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Oksi-84 [34.3K]
3 years ago
10

Write the equation of a line that passes through (-1, -2) and has a slope of 2 in point-slope form.

Mathematics
1 answer:
Vesna [10]3 years ago
8 0

Step-by-step explanation:

Equation of straight line: y=mx+b

Given slope=2, hence m=2

y=2x+b

Replace y and x values as stated in the question (-1, -2)

(-2)=2(-1)+b

-2+2=b

b=0

rewrite the equation:

y=2x+0

y=2x

For 3) a solid line is used when the equation is <= or => while dotted line is for when the equation is < or >

Could you elaborate on question 2? I dont quite get what the question is asking for

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The rectangular top of a small box has dimensions of one 40 mm x 230 mm. How long in centimeters with a ribbon need to go all th
kozerog [31]

Answer:

540 mm

Step-by-step explanation:

Here we are given a rectangular box with dimensions of the top surface as 40 mm and 230 mm

We are asked to determine the measurement of the ribbon which may go all the way around the edge of it. Basically we are being asked the perimeter of the top surface. The perimeter is given as the

P=2 (l+w)

l = 230

w = 40

P=2(230+40)

P=2 x 270

P= 540

Hence we need 540 mm of ribbon  to go all the way around the edge of the top of the box.

8 0
3 years ago
Read 2 more answers
What is 5 4<br> _ divided by _<br> 6 12
Ivanshal [37]

Answer: 5/12

Step-by-step explanation:

5 0
3 years ago
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In circle E, AC=4, CG=6, and AH=3, Find HB and EG. If necessary, round to the tenths place.
bezimeni [28]
Using theorem about secant segments we can write,
AB*AH=AG*AC
AC=4,
CG=6
AG=AC+CG=4+6=10
AH=3
AB= AH+HB=AH+x=3+x
(3+x)*3=10*4
9+3x=40
3x=40-9
3x=31
x=31/3≈10.3
HB≈10.3
EG=HB/2 (as radius and diameter)
EG=10.3/2≈5.2




3 0
3 years ago
Bob is building a wooden cabin. The cabin is 303030 meters wide. He obtained a bunch of 171717 meters long wooden beams for the
luda_lava [24]

Answer:

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

The width of the room is 30 meters.

If two beams will be making an angle, they will half the width.

There will be a right triangle made, so using SOH CAH TOA,

cos x=\frac{adjacent}{hypotenuse}

cos x=\frac{15}{17}

taking cos inverse

x = cos^{-1} (\frac{15}{17} )

x = 28.07°   :   Answer

Hope it will help :)

7 0
3 years ago
A line passes through the point (4, –2) and has a slope of One-half.
dalvyx [7]

Answer:

-6

Step-by-step explanation:

6 0
3 years ago
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