A line has a slope of -2/3 and passes through the point (-3, 8). what is the equation of the line ?

Answer:

x=[tex]\sqrt{220}[/tex]

Step-by-step explanation:

Since this is a right angle triangle, and we have two lengths already found, we can use pythagoras to find x.

We know that  

a²+b²=c²

Where a, and b are the smaller lengths (the adjacent and opposite), and C is always the longest one (the hypotenuse).

In this case,

x=a

b=6

c=16

So to plug these into the equation, we get:

x²+6²=16²

To isolate x,

we get:

x²=16²-6²

x=[tex]\sqrt{16^2-6^2}[/tex]

[tex]x=\sqrt[]{220}[/tex]

_________

[tex] \: [/tex]

x² = 16² - 6²

x² = 256 - 36

x² = 220

x = √220

x ≈ 14.9cm

Answer:

y=-3.75x-2.25

Step-by-step explanation:

Step 1: Find the slope (m) using the Slope Formula, Y2-Y1/X2-X1

(-6)-(9)/(1)-(-3) = -15/4 = -3.75

Step 2: Find the Y-intercept (b) using the Slope Intercept Formula, y=mx+b

9=-3.75*(-3)+b

9=11.25+b

b=9-11.25

b=-2.25

Step 3: Plug in your slope (m) and Y-intercept (b) values into the Slope Intercept Formula, y=mx+b

y=-3.75x-2.25

Step 4: Plug your X values into the formula, you should get your Y values after solving

y=-3.75(-3)-2.25=11.25-2.25=9 (-3, 9)

y=-3.75(1)-2.25=-3.75-2.25=-6 (1, -6)

A. 112°

21x+5+37x+1=180

58x+6=180

-6

58x=174

÷58

X=3

37(3)+1

111+1

112

Answer:

16777216

It took a lot of space on the calculator

Answer:

112

Step-by-step explanation:

Answer:

y = -2x - 12

Step-by-step explanation:

since they are asking for a parallel line, the slope will be the same:

in this case:

-2

now, we are given a point that the line goes through: (-6,0)

x is -6, y is 0

knowing all of these things, solve it:

0 = -2*(-6) + b

0 = 12 + b

b = -12

the equation of a line is y = mx +b

so:

y = -2x - 12

Answer:

60%

Step-by-step explanation:

3/5 = 6/10 = 60%

Answer:

A. 60%

Step-by-step explanation:

3/5 =30/50=60/100

Answer:

26:24 or 24:26 that is the ratio

Answer:

What is the question?

Step-by-step explanation:

Answer:

answer is a,b,c

Step-by-step explanation:

Lá resposta de el pergutala é 2x+3

Answer: See attached image for graph

PQ: √50

QR: √18

PR: √68

Step-by-step explanation: We will use the 2D distance formula in order to get each side length. The distance formula is:

Thus, we just apply this formula for each side length.

Answer:

3 < X < 3√11

-3√11 < X < -3

Step-by-step explanation:

The solution consists out of two intervals, so it is unclear what you want calculated with max - min...

8/12 is your answer hope i could help

Step-by-step explanation:

You have $7,000 in your savings account gaining 4% interest per year. If you don't replace the $800 in the savings account

Answer:

D. 7.8

Step-by-step explanation:

Distance formula: [tex]\sqrt{(x_{2} - x_{1})^2 +( y_{2} - y_{1})^2 }[/tex]

Substituting          (-2 - 3)² + (-5 - 1)²

           Distance = [tex]\sqrt{(-5)^2 + (-6)^2}[/tex]

Distance = [tex]\sqrt{25 + 36}[/tex]

Distance = 7.8

Answer:

If there were 100 points possible, you earned 70.

