Решите уравнение: а) 6x = 18;
б) –3x = 15; в) 7x = -63;
г) 5x - 3 = 12; д) — 4х + 1 = 13; е) -x+ 9 = 16.​

Step-by-step explanation:

I think it's D 1 1/2......

Answer:

12 cm.

Step-by-step explanation:

to find the answer, first find the scale factor. the scale factor is 4/3. Then, multiply with 9 to find the length. 9x4/3=12.

Answer:

$32.07

Step-by-step explanation:

Just add them together.

Answer:

35

Step-by-step explanation:

You can easily graph this in desmos for a visual understanding.

The slope of a line is received by (y2-y1)/(x2-x1). Assuming that Days is X and the cost is Y, we get (160-90)/(4-2), and it makes 70/2, which equates out to 35. Because the prices become more and more expensive, the slope is positive 35.

The missing statement and the reason in the two-column proof:

EC = BC; property iof isosceles triangles

The corret answer is an option (A)

A two-column proof to show that AB/AD = BC/DC is:

        Statement                                        Reason

       ∠1 ≅ ∠2                                               given

       ∠1 ≅ ∠5                          alternate interior angles theorem

       ∠3 ≅ ∠4                                vertical angles theorem

ΔABD is similar to ΔCED                  AA similarity

  AB/AD = EC/DC                         property of similar triangles

        ∠2 ≅ ∠5                     substitution property of congruency

         EC = BC                          property iof isosceles triangles

        AB/AD = BC/DC               substitution property of equality

Therefore, the correct answer is an option (A)

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Find the complete question below.

Answer:

PQ = 4

Step-by-step explanation:

\(tan(30)=\frac{RQ}{8}\\RQ=8tan(30)\\RQ=\frac{8}{3}\\RQ=\frac{8}{3}/3\\HYPOTENUSE=8\\PQ = 4\\\)

The maximum height of 32 feet is reached after 1.25 second of flight by the rocket

The function is given as

h(t) = -16t² + 40t + 7

Differentiate the function and set it to 0

-32t + 40 = 0

Add 32t to both sides

32t = 40

Divide both sides by 32

t = 1.25

Hence, the time is 1.25 seconds

In part (a) of this solution, we have

t = 1.25

Recall that

h(t) = -16t² + 40t + 7

So, we have

h(1.25) = -16(1.25)² + 40(1.25) + 7

This gives

h(1.25) = 32

Hence, the maximum height is 32 feet

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The time taken for the person to get to school based on the equation will be 7 minutes.

From the information given, the equation is given as:

g(x) = x⁴ - 3x² + 4x - 5

Then, we'll put 2 as x. This will be:

= 2⁴ + 3(2)² + 4(2) - 5

= 16 - 12 + 8 - 5

= 7

Therefore, the time taken for the person to get to school based on the equation will be 7 minutes.

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Answer:

x1=2-radical 34/5 x2=2+radical 34/5

Step-by-step explanation:

Answer:

the statement 'the dilation changed the orientation of the figure' is NOT true

Step-by-step explanation:

the only transformations that can change a figure's orientation is a reflection, not a dilation like is shown.

the first statement is true because it is an enlargement of the shape

the third is true (look at point I and I', point I is (2,2) and becomes (4,4) which follows 2x 2y)

and the fourth is true because the ratios are 1:1:1:1 for both shapes

Step-by-step explanation:

1. 9

2. 105

3. 8

4.0

Mark me branliest

Answer:

−3/2

Step-by-step explanation:

Hope this helps

:D

I'll do the first problem to get you started

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

Part A

There are 9 red and 9 blue.

The worst case scenario is that she selects 3 red in a row. This means that to be guaranteed to have 3 blue, she must select 3+3 = 6 balls.

It is possible that the first three could be blue, but it likely won't be the case. It's best to plan for the worst case scenario.

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

Part B

The worst case scenario is that she pulls out say a red ball, then a blue, then red, and so on. The alternating color selections mean that we don't have three balls of the same color until we get to selection 5.

We could write the sequence like this

RB RB B

or like this

RB RB R

and we see that regardless of what the fifth selection is, we are guaranteed to have three of the same color. The first four items don't really matter. We could have RB changed to BR and it would be the same idea.

Answer:

2166in^2

Step-by-step explanation:

S=6(19)^2=2166

Fixed rate only have fixed payments for at least the first 6 years. Therefore, option A is the correct answer.

A fixed-rate mortgage is a home loan option with a specific interest rate for the entire term of the loan. Essentially, the interest rate on the mortgage will not change over the lifetime of the loan and the borrower's interest and principal payments will remain the same each month.

An adjustable-rate mortgage, also called an ARM, is a home loan with an interest rate that adjusts over time based on the market. ARMs typically start with a lower interest rate than fixed-rate mortgages, so an ARM is a great option if your goal is to get the lowest possible mortgage rate starting out.

