Identifying parallel and perpendicular lines from equationsThe equations of three lines are given below.Line 1: 2y =5x+3Line 2: 10x + 4y=42Line 3: y = 2x+5For each pair of lines, determine whether they are parallel, perpendicular, or neither.Line 1 and Line 2: O Parallel Perpendicular ONeitherx?Line 1 and Line 3: O Parallel O Perpendicular O NeitherLine 2 and Line 3:Parallel Perpendicular Neither

Answer:

u > 7

Step-by-step explanation:

-2u -6 < -20  Add 6 to both sides

-2u - 6 + 6 < -20 + 6

-2u < -14  Divide both sides by -2.  When you multiply or divide both sides by a negative number, you must flig the sign.

\(\frac{-2u}{-2}\) > \(\frac{-14}{-2}\)

u > 7

Helping in the name of Jesus.

The answer is:

u > 7

In-depth explanation:

You haven't told me what the values of u are, but I'll solve the equation for u.

Add 6 on each side:

\(\bf{-2u-6 < -20}\)

\(\bf{-2u < -14}\)

Divide each side by -1 and reverse the sign:

\(\bf{2u > 14}\)

Now divide each side by 2

\(\bf{u > 7}\)

The total volume of the air space of spherical ball is A = 12.265625 inches³

Given data ,

Since each tennis ball has a diameter of 2.5 inches, the radius of each ball is 1.25 inches.

The air space around the balls can be thought of as a cylinder with a height equal to the diameter of one ball and a radius equal to the radius of one ball.

The height of the cylinder is 2.5 inches, and the radius is 1.25 inches.

The formula for the volume of a cylinder is:

V = πr²h

V = ( 3.14 ) ( 1.25 )² ( 7.5 )

V = 36.796875 inches³

where V is the volume, r is the radius, and h is the height.

So, the volume of the one ball is:

V₁ = ( 4/3 )π(1.25)³

V₁ = 8.177083 inches³

The total volume of three balls is = volume of 3 spherical balls

V₂ = 3V₁ = 3(8.177083) ≈ 24.53125 cubic inches

Therefore, the total volume of the air space around the three tennis balls is approximately A = 36.796875 inches³ - 24.53125 inches³

A = 12.265625 inches³

Hence , the volume of air space is A = 12.265625 inches³

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Answer:

10 two-pointers, 6 three-pointers

Step-by-step explanation:

10 two-pointers, 6 three-pointers

10 shots * 2 points = 20 points

6 shots * 3 points = 18 points

20 + 18 = 38 points

Answer:

47 cm²

Step-by-step explanation:

3(9 - 4) + 8 × 4 = 15 + 32 = 47

Answer:

$350.25 per month

Step-by-step explanation:

We can assume she pays the same amount every month. We know that there are 12 months in a single year, so we can divide to find the unit rate.

4203 / 12 = 350.25

Best of Luck!

Answer:

$350.25 per month

I hope this helps! good luck and  hope you do well!

Answer:

0 hundreds

0 tens

7 ones

.

4 tenths

0 hundredths

8 thousandths

Standard form=7.408

Step-by-step explanation:

Lets first solve (7x1)+(4x1/10)+(8x1/1000)

7+0.4+0.008

Simplify:

7.408

...........the answer is 64

Answer:

Solution : Volume = 96/5π

Step-by-step explanation:

If we slice at an arbitrary height y, we get a circular disk with radius x, where x = y^(1/3). So the area of a cross section through y should be:

A(y) = πx^2 = π(y^(1/3))^2 = πy^(2/3)

And now since the solid lies between y = 0, and y = 8, it's volume should be:

V =  ∫⁸₀  A(y)dy (in other words ∫ A(y)dy on the interval [0 to 8])

=> π ∫⁸₀ y^(2/3)dy

=> π[3/5 * y^(5/3)]⁸₀

=> 3/5π(³√8)⁵

=> 3/5π2^5

=> 96/5π ✓

Answer:

about 798.41 km/h

Step-by-step explanation:

\( \frac{10712}{13 + \frac{25}{60} } = 798.41\)

Answer:

the interest is $26.03

Step-by-step explanation:

The computation of the interest is shown below:

As we know that

Simple interest = Principal × rate of interest × number of days ÷ total number of days

= 7310 × 10% × 13 ÷ 365

= $26.03

We assume that in a year there are 365 days

Hence, the interest is $26.03

The same would be considered

Answer: B 2.187 have a good day

Step-by-step explanation:

because i say and it was right for me

Answer:

You're pretty sure that your candidate for class president has about 55% of the votes in the entire school. but you're worried that only 100 students will show up to vote. how often will the underdog (the one with 45% support) win? to find out, you set up a simulation.

a. describe-how-you-will-simulate a component.

b. describe-how-you-will-simulate a trial.

c. describe-the-response-variable

Step-by-step explanation:

Part A:

A component is one voter's voting. An outcome is a vote in favor of our candidate.

Since there are 100 voters, we can stimulate the component by using two random digits from 00 - 99, where the digits 00 - 64 represents a vote for our candidate and the digits 65 - 99 represents a vote for the under dog.

Part B:

A trial is 100 votes. We can stimulate the trial by randomly picking 100 two-digits numbers from 00 - 99.

And counted how many people voted for each candidate.  Whoever gets the majority of the votes wins the trial.

Part C:

The response variable is whether the underdog  wins or not.

To calculate the experimental probability, divide the number of trials in which the simulated underdog wins by the total number of trials.

Answer:

500m square

Step-by-step explanation:

first we know that to find the area of something we have to multiply so I did 25×20 and i got 500

Answer:

C. 3x + 2(2x + 3) = 9

Step-by-step explanation:

We are given the following relation:

y = 2x + 3

And we want to substitute into:

3x + 2y = 9.

