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4 years ago

8

Solve this equation by completing the square. 3x2 - 4x = -2

1 answer:

lidiya [134]4 years ago

6 0

<span>Solve this equation by completing the square. 3x^2 - 4x = -2
</span>Step 1:
Divide by the leading coefficient (coef. of x^2), and transpose.
(3x^2 - 4x)/3 = -2/3
x^2-2(2/3)x = -2/3
Complete the square,
(x-2/3)^2 - 4/9 = -2/3
Solve for (x-2/3)
(x-2/3)^2= -2/3 + 4/9 = -2/9
x-2/3 = ± (√2)i/3
Solve for x
x=2/3± (√2)i/3
or
x=(2±(√2)i)/3

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What is 127.484 to the nearest whole number

nikklg [1K]

Answer:

127

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A whole number is a number without any fractions (or decimals), so you just have to round the number to the nearest number without any decimals, which is 127

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3 years ago

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Anettt [7]

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10/13

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3 years ago

The bear lake is 24 miles long. Suppose John starts cycling art one end at 20 m.p.h. and Ramona starts at the other end at 15 m.

Fed [463]

Answer:

24/35 hours or 0.69 hours

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

x-----> distance traveled by John

(24-x) ----> distance traveled by Ramona

The time is equal to divide the distance by the speed

so

x/20=(24-x)/15

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3 years ago

A kitchen measures 3.75 meters by 4.2 meters.

dalvyx [7]

Answer:

a. $A_{(kitchen)}=15.75\ m^2$

b. $A_{(total)}=39.375\ m^2$

Step-by-step explanation:

The formula for calculate the area of a rectangle is:

$A=lw$

Where "l" is the lenght and "w" is the width

a. We know that the kitchen measures 3.75 meters by 4.2 meters; then we can say that:

$l=3.75\ m\\\\w=4.2\ m$

Therefore, substituting these values into the formula, we get that the area of the kitchen is:

$A_{(kitchen)}=(3.75\ m)(4.2\ m)=15.75\ m^2$

b. The area of the living room is one and a half times (1.5 times) that of the kitchen, this is:

$A_{(living)}=(1.5)(15.75\ m)=23.625\ m^2$

Therefore, the total of the living room and the kitchen is:

$A_{(total)}=15.75\ m^2+23.625\ m^2=39.375\ m^2$

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3 years ago

Find the Measure of angle O<br> (see image)<br> Only real answers, please

-Dominant- [34]

Answer:

From the given figure we can see that :---

MN||PO, MN=PO and MP=NO

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<h3>Hence, angle O is <u>52°.</u></h3>

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3 years ago