Two numbers are 10 units away in different directions
from their midpoint, m, on a number line. The product of
the numbers is -99.
Which equation can be used to find m, the midpoint of
the two numbers?
(m - 5)(m + 5) = 99
0 (m - 10)(m + 10) = 99
Om2 - 25 = -99
om? - 100 = -99

Will give brainliest

Answer:

r=9

EF = 55

Step-by-step explanation:

CF = ED

9r - 6 = 8r+3

Subtract 8r from each side

9r-8r - 6 = 8r-8r+3

r-6 =3

Add 6 to each side

r-6+6 = 3+6

r = 9

EF= CD = 4r+19

            = 4*9+19

              =36+ 19

               =55

Answer:

A = 12

B = 14

Step-by-step explanation:

You essentially have to count the number of squares that are filled in.

Shape A has 12 units filled in.

Shape B has 14 units filled in.

Answer:

On a coordinate plane, a parabola opens down

has a vertex at (negative 0.5, 6.75)

The vertex is the maximum value. The axis of symmetry is x = negative one-half.

The domain is all real numbers

Step-by-step explanation:

Answer:

The vertex is the maximum value.

The axis of symmetry is x = negative one-half.

The domain is all real numbers.  

Step-by-step explanation:

The answer above is correct.

Answer:

B.

Step-by-step explanation:

First, it must be in descending order (i.e. largest to smallest). Thus, we can eliminate C and D since they go from smallest to largest.

Next, we need to find the degree of A and B. The degree of a polynomial is simply the highest exponent value of all the variables in a single term. If this is confusing, let's use A as an example.

In A, we have four terms: x^3y^3, xy^2, 5xy, and -4. This is a sixth degree polynomial. This is because for the first and largest term, x^3 and y^3, the total value of their exponents is 6. Because of this, A is not our answer.

For B, the biggest term is xy^2, and the degree is 1+2=3. Therefore, our answer is B since it is a third degree polynomial and it's in descending order.

Note that C is also a third-degree polynomial, but it's not written in descending order.

Answer:

f(x) = 2(x –3)²

Step-by-step explanation:

f(x) = 2x² – 12x + 18

The vertex form of the above expression can be obtained as follow:

f(x) = 2x² – 12x + 18

Factorise

f(x) = 2(x² – 6x + 9)

Next, we shall simplify x² – 6x + 9 by factorisation method.

This is illustrated below:

x² – 6x + 9

Multiply the first term i.e x² and last term i.e 9 together. The result is 9x².

Next, find two factors of 9x² such that their sum will result to the 2nd term i.e –6x in the expression above.

The factors are –3x and –3x

Next, replace –6x with –3x and –3x in the equation above as shown below:

x² – 6x + 9

x² – 3x –3x + 9

Factorise

x(x – 3) –3(x –3)

(x –3)(x –3)

(x –3)²

f(x) = 2x² – 12x + 18

f(x) = 2(x² – 6x + 9)

f(x) = 2(x –3)²

Therefore, the vertex form of the function f(x) = 2x² – 12x + 18 is

f(x) = 2(x –3)²

Answer:

b = [tex]\sqrt[3]{\frac{2d-c}{5} }[/tex]

Step-by-step explanation:

Given

2d = 5b³ + c ( subtract c from both sides )

2d - c = 5b³ ( divide both sides by 5 )

[tex]\frac{2d-c}{5}[/tex] = b³ ( take the cube root of both sides )

[tex]\sqrt[3]{\frac{2d-c}{5} }[/tex] = b

Answer:

Additive inverse = -3/2

Multiplicative inverse = 2/3

Step-by-step explanation:

To find Additive inverse, just change the sign.

Additive inverse of 3/2 = -3/2

If we add  a number and its additive inverse, we will obtain 0.

Multiplicative inverse of number a is 1/a and multiplicative inverse of a fraction  a/b is b/a.

When we multiply a number & its inverse, we will get 1

Multiplicative inverse of 3/2 = 2/3

Answer:

Step-by-step explanation:

[tex]10.5 \:trees = 5 \:cabins\\x \: trees\:\:\:\:\:\:=7\:cabins\\\\5x = 73.5\\\frac{5x}{5} = \frac{73.5}{5}\\ x = 14.7 \: trees[/tex]

Step-by-step explanation:

The figure above is a cube since all it's sides are equal

Volume of a cube = l³

where l is the length of one side

From the question

l = 3yd

So the volume of the cube is

Volume = 3³

Volume = 3yd³

Surface area of a cube = l²

Surface area = 3²

= 9yd²

Hope this helps you

convert 5.6 cm = 56 mm squared

Answer: 560 mm²

Step-by-step explanation:

Note that 1 cm = 10  mm

Given: 5.6 cm²

          = 5.6 cm· cm

           [tex]=5.6\ cm \cdot cm\times \dfrac{10\ mm}{1\ cm}\times \dfrac{10\ mm}{1\ cm}\quad[/tex]

           [tex]=560\ mm\cdot mm\\[/tex]

           [tex]=\large\boxed{560\ mm^2}[/tex]

Answer:

2/36 or 1/18

Step-by-step explanation:

There are 36 possible outcomes (6x6).

