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user100 [1]
2 years ago
9

Write an equation in a point-slope form that passes through the given point with the given slope (3, 5), m = -4 and-1, 8), m = ½

Mathematics
1 answer:
4vir4ik [10]2 years ago
8 0

Answer:

\large\boxed{y-5=-4(x-3)}\\\boxed{y-8=\dfrac{1}{2}(x+1)}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

m=-4,\ (3,\ 5)\\\\y-5=-4(x-3)

m=\dfrac{1}{2},\ (-1,\ 8)\\\\y-8=\dfrac{1}{2}(x-(-1))\\\\y-8=\dfrac{1}{2}(x+1)

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(x^2+4)^2−11(x^2+4)+24=0<br>find one solution for this equation
fomenos

Answer:

Step-by-step explanation:

(x²+4)²-11(x²+4)+24=0

put x²+4=y

y²-11y+24=0

y²-3y-8y+24=0

y(y-3)-8(y-3)=0

(y-3)(y-8)=0

y=3,8

so x²+4=3

x²=-1=i²

x=±i

or x²+4=8

x²=4

x=±2

4 0
2 years ago
Consider the quadratic equation x? = 4x - 5. How many solutions does the equation have? A The equation has one real solution. Th
anzhelika [568]

Answer:

{-1, 5} (two real solutions).

Step-by-step explanation:

On the left side we want x^2, not x?

We need to rewrite x? = 4x - 5 in standard form, that is, as a quadratic with x terms in decreasing powers of x:

x^2 - 4x + 5 = 0

This factors easily to (x - 5)(x + 1) = 0.

We let each factor equal zero (0) separately and solve for x:  

{-1, 5} (two real solutions).

4 0
2 years ago
Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the g
Rainbow [258]
The answer should be the third one which is "<span>The origin is included in the shaded region and the shaded area is above the line."

Hope this helps!!</span>
5 0
3 years ago
Read 2 more answers
25. Which is an example of an operation?<br> A) 12<br> B) 6ab<br> C) +<br> D) y
nasty-shy [4]
Letter c is an operation.
Addition
8 0
3 years ago
Which will result in a perfect square trinomial?
nikitadnepr [17]

Answer:

The first one

Step-by-step explanation:

For the first choice, the binomial is multiplied by itself, so it will result in a perfect square trinomial.

4 0
3 years ago
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