Mathematics High School

ABCD is a trapezium with AB parallel to DC.
DC= 15 cm and AB= x cm
The perpendicular distance between AB and DC is 3 cm less than the length of AB. The area of ABCD is 75 cm square.
i) show that x2 + 12x - 195= 0

Answers

Answer 1

Answer:

Step-by-step explanation:a or b ?

Related Questions

Liam placed 24 patio pavers as shown below
What is the the length of a single paver

I don’t think it’s A so help pwezze

Answers

Answer:

your answer would be 15.8 Inches

Step-by-step explanation:

I simply divided the Inches(63.2) by how many pavers there are on one side(4)

That gives me an answer of 15.8 Inches each.

What is 10x-2(4x+5)+6

Answers

Answer:

2x - 4

Step-by-step explanation:

Expand the brackets.

10x - 2(4x+5) + 6 = 10x - 8x - 10 + 6

Evaluate like terms.

10x - 8x - 10 + 6 = 2x - 4

Answer:

Step-by-step explanation:

10x-2(4x+5)+6 foil

10x-8x-10+6 combine like terms

2x-4

If you need to find x

2x=4 divide by 2

x=2

Browning Montana holds the US record for the greatest temperature drop in one day. On January 23, 1916, the temperature changed by an average of -4.17 degrees per hour. To the nearest degree, what was the total temperature change after 24 hours???

Answers

Answer:

100°

Step-by-step explanation:

Average temperature change per hour = - 4.17° per hour

Total temperature change after 24 hours

Average temperature change per hour * 24

(-4.17° * 24) = 100.08

Temperature change = 100° (nearest degree)

Can anyone simplify

6d - 4d

Answers

Answer:

(6 - 4) + (d^2) = 2d

Step-by-step explanation:

You subtract 6-4 and since the d's don't have their set value yet you add it to your answer.

I think of a number. I multiply it by 7. I add 12. The result is 40. What is the number I am thinking of?​

Answers

The number that you are thinking of is 4. To get this answer I did the opposite of how you received your answer.
40 - 12 = 28
28 ÷ 4 = 7
The number that you are thinking of is 4.

HELP PLS!!!!!!!!!!!!!!

Answers

Answer:

the question is not clear

Complete the function
table below for y= 4x + 5. (Look at the photo.)

Answers

Answer:

5, 25, 45

Step-by-step explanation:

okay so it goes like this, the number in the x colume X 4 + 5 so 0 X 4 = 0 + 5 = 5, 5 X 4 is 20 + 5 = 25 and 10 X 4 =40 + 5 = 45.

Plz help plzzz this is due today just plz help me and I will give brainliest

Answers

Answer:

18(2+3)

1.375 liters

Step-by-step explanation:

GCF is 18.

18(2+3)

2.5-1.125 which is 1.375

Hope this helps Merry Christmas!

5/6 x 2/2 multiply to find equivalent fractions

Answers

Answer:

5/6 = 1/3

Step-by-step explanation:

Answer:5/6 times 2/2 = 5/6

Step-by-step explanation:

A shirt originally cost $24.99. It was on sale for $19.99. What was the percent decrease in the price of the shirt?

A.
5%

B.
10%

C.
20%

D.
25%

Answers

The percentage is shirt is 5%

24.99 x 0.20 = 5
24.99 - 5 = 19.99

the answer is C. 20%

Cam’s Sports is offering 20% OFF a basketball that costs $20. The same basketball costs $14.99 at Hoops Haven. Which store offers the better price? What is the better price?

Answers

Answer: Hoops Haven

Step-by-step explanation:

-2x+10y=25
X-25y=3

Elimination method

Answers

Answer:

equation form: x=-131/8y -31/40

Step-by-step explanation:

this is addition/elimination

Step-by-step explanation:

(-2x+10y=25) × 2.5

-5x+25y=62.5

x-25y=3

-5x+x+25y-25y=62.5+3

-4x=65.5

x =65.5÷4

=16.375

16.375-25y=3

-25y=3-16.375

-25y=-13.375

y=- 13.375÷-25

=0.535

i tried.

_x + 7 = 10 its x over two
2 X =

Answers

Answer:

0

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

Step-by-step explanation:

give brainliest or vanish

- ( x - 10 )² = -121 solve by using the square root property

Answers

Answer:

You would get 789BX

Step-by-step explanation:

Use a calculator

Answer:

x = 21, -1

Step-by-step explanation:

i used a math w a y

Click on the measurements that is equal to 144 ounces

Answers

Answer:

its 9

Step-by-step explanation:

144 ounces to pounds is 9

4
Select the correct answer from the drop-down menu.
A gardener uses 1/3 of a liter of water to water 2/7 of a garden.
Watering the entire garden at this rate will require
How many liters of water.

Answers

Answer:

1 1/6 liters of water

Which of the following is a reason that Venus is not ideal for supporting life?
Group of answer choices

It has the perfect amount of atmosphere, but not enough hydrogen.

It has a thin atmosphere which prevents liquid water from existing on the planet surface.

It has a thick atmosphere which causes extremely high temperatures.

It lacks an atmosphere allowing for frequent meteorite collisions.

Answers

Answer:

It has a thick atmosphere which causes extremely high temperatures.

Step-by-step explanation:

venus's atmosphere is almost entirely carbon dioxide, and is also about 90x heavier than earth's atmosphere, which is similar to diving 3,000 feet below the ocean.

In conclusion, the answer would be "It has a thick atmosphere which causes extremely high temperatures."

