I=250.67(0.12*1)=\$30.08

Bank B

t=1\ years\\ P=\$765.13\\r=7\%=7/100=0.07

substitute in the formula above

I=765.13(0.07*1)=\$53.56

Bank C

t=1\ years\\ P=\$28,500.36\\r=9\%=9/100=0.09

substitute in the formula above

I=28,500.36(0.09*1)=\$2,565.03

Find the average interest gained from the three accounts in one year

[\$30.08+\$53.56+\$2,565.03]/3=\$882.89

3 0
3 years ago
In ABC the measure of angle a is 2X +3 the measure of angle B is 4X +2 and the measure of angle C is 2X-1 what are the measures
Novay_Z [31]
Angle A is 2x + 3
Angle B is 4x + 2
Angle C is 2x - 1

The three angles add up to 180
So:
2x + 3 + 4x + 2 + 2x - 1 = 180
Combine terms
8x +  4 = 180
Subtract 4
8x = 176
x = 22

Now we solve for the angles:
Angle A is 2(22) + 3 = 44 + 3 = 47
Angle B is 4(22) + 2 = 88 + 2 = 90
Angle C is 2(22) - 1 = 44 - 1 = 43

Quick check: 47 + 90 + 43 = 180
8 0
3 years ago
What is the surface area of the figure shown above
gtnhenbr [62]

Answer:

  230 cm^2

Step-by-step explanation:

The area of each parallelogram face is ...

  A = bh = (8 cm)(3 cm) = 24 cm^2

The area of the two rectangular faces shown is ...

  A = (area of top face) + (area of right side face)

  A = (8 cm)(7 cm) +(5 cm)(7 cm) = 91 cm^2

The three faces we have figured the area of are half the total area, since there are three more faces exactly the same size. Then the total area of the figure is ...

  total surface area = 2(24 cm^2 +91 cm^2) = 230 cm^2

_____

Of course, the area of a rectangle is given by A=L·W, where L and W represent the length and width of the rectangle.

7 0
3 years ago
Which inequality best represents that ice cream at −3°C is cooler than ice cream at 1°C?
Naya [18.7K]

the correct answer is B

"ice cream at -3 degrees C is cooler than ice cream at 1 degree C"

-3 is smaller than 1

-3 < 1

8 0
3 years ago
A training field is formed by joining a rectangle and two semicircles. The semicircles are attached on opposite sides of the rec
Anarel [89]

Step-by-step explanation:

There is figures in you question. Please check your question.

5 0
2 years ago
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