Simplify the expressions.showing express your answers with positive exponents

Answer:

4

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ 3, 4 ] , then

f(b) = f(4) = - 1 ← from table

f(a) = f(3) = - 5 ← from table , then

average rate of change = [tex]\frac{-1-(-5)}{4-3}[/tex] = [tex]\frac{-1+5}{1}[/tex] = 4

Given:

Two lines intersect each other.

Consider the below figure attached with this question.

To find:

The value of x.

Solution:

If two lines intersect each other then the vertically opposite angles are congruent and their measures are equal.

In the given figure, the measures of two vertically opposite angles are (2x+29)° and (9x-13)°.

[tex]2x+29=9x-13[/tex]

[tex]2x-9x=-29-13[/tex]

[tex]-7x=-42[/tex]

Divide both sides by -7.

[tex]x=\dfrac{-42}{-7}[/tex]

[tex]x=6[/tex]

Therefore, the value of x is 6.

Answer:

A. <EKH and <EKF

B. <EKH and <FKG

C. <HKJ and <GKJ

Step-by-step explanation:

A. A linear pair are two adjacent angles that forms a straight line that equals 180°.

<EKH and <EKF is a linear pair

B. A pair of vertical angles are opposite angles formed when two straight lines intersect. They share a common vertex.

<EKH and <FKG

C. Adjacent angles share a common vertex and a common side. The pair of adjacent angles that are not a linear pair will not form a straight line.

<HKJ and <GKJ are adjacent angles that share the same vertex (<K) and the same side (KJ). However they do not form a straight line. Therefore, <HKJ and <GKJ are a pair of adjacent angles that are not a linear pair.

Answer:

D. hundreds

Step-by-step explanation:

if a football field is 100 yards long then it is 300 feet long and that is in the hundreds

Answer:

It should be options B and D

Answer:

25 minutes Will take him to complete the problem if the rate is same

Answer:

25 minutes

Step-by-step explanation:

Divide 10 by 2 and get 5.

Multiply 5 by 5 and get 25.

Pls notify me if my answer is incorrect, for the other users that will see this response.

-kiniwih426

The shape can be split into 3 separate shapes:

On the left side a square 3 x 3 = 9 square inches.

The middle rectangle that is 2 x 5 = 10 square inches

The bottom rectangle which is 4 x 4 = 16 square inches

Total area = 9 + 10 + 16 = 35 square inches

Answer:

10

Step-by-step explanation:

=13+ 3^3 ÷9 we can change it to:

=13+ 3^3/-9

3^3 can be changed to 27

13+ 27/9

=13+−3

=10

Answer:

The correct algebraic expression is [tex]8+2c[/tex] or also, [tex]2c+8[/tex] because they are the same thing.

Step-by-step explanation:

Hope this helps and,

pls let me know if it was correct.

Answer:

answer is option B

9² +40² =41²

81+1600=1681

Answer:

B) 9 , 40, 41

............

Answer:

-7/45

-4/15+1/9 (two negatives make a plus or addition)

least common multiple of 15 and 9 = 45

 45 is the denominator

15*3=45 , 9*5 = 45

-4*3 = -12 ,1*5 = 5

-12+5 = -7/45

Answer:

-7/45

Step-by-step explanation:

find lowest common denominator: 45 (9 x 5 = 45, 15 x 3 = 45)

[tex]-\frac{4}{15} = \frac{(4*3)}{(15*3)} =-12/45\\\\\frac{1}{9}=\frac{(1*5)}{(9*5)} =5/45[/tex]

subtracting a negative = addition

[tex]-\frac{12}{45} +\frac{5}{45}\\\\=\frac{-12+5}{45} \\\\=-\frac{7}{45}[/tex]

The ladder will reach a height of 20.6 feet

The given parameters are:

Start by calculating how far (d) the ladder is, from the bottom of the house using the following Pythagoras theorem

[tex]45^2 = 27^2 +d^2[/tex]

Collect like terms

[tex]d^2= 45^2 -27^2[/tex]

[tex]d^2= 1296[/tex]

Take square roots of both sides

[tex]d= 36[/tex]

When the ladder is moved 4 feet farther, the new distance becomes

[tex]d= 36+4[/tex]

[tex]d= 40[/tex]

