1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Fed [463]
3 years ago
9

17) The measures of two sides of a triangle are (2x + 3y) and (5x – 2y). If the perimeter

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
4 0

Answer:

  5x +4y

Step-by-step explanation:

The perimeter of a triangle is the sum of side lengths. That fact can be used to find z, the length of the third side.

  (2x +3y) +(5x -2y) +z = 12x +5y . . . . sum of sides is perimeter

  z = (12x +5y) -(7x +y) . . . . . . . . . . . . subtract (7x+y) from both sides

  z = 5x +4y . . . . . . . . . collect terms; the length of the third side

The third side of the triangle is (5x +4y).

You might be interested in
How does the graph of f(x) = (x − 1)2 relate to the basic function f(x) = x2?
Nadya [2.5K]

Answer:

Both functions are multiplied by 2.

Step-by-step explanation:

6 0
3 years ago
xP(x)00.2510.0520.1530.55Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal pl
Nookie1986 [14]

The Solution:

Given:

Required:

Find the standard deviation of the probability distribution.

Step 1:

Find the expected value of the probability distribution.

E(x)=\mu=\sum_{i\mathop{=}0}^3x_iP_(x_i)\begin{gathered} \mu=(0\times0.25)+(1\times0.05)+(2\times0.15)+(3\times0.55) \\  \\ \mu=0+0.05+0.30+1.65=2.0 \end{gathered}

Step 2:

Find the standard deviation.

Standard\text{ Deviation}=\sqrt{\sum_{i\mathop{=}0}^3(x_i-\mu)^2P_(x_i)}=(0-2)^2(0.25)+(1-2)^2(0.05)+(2-2)^2(0.15)+(3-2)^2(0.55)=4(0.25)+1(0.05)+0(0.15)+1(0.55)=1+0.05+0+0.55=1.60

Thus, the standard deviation is 1.60

Answer:

1.60

8 0
1 year ago
Please answer with explanation
nalin [4]

Answer:

(a)- 2 [ ( - \frac { 1 } { 4 } ) - 12 ( - 1 ) ^ { 2 } ] - 5 [ 24 + 2 ( - 12 ) ] ^ { 2 }−2[(−

4

1

)−12(−1)

2

]−5[24+2(−12)]

2

Do the arithmetic.

Calculate -1−1 to the power of 22 and get 11.

-2\left(-\frac{1}{4}-12\right)-5\left(24+2\left(-12\right)\right)^{2}−2(−

4

1

−12)−5(24+2(−12))

2

Subtract one term from another.

Subtract 1212 from -\frac{1}{4}−

4

1

to get -\frac{49}{4}−

4

49

.

-2\left(-\frac{49}{4}\right)-5\left(24+2\left(-12\right)\right)^{2}−2(−

4

49

)−5(24+2(−12))

2

Multiply two factors together.

Multiply -2−2 and -\frac{49}{4}−

4

49

to get \frac{49}{2}

2

49

.

\frac{49}{2}-5\left(24+2\left(-12\right)\right)^{2}

2

49

−5(24+2(−12))

2

Multiply two factors together.

Multiply 22 and -12−12 to get -24−24.

\frac{49}{2}-5\left(24-24\right)^{2}

2

49

−5(24−24)

2

Subtract one term from another.

Subtract 2424 from 2424 to get 00.

\frac{49}{2}-5\times 0^{2}

2

49

−5×0

2

Multiply two factors together.

Multiply 55 and 00 to get 00.

\frac{49}{2}-0

2

49

−0

Add two terms together.

Subtract 00 from \frac{49}{2}

2

49

to get \frac{49}{2}

2

49

.

\frac{49}{2}

2

49

2

49

=24.5

(b)−a

2

b

2

−3a

3

b

2

a=−

3

1

b=−1

Step-by-step explanation:

Hope it helps u

FOLLOW MY ACCOUNT PLS PLS

3 0
3 years ago
2m<br>5m<br>(i) Value of n is?<br>(a) 21/7<br>(b) 22.7<br>(C) 22/7<br>(d) 7/22<br>10m​
Crazy boy [7]

Step-by-step explanation:

the same at the meeting tonight at the church and the same to think of you too pAh un hombre question about my order and peel and peel and peel off face mask with a few things I need at un maha mo pah Wala pa rin galing un pinambayad pah ah I see everyone and peel off mask for sale in the way it is now a few things I love you too pAh un hombre question about the same time I don't care eeeeeeeeeeeeee I love you too pAh un

5 0
3 years ago
Find the area of the isosceles triangle formed by points of intersection of the parabolas y=-x2+9 and y=2x2+3 and the origin.
adelina 88 [10]

Answer:

10

Step-by-step explanation:

*I’m assuming that you meant y = 2x^2-3 because that is what my RSM problem was and it was exactly the same problem other than that.* First you want to find the points of intersection of the two parabolas. You can choose to graph them or do any other method. Anyways, the points of intersection are: (2,5) and (-2,5). You now want to add (0,0). So obviously (2,5) to (-2,5) is the base and it is 4 units. The height is 0 to 5 which is 5 units. Do (4*5)/2 and you get 10. Hope this helped you with your RSM and let me know if I assumed correctly.

8 0
3 years ago
Other questions:
  • Suppose R = {1, 3, 5, 7, 9, 11, 13, 15, 17} and D = {3, 6, 9, 12, 15, 18, 21, 24, 27}. What is R ∩ D? (
    15·1 answer
  • Please answer this correctly
    11·1 answer
  • N/2-3n/4+5n/6=21 please tell the answer​
    9·2 answers
  • What is the factorization of the polynomial below?
    8·2 answers
  • 2.
    12·1 answer
  • List all the steps to solve 27x = 148.5
    6·1 answer
  • Mrs. Magee is purchasing 2.8 pounds of asparagus that costs $2.55 per pound. How much change will Mrs. Magee receive if she give
    13·1 answer
  • Factor 60y-90-20x to identify the equivalent expressions. Choose two answers.
    13·1 answer
  • Evaluate the following expression. Round to the nearest hundredth when necessary.<br> 27
    7·1 answer
  • The distance represented by x is____feet. <br> (brainliest)
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!