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3 years ago

Hannah factored the expression 24xy + 15y. Her work is shown below.

Mathematics

2 answers:

Evgesh-ka [11]3 years ago

6 0

Answer:

the top is the right answer

Step-by-step explanation:

Cloud [144]3 years ago

4 0

the correct answer on edge is;

a. she divided by 3 instead of the GCF.

d. she didn’t complete step 4 and use the distributive property to be sure the expressions are equivalent.

e. she didn’t undistribute the GCF from the original expression.

welcome!

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What are the rise and run of the line whose equation is y=15x?

Blababa [14]

Answer:

Rise = 15.

Run = 1.

Step-by-step explanation:

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2 years ago

Keith needed 100 feet of rope to make a border at a fundraising event his youth grew was holding at a local park. Someone gave h

Alexeev081 [22]

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6 0

3 years ago

Read 2 more answers

URGENT!!!! Please add workings out

Artist 52 [7]

Answer: 26.457 cm

Explanation:

First, the height of an equilateral triangle of side length a is:

$h = \frac{\sqrt{3} }{2}*a$

In this case, the side-length of the triangles is a = 10cm, then the height will be:

$h = \frac{\sqrt{3} }{2}*10cm = 8.66cm$

Now we can think on a triangle rectangle such that:

Point A and point F are vertexes of the triangle.

The line we want to find, the line from A to F, is the hypotenuse.

One cathetus is a the height of the triangle, that comes down from point A, the length of this cathetus is 8.66cm

The other cathetus is equal to half the side length of the triangles (5cm) plus the segments BD and DF (of 10cm each)

Then the length of this cathetus is 10cm + 10cm + 5cm = 25cm

Now, we can remember the Pythagorean theorem.

If H is the hypotenuse, and A and B are the catheti, then we have:

A^2 + B^2 = H^2

In this case, we know the length of both cathetus, and want to know the length of the hypotenuse, then:

(25cm)^2 + (8.66cm)^2 = H^2

√( (25cm)^2 + (8.66cm)^2) = H = 26.457 cm

Then the line from A to F is 26.457 cm

6 0

3 years ago

1. In ABC, A=45 degrees, B=75 degrees, and BC=12. What is the length of AB?

Aleksandr-060686 [28]

We know that sum of the interior angles of any triangle equal 180° :

So :

A + B + C = 180°

45° + 75° + C = 180°

120° + C = 180°

Both sides minus ( 120°) :

C = 180° - 120°

C = 60°

_________________________________

According to the theorem of sinuses :

$\frac{AB}{ \sin(C) } = \frac{BC}{ \sin(A) } \\$

$\frac{AB}{ \sin(60) } = \frac{12}{ \sin(45) } \\$

$\frac{AB}{ \frac{ \sqrt{3} }{2} } = \frac{12}{ \frac{ \sqrt{2} }{2} } \\$

$Multiply \: both \: sides \: by \: \frac{ \sqrt{3} }{2}$

$AB = \frac{24}{ \sqrt{2} } \times \frac{ \sqrt{3} }{2} \\$

$AB = \frac{12 \sqrt{3} }{ \sqrt{2} } \\$

$AB = \frac{2 \times 6 \sqrt{3} }{ \sqrt{2} } \\$

$AB = \frac{ ({ \sqrt{2} })^{2} \times 6 \sqrt{3} }{ \sqrt{2} } \\$

$AB = \frac{ \sqrt{2} \times \sqrt{2} \times 6 \sqrt{3} }{ \sqrt{2} } \\$

$AB = \frac{ \sqrt{2} \times 6 \sqrt{3} }{1} \\$

$AB = \sqrt{2} \times 6 \sqrt{3}$

$AB = 6 \sqrt{2 \times 3}$

$AB = 6 \sqrt{6}$

_________________________________

I think this is the correct answer.

And we're done.

Thanks for watching buddy good luck.

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4 0

3 years ago

Solve for f. 2f = -38-22 4 Pls help doing a test?

Dvinal [7]

Answer:

f=2

Step-by-step explanation:

hope this helps you

7 0

3 years ago