Only 2 possibilities equal 11.  (5+6 and 6+5).

So the probability is 2/36, or 1/18.

Answer:

Step-by-step explanation:

5x+30 is a corresponding angle with 4x-9 so set them equal to each other. 4x-9+2x+3 will equal 180

Answer:

no, the values would be above 180º

Step-by-step explanation:

if...

(4x - 9) + (2x + 3) + y = 180

(5x + 30) + y = 180

then...

(4x - 9) + (2x + 3) = 5x + 30

so...

6x - 6 = 5x + 30

x = 36

plug it in.

4(36) - 9 = 135

2(36) + 3 = 75

already you can see the sum of these two angles surpasses 180 which is not possible for a triangle.

Answer:

(1+β)/α = 2

(1+α)/β = 0

Step-by-step explanation:

We need to determine the zeros of the polynomial. This would be done by equating the polynomial to zero and using factorization method to find the variables

x²+4x+3 = 0

x²+x+3x+3=0

x(x+1) +3 (x+1) = 0

(x+1)(x+3) = 0

(x+1)= 0 or (x+3) = 0

x= -1 or -3

If α = -1, and β=-3

(1+β)/α = (1-3)/-1 = -2/-1

(1+β)/α = 2

(1+α)/β = (1-1)/-3 =0/-3

(1+α)/β = 0

Hey There!!

To get the average rate of change, we simply have to use this formula:

ARC = (y2 -y1) / (x2 - x1)

For the first function:

ARC = (64 - 0) / (4 - 0) = 16

For the second function, since it's a line, the ARC would just be equal to the slope

m = ARC = (-1 - 0) / (0 - (-2)) = -0.5

For the third function:

h(0) = 18

h(4) = 66

ARC = (66 - 18) / (4 - 0) = 12 Therefore, the order of the functions from lest to greatest according to the average rate of change on the interval from x= 0 to x = 4 is:

g(x)

h(x)

f(x)

Hope This Helps!!

By ☆Itsbrazts☆

Answer:

slope of f(x) is 16 slope of g(x) is -1/2 and tho slope of h(x) 12.5

Answer: t= v-u/a

Step-by-step explanation: V=u-at

V-u=at

Subtract u from both sides

V-u=at

Divide both sides by a

v-u/a=at/a

v-u/a=t

Answer:

Table 4 represents a function.

Step-by-step explanation:

Functions require that each x-value has a unique y-value. In the other tables you see a value repeated in the x column, with a different value in the y column.

Answer:

7y^2 - y^2z - 10yz-5

C. 7 y squared minus y squared z minus 10 y z minus 5

Step-by-step explanation:

A. y squared minus y squared z minus 10 y z minus 5

B. y squared minus y squared z minus 5 y z minus 5

C. 7 y squared minus y squared z minus 10 y z minus 5

D. 7 y squared minus y squared z minus 2 y z minus 5

Given:

3y^2 - 6yz - 7 + 4y^2 - 4yz + 2 - y^2z

Collect like terms in the expression

3y^2 + 4y^2 - 6yz - 4yz - y^2z - 7 + 2

Simplify

7y^2 - 10yz - y^2z - 5

Rewritten as

7y^2 - y^2z - 10yz-5

Option C. 7 y squared minus y squared z minus 10 y z minus 5

Is the answer

Answer:

C. 7 y squared minus y squared z minus 10 y z minus 5

Step-by-step explanation:

I took the cumulative exam...

Also I want the person above me to get brainliest... :)

Answer:

1st one= B 25 cents

2nd one= D 2 miles

Step-by-step explanation:

1.

8x3=24

6/24=25

= 25 cents

2.

1.6 km= 1 mile

so 1/2 of a mile =

0.8 km

1/4 of an hour = 15 minutes

0.8km= 15 minutes

15x3= 45  minutes

0.8km x 3= 2.4km

2.4km = 2 miles

hope it helps hunney xx

I guess the answer is D because it is the most far from -1 rather than the other

Answer: The answer should be D.-0.5

Answer:

A

Step-by-step explanation:

Answer is a because the common difference is -9

Answer:

the data represent a linear function because there is a common difference of -9

Step-by-step explanation:

Answer:

16 and 65536

Step-by-step explanation:

4^2 =16 and 4^8 =65536

Answer:

4^10

Step-by-step explanation:

4^2 x 4^8

When we multiply exponents with the same base, we can add the exponents

4^(2+ 8)

4^10

Answer:

X=36.4 or 36.37306696.... and Y=42

Step-by-step explanation:

So you have a 30-60-90 triangle!

