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3 years ago

What rule would you allow to test weather (x,y) is on line l

Mathematics

1 answer:

n200080 [17]3 years ago

8 0

Answer:

Step-by-step explanation:

If a point (x, y) lies on a straight line, coordinates of the point will satisfy the equation.

Slope of a line passing through two points C(4, 5) and D(8, 10),

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

m = $\frac{10-5}{8-4}$

m = $\frac{5}{4}$

Equation of the line passing through C(4, 5) and slope m = $\frac{5}{4}$

y - y' = m(x - x')

y - 5 = $\frac{5}{4}(x-4)$

y = $\frac{5}{4}x-5+5$

y = $\frac{5}{4}x$

If point B(4, 0) lies on the line CD,

0 = $\frac{5}{4}(4)$

0 = 5

Which is not true.

Therefore, point B doesn't lie on line CD.

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What is the exact value of cotangent (StartFraction 3 pi Over 4 EndFraction)? –1 Negative StartRoot 2 EndRoot 1 StartRoot 2 EndR

timurjin [86]

1 negative startroot 2 end root 1 start root 2 end root

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2 years ago

Consider the following operations on the number 8.82 x 10^-2. Without using a calculator, decide which would give a significantl

Ksenya-84 [330]

Correct question is;

Consider the following operations on the number 8.85 x 10^(-2). Without using a calculator, decide which would give a significantly smaller value than 8.85 x 10^(-2), which would give a significantly larger value, or which would give essentially the same value.

A) 8.85 × 10^(-2) + 6.69 × 10^(5)

B) 8.85 x 10^(-2) - 6.69 x 10^(5)

C) 8.85 x 10^(-2) x 6.69 x 10^(5)

D) 8.85 × 10^(-2) ÷ 6.69 × 10^(5)

Answer:

Option A & B yield essentially the same value.

Option C yields a significantly smaller value

Option D yields a significantly larger value

Step-by-step explanation:

Since given value for the operations is in 10^(-2) indices, then let's convert the operations numbers from 10^(5) indices to 10^(-2).

Thus;

6.69 × 10^(5) = (6.69 × 10^(-7)) × 10^(-2)

Thus;

A) 8.85 × 10^(-2) + 6.69 × 10^(5) is now;

8.85 × 10^(-2) + ((6.69 × 10^(-7)) × 10^(-2))

This gives;

[8.85 + (6.69 × 10^(-7))] × 10^(-2)

The 10^(-7) indices indicates that the initial value of 8.85 × 10^(-2) would not change much and would essentially be the same

B) 8.85 x 10^(-2) - 6.69 x 10^(5) is now;

8.85 × 10^(-2) - ((6.69 × 10^(-7)) × 10^(-2))

This gives;

[8.85 - (6.69 × 10^(-7))] × 10^(-2)

Again the 10^(-7) indices indicates that the initial value of 8.85 × 10^(-2) would not change much and would essentially be the same.

C) 8.85 x 10^(-2) x 6.69 x 10^(5) is now;

(8.85 × 10^(-2)) × ((6.69 × 10^(-7)) × 10^(-2))

This gives;

[8.85 × (6.69 × 10^(-7))] × 10^(-2)

When we multiply 8.85 by 6.69 × 10^(-7), the value gotten will be way lower than the initial value of 8.85.

Thus,this operation will give a significantly smaller value.

D) (8.85 × 10-2) ÷ (6.69 × 10^5) is now;

(8.85 × 10^(-2)) ÷ ((6.69 × 10^(-7)) × 10^(-2))

This gives;

[8.85 ÷ (6.69 × 10^(-7))] × 10^(-2)

When we carry out the operation:

8.85 ÷ (6.69 × 10^(-7)), it is essentially equal to (8.85 × 10^(7))/6.69.

This means that the new value would be significantly larger than the initial value of 8.85.

Thus,this operation yields a significantly larger value.

4 0

3 years ago

Algebra 1

zhannawk [14.2K]

Answer:

The actual wide of the lawn is 24 meters

Step-by-step explanation:

we know that

The scale drawing is

$\frac{2}{1}\frac{mm}{m}$

using proportion

Find out how wide is the actual lawn if the lawn is 48 millimeters in the drawing

Let

x -----> the actual wide of the lawn

$\frac{2}{1}\frac{mm}{m}=\frac{48}{x}\frac{mm}{m}\\\\x=48/2\\\\x=24\ m$

therefore

The actual wide of the lawn is 24 meters

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3 years ago

Choose the best description of the curve of y = a sin x for a < 0, starting at the origin and moving in the positive x direct

Sedaia [141]

Answer: Zero, minimum, Zero, Maximum, Zero

Step-by-step explanation:

That’s the answer in Edge

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2 years ago

Sally's summer punch recipe is a combination of lemonade and fruit punch. Sally uses 6 cups of lemonade for every 8 cups of frui

disa [49]

Answer:

August made the recipe using the correct ratios

Step-by-step explanation:

we know that

Sally uses 6 cups of lemonade for every 8 cups of fruit punch

using proportion

Find out the number of cups of fruit punch for 15 cups of lemonade

Let

x ----> the cups of fruit punch

$\frac{6}{8}=\frac{15}{x}\\ \\x=8*15/6\\ \\x= 20\ cups\ fruit\ punch$

The total cups of liquid is the sum of the cups of lemonade plus the cups of fruit punch

$15+20=35\ cups$

therefore

August made the recipe using the correct ratios

4 0

3 years ago