Solve the system of equations
Sy=-3x + 7
1 x = – 2y – 16


X=
Y=​

Answer:

1. Ella can scale it up by 3 or by using the ratio 3:1, the smaller bed is exactly 1/3 of the bigger bed.

2A. No I am way taller than the 75".

2B. Ella can scale the bed up by 7:1 so that it can fit me.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

AC² + BC² = AB² , that is

x² + x² = (12[tex]\sqrt{2}[/tex] )²

2x² = 288 ( divide both sides by 2 )

x² = 144 ( take the square root of both sides )

x = [tex]\sqrt{144}[/tex] = 12

Answer:

122

Step-by-step explanation:

[tex]x^6+y^2[/tex]

Plug in 1 for x and 11 for y

[tex]=1^6+11^2[/tex]

1 to the power of any number will always equal 1

[tex]=1+11^2\\=1+121\\=122[/tex]

I hope this helps!

Answer:

-6 -4 3 7

Step-by-step explanation:

This is right because if it goes- it goes lower and if it goes up on + it goes higher.

Answer:

-6, -4, 3, 7

Step-by-step explanation:

First you need to know that negative numbers are smaller than positive numbers, the larger the number beside the negative sign is, the smaller the number.

Answer:

A triangle can have one obtuse and two acute angles. A triangle can have three acute angles.

Answer:

I believe D. B12

Answer:

it's the third one

Step-by-step explanation:

Model A represent the given situation. Therefore, option A is the correct answer.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, Ben and his friends ordered 3 hoagies and they cut each hoagie into thirds.

Here, model A represent 3 hoagie and each cut into three pieces.

Therefore, option A is the correct answer.

To learn more about the fraction visit:

brainly.com/question/1301963.

#SPJ2

Answer:

Step-by-step explanation:

I don't know

Given:

The figure of a right triangle.

To find:

The value of [tex]\sin(30^\circ)[/tex].

Solution:

We know that, the sides of 30°-60°-90° right triangle are [tex]x,x\sqrt{3},2x[/tex] opposite to the angles 30°, 60°, 90° respectively.

Opposite side of 90° is 9.

[tex]2x=9[/tex]

[tex]x=\dfrac{9}{2}[/tex]

[tex]x=4.5[/tex]

So, opposite side of 30° is 4.5.

In a right triangle:

[tex]\sin\theta = \dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\sin (30^\circ)= \dfrac{4.5}{9}[/tex]

[tex]\sin (30^\circ)= \dfrac{1}{2}[/tex]

Therefore, the correct option is A.

Answer:

D = 18 miles

Step-by-step explanation:

The coordinate of a library = (4,3)

The coordinate of the school = (-5,3)

We need to find the distance between the library and the school. We can use the distance formula i.e.

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\=\sqrt{(-5-4)^2+(3-3)^2}\\\\=\sqrt{81}\\\\=9\ miles[/tex]

As the distance between each unit represents 2 miles. It means the distance is 2(9) = 18 miles

So, the correct option is (c).

Answer:

1.Unless otherwise specified, a positive rotation is counterclockwise, and a negative rotation is clockwise.

2.The notation used for rotations on the coordinate plane is: Rnumber of degrees(x,y)→(x′,y′).

3.To rotate a shape, you should usually rotate each vertex of the image individually.

Step-by-step explanation:

Answer:

x° is 108°

Step-by-step explanation:

The figure given of the survey of the 1,200 people is the table of values and a corresponding a pie-chart

From the table of values, we have;

The total number of participants in the survey, n = 324 + 360 + 108 + 156 + 96 + 156 = 1,200

The number of the participants in the survey that selected soccer as their favorite sport, sₙ = 360

The fraction of the participants in the survey that selected soccer as their favorite sport, Psₙ = Sₙ/n

∴ Psₙ = 360/1200 = 0.3

Therefore, 0.3, which is equivalent to 30% chose soccer as their favorite sport

To represent the fraction of the survey participants that selected soccer as their favorite sport on a pie chart, 0.3, we note that the sum of the angles at the center of the pie chart is 360°, therefore, the angle that is given to soccer on the pie chart, 'x', is the product of 0.3 and 360° as follows;

x° = 0.3 × 360°  = 108°

x° = 108°

Answer:

12.04

Step-by-step explanation:

Use the distance formula.

