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3 years ago

Which linear equation is represented by the table?

Mathematics

1 answer:

Dmitry_Shevchenko [17]3 years ago

4 0

The answer is y = -3x + 11, if you plug in a few examples it works.

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56 = h/9<br> k/5 - 10 = 3<br> 3t + 5 =2

uranmaximum [27]

Answer:

h = 504, k = 65, t = -1

Step-by-step explanation:

56 = h/9

h = 56 x 9

h = 504

k/5 - 10 = 3

k/5 = 3 + 10

k/5 = 13

k = 13 x 5

k = 65

3t + 5 = 2

3t = 2 - 5

3t = -3

t = -3/3

t = -1

3 0

2 years ago

A stew recipe states that of the whole stew should be beef. Marika made her stew with 4 pounds of beef. What was the total

11Alexandr11 [23.1K]

Answer:

10 pounds.

Step-by-step explanation:

In this scenario, we can use the Rule of Three to solve for the whole weight of the stew. This rule is used for ratio problems. You simply need to multiply the available diagonal values together and then divide by the remaining value to get the value of the single variable in the ratio. Like so...

40% <=====> 4 pounds

100% <=====> x pounds

(100 * 4) / 40 = x pounds

400 / 40 = x pounds

10 = x pounds

Finally, we can see that the total weight of the stew if she followed the original recipe would be 10 pounds.

4 0

2 years ago

Factor the following completely 6i^2−7i−3, and 2i^2−11i+14

Alja [10]

Answer:

-7i - 9

-11i + 12

Step-by-step explanation:

i stands for imaginary number, in which i² = -1

6i² = 6 * -1 = -6

-6 - 7i - 3

Combine like terms:

-6 - 3 = -9

-7i - 9

2i^2 = 2 * -1 = -2

Combine like terms:

-11i + 14 - 2

-11i + 12

8 0

3 years ago

taki has her back to a wall. She starts to walk straight forward. She stops and turns 157° to the right and walks back in this d

Georgia [21]

Answer:

$67^\circ$

Step-by-step explanation:

Given that:

Initially, Taki has her back to a wall and then starts walking straight forward.

Kindly refer to the diagram attached in the answer area.

Initially, Taki was at point A and then moves towards point B.

At point B, Taki turns $157^\circ$ and then starts walking to reach point C at the wall.

To find:

The angle $x$ that her body is making with the wall.

Solution:

As per question statement:

$M\angle B = 157^\circ$

We know that angle on straight line is always $180^\circ$

i.e.

$M\angle B + m\angle B= 180^\circ\\\Rightarrow 157^\circ + m\angle B= 180^\circ\\\Rightarrow m\angle B = 180-157\\\Rightarrow m\angle B = 23^\circ$

Now, using the angle sum property of a triangle in $\triangle ABC$ :

$m\angle A + m\angle B+ m\angle C = 180^\circ\\\Rightarrow 90+23+x = 180^\circ\\\Rightarrow x = 180 - 90 - 23\\\Rightarrow x = \bold{67^\circ}$

So, our answer is: $67^\circ$

7 0

3 years ago

Two points A (-2, 9) and B (4, 8) lie on a line l. (i) Find the slope of the line l. (ii) Find the coordinates of the midpoint o

snow_lady [41]

Answer:

The slope of the line is: $\frac{-1}{6}$

The midpoint is located in (1, 8.5)

The distance between the points is 2.236

Step-by-step explanation:

The slope of the line can be calculated by:

$m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{8-9}{4+2} = \frac{-1}{6}$

The midpoint can be calculated by:

$midpoint = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2})\\midpoint = (\frac{-2 + 4}{2}, \frac{9 + 8}{2})\\midpoint = (1, 8.5)$

The distance between two points is:

$distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\\distance = \sqrt{(-4+2)^2 + (8 - 9)^2}\\distance = \sqrt{(-2)^2 + (-1)^2}\\distance = \sqrt{4 + 1} = \sqrt{5} = 2.236$

4 0

3 years ago