A balloon mortgage begins with fixed payments for a specific period and ends with a final lump-sum payment. The one-time payment is called a balloon payment because it's much larger than the beginning payments.

Therefore, option A is the correct answer.

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"Your question is incomplete, probably the complete question/missing part is:"

A bank offers 3 mortgage.

Option1: Fixed rate mortgage at 4% for 15 years.

Option 2: Adjustable rate mortgage at 2.99% for 15 years with terms 6/1 and a cap of 2/5

Option 3: Balloon mortgage at 5% with terms 15/5.

Which mortgage (s) will have fixed payments for at least the first 6 years?

A) Fixed rate only

B) Fixed rate and the balloon only

C) Fixed rate and adjustable rate only

D) Fixed rate, adjustable rate, and balloon.

The required real-world problem is below that can be solved using the equation.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

A construction company is building a new housing development and wants to know how many houses they need to build to reach a certain profit margin. They know that each house costs $9 to build and they want to sell each house for $21.

If they build x number of houses, the equation to calculate their profit is:

21x - (4x + 9) = profit.

To reach a certain profit margin, the company can set that equation equal to a specific value and solve for x.

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Answer:

<YXZ and <TUS

Step-by-step explanation:

An exterior angle is found outside the parallel line. When you have two exterior angles that are opposite each other along the transversal, they are referred to as alternate exterior angles.

Therefore, the only pair of angles from the given options that flare alternate exterior angles are:

<YXZ and <TUS

Answer:

c

Step-by-step explanation:

Given that, y varies indirectly as the square of x, the value of y when x equal 8 is 2.

Indirect variation is expressed as;

y ∝ 1/x

Given that;

y ∝ 1/x²

y = k/x²

Where k is the proportionality constant.

Given that;

First, we determine the proportionality constant.

y = k/x²

8 = k/4²

8 = k/16

k = 128

Now, we find y when x = 8

y = k/x²

y = 128 / 8²

y = 128 / 64

y = 2

Given that, y varies indirectly as the square of x, the value of y when x equal 8 is 2.

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Answer:

the son age is 13band Evans age is 52 years old at present day

Dan is 12 years old.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the Age of Dan is x years

Mr. Evans Age = 4x

If Mr. Evans was 46 years old 2 years ago

The, Present age of Mr. Evans = 48 years

So, Dan's Age = 48/4

                        = 12 years.

Hence, Dan is 12 years old.

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Answer:

0.75p=c

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

3√5/√11 = 2.02

3√55/11 = 2.02

so,

3√5/√11 = 3√55/11

In ∆ABC,

Angle A = 60°

Angle B = 45°

The measurement of Angle C.

We know that the sum of all the interior angles of a triangle is 180°.

Angle A + Angle B + Angle C = 180°

By putting the respected values, we get

60° + 45° + Angle C = 180°

or, 105° + Angle C = 180°

By transposition method, we get

Angle C = 180° - 105°

Angle C = 75°

The measurement of Angle C is 75°

The inequality that represents p, the number of people the theater can seat is p ≤ 25

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

A movie theater can seat a maximum of 25 people

This means that

Maximum =  25 people

In other words, the movie theatre can allow 25 or less people to attend a movie

In inequality, 25 or less means less than or equal to 25

When represented as an inequality expression, we have

≤ 25

Using the variable p, we have

p ≤ 25

Hence, the inequality is p ≤ 25

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Answer:

58.80

Step-by-step explanation:

84 x .7(70%) =58.80

Step-by-step explanation:

even number=6

A=12

:.6/12

=1/2

Answer:

  71

Step-by-step explanation:

The congruency statement tells you ...

  KL = NO

  5x -3 = 4x +7

  x = 10 . . . . . . . . add 3-4x to both sides

Then that longest side is ...

  4(10)+7 = 47

Corresponding sides are the same length in both triangles. The perimeter is the sum of side lengths:

  P = 14 + 10 + 47 = 71

The perimeter of ΔKLM is 71 units.

_____

Additional comment

A triangle with these side lengths cannot exist. The short sides are too short to connect to the ends of the long side. (The long side must be between 14 and 24 units.) I suggest you talk to your teacher about this problem.

Answer:

1,600 sq. inches

Step-by-step explanation:

Area of a triangle:

bh/2

= (20 x 30)/2

= 600/2

= 300

Area of square:

s^2

= 20^2

= 400

Four triangles:

300 x 4

= 1200

Total:

1200 + 400

= 1600

Answer:

\((5x)^2+(4y)^2\)

Step-by-step explanation:

\(25x^2+16y^2=\\(5x)^2+(4y)^2\)

Hope this helps!