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3 years ago

Find the magnitude of the vector. (-2,-7)

Mathematics

2 answers:

Vikki [24]3 years ago

4 0

Answer:

Step-by-step explanation:

nevsk [136]3 years ago

3 0

Answer:

$\sqrt{53}$

Step-by-step explanation:

$\begin{pmatrix}-2&-7\end{pmatrix}\\=\sqrt{\left(-2\right)^2+\left(-7\right)^2}\\\\$

Then you need to simplify:

$=\sqrt{2^2+\left(-7\right)^2}\\=\sqrt{2^2+7^2}\\=\sqrt{4+7^2}\\=\sqrt{4+49}\\=\sqrt{53}$

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Which inequality represents this situation? jessica is stacking items on a shelf. she has large books that weigh 5 pounds each a

Nataly_w [17]

5x+3y≤50. Letter D. is the answer.

8 0

3 years ago

Read 2 more answers

There are 6 gallons in a tank that is 20% full. How many gallons are in a full tank? Use a double number line to show your work.

Alex17521 [72]

Answer: 30 gallons

Step-by-step explanation:

Let the number of gallons that are in a full tank be represented by x.

Since there are 6 gallons in a tank that is 20% full, this will be set up in an equation as:

20% × x = 6

20/100 × x = 6

0.2 × x = 6

0.2x = 6

x = 6/0.2

x = 30

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3 0

3 years ago

Factor the polynomial F(x) =x^3-x^2-4x+4 completely.

Norma-Jean [14]

Answer:

Step-by-step explanation:

PART 1:

Possible roots by noticing the coefficient of first term:

x = 1, -1

PART 2:

1 | 1 -1 -4 4

1 0 -4

1 0 -4 0

The remainder is zero, hence one factor is (x-1)

PART 3:

$x^3-x^2-4x+4=(x^2-4)(x-1)\\\\x^3-x^2-4x+4=(x+2)(x-2)(x-1)$

PART 4:

$f(x)=(x+2)(x-2)(x-1)\\\\=(x^2-4)(x-1)\\\\=x^3-4x-x^2+4\\\\=x^3-x^2-4x+4$

6 0

3 years ago

Evaluate: Sigma 50 over 1 (4n - 1) = [?]

iogann1982 [59]

Answer:

50 over 1 (4n - 1) = 5050

I hope I helped you^_^

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3 years ago

There is a line that includes the point(10, 5)and has a slope of 1 What

ziro4ka [17]

Answer:

y = x - 5

Step-by-step explanation:

Given the point, (10, 5), and the slope, m = 1:

Substitute these values into the slope-intercept form to solve for the y-intercept, b:

y = mx + b

5 = 1(10) + b

5 = 10 + b

Subtract 10 from both sides to isolate b:

5 - 10 = 10 - 10 + b

-5 = b

The y-intercept of the line is: b = -5. This represents the y-coordinate of the y-intercept, (0, -5), which represents the point on the graph where it crosses the y-axis. Along the y-axis, the value of x = 0. Hence, the y-intercept is (0, -5).

Therefore, given the slope, m = 1, and the y-intercept, b = -5:

The equation of the line in slope-intercept form is: y = x - 5.

3 0

3 years ago