Mathematics, 07.02.2021 06:00 skyvargasov9cad

The picture is sideways. Please help, much appreciated!

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Answer from: Cate9216

$0< b\leq 14.5$

Step-by-step explanation:

Let's set up our equation. We know that rectangles have two pairs of equal sides. We are also given that one pair of those sides is 1 unit longer than the other pair. Finally, we are told that the perimeter is at most 60 meters. 'At most' tells me to set up an inequality.

I'm going to set up two equations to solve this problem. First, let be the longer side and be the shorter side.

$2a+2b\leq 60$

Next, because the sides are consecutive integers and is shorter, we can say that a-b=1 .

We now have a system of equations. I will solve using substitution.

$a-b=1\\a=b+1$

Substitute into the first equation.

$2(b+1)+2b\leq 60$

Solve algebraically.

$2b+2+2b\leq 60\\4b+2\leq 60\\4b\leq 58\\b\leq 14.5$

So, could be any integer between 0 (since distance cannot be negative) and 14.5, also written as .

I hope this helped!

Answer from: Quest

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

$4/2 = 2\\7/3.5=2\\8/4=2\\10/5=2$

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

$y=\frac{x}{2}$

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

Answer from: Quest

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation. the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

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