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3 years ago

Write the equation of the line with an x-intercept at (0,2) and perpendicular to 3x+4y=12.

Mathematics

2 answers:

Deffense [45]3 years ago

8 0

The answer is y=4/3+2

juin [17]3 years ago

6 0

First you normalize 3x+4y=12 into y = -3/4 x + 3 (dividing by 4).

Then you observe that the slope of the line is -3/4 (it's always the factor with the x). A perpendicular line has the reciprocal slope. Reciprocal means inverted and negated. So -3/4 becomes +4/3.

The equation will thus look like y = 4/3 x + b. To find b, we fill in the given x intercept (0,2), (we get 2 = 4/3 * 0 + b). With x=0, b must be 2.

So the equation is: y = 4/3 x + 2

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Eighth grade ) T.5 Pythagorean theorem: word problems 87U

Komok [63]

Answer:

The tree is 12 feet tall

Step-by-step explanation:

Let a represent the length of where the bird was sitting to the oak tree

let b represent the height of the tree

let c represent the length at which the bird flew

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c²=a²+b²

b²=c²-a²

$b = \sqrt{ {c}^{2} - {a}^{2} }$

subtitute in the values

$b = \sqrt{ {15}^{2} - {9}^{2} }$

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$b = \sqrt{144}$

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2 years ago

You pay $228.50 in taxes at a rate of 10.25% to buy a new TV. How much did the tv cost original? Round your number to the hundre

Allisa [31]

Answer:

$2229.27

Step-by-step explanation:

tax rate: 10.25%

tax amount: $228.50

price before tax: x

10.25% of x = $228.50

0.1025x = 228.5

x = 228.5/0.1025

x = 2229.27

Answer: $2229.27

5 0

2 years ago

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP

Alenkasestr [34]

Answer:

(0, 6)

explanation:

original coordinates of C: (5, -6)

if reflected over x-axis, then use the formula: (x,y) → (x, -y)

new coordinates: (5, 6)

then if translated -5 horizontally, there will be change in x axis

new coordinates: (5-5, 6) → (0, 6)

3 0

2 years ago

I NEED IT<<< I WILL MAKE YOU THE BRAINLIEST IF YOU CAN HELP ME

erma4kov [3.2K]

Answer:$728

Step-by-step explanation:

$156,000 less 20% is $124,800.

That is the amount that is being financed. If the rate is7% per year the first months interest is:

124,800*.07/12 = $728

You didn't ask but if the mortgage is like most conventional mortgages the 30 * 12 = 360 payments are all approximately equal, with less money expended on paying down the principal at first. Their equal payment would be: $830.30

5 0

3 years ago

hjlf

4x - 3y + 20 = 0....4x - 3y = -21

4x - 3y = -21.....multiply by -2
5x - 6y = -25
----------------
-8x + 6y = 42 (result of multiplying by -2)
5x - 6y = -25
---------------add
-3x = 17
x = -17/3

this system of equations has 1 solution

4 0

3 years ago