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Temka [501]
3 years ago
13

Factor x^2 + 5x + 10

Mathematics
1 answer:
White raven [17]3 years ago
7 0
There are no common factors, therefore, it can't be factored. My advice would be to try simplifying and then try factoring. Because this you can't factor.
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A(3,4) and B(-3,2) are pointd on a coordinate plane. find the coordinate of a points C on the x axis such that AC=BC​
mr Goodwill [35]

Answer:

Step-by-step explanation:

Here's the game plan. In order to find a point on the x-axis that makes AC = BC, we need to find the midpoint of AB and the slope of AB. From there, we can find the equation of the line that is perpendicular to AB so we can then fit a 0 in for y and solve for x. This final coordinate will be the answer you're looking for. First and foremost, the midpoint of AB:

and

Now for the slope of AB:

and

 So if the slope of AB is 1/3, then the slope of a line perpendicular to that line is -3. What we are finding now is the equation of the line perpendicular to AB and going through (0, 3):

and filling in:

y - 3 = -3(x - 0) and

y - 3 = -3x + 0 and

y - 3 = -3x so

y = -3x + 3. Filling in a 0 for y will give us the coordinate we want for the x-intercept (the point where this line goes through the x-axis):

0 = -3x + 3 and

-3 = -3x so

x = 1

The coordinate on the x-axis such that AC = BC is (1, 0)

7 0
2 years ago
What is the diameter, in meters of the circular area that gets watered by the sprinkler?
Schach [20]
The answer is 12 m.

Because you're not studying!

Next time do your mom.

3 0
3 years ago
Read 2 more answers
The length of a rectangle is 7 more than the width the area is 744 square centimeters find length and width of rectangle
andrezito [222]

Answer:

l=31\ cm\\\\w=24\ cm

Step-by-step explanation:

The formula that is used to calculate the area of a rectangle is:

A=lw

Where "l" is the lenght and "w" is the width.

You know that the area of that rectangle is:

A=744\ cm^2

And, according to the exercise, its lenght is 7 more than its width; then:

l=w+7

Then, you can make the corresponding substitution into the formula A=lw:

 744=(w+7)w

Simplify:

744=w^2+7w\\\\w^2+7w-744=0

Factor the equation. Find two numbers whose sum is 7 and whose product is -744. These are 31 and -24.

Then, you get:

(w-24)(w+31)=0\\\\w_1=24\\\\w_2=-31

The width of the rectangle is the positive value:

w=24\ cm

Then, the lenght is:

l=24+7\\\\l=31\ cm

8 0
3 years ago
while roping a fence post jane catches the post 5/6 of the time. time catches the post 3/4 of the time. who catches the post mor
White raven [17]

5/6 is equivalent to 20/24

3/4 is equivalent to 18/24

so 5/6 is bigger than 3/4 by 2/24


3 0
3 years ago
What is the slope of a line parallel to the line whose equation is 4x + 5y = -35.
saw5 [17]

Answer:

y = -4/5x + 5

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Write equation in slope-intercept form

5y = -35 - 4x

y = -7 - 4/5x

Step 2: Write parallel line equation

y = -4/5x + 5

A parallel line is a line that has the same slope as the previous equation but a different y-intercept. They never intersect.

3 0
3 years ago
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