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2 years ago

Identify the equation that describes the line in slope-intercept form.

Mathematics

2 answers:

denpristay [2]2 years ago

6 0

Answer:

Y=2x-4

Step-by-step explanation:

MrMuchimi2 years ago

5 0

Answer: y= 2x-4

Step-by-step explanation: The slope intercept form is y=mx + b . M is equal to the slope and b is equal to the y intercept. Substitute in accordingly.

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A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the

Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of metal

y ----> the original width of the piece of metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

$L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in$

The volume of the box is equal to

$V=(x-10)(y-10)5$

$V=930\ in^3$

$930=(x-10)(y-10)5$

simplify

$186=(x-10)(y-10)$ -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

$x=y+25$ ----> equation B

substitute equation B in equation A

$186=(y+25-10)(y-10)$

solve for y

$186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

$x=16+25=41$

therefore

The original length was 41 inches and the original width was 16 inches

3 0

3 years ago

How many subsets of the set $\{1,2,3,4, 5, 6, 7, 8, 9, 10\}$ contain the number 5?

lianna [129]

For the given set of numbers:
<span>{1,2,3,4, 5, 6, 7, 8, 9, 10}
the number of elements
n=10
the total number of subsets is given by:
2^10=1024

</span>

6 0

3 years ago

Explaining your answer can either include a counterexample, a diagram or a written explanation to support your answer.

anzhelika [568]

Answer:

sorry I didn't understanding this

6 0

3 years ago

Find the value of “x”

zepelin [54]

Ur answer will be 55 because it’s a triangle and a triangle has 180 degrees
180-125=55:)

5 0