All categories

3 years ago

A triangle has a perimeter of 7x-2y+15 and has sides of length 5x+y and 7+x, what is the length of the third side ?

Mathematics

1 answer:

cestrela7 [59]3 years ago

5 0

Answer:

x - 3y + 8

Step-by-step explanation:

The perimeter of a triangle is sum of all the three sides.

One side is 5x + y

Another side is 7 + x

Let third side be m

And perimeter is 7x - 2y + 15

We simply sum the 3 sides and equate it to expression of perimeter and find m(third side). Shown below:

5x + y + 7 + x + m = 7x - 2y + 15

6x + y + 7 + m = 7x - 2y + 15

m = 7x - 2y + 15 - 6x - y - 7

m = x - 3y + 8

This is the length of the third side "x - 3y + 8"

You might be interested in

On a coordinate plane, a curved line with a minimum value of (5.1, negative 7) and a maximum value of (0, 25), crosses the x-axi

liubo4ka [24]

Answer:

The true statement is D

Step-by-step explanation:

The rest of the question is the attached figure and the statement options.

A. Over the interval [–4, –2], the local minimum is 0.
B. Over the interval [–2, –1], the local minimum is 25.
C. Over the interval [–1, 4], the local minimum is 0.
D. Over the interval [4, 7], the local minimum is -7.

============================================================

According to the graph, we will check the options:

A. Over the interval [–4, –2], the local minimum is 0. (Wrong)

Because the minimum is -12

B. Over the interval [–2, –1], the local minimum is 25. (Wrong)

Because the minimum is 18

C. Over the interval [–1, 4], the local minimum is 0. (Wrong)

Because the minimum is at x = 4 less than zero

D. Over the interval [4, 7], the local minimum is -7. (True)

5 0

3 years ago

Read 2 more answers

a farmer notes that in a field of goats and geese there are 41 heads and 114 feet how many of each animal are there

solniwko [45]

Answer:

There are 25 geese and 16 goats

Step-by-step explanation:

Let O represent the # of goats and E the # of geese. Remembering that goats have four feet and geese only two, and that each animal has only one head, we can write the following equations to determine O and E:

Number of heads: 41; this is the total of the # of goat heads and the # of goose heads: O + E = 41

(4 feet per goat)O + (2 feet per goose)E = 114 (There are a total of 114 feet)

Then we solve the following system of linear equations:

O + E = 41

4O + 2E = 114

Multiplying the first equation by -2 results in -2O - 2E = -82.

Combining this result with the second equation, we obtain the system

4O + 2E = 114

-2O - 2E = -82

-------------------------------

2O = 32

Then O = # of goats = 32/2, or 16, and so the equation O + E = 41 becomes

E = # of geese = 41 - O (remembering that we found O to be 16), or

E = 41 - 16 = 25

There are 25 geese and 16 goats.

6 0

3 years ago

I’m confused wit this worksheet

m_a_m_a [10]

Okay so you see those dots located in the fist question right? locate the coordinates ( 1, 2)

Now that you have located them, look at what the question asks

"move 3 units left and 7 units up" and what you do is move vertices ( 1,2) (aka the dot) 3 units left and move it up 7 times.

And now your new location for (1,2) should be (-2,5) because you moved the (1,2) dot 3 units to the left and 7 units up.

( now do the same for the rest of the other dots)

8 0

3 years ago

Select the correct answer from each drop-down menu.

Sav [38]

Answer:

first blank would be 5,-2 and the second blank would be 58/9,-4

3 0

3 years ago

Solve and write the division equation: 4.7 = r/5

Paraphin [41]

Answer: I think it’s 4.7= r divided by 5

Step-by-step explanation: I got nothing

Idk how to solve it

5 0

3 years ago