The new height (h) of the ladder is then calculated using the following Pythagoras theorem

[tex]45^2=40^2 + h^2[/tex]

Collect like terms

[tex]h^2 = 45^2-40^2[/tex]

[tex]h^2 = 425[/tex]

Take the square roots of both sides

[tex]h = 20.6[/tex]

Hence, the ladder will reach a height of 20.6 feet

Read more about Pythagoras theorem at:

https://brainly.com/question/654982

Answer:

cos 62=adjacent/hypotenuse

cos62=x/6

x=cos 62*6

x=2.8units

Answer:

x ≈ 2.8 units

Step-by-step explanation:

find measure of ∠B:  180-(90+62) = 28°

law of sines:

sin90°/6 = sin28°/x

1/6 = sin28°/ x

cross-multiply to get:

x = 6·sin28°

x ≈ 2.8 units

Answer:

geometric

common ratio 2/3

Step-by-step explanation:

We know that the sequence is not arithmetic

3-2 =1

2-4/3 = 6/3 -4/3 = 2/3

The common difference is not the same

Now check geometric

The common ratio:

Take the second term over the first term

2/3

Now take the third term over the second term

4/3 ÷ 2

4/3 * 1/2 = 2/3

The common ratio is the same so the sequence is geometric with a common ratio of 2/3

Answer:

13 2/11

Step-by-step explanation:

40/11+105/11

145/11

13 2/11

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{= \ 3\dfrac{7}{11}+ 9\dfrac{6}{11}}[/tex]

[tex]\mathsf{ 3\dfrac{7}{11} =\boxed{ \bf \dfrac{40}{11}}}[/tex]

[tex]\mathsf{9\dfrac{6}{11}= \boxed{\bf \dfrac{105}{11}}}[/tex]

[tex]\mathsf{= \ \dfrac{(40\times11)+(105\times11)}{(11\times11)}}[/tex]

[tex]\mathsf{40\times11=\boxed{\bf 440}}[/tex]

[tex]\mathsf{105\times11=\boxed{\bf 1,155}}[/tex]

[tex]\mathsf{=\ \dfrac{440+ 1,155}{11\times11} }[/tex]

[tex]\mathsf{11\times11=\boxed{\bf 121}}[/tex]

[tex]\mathsf{\dfrac{440+1,155}{121}}[/tex]

[tex]\mathsf{440 + 1,155=\boxed{\bf 1,595}}\leftarrow\mathsf{Your\ numerator\ (TOP\ number)}[/tex]

[tex]\mathsf{= \dfrac{1,595}{121}}[/tex]

[tex]\mathsf{= 13\dfrac{2}{11}}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: } \mathsf{\boxed{\bf \dfrac{1,595}{121}\ or\ 13 \dfrac{2}{11}}\\\large\textsf{either one of those should work they equal the same}}}}\huge\checkmark}[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

Step-by-step explanation:

7.3

Answer:

7.3

Step-by-step explanation:

22/3 = 22/3

(Decimal: 7.333333)

Answer:

a = 2

b = 0

c = 3

Step-by-step explanation:

if I understand correctly the problem should look like

2x⁴ + 2x³ + 5x² + 3x + 3 = (x² + x + 1)(ax² + bx + c)

let's calculate the right side

ax⁴ + ax³ + ax² + bx³ + bx² + bx + cx² + cx + c

as there is only one term of x⁴, we know a = 2

as there is only one term without any x, we know c = 3

now we get

2x⁴ + 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x + 3

remember, that is equal to

2x⁴ + 2x³ + 5x² + 3x + 3

after subtracting 2x⁴ and 3 from both sides we get

2x³ + 5x² + 3x = 2x³ + 2x² + bx³ + bx² + bx + 3x² + 3x

we subtract 2x³ and 3x from both sides and get

5x² = 2x² + bx³ + bx² + bx + 3x² = 5x² + bx³ + bx² + bx

we subtract 5x² from both sides and get

0 = bx³ + bx² + bx

=> b must be 0 to make this true for all values of x

Answer:

10x² + 36x + 18

Step-by-step explanation:

(5x + 3) (2x + 6)

10x² + 30x + 6x + 18

10x² + 36x + 18

Answer:

198 students walk to the local high school

Step-by-step explanation:

