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3 years ago

Show that the system has no solution. x + 2y = -4 y = -1/2x - 4

Mathematics

1 answer:

erica [24]3 years ago

7 0

Step-by-step explanation:

TO show that this system has no solution, use the y value in the second equation and put it in for y in the first. Then solve.

x + 2y = -4

x + 2(-1/2x - 4) = -4

x - x - 8 = -4

-8 = -4

Because this is an incorrect statement, we can tell there is no solution.

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natita [175]

Answer:

24 ounces of butter

21 ounces of sugar

30 ounces of flour

12 eggs

3 teaspoon of baking powder

Step-by-step explanation:

Simple. All you had to do was multiply each quantity by 3, because you needed 3 lots of each.

Hope this helps.

6 0

3 years ago

Read 2 more answers

I need help on this! Can someone help me???

elixir [45]

Answer:

Just place a point on (2,-1) and another on (-2,-2)

this should create the line you need

7 0

3 years ago

What's the answer to this problem

Anna71 [15]

Um I think if you multiply the amount of hersheys by the ribbon you would get youre answer
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5 0

3 years ago

Pleasee help ASAP!! No links pleaseee!!!

Ilya [14]

Given:

The vertices of the rectangle ABCD are A(0,1), B(2,4), C(6,0), D(4,-3).

To find:

The area of the rectangle.

Solution:

Distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using the distance formula, we get

$AB=\sqrt{(2-0)^2+(4-1)^2}$

$AB=\sqrt{(2)^2+(3)^2}$

$AB=\sqrt{4+9}$

$AB=\sqrt{13}$

Similarly,

$BC=\sqrt{(6-2)^2+(0-4)^2}$

$BC=\sqrt{(4)^2+(-4)^2}$

$BC=\sqrt{16+16}$

$BC=\sqrt{32}$

$BC=4\sqrt{2}$

Now, the length of the rectangle is $AB=\sqrt{13}$ and the width of the rectangle is $BC=4\sqrt{2}$ . So, the area of the rectangle is:

$A=length \times width$

$A=\sqrt{13}\times 4\sqrt{2}$

$A=4\sqrt{26}$

$A\approx 20$

Therefore, the area of the rectangle is 20 square units.

3 0

3 years ago

Emir is standing in a treehouse and looking down at a swingset in the yard next door. The angle of depression from Emir's eyelin

boyakko [2]

<h3>Answer: 24 feet (Choice D)</h3>

=============================================

Explanation:

Refer to the diagram below. The goal is to find x, which is the horizontal distance from the base of the tree to the swing set.

Focus on triangle BCD.

The angle B is roughly 30.26 degrees, and this is the angle of depression. This is the amount of degrees Emir must look down (when starting at the horizontal) to spot the swing set.

We know that he's 14 ft off the ground, which explains why AB = CD = 14.

The goal is to find BC = AD = x.

---------------------------

Again, keep your focus on triangle BCD.

We'll use the tangent ratio to say

tan(angle) = opposite/adjacent

tan(B) = CD/BC

tan(30.26) = 14/x

x*tan(30.26) = 14

x = 14/tan(30.26)

x = 23.9965714046732

That value is approximate. Make sure your calculator is in degree mode.

That value rounds to 24 feet when rounding to the nearest whole foot.

6 0

3 years ago