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3 years ago

Does somebody know this problem?

Mathematics

1 answer:

Katarina [22]3 years ago

5 0

You can use Pythogarean theorem to find the second leg:
${a}^{2} + {b}^{2} = {c}^{2} \\ \\ {48}^{2} + {b}^{2} = {50}^{2} \\ \\ 2304 + {b}^{2} = 2500 \\ \\ {b}^{2} = 196 \\ \\ b = 14$
So, x is equal to 14.

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KL = 4x+7 and LM= 5x-4

saul85 [17]

4x+7=5x-4
-4x -4x
7=x-4
+4 +4
11=x

6 0

3 years ago

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Miss wings cooking class make 3 gallons of blueberry jam and 14 cups of strawberry jam how many cups of jim did the class make a

Marianna [84]

There are 16 cups in a gallon. So they made 62 cups of jam in all.

5 0

4 years ago

Select the correct answer from each drop-down menu.

Alenkasestr [34]

Answer:

The points of intersections are: (1.5 , 1.25) and (4 , 0)

Step-by-step explanation:

Given:

y = x² - 6x + 8 ⇒ (1)

2y + x = 4 ⇒ (2)

And required the solution of the system of equations.

By graphing the system of equations, the points of intersections are:

(1.5 , 1.25) and (4 , 0)

See the attached figure.

Another solution:

By substitution of y from the second equation at the first equation.

From (1) ⇒ y = 0.5 (4-x)

At (2): and solve for x

0.5 ( 4 - x ) = x² - 6x + 8 ⇒ multiply both sides by 2

4 - x = 2x² - 12x + 16

2x² - 12x + 16 + x - 4 = 0

2x² - 11x + 12 = 0

The general solution of the quadratic equation:

$x = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

so, a = 2 , b = -11 and c = 12

∴ $x=\frac{-(-11) \pm \sqrt{(-11)^2-4*2*12} }{2*2}=\frac{11 \pm \sqrt{25} }{4} =\frac{11 \pm 5}{4} \\x = \frac{11+5}{4} = \frac{16}{4}=4\\ OR \ x = \frac{11-5}{4}=\frac{6}{4}=1.5\\$

∴ at x = 4 ⇒ y = 0.5 (4-x) = 0.5 * 0 = 0

And at x = 1.5 ⇒ y = 0.5 (4-x) = 0.5 * ( 4 - 1.5 ) = 0.5 * 2.5 = 1.25

So, the solution are the points (4,0) and (1.5 , 1.25)

6 0

3 years ago

Who was the proprietor of the colony of Pennsylvania?

Alex787 [66]

Answer:A William Penn

Step-by-step explanation:

Given to him in 1681 for a debt

4 0

4 years ago

Read 2 more answers

I don't know what the symbol means or what to do.

Irina-Kira [14]

Answer:

Step-by-step explanation:

That weird symbol means "element". In our case, the elements of the domain (the x-values) are -15, -6, -1. Which tells us that we are going to sub each one of the numbers into the equation and solve it for the corresponding y value. That in turn gives us the coordinate point. The equation is

x + y = 6

Subbing in first -15 for x:

-15 + y = 6 and

y = 6 + 15 so

y = 21 and the coordinate point is (-15, 21).

Subbing in -6 for x:

-6 + y = 6 and

y = 6 + 6 so

y = 12 and the coordinate point is (-6, 12).

Subbing in -1 for x:

-1 + y = 6 and

y = 6 + 1 so

y = 7 and the coordinate point is (-1, 7)

The second choice is the one you want.

Just remember that x is the domain and any elements in the domain go in for x.

Also remember that y is the range and any elements in the range go in for y

7 0

3 years ago