2♥ Next → Parallel and Perpendicular Lines: Mastery Test
2
Consider the equation.
y = 42 - 3
Which graph shows a line that is perpendicular to the line defined by the given equation?

Answer:

-10x-15

Step-by-step explanation:

So first we start off with 5(-2x-3)

Next, we distribute the 5 to the -2x to get -10x.

Next, we distribute the 5 to the -3 to get -15.

Therefore,

-10x-15 is correct

Answer:

-10x-15

Step-by-step explanation:

It's 10x-15, because you just need to simplify it.

It is the same thing as (5 x (-2x)) - (5 x 3), if you use the distributive property.

that is the same as -10x-15

After answering the presented questiοn, we can cοnclude that The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape

An equatiοn in mathematics is a statement that states the equality οf twο expressiοns. An equatiοn is made up οf twο sides that are separated by an algebraic equatiοn (=). Fοr example, the argument "2x + 3 = 9" asserts that the phrase "2x Plus 3" equals the value "9." The purpοse οf equatiοn sοlving is tο determine the value οr values οf the variable(s) that will allοw the equatiοn tο be true.

The fοrmula tο find the area and perimeter οf a twο-dimensiοnal shape depends οn the type οf shape. Here are sοme cοmmοn fοrmulas:

1. Rectangle:

• Area: A = length x width

• Perimeter: P = 2(length + width)

2. Square:

• Area: A = side x side (οr A = side²)

• Perimeter: P = 4 x side

3. Circle:

• Area: A = π x radius²

• Circumference (perimeter): C = 2π x radius (οr C = π x diameter)

4. Triangle:

• Area: A = (base x height) / 2

• Perimeter: P = side1 + side2 + side3

5. Trapezοid:

• Area: A = ((base1 + base2) x height) / 2

• Perimeter: P = side1 + side2 + side3 + side4

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The ratio of the mystery novel to all novels from Addison's novel collection, is D. 4 to 11.

Mathematicians use the term "ratio" to compare two or more numbers. It serves as a comparison tool to show how big or tiny an amount is in relation to another. Two quantities are compared using division in a ratio. In this case, the dividend is referred to as the "antecedent" and the divisor as the "consequent."

The ratio of the mystery novels to all novels can therefore be found by first finding the total number of novels :

= 2 + 4 + 5

= 11 novels

The ratio would then be:

Number of mystery novels : Number of all novels

                  4                         :               11

Which is 4 to 11.

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Answer:

The unit rate per week is $4.

Step-by-step explanation:

Mahua has money automatically deposited into a savings account each week. After 5 weeks, she has $20. After 7 weeks, she has $28. The unit rate is measured in dollars per week. What is the constant of proportionality?​

The answer is 4

Using multiplication signal rules, it is found that:

A: Emma's statement is always false.

B: The result is always negative.

C: Emma's statement is always true.

The rule used for this exercise is as follows:

Part A:

Two examples are:

\(-2.5(-3.8)(-2) = 9.5(-2) = -19\)

\(-2.5(-2)(-0.7) = 5(-0.7) = -3.5\)

Part B:

The rule is that the result is always negative.

Part C:

Two examples are:

\(-2.5(-3.8)(2) = 9.5(2) = 19\)

\(-2.5(-2)(0.7) = 5(0.7) = 3.5\)

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Answer:

100,300,500

Step-by-step explanation:

Answer:

There is no attached table, however

1 cm = 10 mm

3 cm = 30 mm

5 cm = 50 mm

10 cm = 100 mm

30 cm = 300 mm

50 cm = 500 mm

Therefore, the potential numbers in the millimeters column are:

10, 30, 50   and/or   100, 300, 500

(depending upon the numbers in the centimeter column)

Answer:

35

Step-by-step explanation:

62/31=2

70/2=35

Answer:

63

Step-by-step explanation:

Simplifying the expression,

→ (2+1) × 42 ÷ 2

→ 3 × 42 ÷ 2

→ 126 ÷ 2 = 63

Hence, the answer is 63.

Answer:

c trust me

and well i just did that 20 mins ago

Answer:

C for sure hope you get it

\(\dfrac{7!4!}{5!3!}=6\cdot7\cdot4=168\)

d) a = 5 ; b = 5√3

Hi there !

30°-60°-90°  Theorem

1)

side opposite the 90° angle = 2a

10 = 2a => a = 10/2 => a = 5  

2)

side opposite the 60° angle => b = 5√3

Good luck !

Answer:

270 Different Combo's

Step-by-step explanation:

Answer:

20*4=80 + 20 = 100

Step-by-step explanation:

I can wear five different shirts, for each shirt, I can have any of four different pants.

That’s 5*4=20 outfits.

But I can wear two shirts, I often do. For each of five shirts worn underneath, there are four shirts I can wear over that, so there are twenty shirt pairings, and again, four different pants to wear with each pair, that’s 20*4=80 + 20 = 100

The probability of rolling the dice and having the three faces land on top is 1/4.

The probability of an occurrence is a number used in science to describe how likely it is that the event will take place.

In terms of percentage notation, it is expressed as a number between 0 and 1, or between 0% and 100%.

The higher the likelihood, the more likely it is that the event will take place.

The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n. In order to better grasp probability, let's look at a straightforward application.

So, we are aware of the formula:

P(E) = Favourable events/Total events

Now, substitute the values and calculate as follows:

P(E) = Favourable events/Total events

P(E) = 3/12

P(E) = 1/4

Therefore, the probability of rolling the dice and having the three faces land on top is 1/4.

