Mathematics High School

I need to find what x

Answers

Answer 1

Answer:

Step-by-step explanation:

Add the 21 then divide by 2

Answer 2

Answer:

x = 16, x = -7

Step-by-step explanation:

The question is;

35 * 4 = ( x - 7 ) ( x - 3 )

Combine like terms on one side;

140 = ( x - 7 ) ( x - 3 )

Distribute, remember to multiply every term with one another;

140 = [tex]x^{2}[/tex] - 3x - 7x + 21

Combine like terms;

140 = [tex]x^{2}[/tex] - 10x + 21

Inverse operations;

140 = [tex]x^{2}[/tex] - 10x + 21

-21 -21

119 = [tex]x^{2}[/tex] - 10x

Factor;

119 = x ( x - 10 )

At this point it is fairly obvious that;

x = 16, x = -7

Note; One could have used a multitude of methods to solve this problem, one could have factored, completed the square, or used the quadratic formula, this method was simply chosen because it is easy to explain

Related Questions

Pls, answer fast with an explanation. At a carnival, it costs $138.00 for 92 tickets. Write an equation that can be used to find the total cost (c) for any number of tickets (t) you buy.

Answers

92 tickets = $138
138/92 = 1.5
1 ticket = $1.50

1.5t = c

Some steps are on paper

Does stencil two overlap exactly with the original image? Describe what you see. After the transformations are complete, what can you say about the points that make up stencil one and the points that make up the original image ? Explain

Answers

Answer:

No, stencil two does not overlap the original pattern exactly. Not all the points on stencil two coincide with the points on the original pattern. There is a subtle difference near the boundaries of the two shapes.

Step-by-step explanation:

What is 5/6 - 3/8

A. 1/3
B. 9/16
C. 1/12
D. 11/24

Answers

Answer:

The correct answer is D

Step-by-step explanation:

5/6=20/24. 3/8=9/24. 20/24-9/24=11/24 so D

Can someone plz help me!!

Answers

Answer:

145°

Step-by-step explanation:

upper left angle inside triangle is 180-137, or 43°

lower right angle inside triangle is 180-(43 + 102) or 35°

'?' measures 180 - 35 which is 145°

Please help! I need the equation of this line.

Answers

Answer: why?

Step-by-step explanation:

The coordinates are (5,-2)

A bag contains 4 Snickers bars and 1 Twix bar, and the outcome is drawing a Twix bar. Does the phrase that describes the probability of drawing a Twix bar change from Part A?
a: yes, because there are still only two possible outcomes.
b:No, because it is still less likely to have an outcome of drawing a Twix.
c: yes, because it is still less likely to have an outcome of drawing a Twix.
d:No, because there are still only two possible outcomes.

Answers

Answer:

C. Yes,because it is still less likely to have an outcome of drawing a Twix.

Step-by-step explanation:

A rectangle is 2 feet wide and 4 feet long. A second rectangle is created by increasing the length and width of the first by a scale factor of
2.5. What is the area, in square feet, of the second rectangle?

Answers

2*11*3.14=69.08/4=17.27+22=39.27

Complete the statement. Round to the nearest hundredth if necessary.

0.3 km ≈ ? mi

Answers

Answer:

0.186 mile rounded = 0.19

Step-by-step explanation:

the answer is 0.19

Enter the value of n so the expression (7y + 6) + (3y – 2) is equivalent to (ny + 4),

Answers

Answer:

Step-by-step explanation:

Help me solve this problem
2|m/2|-1>3

Answers

Answer:

is this even a equation

Answer:

A. f(x) = -3x - 4

Step-by-step explanation:

Calculate the values of angles A and C of triangle ABC, where b =17.23cm,c=10.86cm and B=10 1 degree 15

Answers

Answer:

C = 38.18°; A = 40.57°

Step-by-step explanation:

B = 101' 15"

B = 101° + (15/60) = 101 + 0.25 = 101.25°

b =17.23cm,c=10.86cm

From Sine rule :

c/ sin C = b / Sin B

10.86 / sin C = 17.23 / sin 101.25

SinC = (sin 101.25 * 10.86) / 17.23

Sin C = 10.651328 / 17.23

Sin C = 0.6181850

C = Sin^-1(0.6181850)

C = 38.183716

C = 38.18°

Sum of angles in a triangle = 180°

A + B + C = 180°

A + 101.25° + 38.18° = 180°

A = (180 - (101.25 + 38.18))

A = 40.57°

Cos^4x csc^2x = csc^2 x sin^2 -2

Answers

Answer:

Step-by-step explanation:

i think im not sure the way this question is written doesn't make a lot of sense

A farm covers land in the shape of a trapezium. The length of the northern boundary of the farm is 265 m and length of the southern boundary is 180 m. The perpendicular distance from the northern end to the southern end is 90 m.
a Draw a diagram of the farm and find its area to the nearest square metre.
b Write your answer to part a to the nearest hectare.
c The farmer decides to purchase his neighbour's farm, which is in the shape of a rectangle but has the same area as his farm. What are possible dimensions neighbour's farm? Give your answer in metres.

Answers

Answer:

Step-by-step explanation:

Part A

Givens

b1 = 265

b2 = 180

h = 90

Formula

Area = (b1 + b2)*h / 2

Solution

Area = (265 + 180) * 90 / 2

Area = 445 * 90 / 2

Area = 40050 / 2

Area = 20025 square meters

Part B

1 hectare = 10000 square meters

x hectare = 20025 square meters Cross multiply

x * 10000 = 20025 * 1 Divide by 10000

x = 20025 / 10000

x = 2.0025

Rounded to the nearest hectare that would be 2

Part C

The best shape is a square.

That would mean that the area is given by

s^2 = 20025

sqrt(s^2) = sqrt(20025)

s = 141.51

Each side of the rectangle (square) = 141.51

A hot air balloon went from an elevation of 6,039 feet to an elevation of 3,288 feet in 42 minutes. What was its rate of descent?

Answers

Answer:

65.5 feet per second

Step-by-step explanation:

In order to calculate the rate of descent we first need to find the difference in heigh that the hot air balloon descended. We do this by subtracting the initial height from the end height like so...

6,039 - 3,288 = 2,751 ft

Now that we have the difference in height we need to divide this by 42 since that is the amount of time it took for this descent to occur.

2,751 ft / 42s = 65.5 ft/s

Finally we can see that the rate of descent was 65.5 feet per second

The airplane travels 1,650 miles in 3 hours. What is
the unit rate?

Answers

Answer:

550 miles per hour

Step-by-step explanation:

d. How much of each ingredient would you need to make an identical recipe that serves 18 people?

Answers

Say you needed 2 cups of flour, you would multiply that by 18, 2x18 = 36. So just multiply every ingredient by 18.

ITS FOR A TESTT I NEED THE ANSWER

Answers

Answer:

I believe the answer is $1.52. hope this helps

Which of the following describes the transformation from Figure 1
1
to Figure 2
2
?

Answers

5 units to the right and 3 units down

Solve by factoring: x2 – 9x + 20 = 0

A. x = - 4 and x = - 5

B. x = 4 and x = 5

C. x = 20 and x = - 9

D. x = - 4 and x = 5

Show your work

Answers

Answer:

Answer

Given equation is:

−9x+20=0

⇒x

−5x−4x+20=0

⇒(x−4)(x−5)=0

⇒x=4andx=5

Answer:
B.x = 4 x=5

Expiation:
x * (x-4)-5(x-4)=0
(x-4)*(x-5)=0
x-4=0
x-5=0
x1= 4 x2= 5

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