PLEASE HELP ASAP


what is an equation of the line that passes through the points (2,-3) and (2,6)

Answer:

x = 10.5

Step-by-step explanation:

Intersecting chord theorem : If two chords intersect within a circle then the product of the measures of the segemnts made up of the chords are equal to each other.
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Applying this theorem we would create an equation which would be 2 × x = 7 × 3

We then solve for x

2 × x = 7 × 3

==> simplify both sides

2x = 21

==> divide both sides by 2

x = 10.5

If ɑ and β are roots of 2x² - 5x + 7, then

2x² - 5x + 7 = 2 (x - ɑ) (x - β)

Expanding the right side and matching up coefficients, it follows that

2ɑβ = 7   ⇒   ɑβ = 7/2

-2 (ɑ + β) = -5   ⇒   ɑ + β = 5/2

Now consider a polynomial whose roots are 3ɑ + 4β and 4ɑ + 3β, which can be written with factorization

(x - (3ɑ + 4β)) (x - (4ɑ + 3β))

and expanded to get

x² - (7ɑ + 7β) x + (3ɑ + 4β) (4ɑ + 3β)

Expand/factor the coefficients to rewrite them in terms of the known relations above.

x² - 7 (ɑ + β) x + (12ɑ² + 25ɑβ + 12β²)

x² - 7 (ɑ + β) x + 12 (ɑ² + β²) + 25ɑβ

Recall the square of a binomial,

(x + y)² = x² + 2xy + y²

so we rewrite the latter quadratic as

x² - 7 (ɑ + β) x + 12 ((ɑ + β)² - 2ɑβ) + 25ɑβ

x² - 7 (ɑ + β) x + 12 (ɑ + β)² + ɑβ

Then substituting the expressions whose values we know, we get

x² - 7 (5/2) x + 12 (5/2)² + 7/2

= x² - 35/2 x + 157/2

which we can multiply by 2 to get integer coefficients like in the given quadratic,

= 2x² - 35x + 157

Answer:

The to 42 x 42 is 1764

Step-by-step explanation:

22 x 22 = 484

Answer:

[tex]y = -6x[/tex]

Step-by-step explanation:

We can see that with every [tex]x[/tex] value that increases, the [tex]y[/tex] value decreases by [tex]-6[/tex]. Thus the slope is [tex]-6[/tex], which would make the equation: [tex]y = -6x[/tex].

Answer:

Original price = t = $24

Expression = t + 0.05t

—-

New price = t + 0.05t = 24 + (0.05*24) = $25.20

—-

Have a nice day!!

Answer:

$25.20

Step-by-step explanation:

Original price = t = $ 24

New price = 1.05*24

                 = 25.20

Just multiply 1.05 by 24

Answer:

8.2 * 10^-3 is the greatest and 5.2 * 10^-6 is the smallest.

Step-by-step explanation:

Answer:

120h = 5 days

240h = 10 days

144h = 6 days

720m = 1/2 (half a day)

13w = 91 days

please make this brainliest

Answer:

Length = 12 ft.

Width = 8 ft.

Step-by-step explanation:

Given :

Let :

Solving :

The dimensions are :

Length = 12 ft.

Width = 8 ft.

Answer:

2985 yes votes.

Explanation:

Yes : No

5x : 8x

Total Ratio: 5x + 8x = 13x

Solve for x

13(x) = 7761

divide both sides by 13

x = 597

Yes-Votes: 5(x) = 5(597) = 2985

No-Votes: 8(x) = 8(597) = 4776

Answer:

A= 3.14

Step-by-step explanation:

The formula for finding the area of a circle is A=  π r²

A= 3.14*1²

Answer:

Step-by-step explanation:

what is the mean of 10,16,14,12and 16?

Find the sum of the values by adding them all up.

Divide the sum by the number of values in the data set.

