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stiv31 [10]
3 years ago
5

What number should be added to both sides of the equation to complete the square X2+3x=6

Mathematics
2 answers:
Paladinen [302]3 years ago
5 0

Answer:

\frac{9}{4}

Step-by-step explanation:

Here we will first split the middle term in such way that it is a product of 2 and some factor. In this case 3 can be splitter as product of 2 and 3/2.

We then add the square of 3/2 on both sides. Let us see how:

x^2+3x=6\\x^2+2*\frac{3}{2}*x=6\\x^2+2*\frac{3}{2}*x+(\frac{3}{2})^2=6+(\frac{3}{2})^2\\(x+\frac{3}{2})^2=6+\frac{9}{4}\\(x+\frac{3}{2})^2=\frac{33}{4}

harina [27]3 years ago
3 0

Answer:

add 6

Step-by-step explanation:

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JulsSmile [24]

Answer: x = 1/16

Step-by-step explanation:

Since the inverse of a Logarithm is an exponential function, we know that the final solution has to involve an exponential function somewhere in it.

1. log B(2) {x} = -4  || given

2. x = 2 ^ -4  || Logarithm rule that allows you to move the base of the logarithm to the base of the exponent on the other side. For example, if you had log B(5) {x} = 3, the base of 5 would move over to the other side and it would be raised to 3; x = 5^3.

3. x = (1) / (2^4) || Simplify. Use the negative exponent rule. This rule always leaves a numerator of 1, and a denominator of your exponent. In this case, it will be 2 ^ -4, so you will do 2^4 which is 16 and you will put that over 1. Resulting in your final answer of x = 1/16

3 0
3 years ago
What is the scale factor from polygon ABCD to polygon PQRS??
deff fn [24]

Scale factor is defined as a number which multiplies or scales some quantity.

The shape of the figure remains same, the image  becomes larger or smaller.

If the scale factor is greater than one, then the image is enlarged.

If the scale factor is less than 1 but greater that 0, then the image becomes smaller.

In the above image,  AD = 2 units.

It's corresponding side PS =  3 units

Similarly AB = 1 unit and PQ = 1.5 units

Hence , 1 * 1.5 = 1.5

2*1.5 = 3

Hence, the scale factor of the given image is 1.5 ... Answer

7 0
3 years ago
HELPPPPP!!!! ASAPPPPP!!!!!
kaheart [24]

Answer:

24

Step-by-step explanation:

XW=WY=12

If the opposite angle is 30, the hypotenuse is double the small side.

XZ=XW=2·12=24

5 0
3 years ago
Solve the inequality.<br>–5r+3≥-2​
andrew-mc [135]

Answer:

the answer is r<1 that's the inequality

5 0
3 years ago
Noah’s remote control car moved 12 feet in 6 seconds. Which graph has a slope that best represents Noah’s car’s average rate of
vaieri [72.5K]

We want to find a graph that represents Noah's average speed.

We define the average speed as the quotient between the distance moved and the time it takes to move that distance, then in this case we will have:

s = 12ft/6s = 2ft/s

Then we can define a linear equation:

y = (2ft/s)*x

As the distance that Noah travels in x seconds.

The graph of the given linear function can be seen below, and that is the graph with the slope that best represents Noah's average speed.

If you want to learn more, you can read:

brainly.com/question/11897796

6 0
3 years ago
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