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2 years ago

What is the equation of the line that passes through the point (-6,-6)(−6,−6) and has a slope of \frac{2}{3} 3 2 ?

Mathematics

1 answer:

xz_007 [3.2K]2 years ago

3 0

Answer:

the first on is 144 the secnd one is 1

Step-by-step explanation:

i think that's write.

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What is 30/45 simplest form

Marysya12 [62]

$\dfrac{30}{45}=\dfrac{30:15}{45:15}=\dfrac{2}{3}$

5 0

3 years ago

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!

3 0

3 years ago

Coach Jamison wants to celebrate the final win of the school's baseball season with a trip to the local fast food place. The tea

PIT_PIT [208]

So we have 2 variables here: tacos and orders of nachos.

When we translate the paragraphs into equation: $28t + 27n = 114.80 \\ \\ 12t + 3n = 37.20$

Now, in this situation we can make use the elimination method by converting 3n to -27n.

$- 108t - 27n = - 334.8$

Add both equations: $28t + 27n - 108t - 27n = 114.8 - 334.8 \\ \\ - 80t = - 220 \\ \\ t = 2.75$

So we find that one taco costs $2.75.

We can plug this into any of the first two equations to find n: $12 \times 2.75 + 3n = 37.2 \\ \\ 33 + 3n = 37.2 \\ \\ 3n = 4.2 \\ \\ n = 1.4$

So one order of nachos cost $1.40.

4 0

3 years ago

A box contains five slips of paper. Each slip has one of the number 4, 6, 7, 8, or 9 written on it and all numbers are used. The

max2010maxim [7]

A. If the player chooses 6, 4, and 8 each time, they have 3/5 chances to win.

6+4= 10

6+8= 14

8+4= 12

These are all even so as long as they get one of these combinations they will win

b. All three combinations still work when multiplied

6*4=24
6*8=48
8*4= 32

6 0

3 years ago

Which complex number lies below the real axis and to the right of the imaginary axis:

frosja888 [35]

3-i.........................................

6 0

3 years ago

What is the equation of the line that passes through the point (-6,-6)(−6,−6) and has a slope of \frac{2}{3} 3 2 ​ ?

What is the equation of the line that passes through the point (-6,-6)(−6,−6) and has a slope of \frac{2}{3} 3 2 ?