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True [87]
3 years ago
11

Can you please help me quickly

Mathematics
1 answer:
storchak [24]3 years ago
8 0
Hello there! How are you today?

The answer choices appear to be indicating that we must apply the distributive property to find our simplified expression. To apply the distributive property, we must multiply the number outside of the parenthesis by all numbers inside of the parenthesis.

For example;

2(1 + 3)
Multiply 2 by all numbers inside of the parenthesis separately.

2(1) + 2(3)
2 + 6
8.

Now that we've explained and (hopefully) understand the concept of our problem, let's prepare to solve.

We have the following expression and answer choices:
96 + 36

A.) 4(24 + 9)
B.) 6(16 + 6)
C.) 12(8 + 3)
D.) 18(5 + 2)

Before we proceed to solve for this, let's evaluate our question carefully.

"Tonya uses the greatest common factor and the distributive property to rewrite this sum: 96 + 36"

Now, let's list the factors out from each number.

96;

1 x 96
2 x 48
3 x 32
4 x 24
6 x 16
8 x 12

36;

1 x 36
2 x 18
3 x 12
4 x 9
6 x 6

Now that we've listed our factors, let's take a look and see which answer choices contain our factors and which don't.

A, B, and C all list factors that are shown above. However, D doesn't as it has "5", which we do not have any numbers that end in 5 or 0, so we can remove answer choice "D" off of our list.

We are now remaining with answer choices A, B, and C.

Since the question requests that we use the greatest common factor, let's take a look into our factors and see which one is the greatest.

The greatest common factor is "12", so we should look for the answer choice that best matches 12.

Answer choice "C" is the only answer choice that contains our greatest common factor, 12.

Your answer is "C.)"

I hope this helps!
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maxonik [38]
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b= the y-intercept (-3)
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7 0
3 years ago
In a trapezoid the lengths of bases are 11 and 18. The lengths of legs are 3 and 7. The extensions of the legs meet at some poin
Mademuasel [1]

Answer:  7\frac{5}{7} unit and 18 unit

Step-by-step explanation:

Let ABCD is a trapezoid where AB and CD are the bases. ( In which AB is greatest base which shown in below figure)

AD and BC are the legs of the trapezoid ABCD.

Now, we have ( According to the question ),

AB = 18 unit, BC = 7 unit, AD = 3 unit and DC = 11 unit.

Here the leg AD extends from point D.

Similarly leg BC extends from point C.

Let they meet at point P ( shown in below diagram)

Since In triangles PAB and PDC,

∠PDC ≅ ∠PAB ( because DC ║ AB )

And, ∠ PAB ≅ ∠ PBA

∠DPC ≅ ∠ APB ( reflexive)

Therefore, By AAA similarity postulate,

\triangle PDC \sim \triangle PAB

Thus, By the definition of similarity,

\frac{PD}{PA} = \frac{DC}{AB}

\frac{PD}{PD+3} = \frac{11}{18} ( because PA = PD+DA)

⇒ 18 PD = 11 PD +33

⇒7PD = 33

⇒ PD = 33/7

Again by the definition of similarity,

\frac{PC}{PB} = \frac{DC}{AB}

\frac{PC}{PC+7} = \frac{11}{18} ( because PB = PC + CB)

⇒ 18 PC = 11 PD +77

⇒7PC = 77

⇒ PC = 11

Thus, PA =  PD+DA = 33/7 + 3 = 7\frac{5}{7}

And, PB = PC + CB = 11 + 7 = 18


8 0
3 years ago
X + 5y = 28 2x + 3y = 21 Solve for x and y.
snow_tiger [21]
First what we gonna do is solve for y.
x+5y=28 Subtract 5y both sides.
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x=-5y+28 Then you have to replace x with the equation.
2(-5y+28)+3y=21 Multiply.
-10y+56+3y=21 Combine like terms and subtract 56 both sides. 
       -56        -56
-7y=-35 Divide -7 both sides.
y=5 Simplify.
x=-5(5)+28 Multiply and add.
x=-25+28
x=3
Heres your answer x=3 and y=5.
6 0
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Answer:

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