Factor this Quadratic Expression. <br><br> x²

-2x - 6y = -24<br> X-8y = -10

Debora [2.8K]

Answer:

x = -26 and y = -2

I hope this is the answer you are looking for

Step-by-step explanation:

x-8y = -10 => add 8y to both sides

+8y = +8y

x = -10+8y

-2(-10+8y) -6y = -24 => intersect what you got into the first equation

20-16y-6y = -24 => Distribute the -2

20-22y = -24 => subtract 20 in both sides

-20 = -20

-22y = -44 => divided by -22 in both sides

/-22 = /-22

y = -2

x-8(-2) =-10 => intersect the y into the other equation

x+16 = -10 => multiply -8*-2

-16 = -16

x = -26 => subtract 16 in both sides.

8 0

3 years ago

WILL MAKE BRAINLIEST ONLY HAVE 10 MINUTES

polet [3.4K]

Answer:

C is the answer

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The length of a photograph is 3cm less than twice the width. The area is 54cm^2. Find the dimensions of the photograph.

REY [17]

W= width
l= length= 2w-3

Area= length * width
A= lw
substitute l=2w-3 for l
54= (2w-3)(w)
54= 2w^2 - 3w
subtract 54 from both sides
0= 2w^2 - 3w - 54
factor the polynomial
0= (2w + 9)(w - 6)

Set each set of parentheses equal
to 0 and solve for width.

0=2w+9
-9=2w
-4.5= w NEGATIVE VALUE

0=w-6
6 cm=w

-4.5 is not the answer because it has a negative value. You cannot have a negative side of a photograph. So substitute 6 in to find length.

length= 2w-3
l= 2(6)-3
l= 12-3
l= 9 cm

CHECK:
w= 6cm
l= 9cm
Area= length * width
54= 6*9
54= 54

ANSWER: width= 6cm; length= 9cm

Hope this helps! :)

4 0

3 years ago

What is the equation of the line (in slope-intercept form) that passes through the point (5,−1) and is parallel to the line y=2x

tatyana61 [14]

Answer:

Step-by-step explanation:

$\text{Let}\\\\k:y=m_1x+b_1\\\\l:y=m_2x+b_2\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\l\ \parallel\ k\iff m_1=m_2\\\\===============================$

$\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\\\==========================$

$\text{We have the equation of a line:}\ y=2x-7\to m_1=2.\\\\\text{The slope of a parallel line:}\ m_2=m_1=2.\\\\\text{We have the equation:}\\\\y=2x+b\\\\\text{Put the coordinates of the point (5, -1) o the equation:}\\\\-1=2(5)+b\\-1=10+b\qquad\tex\text{subtract 10 from both sides}\\-11=b\to b=-11\\\\\text{Finally:}\\\\y=2x-11$

5 0

3 years ago

g People between the ages of 65 and 70 were studied to see if those who exercise more were healthier. One measure of health was

liubo4ka [24]

Answer:

If the person selected had high blood pressure, the probability that he or she did not exercise is P=0.643.

Step-by-step explanation:

We have a group of people between agss of 65 and 70.

They are divided in two groups regarding their amount of exercise: "none", "moderate" and "high".

The response variable is blood pressure, that was categorized as "normal"or "high".

Then, we have the frequencies table as:

Amount of exercise None Moderate High

Blood pressure High 54 23 7

Blood pressure Normal 86 76 32

We have to calculate the probability that, given that the person had high blood pressure, he or she did not exercise.

If the person had high blood pressure, it can be of the any of the 3 groups of exercise amount. There are 54 people with high blood pressure that did not exercise, 23 that did moderate amount of exercise, and 7 that did a high amount.

Then, the probability can be calculated dividing the amount of people that had high blood pressure and did not exercise, by all the people that have high blood pressure (regarding the amount of exercise):

$P(N | HP)=\dfrac{54}{54+23+7}=\dfrac{54}{84}=0.643$

If the person selected had high blood pressure, the probability that he or she did not exercise is P=0.643.

5 0

3 years ago

Factor this Quadratic Expression. x² – 2xy + y2