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3 years ago

What is the length of BC? 55 units 41 units 82 units

Mathematics

1 answer:

ehidna [41]3 years ago

4 0

Step-by-step explanation:

In the figure below, determine the perimeter of AEFG.

2x + 15

39 units

55 units

66 units

82 units

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Could someone clarrify this for me Factor completely 3x^2 + 2x − 1. (3x + 1)(x − 1) (3x + 1)(x + 1) (3x − 1)(x + 1) (3x − 1)(x −

valina [46]

Answer:

(3x-1) (x+1)

Step-by-step explanation:

3x^2 + 2x − 1

3x^2 factors into 3x and x

-1 factors into -1 and 1

We want a postive 2x

(3x-1) (x+1)

4 0

3 years ago

Read 2 more answers

4. find the real number roots. sqrt-0.25

e-lub [12.9K]

Given is square root of a negative real number, i.e. $\sqrt{-0.25}$

When we find square root of positive real numbers, we get Real answers.

But when we find square root of negative real numbers, we get Imaginary answers. To solve them, we can split the given negative number into product of -1 and the number itself but with positive sign. e.g. -4 = -1 x 4.

For square root of -1, we use english letter 'i' called Imaginary unit i.e. $\sqrt{-1} = i$

Now we can use -0.25 = -1 x 0.25

$\sqrt{-0.25} =\sqrt{-1*0.25} \\\\ \sqrt{-0.25} =\sqrt{-1}*\sqrt{0.25} \\\\ \sqrt{-0.25} =i*0.5 \\\\ \sqrt{-0.25} =0.5i$

Hence, "0.5i" is the final answer.

3 0

3 years ago

Read 2 more answers

The graph shows the cost C in dollars of W pounds of blueberries a proportional relationship. select all the true statements

labwork [276]

Answer:

A, D

Step-by-step explanation:

Cost ($) = C

lbs (Blueberries) = W

One pound of blueberries costs $2.75 because to find how much 1 lb is you need to divide by 6.

6 is the number of pounds at that point in the graph, so you divide both the pounds and cost by 6 to find how much 1 lb is.

To find how much 5 lbs costs, multiply both the cost and number of pounds ($2.75 to 1 lb) by 5.

2.75 * 5 is 13.75 (This means C is wrong)

Do the same but with 12 for D

2.75 * 12 is 33, so D is correct

You could do the same method as above for E, but the easier way to do this is to see that the relationship of 3:9 is equal to a 1:3 ratio, which is the same as what the pounds to cost ratio is (which is 1:2.75)

Hope this helps! ^_^

4 0

3 years ago

A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the bui

tester [92]

Answer:

(dy/dt) = - 0.45 m/s (the minus sign indicates that the height of the shadow decreases as the man moves towards the wall).

Step-by-step explanation:

An image of the problem is presented in the attached file to this solution. The image shows the exact moment when the 2m tall man is 4m away from the wall.

First of, when the man is 4m away from the wall, he is 8m away from the spotlight, that is, x = 8m

Using the concept of similar triangles, we can obtain the value of y at this point.

(x/2) = [(x+4)/y]

x = 8

(8/2) = (12/y)

y = 3m when x = 8m

From the image,

But generally, for x and y at any point,

(x/2) = (12/y)

xy = 24

Differentiating with respect to t

(d/dt)(xy) = (d/dt)12

y (dx/dt) + x (dy/dt) = 0

x (dy/dt) = - y (dx/dt)

At x = 8m, y = 3m, (dx/dt) = 1.2 m/s

8 (dy/dt) = - 3 (1.2)

(dy/dt) = - 3.6/8 = - 0.45 m/s

The minus sign indicates that the height of the shadow decreases as the man moves towards the wall.

7 0

4 years ago

the angle of depression from the top ski lift is 57 degrees if the vertical distance from the top and bottom ot the lift is 1200

dedylja [7]

Answer:

1200

Step-by-step explanation:

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7 0

4 years ago