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3 years ago

Graph the line through points (-1, -3) and (7, -8) From the graph, tell whether the slope is..

Mathematics

1 answer:

olga nikolaevna [1]3 years ago

8 0

Answer:

a) Negative slope

$m=-\frac{5}{8}$

Step-by-step explanation:

The graph of the given line is shown in the attachment.

We can see from the grap that, the line is sloping backwards.

Therefore the line has a negative slope.

The given points are (-1,-3) and (7,-8).

We use the formula $m=\frac{y_2-y_1}{x_2-x_1}$ to find the slope of this line.

$\implies m=\frac{-8--3}{7--1}$

$\implies m=\frac{-8+3}{7+1}$

$\implies m=-\frac{5}{8}$

We can confirm from the result of our calculation that the slope is actually negative.

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Solve the system by the method of elimination.

Anton [14]

Answer:

(10, -5)

Step-by-step explanation:

Given system of equations is,

0.6x - 0.3y = 7.5

Divide this equation by 0.3

2x - y = 25 -------(1)

0.4x + 0.2y = 3

2x + y = 15 -------(2)

Now we subtract equation (2) from equation (1),

(2x - y) - (2x + y) = 25 - 15

-2y = 10

y = -5

From equation (1),

2x - (-5) = 25

2x + 5 = 25

2x = 20

x = 10

Therefore, (10, -5) will be the solution of the system of equations.

4 0

3 years ago

Whats the answer when you solve the following proportion? x/2 =8/9

vfiekz [6]

Cross multiply:-
9 * x = 2 * 8

x = (2 * 8) / 9 = 16/9 or 1 7/9 answer

3 0

3 years ago

Callie has a new kitten. They can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18

gavmur [86]

Answer:

The weight of cat is 14 pounds and the weight of kitten is 4 pounds.

Step-by-step explanation:

Given:

Callie has a new kitten. It can weigh 3 pounds less than half the weight of Callie‘s cat. Together the cat and kitten weigh 18 pounds.

Now, to find the weight of each animal:

Let the cat's weight be $x.$

And the kitten weight = $\frac{x}{2} -3$

Total weight of cat and kitten = 18 pounds.

Now, to set an equation to get the weight of each animal:

$(x)+(\frac{x}{2}-3)=18$

$x+\frac{x}{2} -3=18$

$\frac{2x+x-6}{2} =18$

$\frac{3x-6}{2} =18$

Multiplying both sides by 2 we get:

$3x-6=36$

Adding both sides by 6 we get:

$3x=42$

Dividing both sides by 3 we get:

$x=14\ pounds.$

The weight of cat = 14 pounds.

Substituting the value of $x$ to get the kitten's weight:

$\frac{x}{2} -3\\\\=\frac{14}{2}-3\\\\=7-3\\\\=4.$

The kitten's weight = 4 pounds.

Therefore, the weight of cat is 14 pounds and the weight of kitten is 4 pounds.

7 0

3 years ago

#3 please. Thank you

Gre4nikov [31]

Experimental, a 7 out of 40 chance, add all of the results together and take the result of the diamond and fraction it with the whole like this 7/40, 31/40, much the same as b, 0/40 chance, because there is no stare in the cards.

3 0

4 years ago

The number of students who ride the school bus is 110% of the number of students who walk. How many students ride the school bus

Mama L [17]

Answer:

506

Step-by-step explanation:

5 0

3 years ago