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3 years ago

If G=13 cm and H=85 cm what is the length of F

Mathematics

1 answer:

natali 33 [55]3 years ago

3 0

Is this a triangle? if so witch is the leg and the hypotenuse

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X^2 - 2x = 15 how do I solve this quadratic method?<br>I am stuck on it.... please help<br>

Anarel [89]

Answer:

(x - 5)(x + 3)

Step-by-step explanation:

to solve x² - 2x = 15, we need to get all the terms on one side so we can solve the quadratic equation using factoring. to do this, we subtract 15 from both sides

x² - 2x = 15

- 15 -15

x² - 2x - 15 = 0

now we can factor. we need 2 numbers that when multiplied together give us -15, and when those 2 numbers are added together we get -2

because we have a -15, we can assume that one number must be negative and the other positive, as a negative times a postive is a negative.

we can use 3 and -5 as factors and test it out. we put x in front because we have an x²

(x - 5)(x + 3) < we can FOIL to check to see if this is correct. its not mandatory to check but when you arent sure of the answer you can FOIL it out

FOIL stands for: First, Outside, Inside, and Last terms

F: (x - 5)(x + 3) = x²

O: (x - 5)(x + 3) = -3x

I: (x - 5)(x + 3) = 5x

L: (x - 5)(x + 3) = -15

x² + 3x - 5x - 15 < subtract 3x from 5x

x² - 2x - 15

this checks out, so our answer is (x - 5)(x + 3)

6 0

3 years ago

Read 2 more answers

If LM = 5 and MN = 5 what is LN

Romashka [77]

Answer:

LN=10

Step-by-step explanation:

if LM = 5 and MN = 5 then LN=10

4 0

3 years ago

3. Given: ABCE is a rectangle. D is the midpoint of E.

Georgia [21]

Answer with Step-by-step explanation:

We are given that

ABCE is a rectangle .Rectangle is that quadrilateral in which opposite sides are equal and each is equal to 90 degrees.

D is the midpoint of E.

We have to prove that $AD\cong BD$

Statement:1 ABCE is a rectangle.D is the mid point of CE

Reason: Given

Statement 2: $\angle AED\cong \angle BCD$

Reason:By definition of rectangle

Statement:3 AE=BC

Reason: By definition of rectangle

Statement 4: $ED=DC$

Reason: By definition of midpoint because D is the midpoint of side EC

Statement 5: $\triangle AED\cong \triangle BCD$

Reason:SAS postulate

Statement: 6 $AD\cong BD$

Reason:CPCT

Hence proved.

7 0

3 years ago

Hint: move the decimal left 4 places 58,927

Reil [10]

58,927 - move decimal 4 places to the left

5.8927

3 0

3 years ago

The cost function for a certain company is C = 20x + 700 and the revenue is given by R = 100x − 0.5x2. Recall that profit is rev

Sladkaya [172]

Answer:

The two values of production level are:

x = 20

x = 140

Step-by-step explanation:

Let's write the Profit equation by subtracting the cost function from the revenue one:

$Profit(x)=100\,x-0.5\,x^2-(20\,x+700)\\Profit(x)=-0.5\,x^2+80\,x-700$

Now, we set to find the production level "x" to give us a profit of $ 700:

$Profit(x)=-0.5\,x^2+80\,x-700\\700=-0.5\,x^2+80x-700\\0.5\,x^2-80\,x+1400=0$

So we solve this quadratic equation using the quadratic formula:

$x=\frac{80+/-\sqrt{80^2-4(0.5)(7700)}}{2\,*\,0.5} \\x=80+/-\sqrt{3600} \\x=80\,+/-\,60$

which gives two posible solutions: x = 20, or x = 140

6 0

4 years ago