MATHEMATICS HIGH SCHOOL

What are the x-intercepts of the graph of the function f(x) = x2 + 4x – 12?(–6, 0), (2,0)
(–2, –16), (0, –12)
(–6, 0), (–2, –16), (2, 0)
(0, –12), (–6, 0), (2, 0)

Answers

Answer 1

Answer:

Answer:

Coordinates are (–6, 0), (2,0).

Step-by-step explanation:

Given the function $f(x) = x2+4x-12$

we have to find the x-intercepts of the graph of the function f(x).

$y = x2+4x-12$

As the value of y coordinate is 0 on x-axis which gives the x-intercepts of the function.

Put y=0 in above function we get the x-intercepts.

$x^2+4x-12=0$

⇒ $x^2+6x-2x-12=0$

⇒ $x(x+6)-2(x+6)=0$

⇒ $(x-2)(x+6)=0$

⇒ x=2 and x=-6

Hence, x-intercepts are 2 and -6

⇒ Coordinates (–6, 0), (2,0).

Option 1 is correct.

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What is the slope of a line that passes through (–14,13) and (7,0)? A. 21/13
B. -13/21
C. 13/21
D. -21/13

Answers

Answer:

Option B is correct.

$-(13)/(21)$

Step-by-step explanation:

Slope of the line that passes through the point is given by:

$\text{Slope} = (y_2-y_1)/(x_2-x_1)$

As per the statement:

A line that passes through (–14,13) and (7,0)

then;

$\text{Slope} = (0-13)/(7-(-14))$

⇒ $\text{Slope} = (-13)/(7+14)$

⇒ $\text{Slope} = (-13)/(21)$

Therefore, the slope of a line that passes through (–14,13) and (7,0) is, $-(13)/(21)$

the answer is choice b.
y2-y1/x2-x1

0-13/ 7-(-14)
-13/7+14
-13/21

What is the value of the expression below when w = 5?
2w2 – 2w + 3

Answers

Answer:

I got you

Step-by-step explanation:

2 time 5 times 2 is 20. This minus 2 times 5 is 10 plus 3 is 13.

Answer:13

Step-by-step explanation:

What is base 1 of a trapezoid in which A=(48x+68) in^2, height =8, and base 2 = (9x + 12)

Answers

A=(1/2)(b1+b2)h =

=(48x+68)in² = (1/2)( b1+(9x+12))8

the answer is = b1= 3x+5

i hope that helped =D

What is 76/100 simplified

Answers

Find the highest common factor between 76 and 100.
Factors of 76: 1, 2, 4, 19, 38, 76
Factors of 100: 1, 2, 4, 5, 10, 20, 50, 100

The highest common factor is 4. Divide 76 and 100 by 4.

$(76)/(100) = (19)/(25)$

Five times the sum of a number and one is 115. What is the number? Use x as your variable.

Answers

The initial equation is:
$5(x+1)=115$

Let's transform it for x:
$5x+5=115$

... distract 5:
$5x=110$

... divide both sides by 5:
$x=22$

Write the follow equation accordin the text of the task:

$5(x+1)=115$

Solve the equation:

$5(x+1)=115\n \n 5x+5=115\n \n 5x=115-5\n \n 5x=110\n \n x=(110)/(5)\n \n x=22$

Given A(2, 3), B(8, 7), C(6, 1), which coordinate will make line AB perpendicular to line CD?D(9, 3)
D(4, 4)
D(3, 3)
D(8, 4)

Answers

Answer:

The correct option is;

D(4, 4)

Step-by-step explanation:

The given coordinates of the points are, A(2, 3) B(8, 7), C(6, 1), therefore, the coordinates of the point D that will make CD perpendicular to AB will have a slope = -1/m, where, m = the slope of the line segment AB

The formula for finding the slope, m, of a segment, given the coordinates of two points on the straight line segment (x₁, y₁), (x₂, y₂)

$Slope, \, m =(y_(2)-y_(1))/(x_(2)-x_(1))$