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lozanna [386]
4 years ago
6

Use the quadratic formula to solve 2x^2=5x+6. Leave your answer in radical form. Show all of your work!

Mathematics
1 answer:
Westkost [7]4 years ago
8 0

Answer:

In radical from 169/50 , 177/200

Step-by-step explanation:

Given:

2x^2=5x+6\\\\2x^2-5x-6=0\\\\Where, a=2 , b=-5 , c=-6

Find:

Value of x

Computation:

Using quadratic formula:

\frac{-b\±\sqrt{b^2-4ac} }{2a}\\\\By\ putting\ all\ value\\\\ \frac{-(-5)\±\sqrt{(-5)^2-4(2)(-6)} }{2(2)}\\\\ \frac{5\±\sqrt{25+48} }{4}\\\\ \frac{5\±8.54 }{4}\\\\\frac{5+8.54 }{4},\frac{5-8.54 }{4} \\\\3.38 , 0.885

Value of x 3.38 , 0.885

In radical from 169/50 , 177/200

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A rectangular room is 3 meters wide, 4 meters long and 2 meters high. How far is it from the northeast corner at the floor to th
alina1380 [7]

Answer:

5.385

Step-by-step explanation:

We are given that the room is 3 meters in length, 4 meters in width, and a height of 2 meters.

To start with, we would need to use the Pythagorean Theorem to get the diagonal length of the box floor. The height doesn't matter here, at least not yet.

Using Pythagoras and considering the width and length, we have

3² + 4² = c²

9 + 16 = c²

25 = c²

c = 5

This is the diagonal length of the floor. Again, we create a whole new triangle making use of the height, the diagonal of the floor, and the distance we need. So we have

5² + 2² = c²

25 + 4 = c²

29 = c²

c = √29

c = 5.385 m

Thus, the needed distance is 5.385 m

6 0
3 years ago
Write the fraction of 7/14in it's simple form​
grin007 [14]

Answer:

1/2

Step-by-step explanation:

Divide both parts by 7

1/2

Hope this helps :)

5 0
3 years ago
Square root of 192 simplified
Sonja [21]
You must factoring the number 192, you will get 192=2^6*3, so you have square root(2^6*3)=2^(6/2)*root(3) applying enhancing property.
Solve the exponent and you get =2^3*root(3)= 8*root(3)
8 0
4 years ago
The cost of a gallon of milk used to be 2.25. The price has increased to 115 percent of what it was. What is the approximate new
s344n2d4d5 [400]
So if the was 2.25 and it has increased 115% that means that it has doubled but also has increased by 15% so the new price should be 

2.25+2.25+ (15% of 2.25) 

= 4.50 +<span> 0.3375 

= 4.83375 </span>
8 0
4 years ago
Find m+n.
Alik [6]
Easy Peasy Lemon Squeezy.

it's difficult because you are looking too hard. think simply. why does it tell you that angle is 40°?

Because if you follow the arrow back to where it starts you will see that exact same angle.

so now you know 1 (not m° or n°) angle inside the triangle is 40° and a complete triangle is 180°.

you also know a straight line has 180° on each side. and the line going from m° to n° splits that in half. meaning there is 90° to the right of it and 90° to the left of it. which means n° must equal 90°.

now you know you have 1 angle inside the triangle with 40° and n°=90° now you just need to find how much m° is.

add 40°+90° then Subtract from 180° to get m°.

180°-130°=50°
m°=50°
6 0
4 years ago
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