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IrinaVladis [17]
3 years ago
8

Factor the GCF: 28a3b4 + 20a2b2 − 16ab3.

Mathematics
2 answers:
OLga [1]3 years ago
7 0
Find a common factor 4 is divisible by each of the numbers. as for the variables get the lowest exponent from the whole question.
ANSWER: 4ab2(7a2b2+5a-4b)
Vladimir [108]3 years ago
4 0

Answer:

4ab^2(7a^2b^2+5a-4b)  

Step-by-step explanation:

28a3b4 + 20a2b2 − 16ab3.

28a^3b^4 + 20a^2b^2 - 16ab^3

To find GCF we look at a factor that divides 28, 20 and -16

All are divisible by 4. GCF of numbers is 4

for a^3, a^2 and a. GCF is always the variable with lowest exponent that is 'a'

for b^4, b^2 and b^3 the GCF is b^2

for whole expression the GCF is 4ab^2

Now we divide each term by GCF and put 4ab^2 outside

4ab^2(7a^2b^2+5a-4b)  

You might be interested in
Graph y = 1 - x 2 and y = e -x on the same set of coordinate axes. Use the graph to find the positive solution of the equation 1
Tom [10]

Answer:

(0, 1)

(7.1, 0.49)

Step-by-step explanation:

The graph of the function is attached below.

We have an exponential function:

y = e ^ {- x}

And we have a quadratic function:

y = 1-x ^ 2

To find the solution to:

1-x ^ 2 = e ^ {- x}

we must look in the graph for the values of x for which both curves are intercepted, these values are:

x = 0\\x = 7.1

Then the solution are the following ordered pairs:

(0, 1)

(7.1, 0.49)

5 0
3 years ago
Please help with both questions the person with the correct answers will get brainliest
Andreyy89
I think it’s number 7 is A and number 8 is C
8 0
3 years ago
What is the slope of the line
crimeas [40]

Answer:

gradient is equal to 0.7

Step-by-step explanation:

line passes on (-2,0) and (0,1.4)

gradient =(y2-y1)/(x2-x1)

=(1.4-0)/-(0--2)

=1.4/2

=1.4/2×10/10

=14/20

=7/10

=0.7

6 0
4 years ago
Tasha was finding the area and perimeter of a square. The length of the square is 12 inches. What is the area and perimeter of t
krok68 [10]

Answer:

Area of square=144 square inche

Perimeter of square=48 inche

Step-by-step explanation:

length =12

Area of square=length x length

Area of square=12 x 12

Area of square=144

Area of square=144 square inche

Perimeter of square=4 x length

Perimeter of square=4 x 12

Perimeter of square=48

Perimeter of square=48 inche

7 0
3 years ago
15 POINTS! PLEASE HELP!
notka56 [123]

Answer:

DC = 1332.95 feet

Step-by-step explanation:

From the figure attached,

Let the measure of DC = h ft

And measure of side BC = a ft

By applying tangent ratio in ΔBCD,

tan(56°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

             = \frac{DC}{BC}

             = \frac{h}{a}

h = a[tan(56°)] --------(1)

By applying tangent rule in ΔACD,

tan(22°) = \frac{\text{Opposite side}}{\text{Adjacent side}}

tan(22°) = \frac{DC}{BC+AC}

             = \frac{h}{a+2400}

h = (a + 2400)tan(22°) ------- (2)

Equating the values of h from equations (1) and (2),

a[tan(56°)] = (a + 2400)tan(22°)

a[tan(56°) - tan(22°)] = 2400[tan(22°)]

1.0785a = 968.6629

a = 899.085 ft

From equation (1),

h = 899.085[tan(56°)]

h = 1332.948

h ≈  1332.95 ft

7 0
3 years ago
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