Do Not Worry this is a hard subject to understand, but I will try to do my best with helping you. Right now you need to find x and y. All you have is 21.  Under your 60 angle, which is pointing downward, is the 21. And 21 is initially in the spot of x or 1. so 21 is the x(But not the x on the side of 90). I am sorry if this is a bit confusing.

You are then going to take your side which is x, the side that is directly in the path of 90, and it is going to be 21[tex]\sqrt{3[/tex]. Then on the side of your y, which is in the path of your 60, it will be 2 times your x.

The general layout of this is:

x is underneath the side of 90 degrees.

then on the side where 60 degrees and 30 degrees is, is going to be x[tex]\sqrt{3[/tex].

Then the last side, where 30 degrees and 90 degrees lay, will be 2(x).

So all you have to do is plug everything in.

x=36.4 in decimal

y=42(because all you had to do was plug 21 where the x is, because that is where x is in the general layout.)

The value of x = 42 units

The value of y = 21√3 units

The study of the correlation between a right-angled triangle's sides and angles is the focus of one of the most significant branches of mathematics in history: trigonometry. Hipparchus, a Greek mathematician, introduced this idea.

As per the given diagram:

The triangle is a right angle triangle.

Using trigonometric ratios to find x and y:

tan30° = (P/B)

tan30° = (21/y)

(1/√3) = (21/y)

y = 21√3 units

sin30° = (P/H)

(1/2) = (21/x)

x = 2 × 21

x = 42 units

The value of x and y is 42 units and 21√3 units, respectively.

To learn more on Trigonometry, click:

brainly.com/question/17199821

#SPJ7

Answer: Rs 1820

Step-by-step explanation:

This is profit, thus is it a percentage increase of 4%. Thus, she sold the saree for 104% of what she bought it for, Rs 1750.  Thus, simply do 1.04*1750 to get 1820.

Hope it helps <3

Answer:

16

Step-by-step explanation:

If n is number of nickles and d is number of dimes:

5n + 10d = 440

n = 3.5d

Substitute:

5(3.5)d + 10d = 440

17.5d + 10d = 440

27.5d = 440

d = 16

Answer:

[tex] C = 28.9 [/tex]

Step-by-step explanation:

Given the right angled triangle, ∆BCD, you are required to find the measure of angle C.

Apply the trigonometric ratio formula to find m < C.

Adjacent side = 7

Hypotenuse = 8

Trigonometric ratio formula to apply would be:

[tex] cos(C) = \frac{7}{8} [/tex]

[tex] cos(C) = 0.875 [/tex]

[tex] C = cos^{-1}(0.875) [/tex]

[tex] C = 28.9 [/tex]

(To nearest tenth)

Answer:

B.

Step-by-step explanation:

To get the inverse of the function defined by the table given, all you need to do is to interchange the coordinate pairs.

That is, the coordinates pair on a table that defines a function is usually given as (x, y). The inverse of the function would be (y, x).

The following are the coordinate pairs given and the inverse of the function represented:

(x, y) => inverse = (y, x)

(7, 21) => inverse = (21, 7)

(10, 30) => inverse = (30, 10)

(13, 39) => inverse = (39, 13)

(16, 48) => inverse = (48, 16)

The table that represents the inverse of the function given in the question is option B

Answer:

D) Van: 7, Bus: 20

Step-by-step explanation:

Add the amount of students together (455 students in total)

Then I added the amount of buses and vans together (5 Vans and 21 Buses)

Then I plugged in each answer

5 x 7 = 35

455 - 35 = 420

420 / 21 = 20

Answer:

28.

Step-by-step explanation:

9x^2 + 2 = 10x

9x^2 - 10x + 2 = 0

The discriminant is b^2 - 4ac.

In this case, a = 9, b = -10, and c = 2.

(-10)^2 - 4 * 9 * 2

= 100 - 36 * 2

= 100 - 72

= 28.

Since the discriminant is positive, there are two real solutions to the function.

Hope this helps!

Answer:

0.03333 or 1/30

Step-by-step explanation:

Let A =" I go sailing" and B = "it does not rain"

P(A) = 0.03

P(B) =0.90

Since I never go sailing when it rains, P(A and B) =0.03.

Therefore, the (conditional) probability that I go sailing, given that it does not rain is:

[tex]P(A|B)=\frac{P(A\ and\ B)}{P(B)} \\P(A|B)=\frac{0.03}{0.90}=0.033333[/tex]

The probability is 0.03333 or 1/30.