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3 years ago

2m^2+2m-12=0 in vertex form

Mathematics

1 answer:

oksian1 [2.3K]3 years ago

5 0

Answer:

y = 2(m + 1/2)^ -25/2

Step-by-step explanation:

vertex form is:

y = 2m^2 + 2m - 12

y + 12 + ( )___ =( ) 2m^2 + 2m + ___

Because a is not one, you must divide the entire right side by the a value, which is 2. Then place the 2 in the parenthesis.

y + 12 + (2)__ = (2) m^2 + m + __

Take half of b, b being one.

Half of be is 1/2. Now square it to get 1/4. Place that value in the blanks.

y + 12 + (2)1/4 = (2) m^2 + m + 1/4

Now simplify the left side and factor the right side.

y+ 12 + 1/2 = 2(m + 1/2)^2

y + 25/2 = 2(m + 1/2)^2

Subtract 25/2 from both sides.

y = 2(m + 1/2)^ -25/2

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HELP!!!!

aniked [119]

Answer:

A. Plane B because it was 9.33 miles away

B. 48 units

Step-by-step explanation:

A. Since the airplanes fly at an angle to the runway, their direction forms a triangle with the runway with their height above the ground as the opposite of the angle and their distance from the airport as the hypotenuse.

So for airplane A with 44° angle of departure,

sin44° = y/h where y = height above the ground and h = distance from airport

So h = y/sin44° = 6/sin44° = 8.64 miles

So for airplane B with 40° angle of departure,

sin40° = y/H where y = height above the ground and H = distance from airport

So H = y/sin40° = 6/sin40° = 9.33 miles

Since airplane B is at 9.33 miles away from the airport whereas airplane A is 8.64 miles from the airport, airplane B is farther away.

B. We know that scale factor = new size/original size

Our scale factor = 4 and original size = 12 units. So,

new size = scale factor original size = 4 × 12 = 48 units.

8 0

3 years ago

Teresa earned scores of 88, 84, 88 points and 91 points on 4 test what is the lowest score she can get on the fifth test and sti

Usimov [2.4K]

Answer:

99 points

Step-by-step explanation:

Average of a data a is the sum of the data divided by the number of data.

Average = sum of data ÷ number of data

A = T/n .....1

For the average of 5 test to be 90.

The total sum of score must be;

Number of tests n = 5

Average A = 90

Substituting into equation 1

90 = T/5

T = 90×5 = 450 points

The total score must be equal to 450 point to have an average of 90 points

The sum of the first four test is;

88+84+88+91 = 351

Let x represent the first score,

351 + x = 450

x = 450 - 351

x = 99 points

The minimum score she can get in the fifth test is 99 points

5 0

3 years ago

What is the measure of ∠S ?

jeka94

Alright, lets get started.

We could use sine law to find the remaining angle.

$\frac{sinA}{a} = \frac{sinB}{b}$

$\frac{sinS}{63.6} = \frac{sin64}{69.8}$

Plugging the value of sin 64

$\frac{sinS}{63.6} = \frac{0.8987}{69.8}$

$\frac{sinS}{63.6} = 0.01287$

Cross multiplying

sin S = 0.8189

Taking inverse on both side

$S = sin^{-1}(0.8189)$

S = 55° : Answer

Hope it will help :)

4 0

3 years ago

Read 2 more answers

The set of ordered pairs represented by the graph below can be described as which of the following

Aneli [31]

ANSWER

a relation only

EXPLANATION

The given graph shown in the attachment represents only a relation and not a function.

The reason is that, a vertical line drawn across this graph will intersect this graph at more than one point.

Since the graph fails to pass the vertical line test, the ordered pair represented by this graph represents a relation only.

6 0

3 years ago

Read 2 more answers

I will give brainliest if correct

dalvyx [7]

Answer:supplementary

Step-by-step explanation:

Opposite angles in any quadrilateral inscribed in a circle are supplements of each other.

5 0

3 years ago