Haiii how you doing so far are you having a good morning too ? ʕ •ᴥ•ʔ

Answers

Answer:

HI I AM BORED

Step-by-step explanation:

13 (04.07)
What is the end behavior of the function f(x) = 3x4 – x3 + 2x2 + 4x + 5? (1 point)
Up on the left, up on the right
Up on the left, down on the right
Down on the left, up on the right
Down on the left, down on the right

Answers

Step-by-step explanation:

Coefficient of 3x⁴ is positive (concave upwards)

Power of x⁴ is even (both ends go upwards)

Hence the answer is Up on the left, up on the right.

Spencer wrote an expression with a value of. Which of the following expressions
could Spencer have written?
F
G
H
J

Answers

Answer:

bruh moment hdu2ebdd

Step-by-step explanation:

yqh1 badalamenti

Givens: <-->AD is the perpendicular bisector of segment BC AB = 7x+1 AC = 8x-6 BC = 3x + 9 Find: BD

Answers

Answer:

wheres the pic

Step-by-step explanation:


What are the steps to find the slope and y-intercept of the equation 16x - 4y = -32?

Answers

Answer:

slope = 4

y-intercept = 8

Step-by-step explanation:

First convert the equation into the form

y = mx + c

where m is the slope, and c is the y intercept

16x - 4y = -32

16x + 32 = 4y

4y = 16x + 32

y = 4x + 8

m = 4

c = 8

Answer:

Slope = 4

Step-by-step explanation:

16x - 4y = -32

-16x .        -16x

-4y = -32 - 16x

/-4 .      /-4

y = 8 + 4x

Mel drove 432 miles during his trip. He drove an average of 72 miles per hour. How long was his trip?
4 hours
6 hours
12 hours
O 16 hours

Answers

If Mel drove 432 miles and drove an average of 72 miles per hour, the Trip would have taken 6 hours answer B
it’s b! good luck and happy holidays:)

Help!!!! What is the area of this figure?

Select from the drop-down menu to correctly complete the statement.

The area of the figure is
Choose...cm².

Answers

Answer:

153

Step-by-step explanation:

You need to find the area of the triangle first which is 63. The you want to find the area of the trapezoid which is 90. Then add them together.

what is the correct answer?

Answers

Given:

Dividend = [tex]3x^3-3x^2-4x+3[/tex]

Divisor = [tex]x+3[/tex]

To find:

The quotient and remainder.

Solution:

On dividing [tex]3x^3-3x^2-4x+3[/tex] by  [tex]x+3[/tex], we get

[tex]x+3\ |\overline{3x^3-3x^2-4x+3} |\ 3x^2-12x+32[/tex]

         [tex]3x^3+9x^2[/tex]

    [tex]\underline{(-)\quad (-)\quad \quad \quad \quad \quad }[/tex]

                [tex]-12x^2-4x+3[/tex]

                [tex]-12x^2-36x[/tex]

               [tex]\underline{(+)\quad (+)\quad \quad \quad }[/tex]

                             [tex]32x+3[/tex]

                            [tex]32x+96[/tex]

                        [tex]\underline{(-)\quad (-)\quad }[/tex]

                               [tex]\underline{\quad -93\quad }[/tex]

Here,

Quotient = [tex]3x^2-12x+32[/tex]

Remainder = [tex]-93[/tex]

Therefore, the correct option is D.

PLEASE HELP 60 POINTS
The table represents the linear function f(x), and the equation represents the linear function g(x).

Compare the y-intercepts and slopes of the linear functions f(x) and g(x) and choose the answer that best describes them.


x f(x)
0 1
2 4
4 7

g(x) = 2x + 1
The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is equal to the y-intercept of g(x).
The slope of f(x) is less than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).
The slope of f(x) is greater than the slope of g(x). The y-intercept of f(x) is greater than the y-intercept of g(x).

Answers

Answer: Its most likely C

Step-by-step explanation:

I think

Answer:

c

Step-by-step explanation:

c

-5y + 31 = y – 11 plz give me the anser

Answers

-5y+31=y-11
-5y= -42 + y
-6y = -42
y = 7 :D

Solve for x
....................

Answers

Answer

go to the website symbolab math solver

Step-by-step explanation:

Use Cymath it works really good

Kwamee created a coffee blend for his cafe by mixing Kona beans and Fuji beans. Kona beans cost $11 per pound and Fuji beans cost $7.50 per pound. He mixed a total of 23 pounds of coffee beans and spent a total of $197.

Write a system of equations that can be used to determine how many pounds of Kona and Fuji beans Kwamee bought.

Solve the system of equations to determine how many pounds of Kona and Fuji beans Kwamee bought.

*Show both the equations and the solution.

Answers

Let's use K for Kona and F for Fuji. The system of equations has to be a balanced system. For example, you can't mix the number of pounds of beans with the cost for each because pounds and dollars are different and you can only combine like terms...pounds with pounds and dollars with dollars. So let's start with the number of pounds. Since we don't know how much of each he bought we have the 2 unknowns, F and K, but we DO know that he bought 23 pounds total. So the first equation is
K + F = 23
Now let's see what we can do with the dollars. Again, we don't know how much he bought of each kind of coffee, but we do know that Kona beans cost $11 per pound and that Fuji beans cost $7.50 per pound, and we know that he spent a total of $197. So let's set that up:
11K + 7.50F = 197
Those are your 2 equations. It doesn't say you need to solve them, so you're done.

PLEASE HELP!! ILL GIVE BRAINLIEST

Answers

Answer:

Its SSS because we know that MN=HJ and MQ=HC

Step-by-step explanation:

2=4 in MN=HJ

5=10 in MQ= HC

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