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3 years ago

Can someone explain/show me how to do this?

Mathematics

1 answer:

grandymaker [24]3 years ago

8 0

V = (-7,-4)

8v would be 8 times both numbers

8v = (8*-7, 8*-4)

8v = (-56, -36)

magnitude = square root( -56^2 + -36^2)
= sqrt(3136 + 1296)
= sqrt(4432 )
= 4 sqrt(277)

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If h(x) = x - 7 and g(x) = x2, which expression is equivalent to (g0h)(5)?

notsponge [240]

Answer:

Step-by-step explanation:

I honestly couldn't tell you how to do this, I don't understand it. I just took the test and got this question correct. The answer is A, (5-7)^2.

6 0

3 years ago

Use Newton's method with initial approximation x1 = −2 to find x2, the second approximation to the root of the equation x3 + x +

nevsk [136]

Answer:

$x_2 \approx -1.769$

Step-by-step explanation:

Let $f(x)=x^3+x+7$

So $f'(x)=3x^2+1$

$x_{n+1}=x_n-\frac{f(x_n)}{f'(x_n)}$

Let $x_1=-2$

We are going to find $x_2$

So we are evaluating $-2-\frac{f(-2)}{f'(-2)}$

First step find f(-2)

Second step find f'(-2)

Third step plug in those values and apply PEMDAS!

$f(-2)=(-2)^3+(-2)+7=-8-2+7=-10+7=-3$

$f'(-2)=3(-2)^2+1=3(4)+1=12+1=13$

$x_2=-2-\frac{-3}{13} \\\\ x_2=\frac{-26+3}{13} \\\\ x_2=\frac{-23}{13} \\\\ x_2 \approx -1.769$

5 0

3 years ago

Jasmine has to mix 3/4 cup of flour and 3/8 cup of cornmeal she has a container that holds 1 cup can jasmine mix the flour and c

Sladkaya [172]

Because 3/4 and 3/8 is more than one cup, Jasmine will not be able to mix the flour and the cornmeal in the container.

3/4+3/8=6/8+3/8=9/8

5 0

3 years ago

Read 2 more answers

Solve<br> 3(2x - 5) = 9(10 - x)

alisha [4.7K]

Answer:

x=7

Step-by-step explanation:

3(2x - 5) = 9(10 - x)

6x-15=90-9x

6x+9x=90+15

15x=105

x=7

4 0

3 years ago

Read 2 more answers

The base of a regular pyramid is a hexagon. The figure shows a regular hexagon with center C. An apothem is shown as a dashed se

tatuchka [14]

Answer: 294√3

Explanation:

1) The described hexagon has these featrues:
a) 6 congruent equilateral triangles whose side lengths measure 14
b) height of each triangle = apotema = a
c) the area of each triangle is base × a / 2 = 14 × a / 2 = 7a

2) a is one leg of a right triangle whose other leg is 14 / 2 = 7, and the hypotenuse is 14.

3) Then you can use Pythagorean theorem fo find a:

14² = 7² + a² ⇒ a² = 14² - 7² = 147 ⇒ a = √ 147 = 7√3

4) Therefore, the area of one triangle is: 14 × 7√3 / 2 = 49√3

5) And the area of the hexagon is 6 times that: 6 × 49√3 = 294√3

8 0

3 years ago