(08.02)The coordinate grid shows the plot of four equations. A coordinate plane is shown with four lines graphed. Line A crosses the x axis at negative 1 and the y axis at negative 2. Line B crosses the x axis at negative 1 and the y axis at 2. Line C crosses the x axis at 1.5 and the y axis at negative 2. Line D crosses the x axis at 5 and the y axis at 5. Which set of equations has (1, 4) as its solution? A and D B and D A and C B and C

5x-20 = 2x+10

3x-20= 10

3x= 30

x=10

Answer:

x = 10

Step-by-step explanation:

Step 1: Distribute parenthesis

5x - 20 = 2x + 10

Step 2: Add 20 to both sides

5x = 2x + 30

Step 3: Subtract 2x from both sides

3x = 30

Step 4: Divide by 3

x = 10

Answer:

15

Step-by-step explanation:

30/2 = 15

Answer:

7

Step-by-step explanation:

Hey, sorry if this is a little late, but think of the tiles in an arrangement where 4 fit into a rectangle type thing. Now, since you want to find the maximum number of boards, find the closest number that you can multiply by 4 to get something close to 30. Here, you can see that 7x4=28, which is both an even number and the closest number to 30 as you can get. So, the answer is 7.

Answer:

C.

Step-by-step explanation:

Parallel lines have the same slope but different y-int. So if our original equation is y = 2x + 1, then the other equation would have to be y = 2x + b, where b ≠ 1. Only answer C. works.

Answer:

The answer is C) y-1=2(x-3)

Step-by-step explanation:

Two equations are parallel if they have the same slope and different y-intercepts. In the answer (c) 2 represents the slope which is also the slope of the original equation. y=2x-5is the equation that you get when you distibute and isolate y.

Answer:

See below.

Step-by-step explanation:

It is known that a parallelogram has rotational symmetry, rotated 180 degrees about it's center point. Now by definition a parallelogram is a quadrilateral with two pairs of parallel sides, hence it's name. If you were to take a look at the attachment below, you might see the connection.

Rotational Symmetry will make it so that side AB corresponds to CD, respectively AD and CB. The sides will coincide with one another after a 180 degree rotation, so that AB = CD, and AD = CB. Hence, in the same parallelogram, opposite sides are congruent.

Proved!

Answer:-3

Step-by-step explanation:

promise its B

The restriction on the domain of f (x) = (x + 5) / (x - 2) will be;

⇒ x ≠ 2

What is Domain?

The set of all inputs of the function is called Domain of set.

Given that;

The function is,

⇒ f (x) = (x + 5) / (x - 2)

Now,

Since, We know that;

In the Rational function A (x) / B (x), the Restrictions of the Domain are those Real numbers that make the denominator equal to zero, because the division by zero is not defined.

So, We get;

The restriction on the domain of f (x) = (x + 5) / (x - 2) is find as;

Make the denominator zero and solve for x as;

x - 2 = 0

x = 2

Thus, The restriction on the domain of f (x) = (x + 5) / (x - 2) is includes all x not equal to 2.

Therefore, The restriction on the domain of f (x) = (x + 5) / (x - 2) will be;

⇒ x ≠ 2

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Answer:

Option (1)

Step-by-step explanation:

Parent function for both parabolas graphed is, y = x²

For the large parabola,

This parabola is formed by translating the parent function 4 units downwards.

So the equation will be, y = x² - 4

Now graph of the inequality shows the dotted line with shaded area inside the parabola,

Equation of the parabola will be,

y > x² - 4

Similarly, equation of the other parabola will be,

y < x² + 6 [Since shaded region is the region outside the dotted lines of the parabola]

So the system of inequalities will be,

y > x² - 4

y < x² + 6

Therefore, Option (1) will be the answer.

Answer:

The (GCF) greatest common factor is 3

hope this helps ;)

Step-by-step explanation:

Answer:

LCF = 3

Step-by-step explanation:

The factors of 9 are: 1, 3, 9

The factors of 15 are: 1, 3, 5, 15

The least common factor is 3. It is the lowest number that is a factor of both 9 and 15. Technically, 3 is the GCF and the LCF because it is the only common factor of 9 and 15.

I hope this helps!!

