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3 years ago

Please find the slope of (-2, 4) and (3, -5)

Mathematics

1 answer:

DIA [1.3K]3 years ago

8 0

Answer:

The slope of the line = m = -9/5

Step-by-step explanation:

Given the points

(-2, 4)

(3, -5)

Determining the slope between (-2, 4) and (3, -5)

(x₁, y₁) = (-2, 4)

(x₂, y₂) = (3, -5)

Using the formula

Slope = m = [y₂ - y₁] / [x₂ - x₁]

= [-5 - 4] / [3 - (-2)]

= [-9] / [3 + 2]

= -9/5

Thus, the slope of the line = m = -9/5

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Justify your answer

BaLLatris [955]

Answer:

8cm

Step-by-step explanation:

x is similar to the side 12cm.

We know the second triangle is rotated counter-clockwise from the first because similar triangles have the same angle measurements.

Since the angle in the first triangle between 9cm and 15cm is 53°, it can't be similar to the angle between x and the hypotenuse in the second triangle.

Find the scale factor:

Triangle 1/Triangle 2

Divide two similar sides.

6/9 = 2/3

Multiply the scale factor by the similar side to find x.

x = 12*(2/3)

x = 8

7 0

3 years ago

Rajesh invested $30,000 into an account that compounds interest monthly at a rate of 2.16%. He has made arrangements to withdraw

Bond [772]

By Evaluating the Compound Interest, we come to know that Rajesh will have enough money in the account to cover all of the required loan payments.

The Principal Amount(P) = $30,000

Rate of Interest (r) = 2.16 %

Time(t) = 10 years

Number of Times it is Compounded in a year(n) = 12

Now, we have

$A =P(1+\frac{r}{100n}) ^{nt}$

Putting all the values, we evaluate the amount,

$A =30,000(1+\frac{2.16}{100*12}) ^{12*10}\\\\A = 30,000 * 1.240\\A = 37,225.84$

Hence, the Amount after Compound Interest = $37,225.87

Now, The loan amount that he pays = 300 *12*10 = $ 36,000

Yes, he will have enough money in the account to cover all of the required loan payments.

To read more about Compound Interest, visit brainly.com/question/29335425

#SPJ1

5 0

1 year ago

Compare 2x+8>18 and 2x+8 greaterthan or equal to 18

Sergio039 [100]

2x + 8 > 18 2x+ 8 ≥ 18
2x > 18 -8     2x ≥ 18 - 8
2x > 10    2x ≥ 10
x > 10/2 x ≥ 10/2
x>5 x ≥ 5

   The answer that combines both inequality is x ≥ 5

6 0

3 years ago

What is 56/18 in simplest form

Triss [41]

Answer:

The answer in the simplest form would be 28/9 or 3 1/9

Step-by-step explanation:

Very simple you would divide the 56 and the 18 by 2 and you get 28/9.

or you could change it to a improper fraction in that case it would be 3 1/9

6 0

3 years ago

Read 2 more answers

Circle X is shown in the diagram.

GaryK [48]

Answer:

m<1 = 1/2(a+b)

Step-by-step explanation:

First, you have to add the two different side angles and then divide by two. I just took my quiz and got this.

7 0

3 years ago