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2 years ago

40 points. Factor the following polynomial.

Mathematics

1 answer:

madam [21]2 years ago

3 0

Answer:

Step-by-step explanation:

49y² - x² ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

49y² - x²

= (7y)² - x²

= (7y - x )(7y + x) → A

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Find the Area of the Shaded Region.

Sedbober [7]

Answer:

A of the shaded figure is 90cm

4 0

3 years ago

What is the inverse of y = 2x

Nookie1986 [14]

Answer:

........the inverse is 2x = y

4 0

3 years ago

This question has several parts that must be completed sequentially. If you skip a part of the question, you will not receive an

maxonik [38]

Answer:

5.0 ft-lbf

Step-by-step explanation:

The force is

$F = \dfrac{9}{6^x}$

This force is not a constant force. For a non-constant force, the work done, W, is

$W = \int\limits^{x_2}_{x_1} {F(x)} \, dx$

with $x_1$ and $x_2$ the initial and final displacements respectively.

From the question, $x_1 =0$ and $x_2 = 12$ .

Then

$W = \int\limits^{12}_0 {\dfrac{9}{6^x}} \, dx$

Evaluating the indefinite integral,

$\int\limits \dfrac{9}{6^x} \, dx =9 \int\limits\!\left(\frac{1}{6}\right)^x \, dx$

From the rules of integration,

$\int\limits a^x\, dx = \dfrac{a^x}{\ln a}$

$9 \int\limits \left(\frac{1}{6}\right)^x \, dx = 9\times\dfrac{(1/6)^x}{\ln(1/6)} = -5.0229\left(\dfrac{1}{6}\right)^x$

Returning the limits,

$\left.-5.0229\left(\dfrac{1}{6}\right)^x\right|^{12}_0 = -5.0229(0.1667^{12} - 0.1667^0) = 5.0229 \approx 5.0 \text{ ft-lbf}$

4 0

3 years ago

If Esteban counted the number of steps it took him to school .And he counted 1,138 steps how many steps does he take walking to

Semmy [17]

Answer:

1,138 steps

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Steps counted to school = 1,138

So, we can calculate the steps he take walking to school by using following formula,

Steps take walking to school = Steps he counted to school

So, Steps take walking to school = 1,138 steps

Hence, Esteban take 1,138 steps while walking to school.

7 0

3 years ago

Question 1 options: 3 8 12 2.5

rewona [7]

Answer:

2.5

Step-by-step explanation:

(I'm assuming you're doing this the same way I learned it, if not I'm sorry if it doesn't make sense)

$\frac{2}{x}$ = $\frac{12}{15}$

Cross multiply

12x=30

Divide

x=2.5

This is just one way to do the problem. An easier way is to simplify the fractions.

$\frac{2}{x}$ = $\frac{4}{5}$

You can either cross multiply or figure out that 2 is half of four and simply divide 5 by 2 which will also result in 2.5

5 0

3 years ago