(a) Expand and simplify (4 + root3)(4 – root3).​

Answers

Answer 1

Step-by-step explanation:

just use (a+b)(a-b) = [tex]a^{2} - b^{2}[/tex][tex](4+\sqrt{3}) (4-\sqrt{3)} = 4^{2} - (\sqrt{3} )^{2} = 16 - 3 = 13[/tex]

answer is 13


Related Questions

PLEASE HELP ME ILL MARK YOU BRAINLIEST !!!!!!!!!!

Answers

Step-by-step explanation:

(1/2) / (1/3) = (1/2)(3/1) = 3/2 miles per hour = 1.5 miles per hour

Answer:

Step-by-step explanation:

to find the unit rate, which is what we are looking for, we have to divide the number of miles by the number of hours. Specifically:

[tex]\frac{\frac{1}{2} }{\frac{1}{3} }[/tex] and to work this out, we bring up the bottom fraction and flip it to multiply, giving us:

[tex]\frac{1}{2}[/tex] × [tex]\frac{3}{1}[/tex] which is [tex]\frac{3}{2}[/tex] miles per hour (which is the same thing as walking a mile and a half every hour). The choice you're looking for is the one that reflects 3/2 miles per hour. (I can't see which choice it is; they're too small!)

Rudy rode a bike at the speed of 32 2/3 miles per 3 1/2 minutes. What is his speed in terms of miles per hours?

HELPPP

Answers

Answer:

[tex]32 \frac{2}{3 }miles- - - - 3 \frac{1}{ 2} minutes \\ \frac{98}{3} miles - - - - \frac{7}{2} minutes \\ \frac{2}{7} \times \frac{98}{3} miles - - - - 1minute \\ 60 \times \frac{2}{7} \times \frac{98}{3} miles - - - - 1 \: hour \\ 560 \: miles - - - - 1hour[/tex]

560 miles per hour

i need help.

A. 145
B. 35
C. 55
D. 75​

Answers

Answer:  B) 35 degrees

Explanation:

Angles 4 and 8 are corresponding angles since they are both in the southwest corner of their respective 4 corner configuration.

Corresponding angles are congruent when we have parallel lines like this.

Set the expressions equal to each other and solve for x

angle 4 = angle 8

x+20 = 2x+5

x-2x = 5-20

-x = -15

x = 15

Use this x value to find the two angles to help confirm we have the correct x value, and to finish up to answer the question.

angle 4 = x+20 = 15+20 = 35angle 8 = 2x+5 = 2(15)+5 = 30+5 = 35

So that's why the answer is B) 35 degrees

I need help ASAP !!!

Answers

The answer is (-1,12)
Center (-1, 12)
Radius 5
Diameter 10
Area 25 π
Circumference 10 π

Type the correct answer in the box.
The formula for the volume, V, of a cone having the radius, r, and the height, h, is shown below.
V = 3721
Write the formula to calculate the height, h.

Answers

Answer:

V=1/3(pi)*r^2*h

Step-by-step explanation:

Think about a cylinder. If you combine 3 cones, you get a cylinder. Find the volume of a cylinder

Answer:

Step-by-step explanation:

V = 1/3 r^2 * π * h

3V = r^2 *π * h

3V/π = r^2 * h

h = 3V/(r^2 * π)

help and I'll follow you ​

Answers

Answer:

12 nickels and 9 dimes

Step-by-step explanation:

1/ We have: n + d = 21 <=> d = 21 - n or opposite (n = 21 - d)

2/ We have: 0.05n + 0.10d = 1.50 and then we will put 1/ into 2/

=> 0.05n + 0.10(21 - n) = 1.50

=> 0.05n + 2.1 - 0.1n = 1.5

=> -0.05n = -0.6

=> n = 12

Nevertheless, d = 21 - n = 21 - 12 = 9

I NEED ANSWERS ASAP(WORTH 20 POINTS) WILL MARK BRAINLIEST

The graph of f(x) = |x| is transformed to g(x) = |x+1|-7. On which interval is the function decreasing?

A. (negative infinity, -7)
B. (negative infinity, -1)
C. (Negative infinity, 1)
D. (Negative infinity, 7)

Answers

Answer:

B. (negative infinity, -1)

B. Negative infinity-1

Factorise 2ab+2ac. Please

Answers

Answer:

2a(b+c)

Step-by-step explanation:

Find HCF (2a)

Then factorise

Answer:

2a(b+c)

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

find the size of each of the unknown angles.
plz solve this question fast as soon as possible with solution.

Answers

Answer:

Angle a = 80°, Angle b = 55°, Angle c = 45°, Angle d = 80°

Step-by-step explanation:

To find the measure of Angle a, we add 55 and 45, then subtract the sum from 180.

180 - 100 = 80

Angle a is 80°.

Then, we solve for Angle b. Line segment CD is congruent to Line AB, so Angle b is congruent to 55°.

After that, we find Angle c. Line segment AC is congruent to Line segment BD, so Angle c is congruent to 45°.

