All categories

3 years ago

???????????????????????????

Mathematics

1 answer:

IrinaVladis [17]3 years ago

5 0

To find the scaled version of this rectangle by 1/2, start by identifying what this scale factor does to effect the numbers.

In this case, it causes each to divide by two.
Divide each value on the length and width of the rectangle by two.
This results in:
4/2
8/2

Now, perform the division to find your final answer.
This gives you 2 ft by 4 ft.

Answer choice C is the best option.

I hope this helps! :)

You might be interested in

write a number that is greater than 1 in scientific notation . Explain how you know it is greater than 1 .

Gemiola [76]

Answer: 9.3 because it’s a decimal .

Step-by-step explanation:

6 0

3 years ago

What is the pay earned for 27 hours at $4.65 per hour?

Stella [2.4K]

Answer:

$125.55

Step-by-step explanation:

All you do is multiply your earned per hour by total hours.

6 0

3 years ago

Read 2 more answers

The sum of 10 times a number and fifteen is added to 11 times the same number. (how do i make this into a algebraic expression?)

Ne4ueva [31]

10a times (15+11) or 10a times 26

6 0

3 years ago

Consider the following quadratic function Part 3 of 6: Find the x-intercepts. Express it in ordered pairs.Part 4 of 6: Find the

maksim [4K]

Answer:

The line of symmetry is x = -3

Explanation:

Given a quadratic function, we know that the graph is a parabola. The general form of a parabola is:

$y=ax^2+bx+c$

The line of symmetry coincides with the x-axis of the vertex. To find the x-coordinate of the vertex, we can use the formula:

$x_v=-\frac{b}{2a}$

In this problem, we have:

$y=-x^2-6x-13$

Then:

a = -1

b = -6

We write now:

$x_v=-\frac{-6}{2(-1)}=-\frac{-6}{-2}=-\frac{6}{2}=-3$

Part 3:

For this part, we need to find the x-intercepts. This is, when y = 0:

$-x^2-6x-13=0$

To solve this, we can use the quadratic formula:

$x_{1,2}=\frac{-(-6)\pm\sqrt{(-6)^2-4\cdot(-1)\cdot(-13)}}{2(-1)}$

And solve:

$x_{1,2}=\frac{6\pm\sqrt{36-52}}{-2}$ $x_{1,2}=\frac{-6\pm\sqrt{-16}}{2}$

Since there is no solution to the square root of a negative number, the function does not have any x-intercept. The correct option is ZERO x-intercepts.

Part 4:

To find the y intercept, we need to find the value of y when x = 0:

$y=-0^2-6\cdot0-13=-13$

The y-intercept is at (0, -13)

Part 5:

Now we need to find two points in the parabola. Let-s evaluate the function when x = 1 and x = -1:

$x=1\Rightarrow y=-1^2-6\cdot1-13=-1-6-13=-20$ $x=-1\Rightarrow y=-(-1)^2-6\cdot(-1)-13=-1+6-13=-8$

The two points are:

(1, -20)

(-1, -8)

Part 6:

Now, we can use 3 points to find the graph of the parabola.

We can locate (1, -20) and (-1, -8)

The third could be the vertex. We need to find the y-coordinate of the vertex. We know that the x-coordinate of the vertex is x = -3

Then, y-coordinate of the vertex is:

$y=-(-3)^2-6(-3)-13=-9+18-13=-4$

The third point we can use is (-3, -4)

Now we can locate them in the cartesian plane:

And that's enough to get the full graph:

8 0

1 year ago

Use the side-splitter theorem to solve for x in the triangle below.<br> 21<br> 42

alexandr1967 [171]

x = 8

Solution:

Side-splitter theorem:

<em>If a line is parallel to one side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally.</em>

$$\Rightarrow\frac{4}{21} =\frac{x}{42}$

Do cross multiplication, we get

⇒ 4 × 42 = 21x

Divide by 21 on both sides, we get

⇒ 4 × 2 = x

⇒ 8 = x

Switch the sides.

⇒ x = 8

The value of x is 8.

8 0

3 years ago