plzz help!!! will mark brainlest

Answer:

D. Ana is 3 years older than Mark.

Step-by-step explanation:

We do not know how old Mark is.  That is the variable

Answer:

(x + 14)² + (y – 21/2)² = 1

Step-by-step explanation:

The equation of a circle can be written as seen below

(x – h)² + (y – k)² = r²

Where (h,k) is at the center and r = radius

We are given that the radius is 1

We are also given that the center is at (-14,21/2)

So we know that r = 1, h = -14, and k = 21/2

So to find the equation of the circle we simply substitute these values into the equation of a circle

Equation of a circle: (x – h)² + (y – k)² = r²

r = 1, h = -14, and k = 21/2

Substitute values

(x – (-14))² + (y – 21/2)² = 1²

1^2 = 1

The two negative signs before the 14 cancel out and it changes to + 14

The equation of a circle with a center at (-14,21/2) and a radius of 1 is (x + 14)² + (y – 21/2)² = 1

The true statements are A , B , E

It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers such that the multiplication of those smaller numbers will be equal to the larger number taken.

Here, In the synthetic calculation we use the coefficient of the dividend

with the factors of the function

∴ 2 , -2 , -12 are the coefficient of the dividend 2x² - 2x - 12

∵ The divisor is 3

∴ x = 3 is a root of F(x) = 2x² - 2x - 12

∵ x = 3 is the root of F(x) = 2x² - 2x - 12

- Subtract the two sides by 3

∴ x - 3 = 0

∴ (x - 3) is a factor of the dividend F(x) = 2x² - 2x - 12

- The quotient is the last line of the synthetic division

∴ The coefficients of quotient are 2 , 4

- The quotient is 1 degree less than the dividend

∵ The degree of the dividend is 2

∴ The degree of the quotient is 1

∴ The quotient is 2x + 4

* Lets check the answers to chose the write statements

A. The number 3 is a root of F(x) = 2x² - 2x - 12 ⇒ true

B. (x - 3) is a factor of 2x² - 2x - 12 ⇒ true

E. (2x² - 2x - 12) ÷ (x - 3) = 2x + 4 ⇒ true

Thus, the true statements are A , B , E.

Learn more about Division from:

https://brainly.com/question/21416852

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Answer:

1

Step-by-step explanation:

no exponent

Answer:

Step-by-step explanation:

There are several ways in which to express this ratio. First and according to the size the model is to the real car:

m = .03c or [tex]m=\frac{3}{100}c[/tex] or conversely, you could state the expression according to the size of the real car as compared to the model:

c = 33 1/3m (the car is 33 and a third times the size of the model).

Answer:

3/13

Step-by-step explanation:

Answer:

Your answer is 3/13

Step-by-step explanation:

4/6

Mr. williams wants to buy 4/6

Answer:

there is some missing information  here

if the pas is a dozen brownies

1/2 of a pan is 6 2/3 of 6 would be "4"

how much mac-n-cheese are being made?

that information would be needed to solve this

Step-by-step explanation:

Answer:

FALSE. isn't it supposed to be 3 : 4.

Step-by-step explanation:

Simplified would be 27÷ 9 =3 and 36 ÷ 9 =4

============================================================

Explanation:

The ratio 4:3 has the first part (4) larger than the second part (3)

The ratio 27:36 has it flipped around, where the second part is the larger item this time.

Based on this alone, we can see that there's no way that 4:3 is the same as 27:36

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

Another way you can look at it is to divide both parts of 27:36 by the GCF 9

The ratio 27:36 fully reduces to 3:4 and not 4:3. The order matters.

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

Or you could go in verse of the previous section. Multiply both parts of 4:3 by 9

So the ratio 4:3 is equivalent to 36:27 which is not the same as 27:36. Again, the order is important.

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

Yet another approach:

Treat the ratios like fractions. If they were equal, then 27/36 = 4/3 would be true.

