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3 years ago

3. IF ON = 5x - 7, LM = 4x +4, NM = x - 7, and OL = 3y – 4, find the values of x and y for which LMNO must

Mathematics

1 answer:

kkurt [141]3 years ago

3 0

Answer:

x = 11 and $y = \frac{8}{3}$

Step-by-step explanation:

If LMNO is a parallelogram then it's opposite sides will be equal.

So, LM = ON

⇒ 4x + 4 = 5x - 7

⇒ x = 11

Now, MN = OL

⇒ x - 7 = 3y - 4

⇒ 11 - 7 = 3y - 4 {Since we already have, x = 11}

⇒ $y = \frac{8}{3}$ (Answer)

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<h3><u>Explanation</u></h3>

Convert the equation into slope-intercept form.

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Step-by-step explanation:

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3 years ago

Allowing 20% discount on the marked price. of 아 a watch, the value of the watch will be Rs. 2378. If the VAT of 10% is added, fi

Harrizon [31]

Answer:

The marked price of the watch is $2,702.27.

Step-by-step explanation:

Since allowing 20% discount on the marked price of a watch, the value of the watch will be Rs. 2378, to determine, if the VAT of 10% is added, it's marked price, the following calculation must be performed:

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3 years ago

Find the number b such that the line y = b divides the region bounded by the curves y = 36x2 and y = 25 into two regions with eq

Gemiola [76]

Answer:

b = 15.75

Step-by-step explanation:

Lets find the interception points of the curves

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The whole region has an area of 250/9. We need b such as the area of the region below the curve y =b and above y=36x^2 is 125/9. The region would be bounded by the points z and -z, for certain z (this is for the symmetry). Also for the symmetry, this region can be splitted into 2 regions with equal area: between -z and 0, and between 0 and z. The area between 0 and z should be 125/18. Note that 36 z² = b, then z = √b/6.

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125/18 = b^{1.5}/9

b = (62.5²)^{1/3} = 15.75

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4 years ago