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sasho [114]
3 years ago
8

In slope-intercept form find a line that passes through (-4, 6) and is perpendicular to 2x + 3y = 12

Mathematics
1 answer:
leonid [27]3 years ago
8 0

Answer:

y = 3/2 * x + 12

Step-by-step explanati

2x + 3y = 12

y = -2/3x + 4

slope: -2/3

slope' of perpendicular line: 3/2

6 = 3/2 * (-4) + b

b = 12

equation: y = 3/2 * x + 12

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An investment of 11,000 is made into an account that earns 4.25% annual compound interest for 30 months. Assuming no other depos
LenKa [72]

Answer:

It should be $12168.75

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.25%/100 = 0.0425 per year,

then, solving our equation

I = 11000 × 0.0425 × 2.5 = 1168.75

I = $ 1,168.75

The simple interest accumulated

on a principal of $ 11,000.00

at a rate of 4.25% per year

for 2.5 years is $ 1,168.75.

1,168.75 + 11000 = 12168.75

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3 years ago
Which distributive property gives the same answer as 7(99)?
Makovka662 [10]

Answer:

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Step-by-step explanation:

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6 0
3 years ago
The recommended angle for a firefighting ladder is 75 degrees. When a 110-foot ladder is put up against a building at this angle
Sergeeva-Olga [200]

Answer: 114.37 ft

Step-by-step explanation:

If we model this situation as a right triangle, where the hypotenuse is the length of the ladder (110 ft), the opposite leg is the height the ladder will reach h, and the adjacent leg is the distance between the base of the ladder and the building (28 ft); we have two options:

1) Using trigonometric functions, since we are given the angle \theta=75\°

2) Using the Pithagorean Theorem

Any of the options will give a similiar result. So, let's choose the Pithagorean Theorem:

(hypotenuse)^{2}=(opposite-leg)^{2}+(adjacent-leg)^{2}

(110 ft)^{2}=(h)^{2}+(28 ft)^{2}

Isolating h:

h=\sqrt{(110 ft)^{2}-(28 ft)^{2}}

h=106.37 ft

Adding to this height the extra height of 8 ft (since the base of the ladder is at this distance above the ground, perhaps held by a firefighter truck):

h=106.37 ft+8 ft=114.37 ft This is the height the ladder will reach

6 0
3 years ago
Need help on this question please provide details on how to solve this problem
Butoxors [25]
A and D are both Yes, and the others are No. A steep slope is the greater number, and for a slope to go down and to the right the number must be negative.
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3 years ago
Please helpppp. I hate math
nikitadnepr [17]

Answer:

A

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we all do

6 0
3 years ago
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