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2 years ago

A line connecting the points (-3,0) and (x, -6)has slope -1. Determine x.

Mathematics

2 answers:

ankoles [38]2 years ago

5 0

Answer:

x=3

Step-by-step explanation:

We can use the slope formula to help complete this question

m = (y2-y1)/(x2-x1)

-1 = ( -6-0)/(x- -3)

-1 = -6/ (x+3)

Multiply each side by (x+3)

-x-3 = -6

Add 3 to each side

-x -3+3 = -6+3

-x =-3

Multiply each side by -1

x = 3

Digiron [165]2 years ago

5 0

Answer:

x = 3

Step-by-step explanation:

The given slope and point can be used to write the equation of the line using the point-slope form. To find x for a given y, we can solve that equation.

<h3>setup</h3>

The point-slope form of the equation for a line is ...

y -k = m(x -h) . . . . . . line with slope m through point (h, k)

For (h, k) = (-3, 0), and m = -1, the equation is ...

y -0 = -1(x -(-3))

y = -x -3

We want x when y = -6, so this becomes ...

-6 = -x -3

<h3>solution</h3>

Adding x+6 to both sides of the equation, we get ...

(x +6) -6 = -x -3 +(x +6)

x = 3 . . . . . . . simplify

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You buy milk that contains 180 calories per 2 cups. Use a ratio table to find the number of calories in 5.5 cups.

Ludmilka [50]

Answer:

The number of calories in 5.5 cups are <u>495</u>.

Step-by-step explanation:

Given:

You buy milk that contains 180 calories per 2 cups.

Now, to find the number of calories in 5.5 cups.

Let the number of calories in 5.5 cups be $x.$

As, in 2 cups there are 180 calories.

2 cups is equivalent to 180 calories.

Thus, the ratio would be $2:180.$

So, in 5.5 cups there are $x$ calories.

5.5 cups is equivalent to $x$ calories.

Thus, the ratio would be $5.5:x.$

Now, we set proportion to get the number of calories in 5.5 cups:

$2:180::5.5:x$

$\frac{2}{180} =\frac{5.5}{x}$

<em>By cross multiplying we get:</em>

$2x=990$

<em>Dividing both sides by 2 we get:</em>

$x=495$ .

Therefore, the number of calories in 5.5 cups are 495.

4 0

4 years ago

Help me Solve 1/6 ÷ 2/6 please

pochemuha

$\frac{1}{6}$ ÷ $\frac{2}{6}$

First, apply this following rule: $a$ ÷ $\frac{b}{x} = a$ × $\frac{c}{b}$
$\frac{1}{6}$ × $\frac{6}{2}$
Second, apply this following rule: $\frac{a}{b}$ × $\frac{c}{d} = \frac{ac}{bd}$
$\frac{1x6}{6x2}$
Third, multiply 1 × 6 to get 6 and 6 × 2 to get 12.
$\frac{6}{12}$
Fourth, find the GCF of 6 and 12.
Factors of 6: 1, 2, 3, 6
Factors of 12: 1, 2, 3, 4, 6, 12
The GCF is 6.
Fifth, divide the numerator by the GCF.
$6$ ÷ $6 = 1$
Sixth, divide the denominator by the GCF.
$12$ ÷ $6 = 2$
Seventh, collect the new numerator and new denominator.
$\frac{1}{2}$

Answer as fraction: $\frac{1}{2}$
Answer as decimal: 0.5

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4 years ago

Solving by factoring

puteri [66]

Answer:

Step-by-step explanation:

6 0

3 years ago

Could you write 378972 with commas

horsena [70]

Yes, and it would be 378,972

Explanation:

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