If two lines have slopes of 1/3 and -3, then
they are

Answer:

Answer:

Silk = x = 1.5 yards

Cotton = y = 2.75 yards

Step-by-step explanation:

x + y = 4.25

16.90x + 4y = 36.35

1. The solution to the equation represent number of yards of silk and number of yards of cotton bought.

2.

x + y = 4.25 (1)

16.90x + 4y = 36.35 (2)

Multiply (1) by 4

4x + 4y = 17 (3)

16.90x + 4y = 36.35 (2)

Subtract (3) from (2)

16.90x - 4x = 36.35 - 17

12.90x = 19.35

Divide both sides by 12.90

x = 19.35 / 12.90

= 1.5

x = 1.5 yards

Substitute x = 1.5 yards into (1)

x + y = 4.25

1.5 + y = 4.25

y = 4.25 - 1.5

= 2.75

y = 2.75 yards

Silk = x = 1.5 yards

Cotton = y = 2.75 yards

Step-by-step explanation:

Answer:

As i understand, you put an egg inside a container, and then you drop it from 30ft above the ground.

Now, when the container is in the air, the only force acting on it will be the gravitational force (we can discard things like the air resistance, as we do not know the shape or volume of the container).

The gravitational acceleration is g = 32.2ft/s^2

Then the acceleration of the container will be:

A(t) = -32.2ft/s^2

For the velocity, we need to integrate over time to get:

V(t) = (-32.2ft/s^2)*t + v0

where v0 is the initial velocity, as the container is "dropped", the initial velocity is zero, then:

V(t) = (-32.2ft/s^2)*t

For the position, or height in this case, we integrate again over time, and get:

P(t) = (1/2)*(-32.2ft/s^2)*t^2 + p0

Where p0 is the initial height, 30 ft in this case.

Then the equation for the height, as a function of time, is:

P(t) = (-16.1ft/s^2)*t^2 + 30ft.

Where the fact that the container is made in such a way that an egg inside of it does not break (For example, made of a really dense and elastic material that can absorb all the energy of the impact), does not change anything in this equation, as the kinematics do not depend on that kind of properties.

Answer:

0 ig

Step-by-step explanation:

-9b=27b

+9b  +9b

0=39b

   /0

b=0

Answer:

-3

Step-by-step explanation:

Answer: a) x = 5   b) x = 12

Step-by-step explanation: For each one you just do the inverse to get it on the other side of the equal sign. For example x + 3 = 8 would be like this :

1. x + 3 = 8

2. x + 3 - 3 = 8 -3

    ( + 3 - 3 cancels out)

3. x = 5

a. x + 3 = 8

x = 8 - 3

x = 5

b. x - 5 = 7

x = 7 + 5

x = 12

Answer:

(3x)(x-2)(x-1)

Step-by-step explanation:

First we can factor out the 3x from each and are then left with x^2-3x+2. Now we can go ahead and factor. Looking for two variables that multiply to become positive 2 and add to become negative 3, we get negative 2 and negative 1. We now know that both (x-1) and (x-2) are factors. We now have all three factors and we can multiply to check if we get the right answer, and we do.

Answer:

the value of the expression is -16

Step-by-step explanation:

[tex]-5^{2} + 3^{2}[/tex]

Answer:

The perimeter of the triangle is approximately equal to 18

Step-by-step explanation:

The coordinates of the vertices of the triangle are (-3, -1), (2, 3), and (5, 2)

The formula for the lengths, l, of the sides of the triangle, given their end points coordinates is presented as follows;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

The lengths of the segments that make up the triangle are therefore;

Between the vertex points (-3, -1) and (2, 3), we have, √((-3 - 2)² + (-1 - 3)²) = √41

Between the vertex points (-3, -1) and (5, 2), we have, √((-3 - 5)² + (-1 - 2)²) = √73

Between the vertex points (2, 3) and (5, 2), we have, √((2 - 5)² + (3 - 2)²) = √10

Therefore;

The perimeter of the triangle = The sum of the lengths of the sides of the triangle =  √41 + √73 + √10

The perimeter of the triangle = √41 + √73 + √10 ≈ 18.1094

∴ The perimeter of the triangle ≈ 18, after rounding to the nearest whole number.

