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2 years ago

The equation x^2−8x−5=0 can be transformed into the equation (x−p)^2=q, where p and q are real numbers. What is the value of q?

Mathematics

1 answer:

Setler79 [48]2 years ago

3 0

Answer:

x = 5

x = 3

Step-by-step explanation:

The first term is, x2 its coefficient is 1 .

The middle term is, -8x its coefficient is -8 .

The last term, "the constant", is +15

Step-1 : Multiply the coefficient of the first term by the constant 1 • 15 = 15

Step-2 : Find two factors of 15 whose sum equals the coefficient of the middle term, which is -8 .

-15 + -1 = -16

-5 + -3 = -8

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andrew-mc [135]

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3 years ago

The midpoint of segment AB is (4, 2). The coordinates of point A are (2, 7). Find the coordinates of point B.

erastovalidia [21]

Answer:

<h3>The option B) is correct</h3><h3>Therefore the coordinate of B $(x_2,y_2)$ is (6,-3)</h3>

Step-by-step explanation:

Given that the midpoint of segment AB is (4, 2). The coordinates of point A is (2, 7).

<h3>To Find the coordinates of point B:</h3>

Let the coordinate of A be $(x_1,y_1)$ is (2,7) respectively
Let the coordinate of B be $(x_2,y_2)$
And Let M(x,y) be the mid point of line segment AB is (4,2) respectively
The mid-point formula is

Now substitute the coordinates int he above formula we get
$(4,2)=(\frac{2+x_2}{2},\frac{7+y_2}{2})$
Now equating we get

$4=\frac{2+x_2}{2}$ $2=\frac{7+y_2}{2}$

Multiply by 2 we get Multiply by 2 we get

$4(2)=2+x_2$ $2(2)=7+y_2$

$8=2+x_2$ $4=7+y_2$

Subtracting 2 on both

the sides Subtracting 7 on both the sides

$8-2=2+x_2-2$ $4-7=7+y_2-7$

$6=x_2$ $-3=y_2$

Rewritting the above equation Rewritting the equation

$x_2=6$ $y_2=-3$

<h3>Therefore the coordinate of B $(x_2,y_2)$ is (6,-3)</h3><h3>Therefore the option B) is correct.</h3>

7 0

3 years ago

I need help on this one

Dominik [7]

Answer:

5.9625

Step-by-step explanation:

6 0

3 years ago

What mixed number is equivalent to 18/8

sukhopar [10]

The mixed number to 18/8 is 2 and 1/4
To find this out you multiply 8 to get to 18, yet 8 only goes to 16 before going over 18, so 8 can multiply 2 times.
The 2 will be your whole number
and since there is 2 numbers left (18-16=2) that would be the numbers left over giving you 2 2/8.
yet the 2/8 can be simplified to 1/4 giving you 2 1/4 as your answer.
Hoped this helped!

3 0

3 years ago

Read 2 more answers

Write 4.14 in a fractional notation ?

tatiyna

If it's in a fraction you want it it's 207/50 irregular
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3 years ago