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3 years ago

Which of the following is the equation of the quadratic function below?

Mathematics

1 answer:

exis [7]3 years ago

7 0

Answer:

A. y = x² - 9x + 18

Step-by-step explanation:

The key thing to look for in this graph is the y-intercept (where the graph will hit the y-axis).

We can't see exactly where y-intercept is, but we know it is a positive number.

In a standard form quadratic equation:

y = ax² + bx + c

'c' tells you what the y-intercept is.

The choices with positive y-intercept are A and B.

Again, we can't see exactly where y-intercept is, but we know it is not 1.

y = x² - 9x + 18

has a positive y-intercept that is not 1,

thus the answer is A.

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Vector u has initial points at (21,12) and it’s terminal point at (19,-8). Vector v has a direction opposite that of u. Who’s ma

8_murik_8 [283]

The correct form of vector v expressed as a linear combination of the unit vectors i and j is $\vec v = 10\,\hat{i} + 100\,\hat{j}$ .

<h3>What is the value of a vector with respect to another vector?</h3>

First, we need to determine the value of the vector u by subtracting two vectors whose initial points are at the origin:

$\vec u = (19\,\hat{i} - 8\,\hat{j}) - (21\,\hat{i} + 12\,\hat{j})$

$\vec u = - 2\,\hat{i} - 20\,\hat{j}$ (1)

According to the statement, vector v is antiparallel to vector u and its magnitude is five times as the magnitude of vector v, which means that (1) must be multiplied by two scalars:

$\vec v = - 1 \,\cdot \, 5\cdot \vec u$ (2)

Please notice that antiparallelism is represented by the scalar - 1, whereas the dilation is represented by the scalar 5.

$\vec v = 10\,\hat{i} + 100\,\hat{j}$

The correct form of vector v expressed as a linear combination of the unit vectors i and j is $\vec v = 10\,\hat{i} + 100\,\hat{j}$ .

<h3>Remark</h3>

The statement presents typing mistakes, correct form is shown below:

Vector u has initial points at (21, 12) and its terminal point at (19, - 8). Vector v has a direction opposite that of u, whose magnitud is five times the magnitud of v. Which is the correct form of vector v expressed as a linear combination of the unit vectors i and j?

To learn more on vectors: brainly.com/question/13322477

#SPJ1

8 0

2 years ago

If x 8 and y -5 what is xy divided by -10?

inna [77]

(x)(y) / (-10) = (8)(-5) / (-10) = 40/10 = 4 (answer)

Kindly use the " = " sign where necesssary: x = 8 and y = -5.

5 0

4 years ago

A parallelogram has a perimeter of 33.2 centimeters. Two of the sides are each 11.6

rodikova [14]

Answer:

Step-by-step explanation: BECAUSE IN A PARALLELOGRAM OPPPOSITE SIDES ARE EQUAL SO IF THE PERIMETER IS 33.2 WE SHOULD SUBTRACT THAT NUMBER WITH 11.6*2 WHICH IS 23.2 SO 33.2-23.2 WHICH IS 10,SO 10/2 IS THE OTHER SIDE OF THE PARALLELOGRAMWHICH IS NOTHING BUT 5

5 0

3 years ago

Point E is the midpoint of side BC of parallelogram ABCD, and point F is the midpoint of side AD. prove that quadrilateral BEDF

Lemur [1.5K]

9514 1404 393

Explanation:

Here is one way to go about it.

Statement . . . . Reason

1. AD ≅ BC, AD║BC, E & F are midpoints of BC, AD . . . . given

2. (1/2)AD ≅ (1/2)BC . . . . multiplicative property of congruence (equality)

3. DF = (1/2)AD, BE = (1/2)BC . . . . definition of midpoint

4. DF ≅ BE . . . . substitution property of congruence

5. BE║DF . . . . segments of parallel lines are parallel

6. BEDF is a parallelogram . . . . BE ≅ DF, BE║DF, definition of parallelogram

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3 years ago

A video rental company offers a plan that includes a membership fee of $11 and charges $1 for every DVD borrowed. They also offe

Anastaziya [24]

Answer:

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3 years ago