Cross multiplying leads to 27*3 = 36*4 and that becomes 81 = 144 which is false. So saying 27:36 reduces to 4:3 is also false

Answer:

x = -8

Step-by-step explanation:

6(x – 1) = 9(x + 2)

Add 6 to both sides

6x - 6 + 6 = 9x + 18 + 6

Simplify

6x = 9x + 24

Subtract 9x from both sides

6x - 9x = 9x + 24 - 9x

Simplify

-3x = 24

Divide both sides by: -3

-3x/-3 = 24/-3

Simplify

x = -8

Answer:

61.716 seconds (62 if round up is needed)

Step-by-step explanation:

36 / 7 = 5.143

5.143 * 12 = 61.716

Answer:

Step-by-step explanation:

adjacent angles have a common vertex and a common ray

∠BEC and ∠AEB (common vertex E common ray EB)

Answer: 1/2x + 2

Step-by-step explanation:

To get the slope you can look at the image. I got the y intercept by graphing the line and manually finding it. I forget how to solve for it

Answer: [tex]24^{\circ}[/tex]

Step-by-step explanation:

Given

River is flowing from south to North with a velocity of [tex]u=1\ m/s[/tex]

Motor boat traverses the river from east to west at a speed of [tex]v=2.5\ m/s[/tex]

South component of boat velocity must compensate the river velocity in order to travel in west direction.

[tex]\therefore v\sin \theta=u\\\\\Rightarrow 2.5\sin \theta=1\\\\\Rightarrow \sin \theta=\dfrac{2}{5}\\\\\Rightarrow \theta=23.57^{\circ}\approx 24^{\circ} \text{south of west}[/tex]

Answer:

4y2 - 12y

Step-by-step explanation:

2+4y-16y+32(Combine like-terms)

2−12y+32(Combine like-terms)

Answer:

The answer is [tex]4y^{2} -12y[/tex]

Step-by-step explanation:

To simplify the polynomial, start by combining like terms. Add [tex]y^{2}[/tex] and [tex]3y^{2}[/tex] to get [tex]4y^{2}[/tex]. Then, subtract [tex]16y[/tex] from [tex]4y[/tex] to get [tex]-12y[/tex]. Finally, the simplified answer is [tex]4y^{2} -12y[/tex].

[tex]sp = 328 \\ p = 29 \\ cp = .... \\ \\ p = sp - cp \\ 29 = 328 - cp \\ cp = 328 + 29 \\ cp = 357[/tex]

Answer:

The answer is C. because 7 is in set A and set B.

Answer:

{7}

Step-by-step explanation:

A = {4, 7, 10, 13, 17} and B = {3, 5, 7, 9}.

A ∩ B  This means intersection.  What is in both of the sets for A and B

{7}

Answer:

-1

Step-by-step explanation:

Answer:

x = 60

Step-by-step explanation:

The single dashed line represents congruent side lengths.

If every side of a triangle has a single dashed line then all of the sides are congruent meaning that the triangle is an equilateral

Equilateral triangles have all congruent side lengths and angles

In an equilateral triangle each angle has a measure of 60 degrees

So x = 60

Answer:

Step-by-step explanation:

A parallelogram is divided into two triangles, both triangles having equal sides.

So triangles are equilateral..In equilateral triangles, the angles are also equal..the interior angles of a triangle are 180 degrees..

180 ÷ 3 = 60 degree---> x:60°

1. 1/2

2. The Y axis

3. 1 right and 1 down (1, -1)

[tex]\sf \: If \: the \: question \: is \: to \: convert \: - 0.6 \\ \sf \: to \: its\: equivalent \: fractional \: form \: then ⟹[/tex]

[tex]\sf \: - 0.6 \\ \sf= \frac{ - 6}{10} (direct \: fractional \: form) \\ \sf = \frac{ - 3}{5} (in \: simplified \: form)[/tex]

Answer:

[tex][-2.5,-2][/tex]

[tex][-2,-1.5][/tex]

[tex][1.5,2][/tex]

[tex][2,2.5][/tex]

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

Hope it helps...