10 + 16 + 14 + 12 + 16 = 68

68 : 5 = 13.6

or

(10 + 16 + 14 + 12 + 16) : 5 = 13.6

here i hope this exaple helps but for the time being while i solve it heres this example

if you currently owe $500 on your credit card throughout the month and your current APR is 17.99%, you can calculate your monthly interest rate by dividing the 17.99% by 12, which is approximately 1.49%. Then multiply $500 x 0.0149 for an amount of $7.45 each month.

Answer:

(0, -12)

Step-by-step explanation:

The y-intercept of a line can be found when taking x = 0.

Therefore,

The y-intercept of the line is (0, -12)

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]

       ◈ What is the y-intercept of the line, [tex]\bold{y=\dfrac{x}{5} -12}\textit{?}[/tex]

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]

    ◈ Here's a shortcut to find the y-intercept.

Here's the equation:-

[tex]\large\textbf{y=x/5-12}[/tex]

         [tex]\square\!\!\!\!\!\!\triangle[/tex] The y-intercept is a negative or positive constant that's added to or subtracted from the slope.

       Constant:- A number with no variables next to it (for example, in the expression d-12, -12 is the constant)

So we conclude that

             [tex]\Huge\textit{The y-intercept is -12}[/tex].

The y-intercept is usually written as (0, -12).

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

Answer:

693.19 m^2.

Step-by-step explanation:

This consists of 2 triangles and 3 rectangles,

Surface area = 2 * 1/2 * 3 * 9 + 9*31 + 3*31 + 9.49*31

=  27 + 279 + 93 + 294.19

= 693.19 m^2

Answer:

we are given A collector’s item is purchased for $150so, its value increases by 3% each yearso, t is time in yearsLet's assume cost of item after t years is C(t)so, we can use formula now, we can plug values so, equation is After doubling C(t)=2*150=300so, we can set C(t)=300and then we can solve for twe get so, doubling time is 23.44977 years

Answer:

B works ; it starts at 150, is positive, and slowly reaches 300

Step-by-step explanation:

Edge

Answer:

- 8.14 = m = slope

Step-by-step explanation:

We know from the diagram that  8x-7  + 5x+18  = 180    so x = 13

  so 8x -7  =  97

slope = tan 97 = -8.14

Solid is a substance that can be measured. The required volume of a solid is 90 cubic cm

The formula for calculating the volume of a solid ie expressed as:

V = lwh

l is the length

w is the width

h is the height

For the given figure;

Volume =  (11 * 2 * 3) + (2 * 3 * 4)
Volume = 66 + 24
Volume = 90 square cm

The required volume of a solid is 90 cubic cm

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Answer:

168 [tex]cm^{3}[/tex]

Step-by-step explanation:

Start by finding the whole prism's volume. 9 x 3 x 8 = 216 Then find the volume of the missing part. 8 x 6 x 1 = 48. Subtract the missing volume from the whole volume. 216 - 48 = 168

Answer:

12.

Step-by-step explanation:

There are 3 * 4 = 12 possible outcomes

for example

Walk / Red

Walk/Green

Walk/Blue

Walk/Orange

- and there are  4 similar outcomes for Run and Stop.

1. A reasonable price for my friend to sell the car is $13,480.

2. This price is determined as an average of the prices of similar cars.

An average is a typical value in a dataset.

An average is the mean of a set of numbers.

The average value can be computed by summing the set of numbers and dividing the result by the number of items.

Prices of similar cars:

A. 13,500

B. 12,900

C. 15,300

D. 13,700

E. 12,000

Sum = $67,400

Average = $ 13,480 ($67,400/5)

Thus, a reasonable price for my friend to sell the car is $13,480, which is the average price of similar cars.

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Hence, [tex]x=13cm[/tex].

What is the triangle?

A triangle is a two-dimensional shape, in Euclidean geometry, which is seen as three non-collinear points in a unique plane.