Answer:

the answer is 30 in2

Step-by-step explanation:

Answer:

1 1/2 cups of vinegar

Step-by-step explanation:

Baxter has a recipe for salad dressing that calls for 2/3 cup olive oil, 1/4 cup vinegar, and 4/3 cup puréed avocado. How much vinegar does baxter need to make 6 cups of dressing?

1 cup of dressing = 1/4 cup vinegar

6 cups of dressing = x

Cross Multiply

1 × x = 6 × 1/4

x = 6/4

x = 1 1/2 cups of vinegar

9514 1404 393

Explanation:

In general, a system of equations has a solution that satisfies all of the equations. That is, the solution set is the intersection (and) of the solution sets of the individual equations in the system. Equations involving the absolute value function are no different.

That being said, you need to consider the meaning of an equation involving the absolute value function.

The function itself is piecewise defined:

  [tex]\displaystyle |x|=\left\{ {x, x\ge0} \atop {-x, x<0}} \right.[/tex]

So, any equation involving the absolute value function automatically resolves to two equations, each with its own condition on the function value.

__

Example 1:

  |x+1| > 3

is equivalent to the two disjoint conditional equations ...

  (x +1) > 3  and  (x +1) ≥ 0 . . . . OR

  -(x +1) > 3  and  (x +1) < 0

the first of these has the solution x > 2; the second of these has the solution x < -4. The solution set of this equation is the OR of the two solution sets:

  x < -4  or  x > 2

__

Example 2:

  |x +1| < 3

is equivalent to the two disjoint conditional equations ...

  (x +1) < 3  and  (x +1) ≥ 0 . . . . OR

  -(x +1) < 3  and  (x +1) < 0

The first of these has the solution -1 ≤ x < 2, and the second of these has the solution -4 < x < -1. Again, the solution set of this equation is the OR of the two solution sets. However, we find we can write that union as a single compound inequality:

  -4 < x < 2

__

When an absolute value equation involves more than one absolute value function, then the equation will probably resolve into multiple equations, each defined on its own domain. Sometimes keeping those domains straight can be tedious.

Above, we have considered inequalities. If you have an equation, you need to consider that it will likely resolve to two equations. The solution set will be the OR of the solutions to those two equations.

Example 3:

  |x +1| = 3

is equivalent to the two conditional equations ...

  (x +1) = 3  and  (x +1) ≥ 0 . . . . OR

  -(x +1) = 3  and  (x +1) < 0

The first of these has the solution x = 2; the second has the solution x = -4. The solution set is the OR of these two solutions:

  x = -4  or  x = 2

__

The "and" condition restricts the domain of each of the individual pieces of the equation. The "or" condition applies to the collection of solutions that may exist in each of those restricted domains.

Answer:

there are 101 black marbles

Step-by-step explanation:

Answer:

proportional

Step-by-step explanation:

because none of the number repeat :) hope that helped

Answer:

(4,0)

Step-by-step explanation:

i took the test and i got the wrong answer :/

Answer:

Its C 4,0 I took the test and got 100%

Step-by-step explanation:

Answer:

−2⋅(x+3y−2)

Step-by-step explanation:

Step-by-step explanation:

(6x + 3y + 4) - (8x +9y)

6x + 3y + 4 - 8x - 9y)

-2x -6y + 4 (.°. Take 2 as common)

2(-x -3y + 2)

-x -3y + 2 = 0

or

x + 3y - 2 = 0

Answer:23%

Step-by-step explanation:

1

We are given the data:

2

The definition of percent increase is:

3

We determine the percent of increase:

Answer:

[tex]\displaystyle y =\frac{1}{2}x+5[/tex]

Step-by-step explanation:

Equation of the line

The slope-intercept form of a line is given by:

[tex]y=mx+b[/tex]

Being:

m = the slope of the line

b = the y-intercept

We can also use the point-slope form of the line:

[tex]y - k=m(x-h)[/tex]

Being:

(h,k) = A point that belongs to the line

Two lines of slopes m1 and m2 are perpendicular if:

[tex]m_1.m_2=-1[/tex]

We are given the line:

[tex]y=-2x+5[/tex]

Whose slope is m1=-2

Thus, the perpendicular line has a slope of:

