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elena-s [515]
2 years ago
7

ABCD is a rectangle in which AD = (2x + 1) cm and DC = (3x - 2) cm. PQRS is a trapezium in which PQ is parallel to SR, PQ = (x +

2) cm, SR = (5x − 8) cm and the shortest distance between PO and SR is (4x – 11) cm. The area of ABCD is twice the area of PQRS. Write down an equation in x to represent this information and show that it simplifies to 18x²-89x + 68 = 0.​
Mathematics
2 answers:
Lana71 [14]2 years ago
5 0
17/18 maybe i’m not sure
fiasKO [112]2 years ago
3 0

Answer:

x=4

or

x=17/18

Step-by-step explanation:

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5. What is an equation of the line in slope-intercept form?
777dan777 [17]

Answer:

y = (2/7)x -12

Step-by-step explanation:

y = mx + b is the standard form of an equation of a straight line in which m is the slope and b is the y-intercept (the value of y when x is zero)..

<u>m</u>=(2/7) and <u>b</u> = -12

y =   <u>m</u>x  + <u>b</u>

y = (<u>2/7</u>)x <u>-12</u>

8 0
3 years ago
Solve the given equations. PLEASE show your work. Choose if the equation has infinite many solutions or no solution. It can have
nadezda [96]
The answer is x=6/7.

4 0
2 years ago
Which form most quickly reveals the vertex?
Jet001 [13]

Answer:

Step-by-step explanation:

A

A will give you the roots (the x intercepts) just by reading the numbers and doing a small adjustment.

x + 1 = 0

x = - 1            So one of the roots is (-1,0)

x + 5= 0

x = - 5           The other root is (-5,0)

A is not the answer.

B

I have graphed B so that you can see that A is true. See below, Even so, B is in standard form and it is not the answer.

C

The answer is C. The vertex is at 2,27

x - 2 = 0

x = 2

The maximum value is located at 27 which is just read.

That point (2,27) is plotted on the graph.

6 0
2 years ago
A $45 pair of rainboots is on sale for $38.2. what percent does the customer save?
aksik [14]

Answer:

Step-by-step explanation:

Discount = 45 - 38.20 = $ 6.80

Discount % = \frac{Disscount}{Original price}*100

                   =  \frac{6.80}{45}*100

                   = 15.11 %

Percentage of savings = 15.11%

4 0
2 years ago
What two numbers can be multiplied to get - 35 and adds up to get -3
True [87]
x^{2}- 3x - 35 = 0
x = \frac{3 \pm \sqrt{9 - 4(-35)}}{2}
x = \frac{3 \pm \sqrt{149}}{2}

Hence, your two values are: \frac{3 + \sqrt{149}}{2} and \frac{3 - \sqrt{149}}{2}
6 0
2 years ago
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