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nikdorinn [45]
3 years ago
13

Need some help with the answer to the question

Mathematics
1 answer:
kicyunya [14]3 years ago
8 0

Answer:

(- 4, 27 )

Step-by-step explanation:

Equate the right sides of both equations, that is

x² - 2x + 3 = - 2x + 19 ← subtract - 2x + 19 from both sides

x² - 16 = 0 ← in standard form

(x - 4)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 4 = 0 ⇒ x = - 4

Substitute these values into f(x) = - 2x + 19

f(4) = - 2(4) + 19 = - 8 + 19 = 11 ⇒ (4, 11 )

f(- 4) = - 2(- 4) + 19 = 8 + 19 = 27 ⇒ (- 4, 27 )

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7 0
3 years ago
Read 2 more answers
If the endpoints of the diameter of a circle are (6, 3) and (2, 1), what is the standard form equation of the circle?
Anastasy [175]
If the endpoints of a diameter are (6,3) and (2,1) the midpoint is the center of the circle so:

(x,y)=((6+2)/2, (3+1)/2)=(4,2)

Now we need to find the radius....the diameter is:

d^2=(6-2)^2+(3-1)^2

d^2=16+4

d^2=20  since d=2r, r=d/2, and r^2=d^2/4 so

r^2=5

The standard form of the circle is (x-h)^2+(y-k)^2=r^2 and we know:
 
(h,k)=(4,2) from earlier so:

(x-4)^2+(y-2)^2=5
8 0
3 years ago
A triangle's area is given by the expression 3x2-x+12. The height is 6x. The base off the triangle is the quotient of the area a
patriot [66]
You have known the formula Length of base is la division of Area and a haft of the height.
So we have 3
(3 {x}^{2}  - x + 12) \div ( \frac{1}{2}  \times 6x)
or
(3 {x}^{2}  - x + 12) \div 3x
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and
x -  \frac{1}{3}  +  \frac{4}{x}
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6 0
3 years ago
Which of the following is the point and slope of the equation y + 5 = 3(x + 9)?
Tatiana [17]

Answer:

Option B, (-9, -5), 3

Step-by-step explanation:

<u>The point slope form in:  y - y1 = m(x - x1)</u>

m is the slope

(x1, y1) is the point

<u>Step 1:  Determine what the slope and point is their equation</u>

y + 5 = 3(x + 9)

3 is the slope

(-9, -5) is the point

Answer:  Option B, (-9, -5), 3

3 0
3 years ago
A circle has a diameter of 16 cm. What is its circumference?
Olegator [25]

Answer:

the answer is 50.27 cm for your question

8 0
3 years ago
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