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lubasha [3.4K]
3 years ago
10

PLZ HELP I WILL MARK AS BRAINLIEST

Mathematics
1 answer:
-Dominant- [34]3 years ago
4 0

Answer:

  7 square units

Step-by-step explanation:

As with many geometry problems, there are several ways you can work this.

Label the lower left  and lower right vertices of the rectangle points W and E, respectively. You can subtract the areas of triangles WSR and EQR from the area of trapezoid WSQE to find the area of triangle QRS.

The applicable formulas are ...

  area of a trapezoid: A = (1/2)(b1 +b2)h

  area of a triangle: A = (1/2)bh

So, our areas are ...

  AQRS = AWSQE - AWSR - AEQR

  = (1/2)(WS +EQ)WE -(1/2)(WS)(WR) -(1/2)(EQ)(ER)

Factoring out 1/2, we have ...

  = (1/2)((2+5)·4 -2·2 -5·2)

  = (1/2)(28 -4 -10) = 7 . . . . square units

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Thrice the product of two and "Y".
love history [14]

Answer:

6Y

Step-by-step explanation:

We need to solve the statement ' Thrice the product of two and "Y" '.

Thrice means 3 times and product means multiply. It means we have to multiply 3,2 and Y.

Let the result is R. It can be calculated as follows :

R=3\times 2\times Y

We know that, 3×2 = 6

So,

R=6Y

Hence, Thrice the product of two and "Y" is 6Y.

6 0
3 years ago
The equation of four lines are given. Identify which lines are perpendicular.
Bumek [7]
Lines 2 and four r perpendicular I think
6 0
2 years ago
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Let f(x) be a quartic polynomial with integer coefficients and four integer roots. Suppose the constant term of f(x) is 6.(a) Is
frez [133]

Answer:

  (a) yes

  (b) no; see below

Step-by-step explanation:

(a) Integer roots of the quartic will be integer divisors of 6. One of the divisors of 6 is 3, so 3 is a possible root.

(b) In order for 3 to be a double root, it would have to be a double factor of 6. The only integer factors of 6 are 1, 2, 3, 6. (3² = 9 is not one.)

___

The quartic can be written as ...

  k(x -a)(x -b)(x -c)(x -d) . . . . . where a, b, c, d, k are integers

The constant term will be kabcd, of which each of the roots is a factor. If the constant is 6 and one root is d=3, then we must have

  kabcd = 3kabc = 6

  kabc = 6/3 = 2

Among these four integer factors, there must be an even number of minus signs, and one that has the value ±2. Another root whose value is 3 will not satisfy the requirements.

3 0
2 years ago
If a probability distribution is 5/12, 1/6, 1/3, x, what is the value of x
wolverine [178]

The probabilities of all possible outcomes in a distribution must sum to 1.

\dfrac5{12}+\dfrac16+\dfrac13+x=1\implies x=\dfrac1{12}

5 0
2 years ago
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What is the x-intercept of the line with the equation -2x + 1/2y = 18?
dimulka [17.4K]
-2x + (1/2)y = 18

(1/2)y = 2x + 18

y/2 = 2x + 18

y = 2*(2x + 18)

y = 2*2x + 2*18

y = 4x + 36

The x intercept is the value of x, when the y value is 0.

0 = 4x + 36

0 - 4x = 36

-4x = 36

x = 36/-4

x = -9

The x intercept is  -9

I hope this helps.  
6 0
3 years ago
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