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Complete question:

A fair die has 12 sides and they are labeled 1, 2, 3, …, 12.  What is the probability of rolling the die and it lands with the 3 faces on top?

The point in the solution set from the graph is (0, 0)

From the question, we have the following parameters that can be used in our computation:

y < -5/2x - 2

y ≥ -1/2x + 2

Next, we plot the graph of the system of the inequalities

The graph is given

From the graph, we have solution to the system to be the shaded region

The point in the solution set from the graph is (0, 0)

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Answer: 735 squared ft

Step-by-step explanation:

First you find the actual dimensions. Each inch is 7 ft so that means you multiply the inches by 7 to find the actual dimensions.

3 × 7 = 21

5 × 7 = 35

Then to find the area you multiply the real dimensions together.

21 × 35 = 735

Answer:

About 44.64.

Step-by-step explanation:

Variance and standard deviation:

The standard deviation is the square root of the variance.

In this question:

Variance of 1992.8. So

\(s = \sqrt{1992.8} = 44.64\)

So about 44.64.

Answer:

Step-by-step explanation:

3x  +  5  +  x  -  25  =  180

4x  -  20  =  180

4x  =  200

x  =  50

Answer:

what is the determinant of human value

Answer:

Exponential model

Y = y0e-0.693(t½)

Amount remaining after 4 days

5.9413 grams

Step-by-step explanation:

The formula will he given by

Y = y0e-k(t½)

The half life t½ for this radioactive substance is a day.

Initial mass y0 = 95 grams

Mass after one day = 95/2

Mass after one day = 47.5

.

Value of the decay constant k is not given, let's look for k.

Y = y0e-k(t½)

47.5= 95e-k(1)

47.5/95= e-k(1)

0.5= e-k(1)

In 0.5 = -k

-0.693= -k

0.693 = k

Y = y0e-0.693(t½)

Amount remaining after 4 days

Y = y0e-0.693(t½)

Y = 95e-0.693(4)

Y= 95e-2.772

Y= 95(0.06254)

Y= 5.9413 grams

Answer:

6.11 seconds

Step-by-step explanation:

Given

\(f(t) = -4.9t^2 + 28t + 12\)

Required

When will it hit the ground?

When it hits the ground, f(t) = 0.

So, we have:

\(0 = -4.9t^2 + 28t + 12\)

Solve quadratic equation using formula

\(t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}\)

\(t = \frac{-28 \± \sqrt{28^2 - 4*-4.9*12}}{2*-4.9}\)

\(t = \frac{-28 \± \sqrt{1019.2}}{-9.8}\)

\(t = \frac{-28 \± 31.92}{-9.8}\)

Split

\(t = \frac{-28 + 31.92}{-9.8}\) or \(t = \frac{-28 - 31.92}{-9.8}\)

\(t = \frac{3.92}{-9.8}\) or \(t = \frac{-59.92}{-9.8}\)

\(t = -0.4\) or \(t = 6.11\)

Time can not be negative. So:

\(t = 6.11\)

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Answer:

1. 2/5

Step-by-step explanation:

When it says the ratio is 5 to 2, that means 5 is always first:

5 : 2 is correct

5/2 is correct

10 : 4 is correct (multiplied 2 on both sides)

2/5 is incorrect because 2 is first. That means that this ratio would be 2 to 5, not 5 to 2.

Answer:

2/5

Step-by-step explanation:

because you are not supposed to flip the two numbers. You need to keep them in the same order.

Sorry, if this isn't the greatest answer. Its my first time.

Mr. Kazoo needs to buy 6 boards to complete his fencing as he can not buy exactly 5.71 boards.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables.

We can form numerical expressions from statements.

Given, Mr. Kazoo is planning to build a fence.

The gate is 40 inches wide.

Therefore, He needs to buy (40/7) = 5.71 boards.

But, He can not buy a board 0.71 part of the whole part, So he needs to buy 6 boards to complete his fencing.

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Answer:

-1 or 7

Step-by-step explanation:

brainliest plss

The value of m∠Q as shown in the right-angled triangle below is 62.59°.

The Formula used is:

m∠Q = cos⁻¹(s/r)........................ (1)

Where:

s = 29 m

r = 63 m

Now, Substitute these values into equation 1

m∠Q = cos⁻¹(29/63)

m∠Q = cos⁻¹(0.46)

m∠Q = 62.59°

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For a curve to be a density curve, it must meet certain conditions such as it should be non-negative, and the area under the curve should equal 1. Furthermore, the curve should be continuous and smooth, and there should be no values outside the range of the data.

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The coordinates of the vertices of trapezoid J'K'L'M' with its graph include the following:

J' (-3, 0).

K' (-3, -3).

L' (-8, 6).

M' (-8, 1).

In Mathematics and Geometry, the rotation of a point 90° about the center (origin) in a clockwise direction would produce a point that has these coordinates (y, -x).

By applying a rotation of 90° clockwise to the vertices of trapezoid JKLM, the coordinates of the vertices of the image are as follows:

(x, y)               →                ((y - b) + a, -(x - a) + b)

J (2, 1)           →     ((1 - 3) - 1, -(2 + 1) + 3) = (-2 - 1, -3 + 3) = J' (-3, 0).

K (5, 1)           →     ((1 - 3) - 1, -(5 + 1) + 3) = (-2 - 1, -6 + 3) = K' (-3, -3).

L (8, -4)           →     ((-4 - 3) - 1, -(8 + 1) + 3) = (-7 - 1, -9 + 3) = L' (-8, 6).

M (1, -4)           →     ((-4 - 3) - 1, -(1 + 1) + 3) = (-7 - 1, -2 + 3) = M' (-8, 1).

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