[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\\d = \sqrt{(4 - (-5))^2 + (-5-3)^2}\\d = \sqrt{(9)^2 + (-8)^2}\\d = \sqrt{81 + 64}\\d = \sqrt{145}[/tex]

Answer:

1/5

Step-by-step explanation:

Answer:

The answer is b

Step-by-step explanation:

Answer:

the  fraction of the sheet of paper does he use is  1  ÷ 12

Step-by-step explanation:

The computation of the fraction of the sheet of paper does he use is shown below:

= Piece of construction paper × piece to make a flower

= 1 ÷2 × 1 ÷ 6

= 1  ÷ 12

hence, the  fraction of the sheet of paper does he use is  1  ÷ 12

Answer:

12

Step-by-step explanation:

Use the Pythagorean Theorem to solve.

10 squared minus 8 squared=36

Square rt = 6

6 + 6=12

The length, in centimeters, of AC should be considered as the 12

Since

In ABC, BD is perpendicular to AC. The dimensions are shown in centimeters.

So here the length should be like

= 10^2 - 8^2

= 100 - 64

= 36

= 6

So for AC it should be

=  6+ 6

= 12

Hence, The length, in centimeters, of AC should be considered as the 12

Learn more about length here: https://brainly.com/question/12497184

Answer:

Step-by-step explanation:

[tex]2(n+7)=\frac{n}{3}-4\\ \\ 2n+14=\frac{n-12}{3}\\ \\ 6n+42=n-12\\ \\ 5n+42=-12\\ \\ 5n=30\\ \\ n=6[/tex]

Answer:

The answer is "[tex]x(\frac{250}{3}-x)[/tex]"

Step-by-step explanation:

Both points are similar that's why the solution is:

[tex]\to \frac{6x+6y=500}{6}\\\\\to x+y=\frac{250}{3}\\\\\to y= \frac{250}{3}-x \\\\\to Area= xy\\\\ \to Area= x(\frac{250}{3}-x)[/tex]

As you said, the equation is separable:

dy/dt = 2t / exp(y)

exp(y) dy = 2t dt

Integrate both sides:

∫ exp(y) dy = ∫ 2t dt

exp(y) + C₁ = t ² + C₂

Move the constant terms to one side. When you add them together, you get another constant, so you can ignore the subscript altogether:

exp(y) = t ² + C

Solve for y explicitly by taking the logarithm of both sides:

ln(exp(y)) = ln(t ² + C )

y = ln(t ² + C )

C can be any number; if it happens to be 0, then you have

y = ln(t ²) = 2 ln(t )

so B is the correct choice.

You can also approach this from the opposite angle: Assume y is one of the given solutions, then substitute it into the ODE. (Bit more trial-and-error involved, so not a good idea if you're short on time.)

For example, if y = 2 exp(t ) as in choice A, you have dy/dt = 2 exp(t ), so the ODE would become

2 exp(t ) = 2t / exp(2 exp(t ))

which is clearly (I hope) not true.

I am not sure what your question is, but Jack is saying it's 1:45 PM.

Becky is saying that it's 13:45, which converts to 1:45 PM as well.

Answer:

=540

Step-by-step explanation:

To get the answer all we have to do is convert the scientific notation into a regular one. We can do this by moving the decimal place depending on what the power is.

In this case, the power/exponent/the number raised, whatever you would call it is 2, so we are going to move it to two places.

Hope this helps!!

Answer:

5/9

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

Aisha gets on the elevator at sixth floor and then rides up three floors to meet shaimaa before riding down seven floors to meet abeer. This means Shel be at the (6+3-7) = 2nd floor.

The number of floors that aisha is from where she start will be:

= 6 - 2

= 4 floor downwards. Or -4.

Answer:

The first, second, and fourth graphs are linear. The third graph is nonlinear.

Step-by-step explanation:

A linear graph is a graph that forms a straight line. A linear graph is a graph that curves or bends.

Answer:

QR= 16

Step-by-step explanation:

HOPE THIS HELPS