Step-by-step explanation:

So 70% means 70 per cent which means 70 parts per 100 parts. So this means that out of the total 100 maximum possible points, you have earned 70 of them but did not earn 30

Answer:

1 hour

Step-by-step explanation:

am i right

Step-by-step explanation:

1. -3x+7x=18

    x(-3+7)=18

      x=[tex]\frac{18}{(-3+7)}[/tex]

2. 4x+7x=-5

    x(4+7)=-5

     x=[tex]\frac{-5}{(4+7)}[/tex]

I hope this helped, may be wrong but ive done it my way

Answer: 8.75

Step-by-step explanation:

575 divided by 3 equals 175. Divided by 20 equals 8.75. Probably rounds up to 9 but i dont know.

Answer:

-7

Step-by-step explanation:

-21.00/3.00

================================================

Explanation:

Let's start off converting the mixed number 12 & 1/4 to an improper fraction.

[tex]a \frac{b}{c} = \frac{a*c+b}{c}\\\\12 \frac{1}{4} = \frac{12*4+1}{4}\\\\12 \frac{1}{4} = \frac{49}{4}\\\\[/tex]

Do the same for the other mixed number 2 & 1/3.

[tex]a \frac{b}{c} = \frac{a*c+b}{c}\\\\2 \frac{1}{3} = \frac{2*3+1}{3}\\\\2 \frac{1}{3} = \frac{7}{3}\\\\[/tex]

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From here, we divide the two fractions. I converted them to improper fractions to make the division process easier.

[tex]\frac{49}{4} \div \frac{7}{3} = \frac{49}{4} \times \frac{3}{7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{49\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 7\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 3}{4}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{21}{4}\\\\[/tex]

The last step is to convert that result to a mixed number.

[tex]\frac{21}{4} = \frac{4*5+1}{4}\\\\\frac{21}{4} = \frac{4*5}{4}+\frac{1}{4}\\\\\frac{21}{4} = 4+\frac{1}{4}\\\\\frac{21}{4} = 5 \frac{1}{4}\\\\[/tex]

Note that 21/4 = 5.25 and 1/4 = 0.25 to help check the answer.

-----------------------

Therefore, she can make 5 cakes. The fractional portion 1/4 is ignored since we're only considering whole cakes rather than partial ones.

The required simplified value of the given expression is 210

As mentioned in the question,
To raise the fraction to its highest terms by supplying the missing numerator.7/8=x/240.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
according to the question,
7 / 8 = x / 240
x = 7/8 × 240
x = 7 × 30
x = 210

Thus, the required simplified value of the given expression is 210.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Step-by-step explanation:

here you go I hope my answer is correct goodbye

Answer:

i think you draw it

Step-by-step explanation:

it tells you the answer

Answer: I dont see anything....

Step-by-step explanation:

Answer: [tex]4\sqrt{5}[/tex]/9.0

Step-by-step explanation:

Simple way: Pythagorean Theorem

[tex]a^{2} +b^{2} =c^{2}[/tex]

C being hypotenuse. A and B are bases that are interchangeable.

In this question, you are missing the hypotenuse.

a= 8, b=4 c=?

[tex]8^{2}+4^{2}=c^{2}[/tex]

[tex]64+16=c^{2}[/tex]

To get rid of [tex]c^{2}[/tex]. Square both sides.

[tex]\sqrt{64+16} =\sqrt{c^{2} }[/tex]

[tex]\sqrt{80}=c[/tex]

Simplify [tex]\sqrt{80}[/tex]

[tex]\sqrt{4*4*5} =4\sqrt{5}[/tex]

or 9.0

Answer:

-19 degrees fahrenheit?? and -7 degrees celcius??

Step-by-step explanation:

Answer:

106,392 meters squared.

Step-by-step explanation:

Surface area of a rectangular prism or cuboid is given by:

SA = 2 (lw + wh + lh)

where:

· l is the length of the cuboid.

· w is the width of the cuboid.

· h is the length of the cuboid.

Here we have h = 398 m, l = w = 62 m because this is a square base.

So we get:

SA = 2 ( 398 · 62 + 62² + 398 · 62)

= 2 (24676 + 3844 + 24676)

= 2 · 53196

= 106392 m²