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Lilit [14]
3 years ago
8

Given the equation Y -4 equals three force X +8 in point slope form, identify the equation of the same line in standard form

Mathematics
1 answer:
Genrish500 [490]3 years ago
4 0

Answer:

3x - y = -28

Step-by-step explanation:

Given the equation y-4 = 3(x+8), distribute and simplify to get the Standard Form.

y-4 = 3(x+8)

y - 4 = 3x + 24

y = 3x + 28

-3x + y = 28

Standard form does not allow the coefficient of x to be negative so multiply the equation by -1.

3x - y = -28

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Find the value x.<br> Need help....thank you
nikklg [1K]

Step-by-step explanation:

It is parallel to the third side and has a length equal to half the length of the third side.

so

x= 34/2= 17

x= 17

6 0
3 years ago
answer to #10 and #13. can’t figure out how to use interval notation to write domain and range for graphs.
Lyrx [107]
Interval notation is used to write a set of real numbers from one value to another value.
On the left, you start with left parenthesis or left bracket.
Then you follow by two numbers separated by a comma.
You then finish with a right parenthesis or right bracket.
To include a number, use a square bracket.
To exclude a number use parenthesis.
To write the set of numbers, you need to list the smallest number in the set followed by the largest number in the set. An interval is always stated with two numbers, from the smallest in the set to the largest in the set. The numbers are always separated by a comma.

Examples:

1) All numbers from 6 to 10, including 6 and 10.
Algebra: 6 <= x <= 10
Interval: [6, 10]
Notice brackets since both 6 and 10 are included in this interval.

2) All number from 5 to 20, including 5 but not including 20.
Algebra 5 <= x < 20
Interval: [5, 20)
Bracket with 5 means include 5. Parenthesis with 20 means 20 is not included.

3) All numbers greater than or equal to 7.
Algebra: x >= 7
Interval: [7, ∞)
The 7 has a bracket because it is included. Infinity always has parenthesis.
With the infinity symbol, always use parenthesis, not square bracket.

4) All numbers less than -5.
Algebra: x < - 5
Interval: (-∞, 5)

Now for your problems.

10.
This is a line. Both the domain and range all all real numbers.
That means the interval is from negative infinity to positive infinity.
(-∞, ∞)
Both the domain and range are that same interval, all real numbers, from negative infinity to positive infinity.

13.
The domain is all real numbers as you can see the x-coordinates extend left forever and right forever. The domain is the same interval as the domain and range of problem 10.

The range is zero and all positive numbers.
You can think of it a all values of y such that y is greater than or equal to zero. Notice that zero is included in the interval.

[0, ∞)

Since zero is included, we use a left bracket, not left parenthesis.
With infinity, we alyways use parentheses, not brackets.
8 0
3 years ago
A gallon of stain is enough to cover 200 square feet of decking. Bradley has two areas of decking he would like to cover with st
Pani-rosa [81]

The expression that we need to get is:

N = \frac{(23)*(10.4) + (10.5)*(7.2)}{200}

So the correct option is the second one.

<h3>Which expression gives the number of gallons of stain Bradley will need?</h3>

We know that 1 gallon is enough to cover 200 ft².

We have two rectangular areas, one of:

23 feet by 10.4 feet, and other of 10.5 feet by 7.2 feet.

Then the total area is:

A = (23 ft)*(10.4 ft) + (10.5ft)*(7.2 ft)

The number of gallons needed is given by the quotient between the area that we want to cover, and the area that covers one gallon, so the expression is:

N = \frac{(23ft)*(10.4ft) + (10.5ft)*(7.2ft)}{200ft^2} \\\\N = \frac{(23)*(10.4) + (10.5)*(7.2)}{200}

So the corerect option is the second one.

If you want to learn more about algebraic expressions:

brainly.com/question/4344214

#SPJ1

7 0
2 years ago
Solve the equation by completing the square. Round to the nearest tenth, if necessary. Simplify your solutions and enter them fr
Slav-nsk [51]

Answer:

-1.1, 6.1

Step-by-step explanation:

-2X^2+10X+14=0

(-2X^2+10X+14)/-2=0

X^2-5X-7=0

Then use the quadratic formula because you can't factor

Fill in the equations and solve. One should have the plus and the other should have the minus and that's how you get the 2 different answers.

A=1

B=-5

C=-7

4 0
2 years ago
fritz wrote a set of related facts for the array below.which equation is not intended in the set of related facts for this array
oksian1 [2.3K]
Do you have the equation choices?
7 0
3 years ago
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