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vova2212 [387]
3 years ago
14

What is the equation of the line perpendicular to the line y =4/9 x – 2 that passes through the point (4,3)?

Mathematics
2 answers:
Scrat [10]3 years ago
4 0
Line y = 4/9 x - 2 has a slope of 4/9.
For perpendicular lines, the ploduct of the two slopes is -1. Thus the slope of the required line is -1/(4/9) = -9/4

Equation of a line is given by y - y1 = m(x - x1)
y - 3 = -9/4(x - 4)
y - 3 = -9/4 x + 9
y = -9/4 x + 9 + 3
y = -9/4 x + 12.
Llana [10]3 years ago
4 0
An815 <span>
<span> Helping Hand </span></span> line through point (a,b) with slope is given by
y-b=m(x-a)
slope of -9/4 is perpendicular to slope of 4/9, as y=4/9x-2 has slope 4/9. Our point is (4,3) therefore.
y-3=-9/4*(x-4)
y-3=-9/4x+9
y=-9/4x+9+3
y=-9/4x+12
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What number or fractions are between 2/3 and 1 1/3
olganol [36]
To find the fraction inbetween,
1. Add up the 2 fractions
2 Divide it by 2

Step (!) Add them up:
2/3 + 1 1/3 = 2

Step (2) Divide the answer by 2:
2÷ 2 = 1

Answer: The number between 2/3 and 1 1/3 is 1.
5 0
3 years ago
Pls help asap<br>AABC ~ ADEF B. Х 8 А 'C E 3 6. D ' x = [?] Enter​
AleksAgata [21]

Answer:

\boxed{ \tt{x = 4}}

Step-by-step explanation:

\frac{3}{x}  =  \frac{6}{8}  \\ 6x = 24 \\ x = 4

4 0
3 years ago
If 72 is 120% of a number, what is 80%<br> of this number?
cupoosta [38]

Answer:

60

Step-by-step explanation:

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

STEP 172 = 120% × Y

STEP 272 =  

120

100

× Y

Multiplying both sides by 100 and dividing both sides of the equation by 120 we will arrive at:

STEP 3Y = 72 ×  

100

120

STEP 4Y = 72 × 100 ÷ 120

STEP 5Y = 60

Finally, we have found the value of Y which is 60 and that is our answer.

You can easily calculate 72 is 120 percent of what number by using any regular calculator, simply enter 72 × 100 ÷ 120 and you will get your answer which is 60

7 0
2 years ago
Mrs. Adams deposited $12,000 into an account that earns an annual simple interest rate of 3.25%. She makes no other deposits or
lisabon 2012 [21]

Answer:

<em>Mrs. Adams will earn $3,120 of interest at the end of year 8.</em>

Step-by-step explanation:

<u>Simple Interest</u>

In simple interest, the money earns interest at a fixed rate, assuming no new money is coming in or out of the account.

We can calculate the interests earned by an investment of value A in a period of time t, at an interest rate r with the formula:

I=A.r.t

Mrs. Adams deposited an amount of A=$12,000 into an account that earns an annual simple interest rate of r=3.25%. We must find the interest earned in t=8 years. The interest rate is converted to decimal as:

r=3.25/100=0.0325

The interest is then calculated:

I=12,000\cdot 0.0325\cdot 8=3,120

Mrs. Adams will earn $3,120 of interest at the end of year 8.

7 0
2 years ago
Plot the line for the equation on the graph. y−4=−1/4(x−5)
icang [17]
You just need two points to graph a line.

When x = 1 

y - 4 = -1/4(1 - 5)
y - 4 = -1/4(-4)
y - 4 = 4/4
y - 4 = 1
y = 5

So, we have our first point, (1,5)

When x = 2

y - 4 = -1/4(2 - 5)
y - 4 = -1/4(-3)
y - 4 = 3/4
y = 4 3/4

Now we have the point (2, 4 3/4)

Now just run a line through the two points and you're done!

6 0
3 years ago
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