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2 years ago

Write an equation of the line that passes through the given point and is parallel

Mathematics

1 answer:

Semenov [28]2 years ago

3 0

So when an equation or set of equations are parallel, that means that the equations have the same slope.

for the given equation, it has a slope of 2.

so to find the equation of the other line, you substitute the coordinate and slope into the equation y=mx+b.

-2=2(3)+b

-2=6+b

-8=b

So your function that is parallel has a slope of 2 and a y intercept at -8 or (0,-8).

Then just substitute those values into the equation.

y=2x-8

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To convert 25 minutes to hours, you would use the ratio 1hour/60minutes?

Talja [164]

Idk but it's 0.416667

cuz 25/60 equals so

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2 years ago

What is the solution of sqrt (x-4)+5=2

worty [1.4K]

Answer:

x = 13

Step-by-step explanation:

<em>The equation is √(x+4) + 5 = 2</em>

√(x-4) = 2 - 5

√(x-4) = -3

x-4 = (-3)²

x-4 = 9

x = 9 + 4

x = 13

Therefore, the second option x = 13 is correct.

7 0

2 years ago

Evaluate -16 - 9x<br> When x= 3

vfiekz [6]

Answer:

-43

Step-by-step explanation:

first we need to do 9x witch would be 9x3 so 9x3 is 27 now its down to -16 - 27 and that is -43

8 0

2 years ago

What is the completely factored form of p4 – 16? (p – 2)(p – 2)(p 2)(p 2) (p – 2)(p – 2)(p – 2)(p – 2) (p minus 2) (p 2) (p squa

n200080 [17]

The completely factored form of the provided polynomial is (p -2) (p+ 2) (p² +4). The option 4 is the correct option.

<h3>What is polynomial?</h3>

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is a real number).

The polynomial equation given in the problem is,

$p^4 - 16$

Let the factor form of the polynomial is f(p). Thus,

$f(p)=p^4 - 16\\f(p)=p^4 - 2^4\\f(p)=(p^2)^2- (2^2)^2$

Using the formula of difference of squares, we get,

$f(p)=(p^2-4)(p^2+4)\\f(p)=(p^2-2^2)(p^2+4)\\f(p)=(p-2)(p+2)(p^2+4)$

Thus, the completely factored form of the provided polynomial is (p -2) (p+ 2) (p² +4). The option 4 is the correct option.

Learn more about polynomial here;

brainly.com/question/24380382

3 0

1 year ago

A group of students were given a spelling test the table shows their mark Mark: 6,7,8,9,10 frequency:5,4,7,10,4 a) work out the

____ [38]

Answer:

Step-by-step explanation:

From the information given,

Mark: 6,7,8,9,10

frequency:5,4,7,10,4

a) Range = highest mark - lowest mark

Range = 10 - 6 = 4

b) The number of students in the group is the sum of the frequency. Therefore,

Number of students = 5 + 4 + 7 + 10 + 4 = 30 students

c) Mean mark = (mark × frequency)/total frequency

[(6 × 5) + (7 × 4) + (8 × 7) + (9 × 10) + 10 × 4)]/ 30

Mean mark = (30 + 28 + 56 + 90 + 40)/30 = 244/30

Mean mark = 8.1

6 0

3 years ago