1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Triss [41]
3 years ago
5

the diagram below shows a trapezium. all the measurements are in centimetres. the area of the trapezium is 30 cm^2 l. Set up and

solve a quadratic equation to work out the value of x

Mathematics
1 answer:
erica [24]3 years ago
5 0

Answer:

x²+x-30

x=5

Step-by-step explanation:

The equation is

(x+3+x-1)/2 × x=30

x²+x-30 (it's the quadratic equation)

x²+6x-5x-30=0

x(x+6)-5(x+6)=0

(x+6)(x-5)=0

x=-6

x=5

It's impossible for Length to be negative

So x=5

You might be interested in
Plz help me out !! Am rlly bad at these type of math
Sever21 [200]

Answer:

Ok look times 18 and 10 then what ever you get with that times it with 12

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
What value of y makes the equation true? -7/12=y/-36
STALIN [3.7K]
-7/12=y/-36
times both sides by -36 (-36=12*-3)
-3*-7=y
21=y

y=-21
7 0
3 years ago
If 1/√a-√b=1/3 and 1/√a+√b=1/2, then find the difference of a and b.​
kow [346]

<u>ANSWER:</u>

If \frac{1}{\sqrt{a}-\sqrt{b}}=\frac{1}{3} and \frac{1}{\sqrt{a}+\sqrt{b}}=\frac{1}{2} then the difference of a and b is 6

<u>SOLUTION:</u>

Given, \frac{1}{\sqrt{a}-\sqrt{b}}=\frac{1}{3} →\sqrt{a}-\sqrt{b}=3 ----- (1)

And \frac{1}{\sqrt{a}+\sqrt{b}}=\frac{1}{2} → \sqrt{a}+\sqrt{b}=2 --- (2)

We have to find difference of a and b.

Now, add (1) and (2)

\sqrt{a}-\sqrt{b}=3

\sqrt{a}+\sqrt{b}=2

Adding above two equations, we get,

2 \sqrt{a}+0=2+3

\begin{array}{l}{2 \sqrt{a}=5} \\\\ {\sqrt{a}=\frac{5}{2}} \\\\ {a=\frac{25}{4}}\end{array}

substitute \sqrt{a} value in (2)

\begin{array}{l}{\frac{5}{2}+\sqrt{b}=2} \\\\ {\sqrt{b}=\frac{2}{\sin \frac{5}{2}}} \\\\ {\sqrt{b}=\frac{4-5}{2}} \\\\ {\sqrt{b}=\frac{-1}{2}} \\\\ {b=\frac{1}{4}}\end{array}

Now, difference of a and b is a – b = \frac{25}{4}-\frac{1}{4}=\frac{24}{4}=6

Hence, the difference of a and b is 6.

8 0
4 years ago
Ally babysat nine times. She earned $15, $20, $10, $12, $20, $16, $80, and $18. Find the mean number of dollars that Ally earned
eduard

Answer:

The mean is 21.62 which is approximately 22

Step-by-step explanation:

mean= 15+20+10+12+20+16+80+18/8=21.62 because

mean= sum of all numbers/numbers mentioned

7 0
3 years ago
What are the domain and range of each relation? Drag the answer into the box to match each relation. A mapping diagram. Element
ra1l [238]

Answer:

Domain: {−2, −1, 0, 2} Range: {−4, −2, 2}

Step-by-step explanation:

We have been given a mapping diagram as shown below:

X Y

-2 -4

-1 -2

0 2

2


For better view, you can check the attached mapping diagram.

From that diagram we have to find domain and range.

Domain contains only x values so domain will be:

Domain: {-2,-1,0,2}

Range contains only y values so range will be:

Range: {-4,-2,2}

We see that only third choice matches obtained values of domain and range.

Hence final answer is  Domain: {−2, −1, 0, 2} Range: {−4, −2, 2}

7 0
3 years ago
Other questions:
  • Convert 24 centimeters to inches. Use the rate or conversation factor 1inch/2.54 cm
    8·2 answers
  • PLS HELP!!<br>24a-3+4a-3y+7​
    12·1 answer
  • 7. Solve. Reduce the answer to lowest terms.<br> 8/21 - 14/15
    9·1 answer
  • What is x&gt;2? because i really don't know
    6·2 answers
  • Give the slope between the points<br> (-5,-3) (-1,-8)
    5·1 answer
  • 3x -4y = 5
    5·1 answer
  • Quadrilateral WXYZ is dilated by a scale factor of į to form quadrilateral W'X'Y'Z'. What is the measure of side ZW? Z 28 Y" 42
    7·1 answer
  • 4(w-4) - 7w help me pleass
    12·1 answer
  • The following graph shows how many gallons of water leaves a bucket every hour.
    8·1 answer
  • ‏The result of a division problem is the a ) divisor . b ) quotient . c ) factor . d ) remainder .
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!