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WITCHER [35]
2 years ago
8

What is the point-slope form of the line with slope 2/5 that passes through the point (-4, -7) ?

Mathematics
2 answers:
likoan [24]2 years ago
7 0

Answer:

• General equation of a line:

{ \tt{y = mx + b}} \\

  • m is the slope, m = 2/5
  • b is y-intercept

{ \tt{ - 7 = ( \frac{2}{5} \times  - 4) + b }} \\  \\ { \tt{ - 7 =  -  \frac{8}{5}  + b}} \\  \\ { \tt{b =  -  \frac{27}{5} }}

• Therefore, equation of line is:

{ \tt{y =  \frac{2}{5}x -  \frac{27}{5}  }} \\

Kruka [31]2 years ago
3 0

Answer:

<em>y + 7 = </em>\frac{2}{5}<em> ( x + 4 ) </em>

Step-by-step explanation:

( x_{1} , y_{1} )

y - y_{1} = \frac{2}{5} ( x - x_{1} )

~~~~~~~~~~~~~~

( - 4 , - 7 )

y - ( - 7 ) = \frac{2}{5} ( x - ( - 4 ))

<em>y + 7 = </em>\frac{2}{5}<em> ( x + 4 )</em>

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If $(2x+5)(x-3)=14$, find the sum of the possible values of $x$.
MA_775_DIABLO [31]

Answer:

x = 1/4 ± 1/4√233

Step-by-step explanation:

(2x + 5)(x - 3) = 14

~Use FOIL on the left side

2x² - 6x + 5x - 15 = 14

~Combine like terms

2x² - x - 15 = 14

~Subtract 14 to both sides

2x² - x - 29 = 0

~Use the quadratic formula and simplify

x = 1/4 ± 1/4√233

Best of Luck!

7 0
3 years ago
I need answers please​
Semmy [17]
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4 0
3 years ago
To factor the quadratic expression x^2−8x−10 by completing the square, what value would be added? A. 64 B. 8 C. 16 D.-16
Elan Coil [88]

Answer:

C

Step-by-step explanation:

When completing the square, we essentially want to create a perfect square trinomial by adding a constant.

If we have the following expression:

x^2+bx

And we want to complete the square, we will need to divide the b-coefficient by half and then square it.

Thus, the added term should be:

(b/2)^2

In the given equation, we have:

(x^2-8x)-10

The b term here is 8. Therefore:

(8/2)^2\\=(4)^2\\=16

The value we would add would be 16.

The answer is C.

Further notes:

To complete the square, add 16 like mentioned earlier. However, we also need to subtract 16 to balance things out:

(x^2-8x)-10\\=(x^2-8x+16)-10-16\\

The expression inside the parentheses is now a perfect square trinomial. Factor it:

=((x)^2-2(4)(x)+(4)^2)-26\\=(x-4)^2-26

And we are done!

4 0
3 years ago
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inn [45]

Answer:

95 degrees

Step-by-step explanation:

The degrees of a pentagon adds up to 540 so just subtract the angles you have from that to get the answer

8 0
3 years ago
Read 2 more answers
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Verdich [7]
To answer, determine the amount of paint that is needed in order to cover the whole of the sign. If we use the ratio and proportion and letting x be the unknown amount. The equation would be,
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