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3 years ago

To solve 9x^2-12x+4=49 by using the Square Root Property, you would first rewrite the equation was as

Mathematics

1 answer:

uranmaximum [27]3 years ago

8 0

Given:

The equation is

$9x^2-12x+4=49$

To find:

The equation after first step to solve the given equation by using square root property.

Solution:

We have,

$9x^2-12x+4=49$

It can be written as

$(3x)^2-2(3x)(2)+(2)^2=49$

$(3x-2)^2=49$ $[\because (a-b)^2=a^2-2ab+b^2]$

Therefore, the equation can be rewritten in first step as $(3x-2)^2=49$ .

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Answer this please. Identify the vocabulary word that matches the picture. *

Greeley [361]

Answer:

Step-by-step explanation:

The line BD divides a right angle into two acute angles <CBD + <DBA

They add to 90.

They are therefore complementary.

The word you are looking for is complementary.

4 0

4 years ago

The price of an item was increased twice by the same percent. By what percent was the second increase if the item became 1.44 ti

Setler [38]

Answer:

20%

Step-by-step explanation:

Lets start solving the problem step by step,

here in this problem it is asked that the price of an item was increased twice by the same percent. by what percent was the second increase if the item became 1.44 times more expensive.

the best way of solving such kind of problems is to consider the number as 100 because it will be more easier to calculate its percent e.g. if you want to calculate 30% of 100 then it will be 30/100*100=30% and like that.

now further it is mentioned that the item was increased twice by the same percent means both time the same percentage increase was there.

it will make easy to guess it now ,

just start taking guesses fro minimum to max percent values.

take 10% now if first time there is 10% increase then the value will become 110 as the item was increased twice by the same percent so 10% of 110 will become 11 adding it to 110 will be 121 i.e w can say that the item value 100 will become 1.21 time that of original value 100.

now we get an idea that the percent of increase should be more than 10 percent as for 10% the item is getting only 1.21& expensive but we will need a percent increase for which item value must become 1.44 percent of its original value.

so now consider 20% as the increase in the item value each time.

for the first increase 20% of 100=20 and it becomes 120 after first increase.

now again we have to increase it by 20% for the second time as it is mentioned in the question.

Now 20% of 120 will give 24 and it becomes 144 after second increase.

so we can say that the number is increased by 1.44 percent of itself.

thus the percent by which the second increase should be done to make it 1.44 time more expensive is 20%

3 0

4 years ago

Solve using the given method<br> linear combination <br> 3x + 2y = -4<br> 4x - y = 13

anygoal [31]

Answer:

The solution is $x=2, y=-5$

Step-by-step explanation:

we have

$3x + 2y = -4$ ----> equation A

$4x - y = 13$ -----> equation B

Multiply the equation B by 2 both sides

$2*(4x - y)= 2*13$

$8x-2y= 26$ -----> equation C

Adds equation A and equation C

$3x + 2y = -4\\ \\8x-2y= 26\\ \\----------\\ \\3x+8x+2y-2y=-4+26\\ \\11x=22\\ \\x=2$

Find the value of y

substitute the value of x in the equation A

$3(2)+ 2y = -4$

$2y=-4-6$

$2y=-10$

$y=-5$

6 0

3 years ago

Read 2 more answers

Plane A leaves Tulsa at 2:00 p.m., averaging 300 mph and flying in a northerly direction. Plane B leaves Tulsa at 2:30 p.m., ave

mrs_skeptik [129]

Answer:

1061.32 miles apart

Step-by-step explanation:

Given that both planes A and B leave the same place and travel in perpendicular directions one in north and other in east.

The planes position at any time along with starting point can be visualized as a right triangle with sides equal to distances travelled by both the planes, and hypotenuse the distance between the planes, and the place Tulsa the vertex right angled.

Plan A starts at 2.00 with speed 300 mph

Hence at 5 p.m. distance travelled by plane A = 300(3) = 900 miles

Plane B starts at 2.30 with speed 225 mph

At 5 p.m. distance travelled = 225(2.50) = 562.50

Hence distance between the planes = length of hypotenuse

= $\sqrt{900^2+562.5^2} \\=\sqrt{810000+316406.25} \\=1061.32 miles$

The two planes are 1061.32 miles apart

6 0

3 years ago

Someone please help! i’ll give you a cookie

Mkey [24]

I am not sure if I am correct but I think it is C

7 0

3 years ago

Read 2 more answers