Answer:

D.) The x-coordinate of the center of the circle decreased by 2

Step-by-step explanation:

(consult the diagram attached below)

Consider a circle

(x - 2)² + (y - 3)² =25

Where (h, k ) = (2, 3) which is the center of the circle.

When we want to move the circle to the left by 2 units, it also means the the center of the circle will move 2 units to the left.

If center of the circle moves 2 units to the left, it means that the x coordinate of the center of the circle will be decreases by 2 units, while y coordinate will remain the same.

Hence the new coordinate for the center of the circle is (2-2, 3) = (0, 3)

The new equation of circle will be:

(x - 0)² + (y - 3)² =25

(x )² + (y - 3)² =25

Answer:

The equivalent of 5.651 mi is 9945.76  yards

Step-by-step explanation:

Given:

Length of lake = 5.651 mi

Required:

Length of bridge in yards

From table of facts;

1 mile = 1760 yards

This implies that

5.651 miles will be:5.651 * 1760 yards

5.651 * 1760 yards = 9945.76  yards

5.651 * 1760 yards = 9945.8  yards (Aproximated)

Hence, the equivalent of 5.651 mi is 9945.76  yards

Answer: 2 hours

Step-by-step explanation:

The total velocity at which the planes are approaching each other is 350 + 250 = 600 km/h

Since time = distance/velocity, time = 1200km/ 600 km/h = 2 hours.

Answer:

[tex]3[/tex]

Step-by-step explanation:

Write in the exponential form with a base of 3

[tex]9^{\frac{1}{2} }[/tex] → [tex](3^{2})^{\frac{1}{2} }[/tex]

Simplify the expression by multiplying the exponents.

[tex]2 * \frac{1}{2} = 1[/tex]

[tex]3^{1} = 3[/tex]

Answer:

D, E, F

Step-by-step explanation:

After you prove that the two triangles are congruent, you just need to look for the similair placed angles and lines.

Answer:

D, E, F

Step-by-step explanation:

These three are the only ones that complete CPCTC requirements.

Answer:

Step-by-step explanation:

Make sure that the angles are the same length, also make sure that the diameter of the circle is not smaller than that of the square to find diameter of a circle multiply the radius by 2, to find the radius use this formula  

r=C  over 2π

By Ensure that its angles are identical, and also ensure that circle's diameter is only smaller than the square because then the circle diameter multiplies the range by 2, so how you can find the [tex]\bold{r=C}[/tex] formula of the radius over [tex]\bold{2\pi}[/tex]

The building process is as follows:

Please find the attached file.

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Answer:

Step-by-step explanation:

The third picture with 4.5 being theu put the answer is 9.5 not 3

everything else seems good to me

Answer:

option b

Step-by-step explanation:

[tex] \sqrt{ \frac{5}{3} } [/tex]

[tex] \frac{ \sqrt{5} }{ \sqrt{3} } [/tex]

the denominator is in the surd form, so it must be rationalized

Answer:

Step-by-step explanation:

6

2

11,034

70 ml/s

Answer:

The answer is 6,674.322

Step-by-step explanation:

An easy way to solve this is to move the decimal point up by one space.

You could also multiply 66,743.22 by 0.1 and you would get the answer.

Hope this helps :)

Answer:

6674.322

Step-by-step explanation:

To find 10% we move the decimal one place to the left

66,743.22  moves one place to the left

6674.322

Answer:

March he sells 51. April he sells 107

Step-by-step explanation:

In jan he made 14 so we double that for feb and have 28.

From that 28 he takes home 5 so we are left with 23.

Then we double 28 for March to get 56 but he takes 5 home which leaves 51 to be sold and so on.

Answer:

Brainliest goes to me

Step-by-step explanation:

if you solved it... it would be 8.75

but you can't like 0.75 of a color so it isn't possible

0.75 is to be rounded up so I would do 9

Answer:All you have to do is multiply

Step-by-step explanation:

Answer: A) = 81

Step-by-step explanation:

Say that the four numbers are a,b,c & 97.

Then a+b+c+97/4 = 85

a+b+c+97=340

a+b+c=243

a+b+c/3 = 81

The average of the remaining three numbers is 81.

The average of the numbers a₁, a₂, ..., aₙ is calculated as

Average = (a₁ + a₂ + ··· + aₙ) / n.

