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Oksana_A [137]
3 years ago
15

-

Mathematics
1 answer:
dangina [55]3 years ago
3 0

Answer:

(x-3)^2  =21

Step-by-step explanation:

~~~~~~~x^2-6x-12=0\\\\\implies x^2 -6x +9-21=0 \\\\\implies x^2 -2\cdot x \cdot  3 +3^2=21\\\\\implies (x-3)^2  =21

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Classify the polynomial by degree and number of terms.<br> 2+3x^3-7x^3+10
larisa86 [58]

Answer:

−4x^3+12

Step-by-step explanation:

2+3x^3-7x^3+10

simplify this

−4x3+12

3 0
3 years ago
Jamal buys a strip of 25 postage stamps. The strip of stamps is 21 7/8 inches long. How long is each stamp?
Verizon [17]

Rewrite the length as an improper fraction.

21 7/8 = 175/8

Write the quantity of stamps as a fraction: 25/1

Divide length by number of stamps:

175/8 / 25/1

When dividing by a fraction change the sign to multiplication and flip the second fraction over:

175/8 x 1/25.

Now multiply numerators and then denominators:

(175 x1) / (8x 25) = 175/200

Simplify to 7/8

Each stamp is 7/8 inches long

6 0
3 years ago
Please help me with 2 and 3.
Marianna [84]

Answer:

765

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Suppose that AB and EF are corresponding sides of similar triangles. If AB=2 and the scale factor is 5, what is EF?
Zina [86]

Answer:

EF=10

Step-by-step explanation:

If they are corresponding,

AB = 2 x Scale factor of 5 = 10

8 0
3 years ago
The derivative of the function f is given by f′(x)=−3x+4 for all x, and f(−1)=6. Which of the following is an equation of the li
Viefleur [7K]

Answer:

The equation of the line tangent to the graph of f at x = -1 is y = 7\cdot x +13.

Step-by-step explanation:

From Analytical Geometry we know that the tangent line is a first order polynomial, whose form is defined by:

y = m\cdot x + b (1)

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

m - Slope, dimensionless.

b - Intercept, dimensionless.

The slope of the tangent line at x = -1 is:

f'(x) = -3\cdot x +4 (2)

f'(-1) = -3\cdot (-1) +4

f'(-1) = 7

If we know that m = 7, x = -1 and y = 6, then the intercept of the equation of the line is:

b = y-m\cdot x

b = 6-(7)\cdot (-1)

b = 13

The equation of the line tangent to the graph of f at x = -1 is y = 7\cdot x +13.

3 0
3 years ago
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