Lastly, we solve for Angle d using the same method we used for Angle b and Angle c. Angle d is congruent to Angle a, so it measures 80°.

So, Angle a = 80°, Angle b = 55°, Angle c = 45°, Angle d = 80°.

Which of the following expressions is equal to - x^2 - 36 ?
O A. (-x-6)(x-61)
B. (x +61)(x-6)
C. (-x+6)(x-61)
D. (-X-61)(x+61)

Answers

Answer:

I think the answer is option C

Convert the following 4.5 hours Into Second- ( Soin 24​

Answers

Answer: 16,200 Seconds

Step-by-step explanation:

Data: 4.5 hours(h)=x seconds(s)

Step One, Convert Hours Into Minutes

4.5h=4h and 30 minutes(m)

1h=60mx4=240m+30=270m

Reason: Since to convert to seconds, minutes are needed, you have to convert everything to minutes. And with 60 minutes in an hour you have to multiply 60 by 4 to get 240 and add 30 minutes to it(since it's 4.5 hours) to find ourselves at 270 minutes.

Step two, Convert Minutes Into Seconds

1m=60s

270mx60=16,200s

Reason: Since we are ultimately trying to get 4.5 hours into seconds, we have to convert the minutes we have into seconds by multiplying 270 minutes by 60(since 60 seconds are in a minute) to get our final answer of 16,200 seconds.

I hope this helps!

Help multiple choice

Answers

Answer:

the first one

Step-by-step explanation:

Bella leans a 20-foot ladder against a wall so that it forms an angle of 76° with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer:

4.8 feet

Step-by-step explanation:

Use the cosine ratio, since we are given the length of the hypotenuse (the ladder) and are asked to find the horizontal distance between it and the ground.

Let x represent the horizontal distance (the adjacent leg)

cosine θ = adjacent / hypotenuse

cosine 76° = x / 20

(20)(cosine 76°) = x

4.8 = x

So, the horizontal distance is approximately 4.8 feet

i've been stuck on this question for 3 days ;< halp meh ples


Calculate the average time for each vehicle.

What was the average time for the Big Car? Show your work.
What was the average time for the Small Car? Show your work.


Calculate the average speed for each vehicle. Use the average time for this calculation.

What was the average speed for the Big Car? Show your work.
What was the average speed for the Small Car? Show your work.

Answers

Answer:

1.

avg time = total time/ 3

for big car :-

= 4.46/ 3

= 1.48

for small car :-

= 5.14/ 3

= 1.71

2.

avg speed = total distance/ total time

for big car:-

= 2/ 4.46

= 0.45

for small car :-

= 2/ 5.14

= 0.4

Which statement about a right triangle is true?

A: The length of each leg equals 1/2 of the hypotenuse.

B: The square of the hypotenuse is equal to the sum of the squares of the legs.

C: One leg is always longer than the hypotenuse.

D: A right triangle can have only one obtuse angle.

Answers

Answer:

the square of hypotenuse rs eqaul to the sum of the square of the legs

2. Estimate the square root of the following
(i) 99
(ii) 572
(iii) 11437
(4) 476
(5) 9027
(6) 512375

Answers

Answer:

1..9.9

2....23.9

3...106.9

4....21.8

Step-by-step explanation:

1-9.9

2-23.9

3-106.9

4-21.8

5-95.01

6-715.8

A 4 metre ladder is placed against a vertical wall.
The base of the ladder is 1.5 metres from the base of the wall.

Answers

Answer:

Original position: base is 1.5 meters away from the wall and the vertical distance from the top end to the ground let it be y and length of the ladder be L.

Step-by-step explanation:

By pythagorean theorem, L^2=y^2+(1.5)^2=y^2+2.25 Eq1.

Final position: base is 2 meters away, and the vertical distance from top end to the ground is y - 0.25 because it falls down the wall 0.25 meters and length of the ladder is also L.

By pythagorean theorem, L^2=(y -0.25)^2+(2)^2=y^2–0.5y+ 0.0625+4=y^2–0.5y+4.0625 Eq 2.

Equating both Eq 1 and Eq 2: y^2+2.25=y^2–0.5y+4.0625

y^2-y^2+0.5y+2.25–4.0625=0

0.5y- 1.8125=0

0.5y=1.8125

y=1.8125/0.5= 3.625

Using Eq 1: L^2=(3.625)^2+2.25=15.390625, L=(15.390625)^1/2= 3.92 meters length of ladder

Using Eq 2: L^2=(3.625)^2–0.5(3.625)+4.0625

L^2=13.140625–0.90625+4.0615=15.390625

L= (15.390625)^1/2= 3.92 meters length of ladder

hope it helps...

correct me if I'm wrong...

What is the value of x?


