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azamat
2 years ago
13

Find the perimeter of a rectangle with length 7x - 2 and width 5x^2 + 1.

Mathematics
1 answer:
stealth61 [152]2 years ago
4 0

Answer:

10x^2 + 14x - 2

Step-by-step explanation:

So for the perimeter, you have to solve 2(7x-2) + 2(5x^2+1)

So distribute the 2s on both s we get 14x - 4 + 10x^2 + 2

This in standard form is 10x^2 + 14x - 2

You might be interested in
There exist two complex numbers $c$, say $c_1$ and $c_2$, so that $3 + 2i$, $6 + i$, and $c$ form the vertices of an equilateral
leva [86]

Answer:

The answer is "\sqrt{12.5}"

Step-by-step explanation:

\to (3,2),  \ (6,1)

Distance=\sqrt{9+1}=\sqrt{10}

midpoint height =\sqrt{10+2.5}=\sqrt{12.5}

let

Gradient = \frac{1}{-3}      

Perpendicular Gradient= 3

midpoints = (4.5, 1.5)

Similar to perpendicular

Now I'll obtain the perpendicular bisector solution

An equation of the center circle(4.5,1.5) radius will be\sqrt{12.5}.

5 0
3 years ago
X^4-28x^2=0 solve algebraically
Paha777 [63]
x^4 - 28x^2  = 0

x^2(x^2 - 28) = 0

x^2 = 0 \ \ or \ \ (x^2 - 28) = 0

x = 0 \ \ or \ \ x^2 = 28

x = 0 \ \ or \ \ x = \pm \sqrt{28}

x = 0 \ \ or \ \ x = \pm2 \sqrt{7}

---------------------------------------------------
Answer : x = 0 or 2√7 or -2√7
---------------------------------------------------
8 0
3 years ago
Consider the following. (Assume that the coins are distinguishable and that what is observed are the faces or numbers that face
Nataliya [291]

Answer:

a)  P(

b)  n=(HHH, HHT, HTH, HTT, THH, THT, TTH, TTT).

Step-by-step explanation:

From the question we are told that:

3 coin are tossed

Therefore

Sample space n=(HHH, HHT, HTH, HTT, THH, THT, TTH, TTT).

Generally the sets that correspond with the result of at most one tail is therefore given as follows

P(

Therefore

The result is at most one tail when

P(

7 0
2 years ago
The angle of elevation to a nearby tree from a point on the ground is measured to be 61 ∘ ∘ . How tall is the tree if the point
marishachu [46]

Answer:

106.44 ft

Step-by-step explanation:

tan = opp/adj

tan61 = opp/59

59*tan61 = opp

opp = 106.438817561014012

Rounded

106.44 ft

5 0
3 years ago
QUESTION 1 The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards.Assume that the driving
GarryVolchara [31]

Answer:

P(X>300)

And we can find this probability with the complement rule:

P(X>300)= 1-P(X

Step-by-step explanation:

For this case we define the random variable X ="driving distance for the top 100 golfers on the PGA tour" and we know that:

X \sim Unif (a=284.7, b=310.6)

And for this case the probability density function is given by:

f(x) =\frac{1}{310.6 -284.7} =0.0386 , 284.7 \leq X \leq 310.6

And the cumulative distribution function is given by:

F(x) =\frac{x-284.7}{310.6-284.7} , 284.7 \leq X \leq 310.6

And we want to find this probability:

P(X>300)

And we can find this probability with the complement rule:

P(X>300)= 1-P(X

6 0
3 years ago
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