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3 years ago

Which of the following graphs shows a pair of lines that represents the equations with the solution (4, −1)?

Mathematics

1 answer:

Darya [45]3 years ago

5 0

Answer:

Option B.

Step-by-step explanation:

We need to find a pair of lines that represents the equations with the solution (4, −1).

Since (4,-1) is the solution of the equations. It means (4,-1) is the intersection point of lines.

4 on x-coordinate means 4 units right.

-1 on y-coordinate means 1 unit down.

A coordinate grid is shown from negative 8 to positive 8 on the x axis and also on the y axis. A pair of lines is shown intersecting on ordered pair 4 units to the right and 1 unit down.

Therefore, the correct option is B.

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PLEASE HELP I AM STUCK ON THIS

Fofino [41]

Answer:

Step-by-step explanation:

This is a right triangle problem. The reference angle is x, the side opposite the reference angle is 32, and the hypotenuse is 58. The trig ratio that relates the side opposite a reference angle to the hypotenuse is the sin. Filling in accordingly:

$sin(x)=\frac{32}{58}$

Because you are looking for a missing angle, you will use your 2nd button and then the sin button to see on your display:

$sin^{-1}($

Within the parenthesis enter the 32/58 and you'll get your angle measure. Make sure your calculator is in degree mode, not radian mode!!!

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4 years ago

The angles of elevation froma point X to the top of flagpoles A and B are 35* and 45* respectively. If X lies in the middle of t

BartSMP [9]

Let AB = t. And since X lies in the middle, so AX=BX = t/2 .

Let the height of the smaller flagpole is AO and of larger flagpole is BP .

Using tangent ratio rule in each triangle, we will get

$tan 35 =\frac{AO}{t/2} , tan 45= \frac{BP}{t/2} // AO = \frac{t*tan35}{2}, BP=\frac{t*tan45}{2}$

And there ratio is

$\frac{AO}{BP}= \frac{tan 35}{tan 45}=\frac{0.7}{1}$

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3 years ago

A rock climber is planning to climb a mountain cliff over two days. The climb begins at an altitude of 6,400 feet above sea leve

Furkat [3]

Answer:

Step-by-step explanation:

360h+6,400 >8,020, with a solution is h> 4.

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3 years ago

Using SET NOTATION, what is the solution set for the following equation? a² - 3 = 22

mixas84 [53]

Answer:

a = 5 or a = -5

Step-by-step explanation:

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3 years ago

What is the equation of the line that passes through the point (8, -4) and<br> has a slope of 1/2

Eva8 [605]

Answer:

$y = \frac{1}{2}x - 8$

Step-by-step explanation:

1. Approach,

For this problem, the format of a line that will be used is, slope-intercept form;

$y = mx + b$

Where ( $m$ ) is the slope of the line, also known as the change in the line and $(b)$ is the y-intercept, or where the graph of the line intersects the y-axis. Since, in this problem, the slope of the line is given, all one has to do is substitute in a point on the given line and solve.

2. Finding the equation,

In this problem, the slope of the line is given. Therefore, to solve this problem, all one has to do is substitute in a point on the given line and solve.

$y = mx + b$

Substitute in the slope,

$y = \frac{1}{2}x + b$