Total number students = 825

1/5 of the students travel by car

48% of the students travel by bus

0.08 of the students travel by bicycle

To find the number of students who wal to school we have to find the exact number of students who travel to school by car, bus and bicycle and subtract the result from the total number of students

Students who travel by car = 1/5×825

= 165 students

Students who travel by bus = 48% × 825

= 48/100 × 825

= 12/25 × 825

= 396 students

Students who travel by bicycle = 0.08 × 825

= 66

So now we add the results fo the equations above and subtract it from the total number of students to get the number of students that walk to school

Students that walk to school = 825 - (165 + 396 + 66)

= 825 - 627

= 198 students

Therefore 198 students walk to the local high-school

Answer:

27/18= 1.5

18/6 = 3

3•1.5= 4.5

Step-by-step explanation:

$27 divided by 18 muffins equals $1.50, 18 muffins divided by 6 people equals 3, 3 muffins times $1.50 equals $4.50. So $4.50 is how much each person would have to pay.

Answer:

x = 20.31 inches

Step-by-step explanation:

[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]

[tex]sin(62^{\circ})=\frac{x}{23}[/tex]

[tex]23sin(62^{\circ})=x[/tex]

[tex]x=20.3079464[/tex]

[tex]x\approx20.31[/tex]

Therefore, the missing side is 20.31 inches long.

Answer:

1 : 64

Step-by-step explanation:

We require the dimensions to be the same units

1 foot = 12 inches , then

85 [tex]\frac{1}{3}[/tex] feet = [tex]\frac{256}{3}[/tex] × 12 = 256 × 4 = 1024 inches

Scale is then

16 in : 1024 in ( divide both parts by 16 )

= 1 : 64

Answer:

The answer is 36 or c all you need to do is multiply 12 by 3

C-36 because your multiplying all of them by 3

Answer:

To be Honest I Really Don't know What are the Answers?

A) 3x -7 = 2x+5

3x-2x= 5+7

1x= 12

Resposta final: x=12 e so fazer sequindo o exemplo

Answer:

Y = -8.17

X= -4.936

For the first one

Step-by-step explanation:

4x=26+6y

X = 6.5+1.5y

5(6.5+1.5y)-4y = 8

32.5+7.5y-4y = 8

24.5=-3y

Y = -8.17

X= -4.936

Answer:

B

Step-by-step explanation:

OEMJIGOVNarioendsdmarfwsipf JUST BELIEVE, also looking is good

The true statements on comparing Jasmine’s two drawings are B and C.

The sum of a finite traingle's interior angle is equal to 180° and this is called the Angle Sum Property of a Triangle.

It is given in the question

Jasmine drew triangles on a globe and on a flat map of the world

On comparing both the triangle the conclusions are

The triangle drawn on the globe is a spherical triangle and the angle sum of the interior angle will be greater that the two right angles or 180°.

Among the option given this is also true that

The New York to Buenos Aires line and the Paris to Buenos Aires line intersect at only one point on the map and only one point on the globe

Therefore option B and C are both true statement comparing Jasmine’s two drawings .

To know more about Angle Sum Property

https://brainly.com/question/8492819

#SPJ2

Answer:

this is a long shot( like rly long) but try either -6 or -3

Step-by-step explanation:

Don't co.e for me if I'm wrong im just a poor girl in year 8

Answer:

83 m

Step-by-step explanation:

23.6 x 3.5 = 82.6 ≈ 83 m

Answer:

y = -1/7

Step-by-step explanation:

Mathematically, the distance between two points on a coordinate plane can be calculated using the formula;

d = √(x2-x1)^2 + (y2-y1)^2

for the first two points;

(5,y) and (1,4) ; we have

d = √(5-1)^2 + (y-4)^2

d = √(y-4)^2 + 16

For the other two;

(5,y) and (10,-3)

We have ;

d = √(5-10)^2 + (y + 3)^2

d = √(y+ 3)^2 + 25

from the question, these two distances are equal

all we have to do here is to equate the two distances

So we have it that;

(y-4)^2 + 16 = (y + 3)^2 + 25

y^2 -8y + 16 + 16 = y^2 + 6y + 9 + 25

-8y + 32 = 6y + 34

-8y -6y = 34-32

-14y = 2

y = -2/14

y = -1/7