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fomenos
2 years ago
13

Which equation represents a line that passes through (–2, 4) and has a slope of 2/5

Mathematics
2 answers:
labwork [276]2 years ago
6 0

Answer:

Step-by-step explanation:

y = 2/5x + p

We now that passes through (–2, 4)

 2/5 × (-2) + p = 4

⇔ -4/5 + p = 4

⇔ p = 4 + 4/5

⇔ p = 20/5 + 4/5

⇔ p = 24/5

⇒ y = 2/5x + 24/5

cupoosta [38]2 years ago
3 0

Equation of a line is given by y - y1 = m(x - x1); where m is the slope.

y - 4 = 2/5 (x - (-2))

y - 4 = 2/5 (x + 2)

Hope this helps! :)

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Please help, I’ll mark your answer as brainliest!
statuscvo [17]

Answer:

(x-230)^2+(y-220)^2=6100

Step-by-step explanation:

The equation for a circle is (x-h)^2+(y-k)^2=r^2, where (h,k) is the vertex of the circle and r is the radius. Immediately, since the center of the circle is given, we know what h and k are. h is 230 and k is 220.

The only thing we need to find is the radius, which will just be the distance from the center (230,220) to a point on the circumference (170,170). The distance between them can be calculated using the <u>distance formula</u>, which is really just the <u>Pythagorean Theorem</u> rearranged. The formula states that d=\sqrt{x^2+y^2}, where x is the change in the x-coordinates of the two points and y is the change in the y-coordinates of the two points. Plug-in x for 60 and y for 50 to get d=\sqrt{50^2+60^2}. Solve for d, arriving at \sqrt{6100}. Therefore, the radius of the circle is \sqrt{6100}.

Finally, we have all of the components to create the equation of the circle. Plug-in 230 for h, 220 for k, and \sqrt{6100} for r.

The equation of the circle will be (x-230)^2+(y-220)^2=6100.

Hope this helps :)

4 0
2 years ago
Which of the following is an arithmetic sequence
Ludmilka [50]

Answer:

A sequence that has a contant addition/subtraction to get to the next term

for example:

-3, 0, 3, 6, ...

to get to the next term, we'll need to add 3 each time

Step-by-step explanation:

3 0
3 years ago
David cannot read traffic signs that are no less than 40 meters away. Which inequality represents distances at which David canno
Oxana [17]

Answer:

There is sevral answers for one answer is David is blind another is far sighted

but the answer your looking for is C

Step-by-step explanation:

6 0
3 years ago
The base of a pyramid is a square with dimensions 12 in by 12 in. The height of the pyramid is 10 in. What is the slant height o
zmey [24]

The slant height is the hypotenuse of the right triangle formed by the height and half the base length. Use the Pythagorean Theorem.

a² + b² = c²

6² + 10² = c²

36 + 100 = c²

136 = c²

√136 = √c²

c = 11.66 in

6 0
4 years ago
Can some one pls help me
Leviafan [203]

Answer:

10.5in

Step-by-step explanation:

DC=16in is similar to OP=12in.

So the ratio is 12/16=3/4.

Now AD=14in.

MP=AD×ratio=14×3/4=21/2=10.5in

3 0
4 years ago
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