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tamaranim1 [39]
2 years ago
6

Identify an equation in point slope form for the line perpendicular to

Mathematics
1 answer:
Vaselesa [24]2 years ago
3 0
Point slope form is y2-y1=m(x2-x1).

The slope m that is perpendicular to y=-4x-1 will be 1/4 (the opposite reciprocal). Then you can use (-2,7) as the x and y values to plug into the formula:

y-7=1/4(x+2) is the answer.
You might be interested in
In triangle ABC, line A.B.=CB Angle ABC equals 4X -3, and angle CAB equals X -3, what is angle ACB
Soloha48 [4]

Answer:

∠ACB = 28.5

Step-by-step explanation:

In triangle ABC,

angle CAB = x-3

angle ABC = 4X-3

It is also given that AB=CB

We know that if two sides of any triangle are equal then corresponding sides must also be equal.

Hence

angle ACB = angle CAB

angle ACB = x-3    {Given that angle CAB = x-3 }

We know that sum of all three angles of a triangle is 180 degree so let's add given angles

angle ACB + angle CAB + angle ABC = 180

(x-3) + (x-3) + (4x-3) = 180

x-3 + x-3 + 4x-3 = 180

6x-9 = 180

6x = 180+9

6x = 189

x = 189/9

x= 31.5

Now plug value of x into

angle ACB = x-3 = 31.5-3 = 28.5

Hence final answer is

∠ACB = 28.5


3 0
2 years ago
The average of 10 numbers is -5. A new number is added to the list making the average -6. What is the new number?
Shtirlitz [24]

Answer:

- 16

Step-by-step explanation:

Average is calculated as

average = \frac{total}{count}

Thus for the given 10 numbers we have

\frac{total}{10} = - 5 ( multiply both sides by 10 )

total = - 50

let the number added be x, then

\frac{total+x}{11} = - 6 ( multiply both sides by 11 )

total + x = - 66, that is

- 50 + x = - 66 ( add 50 to both sides )

x = - 16

The new number is - 16

4 0
3 years ago
A clothing company produced 600 items of clothing. Of those, 15% were jackets, 25% were dresses, and 15% were shoes. How many of
Volgvan

Answer:

270 items

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
78 ÷ 8 is equivalent to 78.00 ÷ 8. We can write zeros in the tenths place and hundredths place without changing the value. Use t
ahrayia [7]

Answer: 9.75

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
You don’t even have to give the answer just please explain
jenyasd209 [6]

Answer:

1/2

Step-by-step explanation:

remember that the formula for the slope of a line is

m=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

where m is the slope, and the x and y variables are the x-y coordinates of two points. Choose two points on the line:

Point 1 : (-1,3) and Point 2 : (1,4)

Plug in your values:

m=\frac{4-3}{1-(-1)}

m=\frac{1}{2} \\

So the slope of this line is 1/2 !

3 0
2 years ago
Read 2 more answers
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