Q11.
The diagram shows a trapezium.
x-4
Diagram NOT
accurately drawn
2x
x + 5
All the measurements are in centimetres.
The area of the trapezium is 351 cm2.
(a) Show that 2x2 + x - 351 = 0

Answers

Answer 1

Answer:

Step-by-step explanation:

The area of a trapezium is given as;

Area = [tex]\frac{1}{2}[/tex](a + b)h

where: a is the length of the upper side, b is the length of its base and h is its height.

This implies that; a = x - 4, b = x + 5, h = 2x and area = 351

Thus,

351 =  [tex]\frac{1}{2}[/tex]((x - 4) + (x + 50)) 2x

      = (x - 4 + x + 5) x

531 = (2x + 1) x

      = 2[tex]x^{2}[/tex] + x

So that;

2[tex]x^{2}[/tex] + x - 531 = 0

This gives a quadratic equation.


Related Questions

do all three please help

Answers

Step-by-step explanation:

14)

30$ a day

y=30*d

15)

[tex]y = \frac{1000}{e} [/tex]

16)

earns $45 per hour and spends $20

y=45* x -20

estimate the product of 11.15 and 3.6​

Answers

Answer:

40.14

Step-by-step explanation:

Answer:

product: 40.14

Step-by-step explanation:

product is the number you get when you multiply

11.15 x 3.6 = 40.14

3. Which of the following illustrates how to find the difference of 5h3k and -4hk%? (5 – 4)kºk (544) 3-161-3 Not possible. O (5+4)733​

Answers

Answer:

Not possiblie

Step-by-step explanation:

I took the test

Answer:

not possible

Step-by-step explanation:

i also took the test ^^

Which expression is equilvalent to (5g-2h)-(3h+8-4g).

Answers

Answer:

9g -5h - 8

Step-by-step explanation:

We first have to get everything out of the parentheses, so we take the negative that is surrounding the parentheses and apply it to the equation inside of it, giving us this: 5g - 2h - 3h - 8 + 4g

Then, all we need to do is simplify it into this expression: 9g -5h - 8

Answer:

9g-5h-8

Step-by-step explanation:

(5g-2h)-(3h+8-4g)

Opening the brackets

5g-2h-3h-8+4g

9g-5h-8

A friend gives you six baseball cards for your birthday. Afterward,
you begin collecting them. You buy 4 baseball cards each week. Write
the equation of the line in slope-intercept form and interpret (explain)
the slope and the y-intercept of the line that represents this situation.

Answers

Answer:

y=4x+6

Step-by-step explanation:

You originally have 6 cards, and 4 a week will give you the equation 4x. Put it together to get 4x+6, add y to make it the correct equation. hope this helps

Sally bought a sweater for $24.99 with a 25% discount. What is the price of the
sweater after the discount?

Answers

There are two ways to do this, the one that makes more logical sense and the faster one

You can first calculate how much is 25%. You do this by $24.99 × 25 ÷ 100

Since you know how much is "discounted", just minus the answer you get above with the original price ($24.99 - $6.2475)

The quicker way is to recognise that "original price" is always 100%. In other words, you can just do 100% - 25% and get 75%. Then, $24.99×75÷100 is your answer.

$18.74

24.99 Times .75 = 18.74

WILL GIVE BRAINLIEST which expression is another way to write the one down here

Answers

Answer:

B

Step-by-step explanation:

it would be b cause like when there like  a parentheses beside a number it  means to times so yea. and please mark braonliest

Please help me with the answer

Answers

Answer:

3÷1/3

Step-by-step explanation:

What is the value of the expression 1/2 • 2^3 + 7?

Answers

1/2 and one 2 can be multiplied to 1 so the equation turns to:

2^2+7=4+7=11

Hope this helped if you have any more questions please ask in the comment section.

Please help me and thank you formula A= 1/2 (b) (h)

Answers

base: 120 inches
height: 48 inches
area: 2,880
hope this helps. let me know if you need an explanation :)
base - 120
height - 48

base (120) x height (48) = 5,760
5760 x 1/2 = (area) 2880

Find the value of x.
2x
20°
O A. 35
B. 45
O C. 10
D. 80

help me out pls , don’t answer if you have no clue of what the answer is .. that’s giving false information answer if you KNOW it ... not jus cause you want POINTS cause that can get you reported immediately . ❤️

Answers

the answer is b i know this because

Answer:35

Step-by-step explanation:

LET ME SPEAK TO YOUR MANAGER

please help with matrices

Answers

Answer:

(1/2) {ad - cb}  both expressions

Step-by-step explanation:

Notice that the area of the triangle in question can be calculated as the area of the larger right angle triangle OSQ MINUS the area of the smaller right angle triangle OPR, and MINUS the area of the trapezoid RSQP.

Given the coordinates of the given points, the formulas for area of triangles and of trapezoid, we have the following area subtractions:

1/2 (a + c) (b +d) - 1/2  a* b - 1/2  c (b + b + d)=

= (1/2) { ab + ad + cb + cd - ab - 2 cb -cd } =

= (1/2) {ad - cb}

On the other hand the matrix expression is giving you 1/2 of the determinant of the given matrix  such determinant is: ad - cb

Then we see that the equality is correct since (1/2) of the determinant is also :

(1/2) {ad - cb}

. Compute the exact mean (average) of the fractions below, in decimal form.

