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hjlf
3 years ago
6

What is the greatest common factor of (2^5 x 6^7) and ( 2^3 x 6^8)

Mathematics
1 answer:
Brut [27]3 years ago
7 0

Answer:8 12 and 20

Step-by-step explanation:I googled it

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1. Find the vertex of the following: y = (x - 4)(x - 10) *
horsena [70]

Answer:

1. (7,-9)

2. (4,0) and (10,0)

3. (3,0) and (-3,0)

4. (0,-9)

5. (-1,-32)

Step-by-step explanation:

To find the vertex use the formula

\frac{-b}{2a}

First make the equation into a quadratic equation.

(x-4)(x-10)\\x^{2} -10x-4x+40\\x^{2} -14x+40

Now it is in the form

ax^{2} +bx+c=0

Now we can substitute the values

\frac{-(-14)}{2(1)} \\\frac{14}{2} \\7

Now we have 7 as our x value for the vertex we can substitute for y,

x^{2} -14x+40=y\\(7)^{2} -14(7)+40=y\\49-98+4=y\\y=-9

So the vertex for 1 is (7,-9)

To find the intercepts for 2 & 3, they basically already give it to you. You just need to find a value for x for x-4 that will equal it to 0 and another for x for x-10 that will equal it to 0.

x-4=0\\x=4\\\\x-10=0\\x=10

4 is slightly different but start the same,

(x-3)(x+3)\\x^{2}+3x-3x-9\\x^{2}-9

Here, c (9) just shows the graph move down 9, so the y intercept = 9.

5 is the same process as 1,

2(x-3)(x+5)\\2(x^{2}+5x-3x-15)\\2(x^{2}+2x-15)\\2x^{2}+4x-30

Vertex,

\frac{-(4)}{2(2)} \\\frac{-4}{4} \\-1

Substitute,

2x^{2}+4x-30\\2(-1)^{2}+4(-1)-30\\2-4-30\\-32

So the vertex is (-1,-32)

8 0
3 years ago
Use the distance formula to calculate the length of the leg CD
Karo-lina-s [1.5K]

To calculate the distance between two points on the coordinate system you have to use the following formula:

d=\sqrt[]{(x_1-x_2)^2+(y_1-y_2)^2}

Where

d represents the distance between both points.

(x₁,y₁) are the coordinates of one of the points.

(x₂,y₂) are the coordinates of the second point.

To determine the length of CD, the first step is to determine the coordinates of both endpoints from the graph

C(2,-1)

D(-1,-2)

Replace the coordinates on the formula using C(2,-1) as (x₁,y₁) and D(-1,-2) as (x₂,y₂)

\begin{gathered} d_{CD}=\sqrt[]{(2-(-1))^2+((-1)-(-2))}^2 \\ d_{CD}=\sqrt[]{(2+1)^2+(-1+2)^2} \\ d_{CD}=\sqrt[]{3^2+1^2} \\ d_{CD}=\sqrt[]{9+1} \\ d_{CD}=\sqrt[]{10} \end{gathered}

The length of CD is √10 units ≈ 3.16 units

6 0
1 year ago
Your friend George is 6 feet tall and his shadow is 10 feet long. At the same time, the shadow of the flagpole was 85 feet long.
Leokris [45]

Answer:

51 feet

Step-by-step explanation:

Let

x -----> the height of a flagpole

we know that

Using proportion

\frac{6}{10}=\frac{x}{85} \\\\x=6*85/10\\\\x=51\ ft

8 0
3 years ago
PLEASEEE HELPPP!!! 55 POINTSSS!!
algol [13]

Answer:

min: -10

max: 18

minmax

Step-by-step explanation:

4 0
2 years ago
lillian drew a scale drawing of a county park. the scale she used was 1 inch : 4 yards. the picnic area is 80 yards wide in real
dangina [55]

The picnic area is 20 inches wide in the drawing in her scale of 1 inch : 4 yards.

<h3>What is unitary method ?</h3>

Unitary method is a technique for first solving the value of a single digit unit and from there we can find the value of any given unit.

According to the given question lillian drew a scale drawing of a county park. the scale she used was 1 inch : 4 yards.

The picnic area is 80 yards wide in real life.

∴ The width of the picnic area in here drawing in inches will be

= 80/4 inches.

= 20 inches.

learn more about unitary method here :

brainly.com/question/21648365

#SPJ4

4 0
2 years ago
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