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3 years ago

Which equation represents the line that passes through the points (7, 8) and (3, -4_?

Mathematics

1 answer:

Oliga [24]3 years ago

5 0

Answer:

Step-by-step explanation:

(7, 8) and (3, -4)

y2 = -4, y1 = 8, x2 = 3 and x1 = 7

Slope m = {y2-y1}/{x2-x1}

m = {-4 - 8}/{3 - 7}

m = -12/-4

m = 3

And

y - y1 = m(x - x1)

y - 8 = 3(x - 7)

y - 8 = 3x - 21

y = 3x - 21 + 8

y = 3x - 13

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Which value of w makes 14=11+w/8 times 6 a true statement?

Vlad [161]

Answer: For the value of w=4, $14=11+\frac{w}{8}\times 6$ is a true statement.

Step-by-step explanation:

Since, the given expression,

$14=11+\frac{w}{8}\times 6$

= $14=11+\frac{6w}{8}$

= $14=11+\frac{3w}{4}$

= $3=\frac{3w}{4}$ ( by subtraction property of equality)

⇒ $=\frac{w}{4}$ ( By division property of equality)

⇒ w=4 ( By multiplication property of equality)

6 0

3 years ago

A waitress sold 11 ribeye steak dinners and 12 grilled salmon dinners, totaling $560.63 on a particular day. Another day she s

Eduardwww [97]

The cost of each ribeye steak dinner is $ 29 and cost of each grilled salmon dinner is $ 20

Solution:

Let "a" be the cost of each ribeye steak dinners

Let "b" be the cost of each grilled salmon dinners

A waitress sold 11 ribeye steak dinners and 12 grilled salmon dinners, totaling $560.63 on a particular day

Thus we frame a equation as:

11 x cost of each ribeye steak dinners + 12 x cost of each grilled salmon dinners = 560.63

$11 \times a + 12 \times b = 560.63$

11a + 12b = 560.63 -------- eqn 1

Another day she sold 16 ribeye steak dinners and 6 grilled salmon dinners, totaling $584.46

Thus we frame a equation as:

16 x cost of each ribeye steak dinners + 6 x cost of each grilled salmon dinners = 584.46

$16 \times a + 6 \times b = 584.46$

16a + 6b = 584.46 ------------ eqn 2

Let us solve eqn 1 and eqn 2

Multiply eqn 2 by 2

32a + 12b = 1168.92 ------- eqn 3

Subtract eqn 1 from eqn 3

32a + 12b = 1168.92

11a + 12b = 560.63

( - ) ----------------

21a = 1168.92 - 560.63

21a = 608.29

Divide both sides by 21

$a = 28.96 \approx 29$

Substitute a = 29 in eqn 1

11(29) + 12b = 560.63

319 + 12b = 560.63

12b = 560.63 - 319

12b = 214.63

Divide both sides by 12

$b = 20.13 \approx 20$

Thus cost of each ribeye steak dinner is $ 29 and cost of each grilled salmon dinner is $ 20

5 0

3 years ago

Como se hace -8n+7=31

velikii [3]

-8n+7=31
-8n+7-7=31-7
-8n=31-7
-8n=24
-8n÷(-8)=24÷(-8)
n=24÷(-8)
n=-24÷8
n=-3

8 0

4 years ago

What is the value of x?

Nonamiya [84]

X = 30 degrees.

See the attached image

7 0

4 years ago

Find the value of x Pls help

adelina 88 [10]

Answer:

Step-by-step explanation:

Both angles will be equal as they are opposite angles

➝13x=130

➝x=130/13

➝x=10

8 0

3 years ago