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frutty [35]
3 years ago
9

3. FACTOR f(x) = x3 + 2x2 – 51x + 108 completely given x + 9 is a factor.

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
6 0

Answer:(x+9)(x-4)(x-3)

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A triangle has an area of 54 square inches the height of the triangle is 12 inches what is the length of the base of the triangl
prohojiy [21]

Answer:

<em>The base of the triangle = 9inches</em>

Step-by-step explanation:

<u>Explanation</u>:-

The area of the triangle = \frac{1}{2} bh square units

Given area of the triangle(A) = 54 square inches

Given the height of the triangle (h) = 12 inches

now  equating     \frac{1}{2}  b h = 54

                          \frac{1}{2}  b (12)  = 54

now simplification, we get

                           6 b = 54

Dividing '6' on both sides, we get

                             b = 9

The base of the triangle = 9 inches

<u>Conclusion</u>:-

<em>The base of the triangle = 9 inches</em>

6 0
3 years ago
Write the inequality given in the diagram below
11111nata11111 [884]

Answer:

x ≥ - 1

Step-by-step explanation:

the solid circle above - 1 on the number line indicates that x can equal - 1

the arrow points right indicating x is greater than or equal to - 1 , that is

x ≥ - 1

4 0
1 year ago
Triangle ABC will be dilated according to the rule (x,y), where point F is the center of dilation. What will be the coordinates
Arturiano [62]
To dilate an object using a given scale factor we can multiply the coordinates of the object by the scale factor to get the coordinates of the image. However, this can only be done when the center of dilation is the origin (0,0). For non-origin center of dilation like in our case we have to locate the points of the image by construction in a Cartesian plane using the center and the scale factor. In this case we need to measure the distance of A from a point F (center of dilation) the we multiply it by 0.25 (the scale factor) then using the same path we measure the distance we get to locate point A'. Hence, by so doing point A' will be (1,0).
6 0
3 years ago
Read 2 more answers
The cost of renting a bicycle from Dan's Bike Shop is $2 for 1 hour plus $1 for each additional hour of rental time. Which of th
Vlad [161]

option B

Explanation:

The cost of renting per hour = $2

For 1 hour = $2

For each additional hour, it is $1

For 2 hours = First hour + 1(additional hour)

For 2 hours = $2 + $1(1) = 2+1 = $3

For 3 hours = $2 + $1 (2) = 2+2 = $4

For 4 hours = $2 + $1(3) = 2+3 = $5

The graph which shows this rental cost as 2, 3, 4, 5 is option B

7 0
1 year ago
What is the speed of the San Andreas fault?
diamong [38]

Answer:

The average rate of movement along the San Andreas Fault is between 30mm and 50mm per year over the last 10 million years. If current rates of movement are maintained Los Angeles will be adjacent to San Francisco in approximately 20 million years.

Step-by-step explanation:

4 0
2 years ago
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