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Fed [463]
2 years ago
6

Which expression is eqyivalent to (x+3) (x + 2)​

Mathematics
1 answer:
IRINA_888 [86]2 years ago
3 0

Answer:

x^2+5x+6

Step-by-step explanation:

you foil for this so

first: x times x= x^2

outer: x times 2=2x

+

inner: 3 times x=3x

last: 3 times 2=6

so x^2+2x+3x+6

combine like terms

x^2+5x+6

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Whcih describes how to calculate the range of this data set?
Arturiano [62]

Answer:

12-4

Step-by-step explanation:

The range of the data is found by taking the largest number and subtracting the smallest number

The largest number is 12

the smallest number is 4

12-4

4 0
3 years ago
Use the converse of the Pythagorean theorem to decide whether ΔABC is a right triangle by answering the questions.
navik [9.2K]

Answer:

Pythagorean theorem: a^2 + b^2 = c^2

1. we have to find a. b is 12 and c is 15 because the right angle is pointing towards 15 so that is the hypotenuse. then we simply plug the info in the equation we have above.

a^2 + 12^2 = 15^2

a^2 + 144 = 225

a^2 = 81 --> sqaure root to find the answer basically.

a = 9

- we put AD as a so AD = 9

final answer : 9

2. to find AC, simply add AD and DC.

9 + 16 = 25

final answer: AC = 25

3. ABC is not a right triangle because it does not have a right angle. the smaller triangles do, but that does not mean that ABC is a right triangle.

-- let me know if you need any further explanations.

3 0
2 years ago
Read 2 more answers
Write an expression for: the product of 4 and a number. Use x as the variable. Who ever gets it correct first gets brainliest.
maksim [4K]
X(4*1) because I’m just doing what I’m told.
7 0
2 years ago
The graph of a function, ƒ( x), is plotted on the coordinate plane. Select two of the following functions that would move the gr
Alex17521 [72]

Answer:

The following functions would move the graph of the function to the right on the coordinate plane.

C) f(x-3)+1

G) f(x-5)

Step-by-step explanation:

We need to check for those functions which shows a horizontal shift of graph to the right.

Translation Rules:

Horizontal shift:

f(x)\rightarrow f(x+c)

If c>0 the function shifts c units to the left.

If c the function shifts c units to the right.

Vertical shift:

f(x)\rightarrow f(x)+c

If c>0 the function shifts c units to the up.

If c the function shifts c units to the down.

Applying rules to identify the translation occuring in each of the given functions.

A) f(x+2)-7

Translation: f(x)\rightarrow f(x+2)-7

The translation shows a shift of 2 units to the left and 7 units down.

B) f(x)-3

Translation: f(x)\rightarrow f(x)-3

The translation shows a shift of 3 units down.

C) f(x-3)+1

Translation: f(x)\rightarrow f(x-3)+1

The translation shows a shift of 3 units to the right and 1 units up.

D) f(x)+4

Translation: f(x)\rightarrow f(x)+4

The translation shows a shift of 4 units up.

F) f(x+6)

Translation: f(x)\rightarrow f(x+6)

The translation shows a shift of 6 units to the left.

G) f(x-5)

Translation: f(x)\rightarrow f(x-5)

The translation shows a shift of 5 units to the right.

4 0
3 years ago
Hello can you help meee
VARVARA [1.3K]

Answer:

x=4\sqrt{2}

Step-by-step explanation:

The given triangle is a 45°-45°-90° triangle. Use the following rule:

leg=leg\\\\hypotenuse=leg*\sqrt{2}

The length of the legs is 4. Insert this value into the equation:

h=4*\sqrt{2}

Simplify:

h=4\sqrt{2}

:Done

7 0
3 years ago
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