Answer:

B, D, E

Step-by-step explanation:

The values in the answer choices are x-values, meaning on the x-axis.

B: [-2, -1.5]

From -2 to -1.5, the graph goes down from left to right, so it's decreasing.

D: [1.5, 2]

From 1.5 to 2, the graph goes down from left to right, so it's decreasing.

E: [2, 2.5]

From 2 to 2.5, the graph does down from left to right, so it's decreasing.

Hope that helps (●'◡'●)

Answer:

41/10

Explanation:

sqrt16 = 4

sqrt17 = 4.12

4.1 = 41/10 and 4<4.1<4.12

Answer:

anong grade Mo na ba?

Step-by-step explanation:

grade?

Answer:

The answer is "[tex]1\frac{1}{2}[/tex]"

Step-by-step explanation:

Please find the graph file of the question in the attachment.

Its first step is the lightest and heaviest evil. [tex]4 \frac{1}{4}[/tex] is the lightest bag, and [tex]5 \frac34[/tex] is the heaviest bag. To remove it now, it is not permissible to remove it as a mixed fraction, therefore convert each fraction into an improper fraction by multiplying the whole integer to the numerator, then adding a numerator to this amount, multiplied by the numerator. Follow those steps to find out [tex]4 \frac{1}{4}[/tex]  is the wrong part.

[tex](4\times 4+1=17) \ so\ 4\frac14=\frac{17}{4}.[/tex] The process is the same for [tex]5 \frac34 (5\times 4+3=23) \ so \ 5 \frac34= \frac{23}{4}.[/tex]

You now deduce the numerator but just not the negative, to deduct both. You subtract, as the question is raised far as[tex]\frac{23}{4}-\frac{17}{4} =\frac{6}{4}[/tex] is involved. The last stage is that this is transformed into blended families, dividing its count by the denominator, 6 divided by 4 is identical to 1.5. 1 is a full amount so you don't modify it, but you do need to change the 5 decimals to [tex]1.5=1 \frac{5}{10}[/tex] and the last step is [tex]1\frac{1}{2}[/tex]to reduce.

Answer:

The product of 1/3(2/5) represents the number of hot dogs that were served on sesame buns WITH ketchup

Step-by-step explanation:

Answer:

A: Rewrite the expression on the left using the distributive property.

Answer:

[tex](x-\frac{1}{2})^2=\frac{81}{4}[/tex]

Step-by-step explanation:

Hi there!

[tex]x^2-x-20=0[/tex]

This equation is written in the form [tex]ax^2+bx+c=0[/tex]. First, use partial factoring:

[tex](x^2-x)-20=0[/tex]

For x^2-x, the b value is -1 in [tex]ax^2+bx+c[/tex]. To complete the square, take the square of half of 1 and add it in the parentheses as the c value:

[tex](x^2-x+\frac{1}{2}^2 )-20=0[/tex]

However, when adding values to one side of the equation, we must to the same to the other side:

[tex](x^2-x+\frac{1}{2}^2 )-20=\frac{1}{2}^2[/tex]

Complete the square:

[tex](x-\frac{1}{2})^2-20=\frac{1}{4}[/tex]

Move 20 to the other side

[tex](x-\frac{1}{4})^2=\frac{1}{4}+20\\(x-\frac{1}{2})^2=\frac{81}{4}[/tex]

I hope this helps!

Answer:

5i

Step-by-step explanation:

Answer:

5i

Step-by-step explanation:

sqrt( -25)

Rewriting

sqrt( 25 * -1)

We know that sqrt(ab) = sqrt(a) sqrt(b)

sqrt(25) sqrt(-1)

We know that sqrt(-1) = i

±5 i

Answer:

I'm sorry I'm not good at math

Step-by-step explanation:

sorry

Answer:

Step-by-step explanation:

a) 1200≥25x+45y

b) YES, because:

1200≥25(15)+45(15)

1200≥375+675

1200≥1050