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skad [1K]
3 years ago
6

1

Mathematics
1 answer:
Mama L [17]3 years ago
7 0
Hole? It depends how big it is. Since there is no hole being depicted in this question, the answer is inexcusably 2ft
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Write the equation in slope-intercept form through the point (-4, -7) and is perpendicular to the line y = -(7/4)x + 4 and graph
Scilla [17]

You have to write the equation for a line that crosses the point (-4, -7) and is perpendicular to the line

y=-\frac{7}{4}x+4

When you have to determine a line that is perpendicular to a known line, you have to keep in mind that the slope of the perpendicular line will be the negative inverse of the first one.

If for exampla you have two lines, the first one being:

y_1=mx+b

And the second one, that is perpedicular to the one above:

y_2=nx+c

The slope of the second one is the negative inverse of the first one:

n=-\frac{1}{m}

The slope of the given line y=-7/4+4 is m=-7/4

So the slope of the perpendicular line has to ve the inverse negative of -7/4

\begin{gathered} n=-(-\frac{4}{7}) \\ n=\frac{4}{7} \end{gathered}

Considering it has to pass through the point (-4,-7) and that we already determined its slope, you can unse the point slope formula to determine the equation of the perpendicular line:

y-y_1=m(x-x_1)

replace with the coordinates of the point and the slope and calculate:

\begin{gathered} y-(-7)=\frac{4}{7}(x-(-4)) \\ y+7=\frac{4}{7}(x+4) \\ y+7=\frac{4}{7}x+\frac{16}{7} \end{gathered}

Subtract 7 to both sides of the equation to write it in slope-intercept form:

\begin{gathered} y+7-7=\frac{4}{7}x+\frac{16}{7}-7 \\ y=\frac{4}{7}x-\frac{33}{7} \end{gathered}

Now you can graph both lines

8 0
1 year ago
What is 1042 divided by 45?
Daniel [21]
1042 / 45 
=23.15

You should be able to do that with a calculator though.
4 0
2 years ago
Read 2 more answers
One serving of pasta contains 210 calories. What percent of a 2000 calorie diet is contained in one serving of pasta??
lesya [120]
The answer is 9.5% by simply diving 2000/210
4 0
3 years ago
Please help 9/5a+12=5
vova2212 [387]
A = -35/9 is the answer
8 0
3 years ago
If it takes Charlie 45 minutes walking at 2.5 km/hr to get to the chocolate factory and it takes Willy Wonka 15 minutes walking
Mrac [35]

Answer:

Willy Wonka

Step-by-step explanation:

Given data

it takes Charlie 45 minutes walking at 2.5 km/hr

speed = distance /time

distance= speed*time

distance= 2.5*45

distance= 112.5 km

it takes Willy Wonka 15 minutes walking at 3.5 km/hr

distance= speed*time

distance= 3.5*15

distance= 52.5 km

Hence Willy Wonka stays closer

7 0
2 years ago
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