[tex]\displaystyle m_2=-\frac{1}{m_1}[/tex]

[tex]\displaystyle m_2=-\frac{1}{-2}[/tex]

[tex]\displaystyle m_2=\frac{1}{2}[/tex]

The required line contains the point (-8,1), thus the equation is:

[tex]\displaystyle y - 1=\frac{1}{2}(x+8)[/tex]

Removing the parentheses:

[tex]\displaystyle y - 1=\frac{1}{2}x+\frac{1}{2}\cdot 8[/tex]

Adding 1:

[tex]\displaystyle y =\frac{1}{2}x+\frac{1}{2}\cdot 8+1[/tex]

Operating:

[tex]\displaystyle y =\frac{1}{2}x+4+1[/tex]

[tex]\mathbf{\displaystyle y =\frac{1}{2}x+5}[/tex]

Answer:

A and H are correct

Step-by-step explanation:

I took the quiz

The expression for the given statement is n³/16-2+8. Therefore, the options A and H are correct answer.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given statement is “two less than the quotient of a number cubed and sixteen, increased by eight”

"Two less than x" describes "x- 2"

"Quotient of x and y" describes  x/y

"x increased by y" describes x+y

n³/16 is the quotient and 2 is subtracted and 8 is increased which means 8 is added.

So, the expression is n³/16-2+8

= n³/16 +6

When n=4, we get

4³/16 +6

= 4+6

= 10

Therefore, the options A and H are correct answer.

To learn more about an expression visit;

https://brainly.com/question/28170201.

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Answer:  Clara's body eliminated the antibiotic at the same rate as Heidi's body.

Step-by-step explanation:

1) Let's write the data of Clara's table just to have them ready to compare

t (hours)          1               2               3             4               5

f(t) (mg)         236.5    223.73      211.65     200.22       189.41

Change(mg)     -          -12.77       -12.05     -11.43      -10.81

2) Now calculate the amount of medicine as per Heide's formula, 300(0.946)^t:

t (hours)             1             2                 3             4               5

f(t) (mg)           283.8    268.48         253.98     240.26      227.29

Change (mg)                 -15.12          -14.5     -13.72          -12.97

Now you can compare the data and realize that the rate of change of Heide is greater than the rate of change of Clara, meaning that Heide eliminates the medicine faster than Clara.

Answer:

its c bro

Step-by-step explanation:

Answer:

y=19

Step-by-step explanation:

Answer:

hope this helps

Step-by-step explanation:

he need to get it done within the hour

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Explanation:

We have AB = 3 and A'B' = 1.5; the ratio between the two segment lengths is (A'B')/(AB) = (1.5)/(3) = 1/2 = 0.5

Similarly,

You only need to pick one of these statements to be able to find the scale factor. The scale factor of 1/2 or 0.5 indicates that the image is half as small compared to the preimage. More specifically, each segment of the image is half as small compared to the corresponding segment on the preimage.

We don't have numbers for AE and A'E', but the last statement above must be true because the dilation applies to all segment lengths.

The scale factor of this dilation in the given quadrilateral will be equal to 0.5 times.

A polygon is described in geometry as a compact, two-dimensional shape having three or more straight lines. Poly, which means "many," and gon, which means "angle," make up the Greek word "Polygon." Polygons of several kinds can be seen all around us.

As per the given information in the question,

AB = 3 and A'B' = 1.5;

Then, a ratio of the two segment lengths exists.,

(A'B')/(AB) = (1.5)/(3) = 1/2

(A'B')/(AB) = 0.5

In the similar way,

(B'C')/(BC) = (3)/(6) = 1/2

(B'C')/(BC) = 0.5

(C'E')/(CE) = (2.5)/(5) = 1/2

(C'E')/(CE) = 0.5

A'B' is half as small as AB, B'C' is half as small as BC, C'E' is half as small as CE, A'E' is half as small as AE.

To know more about Polygon:

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Answer:

25%

Step-by-step explanation:

plz mark brainliest

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Work Shown:

For any convex quadrilateral, the interior angles always add up to 360.

80+3x+x+3x = 360

7x+80 = 360

7x = 360-80

7x = 280

x = 280/7

x = 40

Answer:

Answer:650 people were surveyed