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3 years ago

What is the slope of the line?

Mathematics

1 answer:

lora16 [44]3 years ago

3 0

Answer:

slope = 1

Step-by-step explanation:

(3,0) ; (0, -3)

$slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{-3-0}{0-3}\\\\=\frac{-3}{-3}\\\\=1$

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What is an equivalent ratio ? Real world example

arsen [322]

A ratio is used to describe how two or more quantities are related. For example, we might say that a fruit drink calls for sugar crystals to be mixed with water in a ratio of 2:6. This means that for every 2 scoops sugar crystals, there will need to be 6 ounces of water. If there were 200 scoops of sugar crystals, there would need to be 600 ounces of water.

3 0

3 years ago

During the trip, the Morales family drove on several different highways. Gabriela and Luis noticed that sometimes the mile marke

Elenna [48]

Answer:

The slope of the line is 77

Explanation:

We know the speed is constant and that the mile-marker location over time can be represented by a line. This means that the equation is linear.

The slope can, therefore, be calculated as follows:

$slope = \frac{y_2-y_1}{x_2-x_1}$

where (x₁ , y₁) and (x₂ , y₂) are two points on the line

We are given that the two points (1, 123) and (3, 277) are two points in the line

Substitute with them in the above equation to get the slope as follows:

$slope = \frac{277-123}{3-2}=77$

Hope this helps :)

3 0

3 years ago

Which ordered pairs make both inequalities true? Select two options. y < 5x + 2 y > One-halfx + 1 On a coordinate plane, 2

Verdich [7]

Answer:

(1, 2)

(2,2)

Step-by-step explanation:

The inequality Given :

y < 5x + 2

y ≥ One-halfx + 1

We can use the values in the options to see which satisfies the inequality :

(-1, 3) ; X = - 1, y = 3

3 < 5(-1) + 2 ; 3 < - 4 (not true)

(0, 2) ; X = 0 ; y = 2

2 < 5(0) + 2 ; 2 < 2 (nor true)

2 > 1/2(0) + 1

2 > 1 (true)

Using (1, 2).; x = 1 ; y = 2

2 < 5(1) + 2 ; 2 < 7 (true)

2 > 1/2(1) + 1 ; 2 > 1.5 (true)

Using (2, 2)

y < 5x + 2

2 < 10 + 2 ; 2 < 12 (true)

y > 1/2x + 1

2 > 1/2(2) + 1 ; 2

8 0

3 years ago

The sides of a Triangle are in the ratio 11 19:24 and

Paul [167]

Answer: The area of the triangle with the perimeter of 540 cm is approximately 10200 cm²

More exactly: 10182 cm²

Step-by-step explanation: $A=\frac{bh}{2}$

240 × 84.85 = 10182

To get the height of the triangle, it takes some trigonometry;

Given 3 sides of a triangle, it is possible to calculate the angles using the Law of cosines and the formula $cos A =\frac{b^{2} +c^{2} -a^{2} }{2bc}$

We will need the measure of angle A, then use the sine of A to get the height of the line from angle C perpendicular to the base, side b.

We can use the dimensions given in the proportions and then multiply by 10 because the sides given add to a perimeter of 54, one tenth of the 540 cm of the actual triangle. The angles of the similar triangles are congruent.

side a = 19, side b = 24, side c = 11

24² + 11² - 19² is 576 + 121 - 361 = 336

2(24)(11) = 528

cos A = 336 / 528 that is 0.636364 $\cos^{-1}\left(.6363634\right)$ = 50.47°

sin(50.47) = 0.77129

0.77129 × 11 = 8.48 is the height Rounding to 8.5 would be reasonable for this height

Using rounded values here to calculate Area :

85 × 240/2 = 10200 cm²

8 0

2 years ago

PLEASE HELP I'M STUCK ;-;

QveST [7]

Answer:

the distributive property is supposed to simplify your equation

Step-by-step explanation:

-4.2 - 6y + 3.6

5 0

2 years ago

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