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4 years ago

10

Explain how you could use the construction tool or a compass and straightedge to create a line segment that is twice as long.

1 answer:

ycow [4]4 years ago

3 0

Answer: Use a compass to measure the length of AB. Draw an arc from point B (or point A) with that distance. Extend line AB through that arc and label the intersection as point C. AC is twice the length of AB.

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What’s the x and y intercept of 8x+5y=-48

Anuta_ua [19.1K]

Step-by-step explanation:

$8x + 5y = - 48 \\ \\ at \: x = 0 \\ \\ 8 \times 0 + 5y = - 48 \\ \\ \therefore \: 5y = - 48 \\ \\ \therefore \: y = \frac{ - 48}{5} \\ \\ \therefore \: y - intercept = - 9.6 \\ \\ at \: y = 0 \\ \\ 8 x + 5 \times 0 = - 48 \\ \\ \therefore \:8x = - 48 \\ \\ \therefore \: x = \frac{ - 48}{8} \\ \\ \therefore \: x - intercept = -6 \\ \\$

4 0

4 years ago

Is 2(x+3)=5x+6-3x always true or never true?

egoroff_w [7]

Answer:

always true

Step-by-step explanation:

Distribute the left side

2(x + 3) = 2x + 6

Simplify the right side

5x + 6 - 3x ← collect like terms

= 2x + 6

Thus

left side = right side , so always true

8 0

3 years ago

At a charity fundraiser, adult tickets are sold for $12 each and children tickets are sold for $6 each. Write an algebraic expre

Annette [7]

Answer:

the answer is 2

Step-by-step explanation:

7 0

3 years ago

Students surveyed boys and girls separately to determine whether they wanted outdoor

vazorg [7]

Answer:

111 girls

Step-by-step explanation:

Given

Boys: Every 17 outdoor ≈ 20 indoor

Girls: 3:2 outdoor to indoor

First, we'll determine the ratio of outdoor to indoor for boys;

Recall that;

17 choose indoor while 20 choose outdoor;

The ratio of outdoor to indoor is;

20 : 17

Convert to fraction:

$\frac{20}{17}$

Let x represent number of boys that choose indoor when 85 boys chose outdoor;

The ratio of outdoor to indoor is;

x : 85

Convert to fraction

$\frac{x}{85}$

Equate both fractions

$\frac{20}{17} = \frac{x}{85}$

Multiply both sides by 85

$85 * \frac{20}{17} = \frac{x}{85} * 85$

$85 * \frac{20}{17} = x$

$\frac{1700}{17} = x$

$100 = x$

$x = 100$

This implies that when 85 chose outdoor, 100 chose indoor for boys;

Total = 100 + 85

Total = 185 boys surveyed

<em>Recall that the question says the same number of boys and girls were surveyed</em>

This implies that

Total Girls Surveyed = 185

For the girl ratio;

Outdoor to Indoor= 3:2

Number of girls that chose outdoor is as follows;

$Outdoor = \frac{3}{3 + 2} * Total$

$Outdoor = \frac{3}{3 + 2} * 185$

$Outdoor = \frac{3}{5} * 185$

$Outdoor = \frac{555}{5}$

$Outdoor = 111$

<em>Hence, the number of girls that chose outdoor is 111</em>

4 0

3 years ago

17. A glider lands 20 miles east and 6 miles south from where it took off. The result of the trip can

sergey [27]

I think the answer is D

6 0

3 years ago

Read 2 more answers