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Vanyuwa [196]
3 years ago
9

Can someone please help me with this? thank u so much ​

Mathematics
2 answers:
MatroZZZ [7]3 years ago
6 0

Step-by-step explanation:

The perimeter of a triangle is calculated by adding all three side lengths together

That means x + 3 + x + 4 + x + 1 = 17 add the like terms

3x + 8 = 17

3x = 9

x = 3

BC = x + 3 ➡ 6

CD = x + 4 ➡ 7

BD = x + 1 ➡ 4

NeX [460]3 years ago
3 0

Answer:

see explanation

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle.

Sum the 3 sides and equate to 17, that is

x + 3 + x + 1 + x + 4 = 17, that is

3x + 8 = 17 ( subtract 8 from both sides )

3x = 9 ( divide both sides by 3 )

x = 3

Thus

BC = x + 3 = 3 + 3 = 6

CD = x + 4 = 3 + 4 = 7

BD = x + 1 = 3 + 1 = 4

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Howie sorkin can travel 8 miles upstream in the same time it takes him to go 12 miles downstream. His boat goes 15 mph in still
lozanna [386]

Answer: the speed of the current is 2.5 mph

Step-by-step explanation:

Let the speed of the boat be x miles per hour

Let the speed of the current be y miles per hour

Speed = distance / time

Time = distance/speed

If the boat goes 12miles downstream(in still water) at 15 mph then, the time is

12/ 15 = 0.8 hours

In still water, it means that it moved in the same direction with the current.

The total speed would be x + y. Therefore

x + y = 15 - - - - - - -1

If the boat goes 8 miles upstream in 0.8 hours, the the speed is

8/ 0.8 = 10 miles per hour

Assuming it moved in the opposite direction to the current.

The total speed would be x -y. Therefore

x - y = 10 - - - - - - -2

Adding equation 1 and equation 2, it becomes

2x = 25

x = 25/2 = 12.5

y = 15 - x

y = 15 - 12.5 = 2.5 miles per hour

8 0
3 years ago
PLEASE HELP ASAP! WILL GIVE BRAINLIEST! ^^ Sarah and Noah work at read on bookstore and get paid the same hourly wage. The table
Inessa05 [86]

Answer:

1) 8= (5xW)+(3xW) (she worked 8 hours total over spread of two days)

2) 8=8xW (he worked 8 hours total over one day)

3) Yes, they worked the same number of hours, they just worked for an different amount of hours.

Step-by-step explanation:

I kind of explained it in the answer, but if you'd like a clarification.

8 0
3 years ago
How many ounces in 2 pints
Elis [28]

Answer:

32 US Fluid Ounces

More Details would be nice though if i'm incorrect.

6 0
3 years ago
Read 2 more answers
Please help me thank you!
sergiy2304 [10]

Answer:

The equation of the line that passes through the points

(5,2) and (-5,6)

is

y=-2/5x+4

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(5,2) and (-5,6).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (5,2), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=5 and y1=2.

Also, let's call the second point you gave, (-5,6), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-5 and y2=6.

Now, just plug the numbers into the formula for m above, like this:

m= 6 - 2/-5 - 5 or m= 4-10 or m=-2/5

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=-2/5x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(5,2). When x of the line is 5, y of the line must be 2.

(-5,6). When x of the line is -5, y of the line must be 6.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=-2/5x+b. b is what we want, the -2/5 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (5,2) and (-5,6).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(5,2). y=mx+b or 2=-2/5 × 5+b, or solving for b: b=2-(-2/5)(5). b=4.

(-5,6). y=mx+b or 6=-2/5 × -5+b, or solving for b: b=6-(-2/5)(-5). b=4.

3 0
2 years ago
Simplify (4x-6)-(3x+6)
DaniilM [7]

Answer:

x-12

Step-by-step explanation:

First open the brackets

=(4x-6)-(3x+6)\\\\\\=4x-6-3x-6

Then collect the like terms

4x-3x-6-6

Solve the like terms

4x-3x=x\\\\\\-6-6=-12\\\\\\=x-12

The simplified form is

x-12

3 0
3 years ago
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