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aliya0001 [1]
2 years ago
5

Andy wrote the equation of a line that has a slope of Step 2: y plus 2 equals StartFraction 3 Over 4 EndFraction x minus StartFr

action 9 Over 4 EndFraction. and passes through the point (3, –2) in function notation.
Mathematics
1 answer:
Archy [21]2 years ago
4 0

Andy's equation is incorrect and the correct equation of the line is y + 2= 3/4(x - 3)

<h3>How to determine the equation of the line?</h3>

The given parameters are:

Slope, m = 3/4

Point, (x,y) = (3,-2)

The equation of the line is calculated using:

y - y1 = m(x - x1)

Substitute the known parameters

y + 2= 3/4(x - 3)

From the question;

Andy's equation is y + 2 = 3/4(x - 9/4)

The above equation is different from the actual equation y + 2= 3/4(x - 3)

Hence, Andy's equation is incorrect and the correct equation of the line is y + 2= 3/4(x - 3)

Read more about linear equations at:

brainly.com/question/1884491

#SPJ1

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If ABCD is a rectangle find angle ABD​
8090 [49]

Answer:

61 degrees

Step-by-step explanation:

First, find x. CBD=BDA

x+18=4x-15

x=11

Four interior angles of a rectangle are all 90 degrees. So to find ABD, subtract  CBD from 90 degrees. So 90-29=61 degrees.

8 0
3 years ago
Pete estimates that he has spent $64.50 on supplies for his lawn mower. He charges $12 per lawn for his service. Write a linear
nadya68 [22]

Answer:

The equation representing the Amount of profit Peter earns is y=12x-64.5 .

Step-by-step explanation:

Given:

Money spent on supplies = $64.50

Per lawn charge for mowing lawn = $12

Solution:

Let the amount of profit Pete earns be represented by 'y'.

Let the number of lawns to be mowed be represented by 'x'

Now we can say that:

Amount of profit Pete earns is equal to Per lawn charge for mowing lawn multiplied by number of lawns to be mowed minus Money spent on supplies.

framing in equation form we get;

y=12x-64.5

Hence The equation representing the Amount of profit Peter earns is  y=12x-64.5 .

7 0
4 years ago
Find the sum of the geometric series 9000-900 +...+ 0.009
bagirrra123 [75]

Based on the calculations, the sum of this geometric series is equal to 9,990.

<h3>The standard form of a geometric series.</h3>

Mathematically, the standard form of a geometric series can be represented by the following expression:

\sum^{n-1}_{k=0}a_1(r)^k

Where:

  • a₁ is the first term of a geometric series.
  • r is the common ratio.

<h3>How to calculate the sum of a geometric series?</h3>

Also, the sum of a geometric series is given by this mathematical expression:

S=\frac{a_1(1-r^n)}{1-r}

<u>Given the following data:</u>

  • First term, a = 9000.
  • Common ratio, r = 900/9000 = 0.1

Substituting the given parameters into the formula, we have;

S=\frac{9000(1-0.1^3)}{1-0.1}\\\\S=\frac{9000(1-0.001)}{1-0.1}

S = 9000(0.999)/0.9

S = 8,991/0.9

S = 9,990.

Read more on geometric series here: brainly.com/question/12630565

#SPJ1

5 0
2 years ago
Two Supplementary angles are in the ratio 5 : 7, then the measure of two angles are *
inn [45]

Answer:

75°, 105°

Step-by-step explanation:

Supplementary angles sum to 180°

Sum the parts of the ratio, 5 + 7 = 12 parts

Divide 180° by 12 to find the value of one part of the ratio.

180° ÷ 12 = 15° ← value of 1 part of the ratio, thus

5 parts = 5 × 15° = 75°

7 parts = 7 × 15° = 105°

8 0
3 years ago
Please help qawduhggdr
Ronch [10]

Answer:

3^4

Step-by-step explanation:

7 0
3 years ago
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