Answers

Answer:

2.4

Step-by-step explanation:

help agian!!!!!!!!! i will fall

Answers

Answer:

This net could form a Pyramid

will have 5 faces 5 points and 5 vertices

Step-by-step explanation:

A fruit company delivers its fruit in two types of boxes:large and small, A delivery of 3 large boxes and 2 small boxes has a total weight of 69 kilograms. A delivery of 5 large boxes and 6 small boxes has a total weight of 133 kilograms how much does each box weigh in kilograms

Answers

Answer:

12.625 kilograms for each box

Step-by-step explanation:

6+5+3+2=16 then add 133+69=202 then u divided 202 divided by 16 then u get 12.625 kilograms for each box

In the diagram, the measure of angle 3 is 105°. A transversal intersects 2 lines to form 8 angles. Clockwise from the top, the angles are 1, 2, 3, 4; 5, 6, 7, 8. Which angle must also measure 105°?

Answers

Answer:

1 is the answer (or A)

Step-by-step explanation:

Answer:

<1

Step-by-step explanation:

"A"

Help me pls, Due Today

Answers

the same 3 angles and three sides

C! anything congruent to something else is exactly the same as it in all parts

The variable q represents a positive integer. Does 3(59 + 9) + 5q represent a number that is greater than, less than, or equal to 4(59 + 6)? Show your work.

Thank you if you awnser this!​

Answers

Answer:

Depends on the value of q.

Step-by-step explanation:

3(59+9) + 5q = 3(68) + 5q = 204 + 5q

4(59+6) = 260

The value of the inequality equation is 3(59 + 9) + 5q < 4(59 + 6) , when the value of q < 11.2

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the first number be p = 3(59 + 9) + 5q

Now , the value of a = 204 + 5q

And , let the second number be q = 4(59 + 6)

Now , the value of b = 260

Now , for the value of p and q to be equal ,

Substituting the values in the equation , we get

204 + 5q = 260

Subtracting 204 on both sides of the equation , we get

5q = 56

Divide by 5 on both sides of the equation , we get

q = 11.2

Now , when q < 11.2 , the value of a < b

Hence , the inequality equation is 3(59 + 9) + 5q < 4(59 + 6) , when q < 11.2

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ2

Help
50 points and brainleist

Answers

Answer: -0.5c

Step-by-step explanation: multiply -2.5 by 1/5 (0.2) and you get -0/5

Answer:

-0/5

Step-by-step explanation:

-2.5 by 1/5 (0.2)

Which equation has the same solution(s) as X2+6x+1=0

Answers

Answer:

D

Step-by-step explanation:

complete the square

x^2 + 6x + 1 = 0

x^2 + 6x +(6/2)^2 -(6/2)^2 +1 =0

(x+3)^2 -9+1=0

(x+3)^2 = 8

Evaluate 3ac - b for a = 3, b = -1, C = 4.
PLEASE ASAP!!

Answers

Answer:

37

Step-by-step explanation:

3(3)(4)- -1

9(4)- -1

36- -1

36+1

37

Answer:

37

Step-by-step explanation:

Given : a = 3, b = -1, C = 4

3ac - b

= 3(3)(4) - (-1)

= 36 + 1

= 37

Milo types 35 words per minute. How many words can he type in 7 minutes
a. 245 words
b. 240 words
c. 250 words
d.275 words

Answers

The answer is A. 245 because I have to multiple the amount of words he can type in one minute by 7

The answer is A. 245 words  can he type in 7 minutes.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Milo types 35 words per minute.

words can he type in 7 minutes is 35*7

                                                      =245

because I have to multiple the amount of words he can type in one minute by 7.

hence, The answer is A. 245 words  can he type in 7 minutes.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

find the 17th term of the arithmetic sequence whose common difference is d=3 and whose first term is a1=1

Answers

Answer:

the 17th term is 51

Step-by-step explanation:

)*+*+*;*

the sides of a square are 24/9 inches long. What is the area of the square​

Answers

Answer:

the area of square is 2^(8/9) sq. inches.

Step-by-step explanation:

If the value of "y" varies directly with "X"
and y = -51 when x = 3, find "y" if x = 2.
Enter the number

Answers

Answer:

x : 3 :: y : -1

9 : 3 :: y : -1

3y = -9

y = -3

Answer:

-34

Explanation:

Y varies directly as x then the equation relating them is

y= kx ⬅️k is the constant of variation

To find k use the condition y= -51 when x=3

k= -17

y= -17x⬅️equation of variation

when x=2, then

y= -17*2=-34

Which of the following are equivalent to 160%?
0.16
1.6
1

asap plz

Answers

Answer:

1.6

Step-by-step explanation:

1.6!

Step-by-step explanation:

I need help on this math problem

Answers

Answer:

domain is 6,5,4,3

range is 8,9,10,11

look at the eggs *write a mixed number and an improper fraction for each mode**

Answers

17/20 20/17 ;) lmfoaoaoaoa uh yes

Can you guys help me I would really appreciate it! :)

Answers

Answer:
2:1
Step-by-step explanation:
12 = total
yellow labs : black labs
8 : 4
simplified version is 2:1

What is the solution to the system of equations given below?

y = 7x + 14 y = 6x + 15

A. x = 29, y = 217

B. x = -1, y = 7

C. x = 1, y = 21

D. x = 21, y = 1

Answers

C.
(1,21)

Let me know if u need the explanation but hope this helps!
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