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3 years ago

Any help would be great

Mathematics

1 answer:

nadya68 [22]3 years ago

8 0

Answer:

Step-by-step explanation:

38=10+13+c

c=38-10-13=15

Hope this helps!

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What is the equation of the following line written in slope-intercept form?

adelina 88 [10]

Answer:

y = 5x

Step-by-step explanation:

The y intercept is 0 since it crosses the y axis at 0

The slope is rise over run

From (0,0) we go up 5 and to the right 1

5/1 = 5

Slope = 5

The slope intercept equation is

y = mx+b where m is the slope and b is the y intercept

y = 5x+0

y = 5x

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3 years ago

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This question is from the similarity chapter. It would be really kind of you if you would answer this question.

katen-ka-za [31]

Answer:

a) 1650 m

b) 1677.05 m

Step-by-step explanation:

Hi there!

1) Determine what is required for the answers

For part A, we're asked for solve for the horizontal distance in which the road will rise 300 m. In other words, we're solving for the distance from point A to point C, point C being the third vertex of the triangle.

For part B, we're asked to solve for the length of the road, or the length of AB.

2) Prove similarity

In the diagram, we can see that there are two similar triangles: Triangle AXY and ABC (please refer to the image attached).

How do we know they're similar?

Angles AYX and ACB are corresponding and they both measure 90 degrees
Both triangles share angle A

Therefore, the two triangles are similar because of AA~ (angle-angle similarity).

3) Solve for part A

Recall that we need to find the length of AC.

First, set up a proportion. XY corresponds to BC and AY corresponds to AC:

$\frac{XY}{BC}=\frac{AY}{AC}$

Plug in known values

$\frac{2}{300}=\frac{11}{AC}$

Cross-multiply

$2AC=11*300\\2AC=3300\\AC=1650$

Therefore, the road will rise 300 m over a horizontal distance of 1650 m.

4) Solve for part B

To find the length of AB, we can use the Pythagorean theorem:

$a^2+b^2=c^2$ where c is the hypotenuse of a right triangle and a and b are the other sides

Plug in 300 and 1650 as the legs (we are solving for the longest side)

$300^2+1650^2=c^2\\300^2+1650^2=c^2\\2812500=c^2\\1677.05=c$

Therefore, the length of the road is approximately 1677.05 m.

I hope this helps!

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3 years ago

What is the correct domain for a log function? A=(-∞,0] B=[0,∞) C=(-∞,0) D=(0,∞)

masha68 [24]

$f(x)=\log(x)\\\\Domain:\\\\x > 0\to x\in(0,\ \infty)\\\\Answer:\ \boxed{D=(0,\ \infty)}$

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2 years ago

One number is 1/4 of another number. The sum of the two numbers is 5. Find the two numbers. Use a comma to separate your answer

masha68 [24]

Answer: 1, 4

Step-by-step explanation:

Number #1 = x
Number #2 = $\frac{1}{4} x$

$\frac{1}{4} x+x=5\\\\\frac{1}{4} x+\frac{4}{4} x=5\\\\\frac{5}{4} x=5\\\\5x=4*5\\5x=20\\x=4$

Number #1 = x = 4
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sveticcg [70]

Step-by-step explanation:

you would do 3 ÷ .99 and then when you get the answer from that you would multiply it by 5.

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