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3 years ago

Find the equation of a line that is perpendicular to x+y=8 and passes through the point (8, 10).

Mathematics

2 answers:

ArbitrLikvidat [17]3 years ago

6 0

Answer:

Y = -x + 2

Step-by-step explanation:

y = -x + 8

y = 1x + b

10 = 8 + b

b = 2

VladimirAG [237]3 years ago

5 0

Answer:

y-y1=m(x-x1)

y-10=8(x-8)

y-10=8x-64

y-10+64-8x

y+54-8x

y-8x+54

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2. Four less than six times a number is 32. Write and solve an equation.

zhenek [66]

Answer:

6x - 4 = 32. The variable (times a number) is equal to 6.

Step-by-step explanation:

So this equation is basically asking you to formulate an equation using only the words given. For this equation, let's use a variable in place of the part where it says "times a number." When a question says that phrase, that means that they are telling you to use a variable in place of a mystery number. A variable is a letter in place of a mystery number. Knowing this, let's now solve the equation. We will use the variable x in place of our mystery number.

Four less than 6 times a number: 6x - 4 _ __.

Now we can add the equal sign and the 32: 6x - 4 = 32.

We can now solve. Add 4 to both sides of the equation to cancel out the -4:

6x - 4 = 32

6x = 36

Now we divide 6 into both sides of the equation to single out the x.

6 6

36/6 = 6, so:

x = 6

I hope that this helps.

8 0

2 years ago

Which expression is equal to the example?

Aloiza [94]

$1-(cosx)^4$ value is $2sin^4-sin^4x$ . Correct option is D) $2sin^4-sin^4x$ .

<u>Step-by-step explanation:</u>

Here we have , expression to evaluate:

$1-(cosx)^4$

⇒ $1-((cosx)^2)^2$

⇒ $1-(1-(sinx)^2)^2$

We know that , $sin^2x = 1-cos^2x$ , putting value in equation $1-(1-(sinx)^2)^2$

⇒ $1-(1+sin^4x-2sin^4)$

⇒ $1-1-sin^4x+2sin^4$

⇒ $-sin^4x+2sin^4$

⇒ $2sin^4-sin^4x$

Therefore , $1-(cosx)^4$ value is $2sin^4-sin^4x$ . Correct option is D) $2sin^4-sin^4x$

4 0

3 years ago

What is the sum of the lengths, in centimeters, of the two legs of a 30-60-90 right triangle, if the length of the hypotenuse is

Nesterboy [21]

The sum of the lengths of two legs of the 30°-60°-90° right triangle is 6.69 centimeters. Using the ratio of sides for the 30°-60°-90° triangle, the sum is calculated.

<h3>What is the ratio of sides for the 30°-60°-90° triangle?</h3>

The ratio for the 30°-60°-90° triangle is 1:√3:2 or x:x√3:2x

where x corresponds to the length opposite the 30° angle and x√3 is opposite of the 60° angle and 2x is opposite to the 90° angle.

<h3 /><h3>Calculation:</h3>

It is given that the triangle is a right triangle with angles 30°-60°-90°

For such a triangle, the ratio of side lengths is x: x $\sqrt{3}$ :2x

we have the length of the hypotenuse is $2\sqrt{6}$

So, 2x = $2\sqrt{6}$

⇒ x = $\sqrt{6}$

So,

the other length of the other leg is x√3 = √6 × √3 = 3 √2

Then, the sum of these two legs = √6 + 3√2 = 6.69 centimeters.

Learn more about the ratio of sides of a 30°-60°-90° triangle here:

brainly.com/question/6695000

#SPJ4

6 0

2 years ago

Find the volume of the triangular prism 11mi 10mi 8mi 6mi<br><br> 20 points and marked as brainliest

Nady [450]

Don’t trust the link sir\miss

7 0

3 years ago

A population with a mean of 7 has a sum of 42. how many scores are in the population

SVEN [57.7K]

Mean = sum/N
7 = 42/N
N = 42/7 . . . . . multiply by N/7
N = 6

There are 6 scores in the population

4 0

3 years ago