Use the given information to write the equation of the line.
slope 2, y-intercept - 4

Answer:

The correct option is;

D(4, 4)

Step-by-step explanation:

The given coordinates of the points are, A(2, 3) B(8, 7), C(6, 1), therefore, the coordinates of the point D that will make CD perpendicular to AB will have a slope = -1/m, where, m = the slope of the line segment AB

The formula for finding the slope, m, of a segment, given the coordinates of two points on the straight line segment (x₁, y₁), (x₂, y₂)

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, for, the segment AB, we have;

m = (7 - 3)/(8 - 2) = 4/6 = 2/3

m = 2/3

Therefore, to make the segment AB perpendicular to the segment CD, the slope of the segment CD will be -1/m = -1/(2/3) = -3/2

The equation of the segment CD in point and slope form is therefore;

y - 1 = -3/2×(x - 6)

y - 1 = -3·x/2 + 9

The standard form of the equation of the segment CD is therefore;

y = -3·x/2 + 9 + 1 = -3·x/2 + 10

y =  -3·x/2 + 10

The point that satisfies the above equation is the point (4, 4) because;

4 =  -3 × 4/2 + 10

The correct option is therefore, D(4, 4).

Answer:

10 divided by 12 equals 0.833333333

Answer:

(-15, 0) --> x intercept

(0, 15) --> y intercept

Step-by-step explanation:

First, you need to find the equation of the line:

gradient equals 1 --> (6 - 11)/(-9 - (-4))

y = x + c

sub point (-9, 6)

6 = -9 + c

c = 6 + 9

c = 15

Equation of line: y = x + 15

x-intercept is when y = 0

0 = x + 15

x = -15 (that's the x-intercept)

(-15, 0)

y-intercept is when x = 0

y = 0 + 15

y = 15 (this is the y-intercept). The y-intercept is also the contant 'c'

(0, 15)

Answer:

24

Step-by-step explanation:

you would multiply 12 time 2

Answer: 33 shares

Step-by-step explanation:

Amount invested in the company = $41.25

Price per share = $1 1/4 = $1.25

To calculate the amount of shares that Martha invested in the company will be:

= Amount invested in the company/Price per share

= $41.25/$1.25

= 33 shares

Martha invested 33 shares in the company.

Answer:

no

Step-by-step explanation:

2.6*1.2=3.12

Answer: The answer is incorrect it's actually 3.12

Step-by-step explanation: The decimal was placed in the incorrect spot.

Answer:

12$

Step-by-step explanation:

2.4*5=$12

Answer:

4

Step-by-step explanation:

9x= 4x+20

5x=20

x=4

Answer:

No, there is no sequence to be followed here.

Step-by-step explanation:

Answer:

the answer is (A)

Step-by-step explanation:

a complementary angle is 90 degrees

(-1,4,1.5)

Solve by graphing, the lines intersect near the point.

Answer: (-1.4,1.5)

Step-by-step explanation:

Answer:

9.2*10^-7

Step-by-step explanation:

Move decimal until there is one number to the left.  The number of times moved will be the exponent.  If the decimal moves left the exponent is positive, if it moves left it is negative.

So 0.00000012=1.2*10^-7

1.2*10^-7 + 8*10^-7

9.2*10^-7

Answer:

1.36078

Step-by-step explanation:

I think its 15 ... because there are 12 good ones and 3 bad ones and if you add those it equals 15

Answer:

20 oranges

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Answer:

C) 11

Step-by-step explanation:

It would need to be more than 5....and that is the only one.

Answer:

The company needs 390 oz of filler.

Step-by-step explanation:

your welcome

Answer: 60 hours

Step-by-step explanation:

it takes 6 hours to read 30/300 or 1/10 of the book

you take 6 times 10 because you read 1/10 every 6 hours . making it be 60 hours

Answer:

5.88.........................

.

Answer:

The answer would be A.

Step-by-step explanation:

Slope Formula: y1-y2/x1-x2

So:

33+9/-3-4

42/-7

This gives a slope of -6.

Answer:

C

Step-by-step explanation:

Given

[tex]\frac{(x-1)(x+1)}{x+2}[/tex]

The denominator of the rational function cannot be zero as this would make it undefined.

Equating the denominator to zero and solving gives the value that x cannot be, that is

x + 2 = 0 ⇒ x = - 2 ← excluded value

Answer:

C. -2

Step-by-step explanation:

Any number divided by 0 is undefined. So, find the value of x that will make the denominator(x + 2)  equal to 0:

x + 2 = 0

Subtract 2 from both sides of the equation to find the value of x:

x = -2

The only value of x that could make the denominator 0 is x = -2.

Hope this helps :)

Answer:

a = - 3

Step-by-step explanation:

The equation has common factors x(x + 3) on both sides

For the 2 sides of the equation to be equal, then the factor

(x + a) = (x - 3) and by comparison

a = - 3

Answer:

1. 20

2. Segment SW equals 8

Step-by-step explanation:

Setup the equation 6x+5=8x and then solve for x. x comes out to be 5/2. The substitute that in for x and solve. 6(5/2)+5 and this equals 20, your solution.

Segment SW=8 because of the perpendicular bisector theorem. It states that if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints of that segment (i.e., equal length). This makes Segment SW=8

If you can please make my answer the brainliest that would be much appreciated. Thanks!

And gimme them $5

Answer:

C

Step-by-step explanation:

Plz mark brainliest!!!

Answer:

C. 10

Step-by-step explanation:

I just took the test on edmentum and got a 100%

A)  The equation that represents the cost of a pair of swim trunks is;

2(s - 3) + s = 79

B) The cost of a pair of swim trunks is; $28.33

Algebraic word problems are defined as questions that require translation of sentences to equations, and thereafter solving those equations.

Let the cost of one pair of swim trucks be s.

We are told that Each beach towel costs $3 less than a pair of swim trunks. Thus;

Cost of each beach trunk = (s - 3)

Jarvis bought 2 beach towels and 3 pairs of swim trunks at a retail store. Thus, we have;

2(s - 3) + s = 79

2s - 6 + s = 79

3s = 79 + 6

3s = 85

s = 85/3

s = $28.33

Read more about Algebra Word Problems at; https://brainly.com/question/28339921

#SPJ1

Answer:

k=0

Step-by-step explanation:

6(k+2)+1=13 first  distribute

6k+12+1=13 then combine like terms

6k+13=13   then subtract 13

    -13   -13

6k=0 then divide 6

/6    /6

k=0

Answer:

C

Step-by-step explanation:

The opposite of  negative 3.3 is positive 3.3 or just 3.3 so therefore the answer would be C as it is slightly ahead of 3 on the number line but not so far as to indicate anything larger.

Answer:

0.044 11/250

Decimal Fraction