So

\(3x + 2(2x + 3) = 9\)

Which is given by option C.

Step-by-step explanation:

The slope of g(t) as (-2,2) is given by

\(g'(t)=2t+6\)

\(g'(-2)=2(-2)+6=2\)

Since the normal is parallel to the tangent of f(t) at (1, 1/2),

The tangent line of f(t) has a slope of

\(\dfrac{d}{dx}f(t)=n+2mt=2\)

At point (1, 1/2), we know

\(f'(1)=n+2m=2\)

\(f(1)=2+n(1)+m(1)^2=2+n+m=\frac12\)

Solving,

\(n=5, m=-\frac72\)

Answer:

20

Step-by-step explanation:

it is because its a even number XD

Answer:

True

Step-by-step explanation:

The null space of matrix is set of all solutions to matrix. The linearly independent vectors forms subset which are spanned and forms the null space. The null space of vector can be found by reducing its echelon. The non zero rows formed are the null spaces of matrix.

Answer:

h = 9.99in

Step-by-step explanation:

...

Answer:

x = 145

Step-by-step explanation:

x and 35° lie on a straight line and are supplementary angles , sum to 180°

x + 35 = 180 ( subtract 35 from both sides )

x = 145

Therefore, the length of a rectangle is 13m and width is 8m

A region's size on a planar or curved surface is described mathematically as its area. In contrast to a plane region or plane's area, which refers to a form or planar lamina, a surface area is the size of an open surface or the edge of a three-dimensional object.

Here,

width=x

length=2x-3

Area =l x w

104=(2x-3)(x)

104=2x^2-3x

52=x^2-3/2(x)

52+9/16=x^2-3/2(x)+9/16

841/16=(x-3/4)^2

29/4=x-3/4

x=32/4

x= 8m

Thus width = 8m

length =  2(8)-3  = 13m

Therefore the length of a rectangle is 13m and width is 8m

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Answer:

A. Compound Interest

Step-by-step explanation:

Compound interest is interest paid on both the principal and previously earned interest.

Compound interest earned on both the principal and any previously earned interest. Therefore, the correct answer is option A.

An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving. So, if you're a borrower, the interest rate is the amount you are charged for borrowing money, shown as a percentage of the total amount of the loan.

Compound interest is the interest on savings calculated on both the initial principal and the accumulated interest from previous periods.

The formula used to find the compound interest = \(A=P(1+\frac{r}{100})^{nt}\)

Therefore, option A is the correct answer.

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Answer:84

Step-by-step explanation:

Answer:

84 hamburgers were sold

Answer:

1. Commutative property

2. Associative property

Answer:

5

Step-by-step explanation:  3. You can make the addition easier by finding a common denominator 12.

7/4 + 1/2 + 5/3 + 1/3 + 1/4 + 1/2 --> 21/12 + 6/12 + 20/12 + 4/12 + 3/12 + 6/12  need to multiply every numerator and denominator by the same number until the denominator is equal to 12. When it is 12 you can add up all the fractions to get 5.

The length of the segment AC is 15 units and the coordinate of point B is (-6, 7)

The length of the segment DF is √68  units and the coordinate of point E is (-6, -5)

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

A = (-10, 10) and (2, 1)

The length AC is then calculated as

AC = √[Δx² + Δy²]

So, we have

AC = √[(-10 - 2)² + (10 - 1)²]

Evaluate

AC = 15

The point B is calculated using

B = 1/(m + n) * (mx₂ + nx₁, my₂ + ny₁)

Where

m : n = 1 : 2 & x, y are the coordinates of A and B

Substitute the known values in the above equation, so, we have the following representation

B = 1/3 * (1 * 2 + 2 * -10, 1 * 1 + 2 * 10)

Evaluate

B = (-6, 7)

Hence, the coordinate of point B is (-6, 7)

Here, we have

(-10, -6) and (-2, -4)

The length DF is then calculated as

DF = √[Δx² + Δy²]

So, we have

DF = √[(-10 + 2)² + (-6 + 4)²]

Evaluate

DF = √68

The point E is calculated using

E = 1/(m + n) * (mx₂ + nx₁, my₂ + ny₁)

Where

m : n = 1 : 1 & x, y are the coordinates of E and F

So, we have

E = 1/2 * (1 * -2 + 1 * -10, 1 * -4 + 1 * -6)

Evaluate

E = (-6, -5)

Hence, the coordinate of point E is (-6, -5)

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Step-by-step explanation:

let's simply do the multiplications and then compare with the original.

(x-m)² + n

right ?

or is it

\( {(x - m)}^{2 + n} \)

let's go for the first.

x² - 2mx + m² + n = x² - 3x

-2mx + m² + n = -3x

fun there we see two things :

-2m = -3

m = 3/2

and

m² + n = 0

(3/2)² = -n

9/4 = -n

n = -9/4

so our transformed expression looks like

(x - 3/2)² - 9/4

Answer:

is TURNS

Step-by-step explanation:

A figure but does not change its shape and size is Turns.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items.

A flip is a geometric movement that involves turning an object over in a straight line to create a mirror image. The distance between each point on an object and its corresponding point on the picture is equal. A reflection is another name for a flip.

Thus, thus required transformation is Turns.

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Answer:

44

Step-by-step explanation:

ANSWER

(x + 15)(x - 15)

EXPLANATION

The difference of squares is equivalent to the product of the sum and subtraction of the bases,

So, to factor this difference of squares, we have to find the principal square roots of each term,

So this is,

Hence, the factored form is (x + 15)(x - 15).