Here given that,

Perpendicular is [tex]12cm[/tex]

Base is [tex]5cm[/tex]

Hypotenuse is [tex]x[/tex]

As we know,

[tex]H^2=B^2+P^2[/tex]      ........[tex](1)[/tex]

Now substitue these values in equation [tex](1)[/tex], we get

[tex]H^2=(5)^2+(12)^2\\\\x^2=25+144\\\\x^2=169\\\\x=\sqrt{169}\\\\x=13cm[/tex]

Hence, [tex]x=13cm[/tex].

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Check the picture below.

Answer:

[tex]-20\sqrt{3}-5\sqrt{2}[/tex]

Step-by-step explanation:

Given expression:

[tex]4 \sqrt{12}-\sqrt{50}-7\sqrt{48}[/tex]

Rewrite 12 as 4 · 3  and 50 as 25 · 2 and 48 as 16 · 3 :

[tex]=4 \sqrt{4 \cdot 3}-\sqrt{25 \cdot 2}-7\sqrt{16 \cdot 3}[/tex]

[tex]\textsf{Apply radical rule} \quad \sqrt{a \cdot b}=\sqrt{a}\sqrt{b} :[/tex]

[tex]=4 \sqrt{4}\sqrt{3}-\sqrt{25}\sqrt{2}-7\sqrt{16}\sqrt{3}[/tex]

As [tex]\sqrt{4}=2[/tex] and [tex]\sqrt{25}=5[/tex] and [tex]\sqrt{16}=4[/tex] then:

[tex]=4 \cdot 2 \sqrt{3}-5\sqrt{2}-7 \cdot 4\sqrt{3}[/tex]

Simplify:

[tex]=8\sqrt{3}-5\sqrt{2}-28\sqrt{3}[/tex]

Collect like terms:

[tex]=8\sqrt{3}-28\sqrt{3}-5\sqrt{2}[/tex]

Combine like terms:

[tex]=-20\sqrt{3}-5\sqrt{2}[/tex]

Answer:

[tex]38.47 {m}^{2} [/tex]

Step-by-step explanation:

The formula to find the area of a circle is

[tex] a= \pi {r}^{2} [/tex]

We know that

[tex]\pi = 3.14 \: \: \: \: \: \: r = 3.5[/tex]

Therefore the area is

[tex] a= \pi {r}^{2} \\ \\ a = (3.14) {(3.5)}^{2} \\ \\ a = 3.14 \times 12.25 \\ \\ a = 38.47 {m}^{2}[/tex]

Answer:

$127.32

Step-by-step explanation:

Selling price= $139.99

Sale discount= 15% = $139.99 * 0.15 = $21

Discounted price= $139.99 - $21 = $118.99

Sales tax added= 7% = $118.99 * 0.07 = $8.33

Victoria has to pay = $118.99 + $8.33 = $127.32 so she has enough money to buy it with $2.68 left

Answer: The answer is the first option:  [tex]a > -21\frac{1}{3}[/tex]

Step-by-step explanation:

[tex]\frac{3}{4}[/tex] × [tex]a > -16[/tex]

[tex]\frac{3}{4}a\cdot \frac{4}{3} > -16\cdot \frac{4}{3}[/tex]

[tex]\frac{3}{4}\cdot \frac{4}{3}a > -16\cdot \frac{4}{3}[/tex]

[tex]a > -16\cdot \frac{4}{3}[/tex]

[tex]a > \frac{-16\cdot 4}{3}[/tex]

[tex]a > \frac{-64}{3}[/tex]

Taxes usually increase how much you pay from the purchase price.  To find the tax charged on the purchase, multiply the tax rate by the purchase.

$28.38 × 0.0825 = $2.34

The tax charged is $2.34

Like terms are those terms that are having the same variables, also the variables are of the same order as well. The first step to solving an equation is to rearrange the like terms.

Like terms are those terms that are having the same variables, also the variables are of the same order as well.

for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.

To solve an equation the first step is to rearrange the equation such that like terms are together.

Hence, the first step to solving an equation is to rearrange the like terms.

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