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3 years ago

Find the gradient of the line segment between the points (-3,3) and (2,5).

Mathematics

1 answer:

BlackZzzverrR [31]3 years ago

7 0

Answer:

2/5

Step-by-step explanation:

5-3/2-(-3)=2/5

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A triangle has sides with lengths 5, 12, and 13. Verify this is a Pythagorean triple. Approximate the acute angles in this trian

djyliett [7]

A triangle with lengths 5, 12, and 13 is a Pythagorean triple

The approximate acute angles are 22.6° and 67.4°

Pythagorean triple

Pythagorean triple consist of positive number(a, b, c) such that it obeys the rule:

c² = a² + b²

A triangle whose sides form a Pythagorean triple is called a right angle triangle.

The longest side is the hypotenuse side.

Therefore,

5² + 12²
25 + 144 = 169
√169 = 13

Therefore,

5² + 12² = 13²

This means the triangle is a Pythagorean triple.

<h3>Acute angles</h3>

Acute angles are angles that are less than 90 degrees. This means the other two angles are acute angle.

Therefore, let's find them

tan ∅ = opposite / adjacent = tan ∅ = 5 / 12 = ∅ = 22.6198649155 = 22.6°
180 - 22.6 - 90 = 67.4°

learn more on Pythagorean triple here: brainly.com/question/2293263?referrer=searchResults

7 0

2 years ago

Read 2 more answers

Evelyn bought 8.4 gallons of gas for $23.94. Which equation can be used to determine the price of each gallon of gas? 8.4x = 23.

adoni [48]

Answer:

the equation would be

8.4x = 23.94

Step-by-step explanation:

Let the price of each gallon of gas is $x.

And we have been given that 8.4 gallons of gas for $23.94.

So, we can make the below proportion

Cross multiplying, we get

Hence, the equation that can be used to determine the price of each gallon of gas is

pls mark as brainliest

8 0

2 years ago

Read 2 more answers

Need help with this please!!

Umnica [9.8K]

Answer:

1. A) -12, 3 B) -6, 9 C) 0, -6 D) -15, -6

2. L) 1, -4 M) 6, 4 N) 7, -2

3. P) 4, 12 Q) 12, 12 R) 12, 8 S) 4, 8

4. W) 3, -6 X) 9, -3 Y) 15, -6 Z) 9, -9

5. M) -14, -8 N) -8, -6 O) -6, -12 P) -12, -14

6. D) -1, 3 E) 2, 2 F) 2, 1 G) -1, 0

6 0

3 years ago

Write a possible third degree polynomial with integer coefficient that have zeros: 1 2i, -4. Assume the leading coefficient to b

jasenka [17]

Answer:

The polynomial is:

$p(x) = x^3 + 2x^2 - 3x + 20$

Step-by-step explanation:

A third degree polynomial can be written in function of it's zeros $x_1, x_2, x_3$ the following way:

$p(x) = a(x - x_1)(x - x_2)(x - x_3)$

In which a is the leading coefficient.

Integer coefficient that have zeros: 1+2i, 1-2i, -4

Leading coefficient: 1

$p(x) = 1(x - (1+2i))(x - (1-2i))(x - (-4))$

$p(x) = (x - 1 -2i)(x - 1 + 2i)(x + 4)$

$p(x) = ((x-1)^2 - (2i)^2)(x + 4)$

$p(x) = (x^2 - 2x + 1 - 4i^2)(x + 4)$

Since $i^2 = -1$

$p(x) = (x^2 - 2x + 1 + 4)(x + 4)$

$p(x) = (x^2 - 2x + 5)(x + 4)$

$p(x) = x^3 + 4x^2 - 2x^2 - 8x + 5x + 20$

$p(x) = x^3 + 2x^2 - 3x + 20$

3 0

3 years ago

the expression 7x + 300 represents the amount of interest that is being paid for a new tv in dollars, where x is months. what do

blsea [12.9K]

Answer:

7x means that you are paying for 7 months. and 7x is a term.

Step-by-step explanation:

Rules for whether its a term, coefficient, or factor:

a TERM has a variable. 7x is a term.

a COEFFICIENT is the number part of a term. in 7x, the coefficient is 7.

a FACTOR is something which is multiplied by something else. A factor can be a number, variable, term, or a longer expression.

6 0

2 years ago