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natali 33 [55]
3 years ago
15

What is the slope of the line that passes through the points (4,7) and (5,8) ?

Mathematics
1 answer:
Helen [10]3 years ago
4 0

Answer: m= -1

Step-by-step explanation: y2-y1/x2-x1

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Determine the least possible degree of the polynomial function shown
OleMash [197]

Answer:

yeah

Step-by-step explanation:

To find the degree of the polynomial, add up the exponents of each term and select the highest sum.So the least number of roots = 5 and this will also be the least possible degree of the polynomial

5 0
3 years ago
Enter the equation of the line in slope-intercept form.
raketka [301]

Answer:

y = 5x-14

Step-by-step explanation:

We should use point-slope form to form our equation:

y-1 = 5(x-3)

y-1 = 5x-15

y = 5x-14

Our equation is now in slope-intercept form.

HTH :)

4 0
3 years ago
The length of a rectangle is three times its width. if the area of the rectangle is 75 in2, find its perimeter.
UkoKoshka [18]

Answer:

  40 in

Step-by-step explanation:

For a width of w, the length is 3w and the area and perimeter are ...

  A = LW = (3w)(w) = 3w^2

  P = 2(L+W) = 2(3w +w) = 8w

We are given the area, so we can find w to be ...

  75 in^2 = 3w^2

  25 in^2 = w^2 . . . . . divide by 3

  5 in = w . . . . . . . . . square root

Then the perimeter is ...

  P = 8w = 8(5 in) = 40 in

7 0
3 years ago
6.
Rudik [331]

Answer:

  (a)  169.1 m

Step-by-step explanation:

The diagram shows you the distance (x) will be shorter than 170 m, but almost that length. The only reasonable answer choice is ...

  169.1 m

__

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

The leg of the right triangle adjacent to the marked angle is x, and the hypotenuse is 170 m. Putting these values into the equation, you have ...

  cos(6°) = x/(170 m)

  x = (170 m)cos(6°) ≈ (170 m)(0.994522) ≈ 169.069 m

The horizontal distance covered is about 169.1 meters.

_____

<em>Additional comment</em>

Expressed as a percentage, the slope of this hill is tan(6°) ≈ 10.5%. It would be considered to be a pretty steep hill for driving.

5 0
2 years ago
To make the expression 4x-2 + (2x + 4) equivalent to 2(6x + 7), what must be the value in the box?
podryga [215]

4x - 2 + (2x + 4) = 2(6x + 7) \\

4x - 2 + 2x + 4 = 12x + 14

Simplification

6x + 2 = 12x + 14

Subtract sides 2

6x + 2 - 2 = 12x + 14 - 2

Simplification

6x = 12x + 12

Subtract sides -12x

6x - 12x = 12x - 12x + 12

Simplification

- 6x = 12

Divided sides by -6

\frac{ - 6}{ - 6}x =  \frac{12}{ - 6} \\

x =  - 2

It is must be in the box buddy.

And we're done...♥️♥️♥️♥️♥️

5 0
3 years ago
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