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2 years ago

-Find the y-intercept of the line with the equation 2x+y=5.

Mathematics

1 answer:

AlekseyPX2 years ago

8 0

Answer:

E. 5

Step-by-step explanation:

Let's rewrite the equation in the form of y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

2x + y = 5

y = -2x+5

M, the slope, is -2

5, b, is the y-intercept

See attached graph.

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Convert the measurement as indicated

Iteru [2.4K]

Answer:

36 ft

Step-by-step explanation:

Given :

12 yards.

We need to convert it into feets. We know that ,

$\implies$ 1 yard = 3 feet

$\implies$ 12 yards = 12 * 3 ft

$\implies$ 12 yards = 36 ft .

Hence the required answer is 36 feets .

5 0

3 years ago

Read 2 more answers

The business college computing center wants to determine the proportion of business students who have personal computers (PC's)

Anastasy [175]

Answer:

Option A) reject null hypothesis if z is greater than 1.645

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 250

p = 30% = 0.3

Alpha, α = 0.05

Number of women belonging to union , x = 75

First, we design the null and the alternate hypothesis

$H_{0}: p = 0.3\\H_A: p > 0.3$

This is a one-tailed(right) test.

Rejection Region:

$z_{critical} \text{ at 0.05 level of significance } = 1.645$

So, the rejection region will be

$z > 1.64$

That is we will reject the null hypothesis if the calculated z-statistic is greater than 1.645

Option A) reject null hypothesis if z is greater than 1.645

6 0

3 years ago

Someone please help me!!

kobusy [5.1K]

<h3>Answer:</h3>

A) Isosceles

E) Obtuse

<h3>Step-by-step explanation:</h3>

Ways to Define a Triangle

Triangles can be defined in two ways: by angles and by sides. Equilateral, isosceles, and scalene are based on side length. Acute, right, and obtuse are based on angle measurements. Triangle may only fall under one category for side length and one for angle measure (2 categories total).

Side Length

First, let's define equilateral, isosceles, and scalene.

Equilateral - All 3 sides of the triangle are congruent (equilateral are always acute angles).
Isosceles - 2 of the sides are congruent.
Scalene - There are no congruent sides; each side has a different length.

The triangle above has 2 congruent sides as shown by the tick marks on the left and right sides. This means the triangle is isosceles.

Angle Measurements

Now, let's define acute, right, and obtuse.

Acute - All 3 angles are less than 90 degrees; all angles are acute.
Right - 1 of the angles is exactly 90 degrees; it has a right angle.
Obtuse - 1 of the angles is greater than 90 degrees; there is an obtuse angle.

The largest angle in the triangle is 98 degrees, which is obtuse. This means that the triangle is obtuse.

7 0

2 years ago

Solve the triangle. B = 36°, a = 38, c = 18

Gelneren [198K]

Answer:

A ≈ 119.7°, b ≈ 25.7, C ≈ 24.3°

Step-by-step explanation:

A suitable app or calculator does this easily. (Since you're asking here, you're obviously not unwilling to use technology to help.)

_____

Given two sides and the included angle, the Law of Cosines can help you find the third side.

... b² = a² + c² - 2ac·cos(B)

... b² = 38² + 18² -2·38·18·cos(36°) ≈ 661.26475

... b ≈ 25.715

Then the Law of Sines can help you find the other angles. It can work well to find the smaller angle first (the one opposite the shortest side). That way, you can tell if the larger angle is obtuse or acute.

... sin(C)/c = sin(B)/b

... C = arcsin(c/b·sin(B)) ≈ 24.29515°

This angle and angle B add to less than 90°, so the remaining angle is obtuse. (∠A can also be found as 180° - ∠B - ∠C.)

... A = arcsin(a/b·sin(B)) ≈ 119.70485°

4 0

3 years ago

Which action is one of the main functions of the circulatory system?

Tema [17]

Answer:

A. delivering substances to the cells of the body

8 0

3 years ago