Given

Average of the four numbers = 85,

The largest of the four numbers is 97.

Find the sum of all the four numbers

Let the four numbers be a, b, c, and d. Then, using their given average,

(a + b + c + d) / 4 = 85

⇒  a + b + c + d = 85 × 4 = 340.

Find the sum of the numbers excluding the largest one

Let the largest number be d. So, d = 97. Then, the sum of the remaining three is

a + b + c = 340 - d = 340 - 97 = 243.

Find the average of the three numbers

Using the above definition average of the remaining three numbers is calculated as

Av(a,b,c) = (a + b + c)/3 = 243 / 3 = 81.

The required average of the remaining three numbers is 81.

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The expression [(a⁻² × b²)/(a² × b⁻¹)]⁻³ in the simplified form will be (a¹² / b⁹).

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ [(a⁻² × b²)/(a² × b⁻¹)]⁻³

Simplify the expression, then we have

⇒ [(a⁻² × b²) / (a² × b⁻¹)]⁻³

⇒ [(a² × b⁻¹) / (a⁻² × b²)]³

⇒ [(a⁴ / b³)]³

⇒ (a¹² / b⁹)

The expression [(a⁻² × b²)/(a² × b⁻¹)]⁻³ in the simplified form will be (a¹² / b⁹).

More about the value of the expression link is given below.

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Answer:

D. (b^3/a4)^-3

Step-by-step explanation:

boop boop edge dge

Answer:

f(x) = x² – 3

Step-by-step explanation:

Lemme try

f(x) = √(x + 3)

y = √(x + 3)

y² = x + 3

y² – 3 = x

Cz we gonna invers that, we'ld turn x to y and y to x, so:

x² – 3 = y

Yeah, inverse of the function is y=x²–3

Answer:

Step-by-step explanation:

Answer:

C. 7

Step-by-step explanation:

Custodian has = [tex]5 \frac{1}{4} gallons[/tex]

Ever bookcase needs = [tex]\frac{3}{4} gallons[/tex]

We'll just divide them

Bookcases to be painted = [tex]5\frac{1}{4} / \frac{3}{4}[/tex]

= [tex]\frac{21}{4}* \frac{4}{3}[/tex]

= [tex]\frac{21}{3}[/tex]

= 7

Answer:

x = [tex]-7\frac{2}{3}[/tex]

Step-by-step explanation:

=> 6(2x+11) + 15 = 3x+12

(Expand the brackets)

=> 12x+66+15 = 3x+12

(Adding 66+15)

=> 12x+81 = 3x+12

(Subtracting 81 and 3x to both sides)

=> 12x-3x = 12-81

=> 9x = -69

(Dividing both sides by 9)

=> x = [tex]\frac{-69}{9}[/tex]

(Simplifying)

=> x = [tex]\frac{-23}{3}[/tex]

(Converting it into mixed form)

=> x = [tex]-7\frac{2}{3}[/tex]

So, x = [tex]-7\frac{2}{3}[/tex] will make the equation true.

Answer:hello

The answer is 7

Step-by-step explanation:at first solve this6(2x-11)=12x-66

Then write 12x-66+15

Then we have this 12x-66-15=3x+12

Then we have to write (x) in the left side and number in right side

12x-3x=66-15+129x=63

X=7

Good luck

Answer:

This is true.

Answer:

225 seashells

Step-by-step explanation:

4:9

100:x

Cross multiply the ratios.

4x=900

x=900/4

x=225

Answer:

4512 handshakes

Step-by-step explanation:

We are told in the question, that there are

96 people in the room = 48 couples

Assuming that no husband or wife shakes each others hand but everyone else shakes hands exactly once

This means

48 couples will shake 94 people because they are excluded

This is calculated as

48 × 94 = 4512 handshakes

Answer:

Itz B.

Step-by-step explanation:

To form a triangle to two smaller sides have to be able to add up to be greater than the big side

Answer:

x ≈ 31.3°

Step-by-step explanation:

We can use sin∅ to solve this:

sinx = 13/25

x = [tex]sin^{-1}(13/25)[/tex]

x = 32.3323

Answer:

rounding to the thousandths place, the answer is 0.714

Step-by-step explanation:

This can easily be looked up on google