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Ivan
3 years ago
13

Slope 5 and (2,3) in point slope form and explain please.

Mathematics
1 answer:
PIT_PIT [208]3 years ago
3 0

Answer:

y - 3 = 5( x- 2)

Step-by-step explanation:

The point slope form of a line is the form y-y_1 = m(x-x_1) where m is the slope and (x_1,y_1) is a point on the line.

Here the slope is 5 and the point is (2,3).

Substitute and you'll have:

y - 3 = 5( x- 2)

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Find the area of this shape. Correct answer will Brainliest
Iteru [2.4K]

Answer:

As shown in picture, this is a trapezoid.

The area of a trapezoid is calculated by:

A = (base1 + base2) x height x (1/2)

To work out A, we need to find out base1, base2, and height.

base1  = YZ = \sqrt{(Zx - Yx)^{2} + (Zy - Yy)^{2} } = \sqrt{(5 - 2)^{2} + (5 - 5)^{2} } = 3

base2 = XW =\sqrt{(Wx - Xx)^{2} + (Wy - Xy)^{2} } = \sqrt{(8 - 1)^{2} + (1 - 1)^{2} } = 7

Otherwise, the height (distance between base1 and base2) is 4 as shown in picture.

=> A = (3 + 7) x 4 x (1/2) = 20

Hope this helps!

:)

6 0
3 years ago
Which equation can be simplified to find the inverse of y = 5x2 + 10?
zmey [24]

f^-1(x) = sq.rt 5(x - 10)/5, sq.rt 5(x - 10)/5 is the inverse of y = 5x^2 +10

Step-by-step explanation:

interchanging the variables

x = 5y^2 + 10

5y^2 +10 = x

5y^2 = x - 10

dividing by 5

5y^2/5 = x/5 + -10/5

y^2 = x/5 + - 10/5

y^2 = x/5 - 2

y = 5 (x-10) 0/5 (sq.rt)

g(5x^2 + 10) = 5x/5

g(5x^2 + 10) = x

f^-1(x) = sq.rt 5(x - 10)/5, sq.rt 5(x - 10)/5 is the inverse of y = 5x^2 +10

5 0
2 years ago
Read 2 more answers
Amanda is building a dollhouse that is a model of her real house with a scale factor of 1/20. In the real house, the kitchen mea
fredd [130]

Answer:

0.5 feet × 0.6 feet

Step-by-step explanation:

10/20 = 0.5

12/20 = 0.6

7 0
2 years ago
What multiplies to 30 but adds to -7
FinnZ [79.3K]

10 * 3

hope I helped :)

6 0
3 years ago
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Find the first of three consecutive even integers if the sum of the first and second is 15 less than 3 times the third.
lilavasa [31]

Answer:

<em>First even integer: 6</em>

Step-by-step explanation:

<u>Inequalities</u>

Assume x is the first even integer. The next integer is x+2, and the last integer ix x+4.

The condition states that the sum of the first and the second number is 15 less than three times the third. This takes us to the inequality:

x+x+2

Operating:

2x+2

Subtracting 2 and 2x:

0

Simplifying:

0

Solving:

x>5

There are infinitely many solutions. For example, for x=6 (first even number into the solution interval):

First integer: 6

Second integer: 8

Third integer: 10

There are other solutions, like 20,22,24 but the first set is 6,8,10.

4 0
3 years ago
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