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sammy [17]
3 years ago
12

A line has a slope of -8 and a Y intercept of 5 what is the equation of the line in standard form

Mathematics
1 answer:
Airida [17]3 years ago
7 0

Answer:

8x + y = 5

Step-by-step explanation:

Start with the slope-intercept form y = mx + b.  The y-intercept is (0, 5).  Substituting -8 for m and 5 for b, we get:

y = mx + b => y = -8x + 5

Put this into "standard form" by adding 8x to both sides:

8x + y = 5

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Can you answer these questions please
tangare [24]

<u>4.</u> Since angles 1 and 2 are supplementary, this means they add up to 180 degrees. Make them add up to 180 in an equation and solve for a. Substitute a back into m∠2 to find your answer.

(11a + 19) + (6a - 9) = 180

Combine like terms.

17a + 10 = 180

Subtract 10 from both sides.

17a = 170

Divide both sides by 17 to isolate and solve for the variable a.

a = 10

Substitute 10 for a into m∠2.

6(10) - 9 ==> 60 - 9 = 51

The measure of angle 2 is 51 degrees.

______________________________________________________________

<u>5.</u> Since Ray BD bisects ∠ABC that means that both the formed angles are equal to each other, so make them equal to each other in an equation.

5y - 3 = 2y + 12

Add 3 to both sides.

5y = 2y + 15

Subtract 2y from both sides.

3y = 15

Divide both sides by 3 to isolate and solve for the variable y.

y = 5

5 0
3 years ago
The distance between the park is 1.7 meters how many meters is this?
hoa [83]

Answer:

1.7 meters?

Step-by-step explanation:

6 0
3 years ago
The sum of the first number cubed and the second number is 500 and the product is a maximum.
soldier1979 [14.2K]

We are given the following information:

the sum of the first number cubed and the second number is 500

their product is a maximum

We are looking for the 2 missing numbers.

To answer this, let's represent the two numbers as x and w.

From the given, we can form the following equation:

x^3+w=500

We can then express y as:

w=500-x^3

We can express their product as:

x(500-x^3)=500x-x^4

To find the maximum value of x, let's solve for the derivative of -x^4 + 500 x.

\begin{gathered} f(x)=-x^4+500x \\ f^{\prime}(x)=-4x^3+500 \end{gathered}

Then we solve for the value of x where f'(x) = 0.

\begin{gathered} -4x^3+500=0 \\ -4x^3=-500 \\ x^3=125 \\ x=5 \end{gathered}

Then we use x = 5 to solve for the second number, w.

\begin{gathered} w=500-x^3 \\ w=500-5^3 \\ w=500-125 \\ w=375 \end{gathered}

Therefore, the two numbers are 5 and 375.

3 0
1 year ago
three sets of a sum of a number and four are added to the sum of seven times the same number and thirteen
Marianna [84]

Answer:

Let x be the number.

Given the statement: Three sets of a sum of a number and four are added to the sum of seven times the same number and thirteen.

" sum of a number and four" translated to x + 4

"Three sets of a sum of a number and four" translated to 3(x+4)

"sum of seven times the same number and thirteen" translated to 7x + 13

then;

the expression for the given statement become;

3(x+4) + 7x + 13

Using distributive property: a\cdot (b+c) = a\cdot b + a\cdot c

3x +12 + 7x+ 13

Combine like terms;

10x + 25

Therefore, the simplified expression for Three sets of a sum of a number and four are added to the sum of seven times the same number and thirteen. is,  10x + 25

7 0
4 years ago
Read 2 more answers
3. (4 + 5) is how much more than 3•4 + 5 ?
ra1l [238]

(4 + 5) is greater than 3·4 + 5 by 8.

Step-by-step explanation:

  • Step 1: Value of (4 + 5) = 9
  • Step 2: Value of 3·4 + 5 = 12 + 5 = 17 (as per BODMAS rule)
  • Step 3: Find the difference between the two.

⇒ 17 - 9 = 8

3 0
3 years ago
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