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ladessa [460]
4 years ago
6

Factor the following expression using the GCF. 4dr – 16r r

Mathematics
2 answers:
AveGali [126]4 years ago
8 0
The greatest common factor is 4r so

4r(d-4)
xxMikexx [17]4 years ago
7 0
4dr-16r

Remember, the first step in doing this is finding the GCF, or greatest common factor.

Look at both equations, and see what it is.

We see that it is 4.

Look for any variables that are found in both numbers.

r is found in both numbers, so 4r is the GCF.

4dr-16r

What is 4r divided by 4dr? It would be d.

What is -16r divided by 4r? -4

So, our equation now looks like this:

4r(d-4)

So, the last one is correct.

~Hope I helped!~

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The side links of a triangle are 3 m, 4 m common 5 m. Suppose the side links are multiplied by four. Describe the change in peri
andrew-mc [135]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Side links are : 3m, 4m, 5m

The perimeter of a triangle = (a + b + c)

Perimeter 1= (3 + 4 + 5) = 12m

If the side links are multiplied by 4 :

3*4 = 12 m

4*4 = 16m

5*4 = 20m

Perimeter2 = (12 + 16 + 20) = 48 m

Comparing the perimeters:

Perimeter 1 = perimeter 2

12 = 48

Hence, perimeter also increases by 4 folds

8 0
3 years ago
Someone help me out on these 2 geometry questions, ASAP!!!<br> “Complete the proofs”
vodomira [7]

<u>Question 11</u>

1) \overline{BA} \cong \overline{FA}, \angle 1 \cong \angle 2 (given)

2) \angle A \cong \angle A (reflexive property)

3) \triangle AEB \cong \triangle ACF (ASA)

4) \overline{AC} \cong \overline{AE} (CPCTC)

<u>Question 12</u>

1) Isosceles \triangle ACD with \overline{AC} \cong \overline{AD}, \overline{BC} \cong \overline{ED} (given)

2) \angle ACD \cong \angle ADC (angles opposite congruent sides in a triangle are congruent)

3) \angle ACB and \angle ACD are supplementary. \angle ADC and \angle ADE are supplementary (angles that form a linear pair are supplementary)

4) \angle ACB \cong \angle ADE (supplements of congruent angles are congruent)

5) \triangle ABC \cong \triangle AED (SAS)

6) \overline{AB} \cong \overline{AE} (CPCTC)

7) \triangle ABE is an isosceles triangle (a triangle with two congruent sides is isosceles)

<em>Note: I changed the names of the segments in Question 11 because of the word filter.</em>

5 0
2 years ago
A. Directions: Find the surface of the following. Round your answer to nearest
Taya2010 [7]

Answer:

1. S.A of a cone = 565.56 cm².

2. S.A of a cone = 276.496 cm².

3. S.A of a sphere = 128.696 cm².

4. S.A of a sphere = 113.112 cm².

Step-by-step explanation:

Given the following data;

1. Radius, r = 15cm

Slant height, l = 12cm

Mathematically, the surface area of a cone is given by the formula;

Surface area of a cone = πrl

Substituting into the formula, we have;

S.A of a cone = 3.142 * 15 * 12

S.A of a cone = 3.142 * 180

S.A of a cone = 565.56 cm²

2. Radius, r = 8cm

Slant height, l = 11cm

Surface area of a cone = πrl

S.A of a cone = 3.142 * 8 * 11

S.A of a cone = 3.142 * 88

S.A of a cone = 276.496 cm²

3. Radius, r = 3.2 cm

Mathematically, the surface area of a sphere is given by the formula;

Surface area of a sphere = 4πr²

Substituting into the formula, we have;

S.A of a sphere = 4 * 3.142 * 3.2²

S.A of a sphere = 4 * 3.142 * 10.24

S.A of a sphere = 40.96 * 3.142

S.A of a sphere = 128.696 cm²

4. Diameter, d = 6cm

Radius, r = diameter/2 = 6/2 = 3 cm

Surface area of a sphere = 4πr²

S.A of a sphere = 4 * 3.142 * 3²

S.A of a sphere = 4 * 3.142 * 9

S.A of a sphere = 36 * 3.142

S.A of a sphere = 113.112 cm²

4 0
3 years ago
If f(x)= -3x+4 and g(x)=2, solve for the value of x for which f(x)=g(x) is true
JulijaS [17]

Answer:

If i did this right the answer would be f(2)=g(2)

both numbers are 2 and the numbers are (x) so x=2

Step-by-step explanation:

Hope this helps Kas <33

5 0
3 years ago
Please get this right
Tomtit [17]

Answer:

i can't see the question right but you basically just multiply the number by itself (as many times as the exponent says)for the answer

also when you find the top number divide it by the bottom number to get your answer

Step-by-step explanation:

if the picture was clearer I could help you more

4 0
3 years ago
Read 2 more answers
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