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ankoles [38]
2 years ago
10

Hello people ~factorise↷ x^2 + 4x –21​

Mathematics
1 answer:
EleoNora [17]2 years ago
8 0

Let's see

\\ \rm\rightarrowtail x^2+4x-21

\\ \rm\rightarrowtail x^2+7x-3x-21

\\ \rm\rightarrowtail x(x+7)-3(x+7)

\\ \rm\rightarrowtail (x-3)(x+7)

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A diameter of a circle has enpoints (-2, 10) and (6, -4) in the standard (x, y) coordinate plane. What is the center of the circ
wlad13 [49]

Answer:

The center of the circle is C(x,y) = (2, 3).

Step-by-step explanation:

The center of the circle is the midpoint of the segment between the endpoints. We can determine the location of the center by this vectorial expression:

C(x,y) = \frac{1}{2}\cdot R_{1}(x,y)+ \frac{1}{2}\cdot R_{2}(x,y) (1)

Where:

C(x,y) - Center.

R_{1} (x,y), R_{2} (x,y) - Location of the endpoints.

If we know that R_{1} (x,y) = (-2,10) and R_{2} (x,y) = (6,-4), then the location of the center of the circle is:

C(x,y) = \frac{1}{2}\cdot (-2,10)+\frac{1}{2}\cdot (6,-4)

C(x,y) = (-1, 5) + (3, -2)

C(x,y) = (2, 3)

The center of the circle is C(x,y) = (2, 3).

8 0
3 years ago
What is the difference between –4 and 6?
Andrew [12]
The difference between them is 10

-4 - 6 = -10, however since it is only asking for the <em>difference, </em>your answer would be 10.
5 0
3 years ago
Chase collects $27.34 for a fundraiser Sydney collects$9.83 more than Chase ally collects 4times as much as Sydney. how much doe
adelina 88 [10]
So Chase has $27.34.
You add $27.34 to $9.83. (Which is $37.17).
That will give you the amount of how much Sydney has.
To find how much Ally has you times $37.17 by 4.
Basically, you are doing $37.17 + $37.17 + $37.17 + $37.17.
When you have finished adding them you will get the answer.
So the answer is $148.68
8 0
3 years ago
Read 2 more answers
Consider triangle ABC with M &lt; C= 65, b = 5 and c = 6. Which option lists an expression that is equivalent to m &lt;B?
tiny-mole [99]
Given:
m∠C = 65°
b = 5
c = 6

Apply the Law of Sines.
sin(B)/b = sin(C)/c
sin(B)/5 = sin(65)/6
sin(B) = (5*sin(65))/6 = 0.7553
B = arcsin(0.7553) = 49.05°

Answer: m∠B = arcsin(0.7553) = 49° (approx)
3 0
3 years ago
Point C (2, 1) is the image of C(2,5) reflected across line m. What is the equation of line<br> m?
Tresset [83]

Answer:

Y=3

Step-by-step explanation:

The line is a horizontal line, and the points are in a vertical line. Y=3 is on a horizontal line at 3 up from the x axis.

8 0
3 years ago
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