What is the equation of the line in slope-intercept form

Answer:

x = 14[tex]\sqrt{2}[/tex]

y = 14

z= 14[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.

Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that x will be the same as its respective leg, 14[tex]\sqrt{2}[/tex]

Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.

Since y is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, y is 14. z is then 14[tex]\sqrt{3}[/tex] using either Pythagorean Theorem or special right triangle properties for 30-60-90.

Answer:

you would see which bank has a good business and have loyal customers and which one is giving you a better offer

Step-by-step explanation:

HOPE THIS HELPED!

Answer:

e.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

6-6=0 so when you multiply s by 0 its 0

Answer:

                                                          _

just did the test and got it right its /x + 2

Step-by-step explanation:

just did the test i cant make the simble though but the right answer is the one where the line is only above the x oh wait actually i see your questions know my delete key broke soooo its the 2nd option

Answer: x = 250

Step-by-step explanation:

-17 + x/5 = 33

+17 on each side to get rid of the 17

x/5 = 50

Multiply each side by 5 to cancle out the 5 and isolate the variable

x = 250

Answer:

105

Step-by-step explanation:

all angles inside a triangle add up to equal 180, the inside angle at R is 75 degrees, the TP line is obviously a 180 degree angle, because it's just a straight line, so you subtract 75 from 180 to get 105

hope this helps :)

Answer:

−4x3+6x2−x

Step-by-step explanation:

(−x)(4x2−6x+1)

=(−x)(4x2+−6x+1)

=(−x)(4x2)+(−x)(−6x)+(−x)(1)

=−4x3+6x2−x

Given:

Violinists : Cellists = 7:3.

Number of violinists in the school orchestra = 21

To find:

The combined number of cellists and violinists.

Solution:

Let the number of violinists and cellists in the school orchestra are 7x and 3x respectively.

Then, combined number of cellists and violinists is

[tex]\text{Combined number of cellists and violinists}=7x+3x[/tex]

[tex]\text{Combined number of cellists and violinists}=10x[/tex]      ...(i)

Number of violinists in the school orchestra = 21

[tex]7x=21[/tex]

Divide both sides by 7.

[tex]x=3[/tex]

Now, the combined number of cellists and violinists is

[tex]\text{Combined number of cellists and violinists}=10(3)[/tex]    [Using (i)]

[tex]\text{Combined number of cellists and violinists}=30[/tex]

Therefore, the combined number of cellists and violinists is 30.

Answer:

63

Step-by-step explanation:

7(15-4)

7(9)

63

Answer:

8 kilometers

Step-by-step explanation:

Since 5 is half of 10, then do 16/2 to find how many kilometers.

Answer:

8

Step-by-step explanation:

16 kilometres in 10 miles (divide by 10 to find 1)

  1.6km                         1 mile

   8(times1.6 by 5)                                   5 miles

please mark as brainliest!!!

Answer:

b

Step-by-step explanation:

Answer:

n/12 = 20

Step-by-step explanation:

quotient is the answer of dividing

so

n/12 = 20

Answer:

slope= -1/5

y-intercept=7

Step-by-step explanation:

y=mx+b is a linear equation

m=slope

b=y-intercept

Answer:

Step-by-step explanation:

the ration of the 2 figures are 4/3 from the larger to the smaller one

this means that 4/3*6=8

x-1=8

x=9

choice c

Answer:

D) infinitely many solutions

Step-by-step explanation:

5 ( x-3 ) - 3x = 8x - 15 - 6x

5x - 3x - 15 = 8x - 6x - 15

2x - 15 = 2x - 15

2x = 2x

Since, equations of both lines are same. Therefore, there are infinitely many solutions.

Answer:

D

Step-by-step explanation:

Given

5(x - 3) - 3x = 8x - 15 - 6x

5x - 15 - 3x = 2x - 15

2x - 15 = 2x - 15

Since both sides are the same then any real value of x will be a solution.

That is there are infinitely many solutions

Answer:

(-2,5)

Step-by-step explanation:

Answer:

A. Translation, Translation

Step-by-step explanation:

The pre-image was translated 1 unit up then it was translated 4 unit to the right.

Answer:

Standard Deviation (cont’d)Weights(pounds):110 120 130 140 150 150 160 170 180 190Deviation scores(x) forM = 150:-40 -30 -20 -10 0 0 10 20 30 40 Squared deviation scores(x2):1600 900 400 100 0 0 100 400 900 1600Sum of squared deviation scores:1600+900+400+100+0+0+100+400+900+1600 = 6000SD= √(6000/(N-1) = SD= √(6000/(9) = 25.82Standard Deviation Interpretation•Provides a “standard”—the SDindicates the average amount of deviation of scoresfrom the mean•Tells you how wrong, on average, the mean is•An SDprovides valuable information when the distribution is normal:–There are approximately three SDsabove and below the meanin a normal distribution•In a normal distribution, a fixed percentage of cases lie within certain distances from themeanSDs and Individual Scores•A person who scores one SDbelow the mean has a higher score than 16% of the cases (2.3% + 13.6%)•A person who scores one SDabove the mean has a higher score than 84% of the cases (50.0% + 34.1%)Example: Midterm marks:

Answer:

Step-by-step explanation:

36. (4,1)

x-axis(4,-1)

y-axis(-4,1)

37.(-2,3)

x-axis(2,-3)

y-axis(-2,3)

38.(2,-5)

x-axis(-2,5)

y-axis(2,-5)

39.(-3.5, -2.5)

x-axis(-3.5,2.5)

y-axis(3.5,-2.5)

Please correct me I am wrong

Here is the y-axis formula (-x,y)

Here is the x-axis formula(x,-y)

Answer:

b = 5.2

c = 3.5

Step-by-step explanation:

By 45°- 45° - 90° triangle theorem:

[tex]c = \frac{1}{ \sqrt{2} } \times 5 \\ \\ c = \frac{1}{ 2} \times 5 \sqrt{2} \\ \\ c = 2.5 \times 1.414\\ \\ c = 3.535 \\ \\ c \approx \: 3.5[/tex]

By 30°- 60° - 90° triangle theorem:

[tex] b = \frac{ \sqrt{3} }{2} \times (2 \times 3) \\ \\ b = 3 \sqrt{3} \\ \\ b = 3 \times 1.732 \\ \\ b = 5.196 \\ \\ b \approx 5.2[/tex]

Answer:

64

Step-by-step explanation:

Answer 6

Step-by-step explanation:

I found the answer on calculator

Answer:

x > -1

Step-by-step explanation:

-3x + 15 < 18

Subtract 15 from each side

-3x + 15-15 < 18-15

-3x < 3

Divide each side by -3, remembering to flip the inequality

-3x/-3 > 3/-3

x > -1

Answer:

9:120 but if simplified 1:20

Step-by-step explanation:

I hope this helps

Answer:

1683 / 383 = 4.39 or approx 4.4

Answer:

4.39425587467 or 4 remainder 151.

Step-by-step explanation:

Long division.

Answer:

the reasoning for 1 2 and 3 are given and then the statement for 4 is triangle abc = triangle cde and its reasoning is sss theorem (side-side-side)

Step-by-step explanation:

1, 2 and 3 are basically given and then 4 is SSS Theorem since all three sides of the first triangle are equal to all three sides of the second triangle