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m_a_m_a [10]
3 years ago
6

28 = -4(d − 79) + 100 I know how to do these, but I just don't want to risk my IXL percent going down... Thanks! (solve for d)

Mathematics
2 answers:
Deffense [45]3 years ago
8 0

Answer:

D=97

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

taurus [48]3 years ago
6 0

Answer:

Step-by-step explanation:

28=-4 (d-79)+100

28=-4d+316+100

4d=316+100-28

4d=388 (divide both side by 4)

d=97

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What is the equation of the line that passes through the point (-6,1) and has a slope of 1/6
anyanavicka [17]

Answer:y=1/6x+2

Step-by-step explanation:

Y=1/6x+b

Plug in (-6,1)

1=1/6(-6)+b

1=-1+b

Add 1 to both sides

1+1=b

2=b

Y=1/6x+2

8 0
2 years ago
Find the distance from point A(−9,−3) to the line y = x−6. Round your answer to the nearest tenth.
Vladimir79 [104]

The distance from point A(−9,−3) to the line y = x−6 is 8.5 units

<u>What is slope ?</u>

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

step 1

Find the slope of the perpendicular line to the given line

y=x-6 ---> given line

The slope is m=1

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

m1*m2 = -1

we have

m1=1

substitute

(1)*m2 = -1

so

m2 = -1

step 2

Find the equation of the perpendicular line to the given line

The equation in point slope form is

y-y1=m(x-x1)

we have

m=-1

(x1,y1)=(−9,−3)

substitute

y+3=-1(x+9)--> equation in point slope form

y+3= -x-9

y= -x-12---> equation in slope intercept form

step 3

Find the intersection point between the given line and the perpendicular line to the given line

we have the system of equations

y = x−6.

y= -x-12

Solve the system by graphing

The intersection point is (-3,-9)

see the attached figure

step 4

we know that

The distance between the point A and the point (-3,-9) is the same that the distance between point A and the line y=x-6

the formula to calculate the distance between two points is equal to

d=√[(y2-y1)² + (x2-x1)²]

substitute the values

d=√[(-9+3)² + (-3+9)²]

d= √72 units

simplify

d= 6√2 = 8.5 units

To learn more about the slope from the given link

brainly.com/question/16949303

#SPJ1

8 0
9 months ago
The difference between the two numbers is 48. The ratio of the two numbers is 7:3. What are the two numbers?
OlgaM077 [116]

Let the bigger no. be X and the smaller no. be Y

X-Y=48

7-3=4

48÷4=12

X=12×7=84

Y=12×3=36

6 0
2 years ago
Read 2 more answers
After hiking at the top of the mountain, Mark starts to descend at the rate of 150 ft per hour. What is his vertical change afte
Gnom [1K]

Answer:

225 feet

Step-by-step explanation:

That would be 150 * 1.5

= 225 ft


7 0
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Lubov Fominskaja [6]

Answer:

A

Step-by-step explanation:

6 0
2 years ago
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