MATHEMATICS HIGH SCHOOL

What are the solutions of the equation below
(x-2)(x+9)=0

Answers

Answer 1
Answer:

Answer: {2, -9}

Step-by-step explanation: Think of these two binomials, x -2 and x + 9,

as two numbers that are multiplying together to equal zero.

In order for two numbers to multiply together to equal zero,

either one number or the other number must equal zero.

So for two binomials to multiply together to equal zero,

either one binomial or the other binomial must equal zero.

So we can split this problem up into two parts.

If (x - 2)(x + 9) = 0, then either x - 2 = 0 or x + 9 = 0.

On the left, add 2 to both sides and we have x = 2.

On the right, subtract 9 from both sides and we have x = -9.

For our final answer we use set notation.

So our answer is {2, -9}.

Answer 2
Answer:

Answer:

2 and -9

Step-by-step explanation:

x-2=0

x=2

x+9=0

x=-9

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Type the equation that shows the pattern among the set of ordered pairs (0,4)(1,0)(2,-4)(3,-8)

Answers

trial and error
y=-4x+4

or assuming that it is a line
y=mx+b
m=slope
b=yint
slope=(y2-y1)/(x2-x1)
(0,4) and (1,0)
(0-4)/(1-0)=-4/1=-4

y=-4x+b
sub point
4=-4(0)+b
4=0+b
4=b

y=-4x+4

Sanjay created a scatter plot of the relationship between the number of times he visited different coffee shops each month, y, and the distance in miles of the shops from his home, x. He calculated the equation of the trend line to be y=−2.25x+30. Use this information to predict the number of times in one month Sanjay would visit a coffee shop that is 8 miles from his home.

Answers

Answer:

He visited 12 times.

Step-by-step explanation:

y: number of times each month he visited different coffee shop.

x: distance in the miles of the shop from his home.

Given\ y=-2.25x+30\nx=8\ny=-2.25* 8+30\ny=-18+30\ny=12

Hence he visited that coffee shop 12 times.

Simplify open parentheses x to the 4 fifths power close parentheses to the 3 sevenths power . x to the 7 twelfths power x to the 12 over 35 power x to the 13 over 35 power x to the 43 over 35 power

Answers

Answer:

x to the 12 over 35

Step-by-step explanation:

Given expression,

Open parentheses x to the 4 fifths power close parentheses,

\implies (x^(4)/(5))^(3)/(7)

By using the property of exponent (a^m)^n=a^(mn)

We get,

=x^{(4)/(5)* (3)/(7)}

=x^(12)/(35)

= x to the 12 over 35,

Second option is correct.
i only know the answer to the first one and i think its (x^4)3^7= 2187x^4 im not sure. It might be wrong.

A point P(3,4)is reflected in the x-axis, then rotated by 90 degrees clockwise about the origin.What are the coordinates of the image of P?

Answers

Answer:

(-4, -3)

Step-by-step explanation:

When a point is reflected in the x-axis, the x-coordinate does not change, and the y-coordinate becomes negative:

  • (x, y) → (x, -y)

Therefore, if point P(3, 4) is reflected in the x-axis, then:

  • P' = (3, -4)

When a point is rotated90° clockwise about the origin, it produces a point that has the coordinates (y, -x):

  • (x, y) → (y, -x)

Therefore, if point P'(3, -4) is rotated 90° clockwise about the origin, then:

  • P'' = (-4, -3)

Which fraction is equivalent to 7/15?
A. 14/28
B. 14/17
C. 21/45
D. 21/35

Answers

C. 21/45

If you multiply both the 7 and 15 by 3, you get 21 and 45.

(7)/(15) × (3)/(3) = (21)/(45)
THe answer is C since you multiply the numerator and denominator by 3

If the diameter of a circle is 8 ft what will the radius be???

Answers

The radius is the point from the center of a circle to the outer edges. Therefore the measurements will be half the circumference or diameter. Therefore the Radius is 4ft
The radius would be half the diameter so it would be 4
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