[tex] \frac{4}{5} x - \frac{1}{10} = \frac{3}{10} [/tex]

Answers

Answer:

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

Step-by-step explanation:

Given

[tex]\frac{4}{5}[/tex] x - [tex]\frac{1}{10}[/tex] = [tex]\frac{3}{10}[/tex]

Multiply through by 10 ( the LCM of 5 and 10 ) to clear the fractions

8x - 1 = 3 ( add 1 to both sides )

8x = 4 ( divide both sides by 8 )

x = [tex]\frac{4}{8}[/tex] = [tex]\frac{1}{2}[/tex]

HELP ME WITH THISSS PLZZZ!!!! ahh thank youu lol

Answers

The answer is b I think

Max can travel 100 miles in 2 hours. At this rate, how many hours will it take him to travel 650 miles?

Answers

100miles in 2hrs
650miles in x hrs

If you think of it 650/100 = 6.5

So the distance is 6.5 times

So the time is 6.5 times 2hrs

=13 hrs total

10 pointssss!!!!!:))
write the formula of the function y whose graph is shown.
a).
[tex]y = \frac{2}{x} [/tex]

b).
[tex]y = \frac{1}{ x } + 2[/tex]

c).
[tex]y = \frac{1}{x - 2} [/tex]


plss, I need helpp!!!!​

Answers

9514 1404 393

Answer:

  (a)  y = 2/x

Step-by-step explanation:

The vertical and horizontal asymptotes are the axes, so there is neither a vertical nor a horizontal offset to the parent function y = 1/x. There is a vertical stretch by a factor of 2, so the describing function is ...

  y = 2/x

someone help me please with this algebra problem

Answers

Answer:

60

Step-by-step explanation:

5x + 10y = 800

y = 50

5x + 10(50) = 800

5x + 500 = 800

5x = 300

x = 60

Answer: 60

Step-by-step explanation:

If x = small vehicles and if y = large vehicles and y = 50, then substitute and solve for x. So,

5x + 10(50) = 800

5x + 500 = 800

5x = 300

x = 60

So, the number of small vehicles is 60.

you have some marbles. when you make a shape of an equilateral triangle, you either have 5 extra, or you need 10 more to complete the shape, how many marbles do you have? how long is one side of your triangle?
I'm giving brainliest to correct answer!

Answers

Answer:

110 marbles

side 14

Step-by-step explanation:

Draw triangles using marbles as the sides.

If the side is 2 marbles long, the triangle uses 3 marbles. 1 + 2 = 3

If the side is 3 marbles long, the triangle uses 6 marbles. 1 + 2 + 3 = 6

If the side is 4 marbles long, the triangle uses 10 marbles. 1 + 2 + 3 + 4 = 10

If the side is n marbles long, the triangle uses n(n + 1)/2 marbles.

These numbers are called triangular numbers.

We are looking for the side, n.

n(n + 1)/2 + 5 = (n + 1)(n + 2)/2 - 10

n^2 + n + 10 = n^2 + 3n + 2 - 20

n + 10 = 3n - 18

-n = -14

n = 14

For n = 14

n(n + 1)/2 =

= 14(15)/2

= 105

For n = 15

n(n + 1)/2 =

= 15(16)/2

= 120

105 + 5 = 120 - 10

You have 110 marbles. If you had 5 fewer, 105, you'd have a triangle with sides 14. If you had 10 more, 120, you'd have a triangle with sides 15. Since you have 110, you have 5 too many for side 14 and 10 too few for side 15.

The sides of the triangle is 14.

What conversion ratio was skipped in this multiple-step conversion? ​

Answers

Answer:

B

Step-by-step explanation:

B was missed. You have to convert this from hours into minutes before you can deal with seconds.

-10ab(13c) what is the answer

Answers

Answer:

Answer:[tex]13c = 65 \ \ c = \frac{65}{13} \ \ c = 5[/tex]  More

PLEASE HELP THIS IS MY LAST QUESTIONNNN

- The electric company charges Dalton a monthly service fee of $30 plus $0.15 per kilowatt-hour of electricity used. This month, Dalton's bill is $105.

- How many kilowatt-hours of electricity did Dalton use?

Answers

5 he used 5 hours or however it is out but it’s “5”

Answer:

500 kilowatt-hours.

Step-by-step explanation:

Let k = number of kilowatt-hours.

[tex]0.15k+30=105\\0.15k=75\\k=500[/tex]

Therefore, Dalton used 500 kilowatt-hours of electricity.

Which of the following expressions represents the distance between -3.9 and -4.7

Answers

Answer:

None of the above

Step-by-step explanation:

Distance is the difference between two positions. That is x1- x2  Since both numbers were negative, you would want the absolute value of one plus the other, because subtracting a negative results in a positive. For this example the distance would look more like this:

| -4.7 - ( -3.9 ) | = .8

What is the solution to the equation One-fourth x + 2 = negative StartFraction 5 Over 8 EndFraction x minus 5?

x = negative 8

x = negative 7
pls hurry
x = 7

x = 8

Answers

Answer:

c = 24

Step-by-step explanation:

i13(12)-2give answer​

Answers

154 I might be wrong tho

Someone help?????????????

Answers

Answer:

D

Step-by-step explanation:

f(x)=x²+3x+5

put x=a+h

f(a+h)=(a+h)²+3(a+h)+5

=a²+2ah+h²+3a+3h+5

Other Questions
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