# The square and the triangle have equal perimeters. (There is a picture of a square with one side shown as x-5 and there is a picture of a triangle with one side shown as 12 and the other two sides as x) A. Find the value of x B. Find the perimeter

QUESTION POSTED AT 05/12/2019 - 09:20 AM

A.
4(x-5) = 12 + x + x
4x - 20 = 12 + 2x
4x - 2x = 12 + 20
2x = 32
x = 16

B.
square's p = 4(x-5) = 4(16-5) = 4(11) = 44

triangle's p = 12+2x = 12+2(16) = 12+32 = 44

square's p = triangle's p ( correct )

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EFG is the same as angle KLM. therefore, it is the reflection of the angle KLM

ANSWERED AT 20/01/2020 - 01:32 PM

QUESTION POSTED AT 20/01/2020 - 01:32 PM

### Find cos(sin-1(3/5))

Sin-1 (3/5) = 36.869
cos 3/5 = 0.999

ANSWERED AT 20/01/2020 - 01:30 PM

QUESTION POSTED AT 20/01/2020 - 01:30 PM

### Which function below has the smallest slope? A Graph with a line going through -5 on the Y Axis and Postive 2 and a half on the X axis. f(x) f(x) = 2x - 3 h(x) x h(x) -1 3 1 7 3 11

For the first line:
m = (-5 - 0) / (0 - 2.5) = 2

For the second line:
From the given equation,
m = 2

For the third, using the given coordinates (-1,3) (1,7)
m = (7 - 3) / (1 - (-1)) = 2

Therefore, all the slopes of the lines are 2 and none of them have the smallest slope compared to the others.

ANSWERED AT 20/01/2020 - 01:28 PM

QUESTION POSTED AT 20/01/2020 - 01:28 PM

### Find the exact value of sec(5pi/ 3) and and sin(7pi/6)

I know the equation is 1/cos
but is it negative sqrt(3)/2 or positive?
or is it negative 1/2 or positive?
This makes the reference angle π/6 or 30º which gives cos 30º=√3/2 or a sec value of 2/√3=2√3/3
sec(-5pi/6)=-2√3/3

ANSWERED AT 20/01/2020 - 01:27 PM

QUESTION POSTED AT 20/01/2020 - 01:27 PM

### If the value of sinx=0.42, what is cos x?

From the relation of
sin(x)^2 + cos(x)^2 = 1
(0.42)^2 + cos(x)^2 = 1
cos(x)^2 = 1 - (0.42)^2
cos(x) = √(1-(0.42)^2)
cos(x) = 0.9075

ANSWERED AT 20/01/2020 - 01:26 PM

QUESTION POSTED AT 20/01/2020 - 01:26 PM

### Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively.

Hello,

a(2)=-6
a(3)=-6*r
a(4)=-6*r²
a(5)=-6*r^3=162
a(5)/a(2)=r^3=162/(-6)=-27==>r=-3

a(1)=-6/(-3)=2
a(2)=2*(-3)
a(3)=2*(-3)²
a(4)=2*(-3)^3
a(5)=2*(-3)^4

a(n)=2*(-3)^(n-1)

ANSWERED AT 20/01/2020 - 01:24 PM

QUESTION POSTED AT 20/01/2020 - 01:24 PM

### Find an integer, x, such that 5, 10, and x represent the lengths of the sides of an obtuse triangle. A. 4 B. 5 C. 6 D. 11

Hello,

5<10+x ==> -5<x realized
10<5+x ==> x>5
x<5+10 ==> x<15
==> 5<x<15
==>x=6 or x=11 but for x=11 angle none obtus
==> 1solution x=6 (angle = 130.5416...°)

ANSWERED AT 20/01/2020 - 01:23 PM

QUESTION POSTED AT 20/01/2020 - 01:23 PM

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Option B is correct that is the expression is equivalent, but it is not completely  factored.

Step-by-step explanation:

We have given an expression when we take the common factor out which is 3 from the expression we will get This expression is equivalent but is not completely factored because the term Hence, Option B is correct.

Option C and D are discarded because given factor is equivalent

Option A is discarded  because expression is not completely factored.

ANSWERED AT 20/01/2020 - 01:22 PM

QUESTION POSTED AT 20/01/2020 - 01:22 PM

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As the function is quadratic, it must be positive or equal 0.
Therefore B and D are possible values.

ANSWERED AT 20/01/2020 - 01:22 PM

QUESTION POSTED AT 20/01/2020 - 01:22 PM

### 4x^2-x-3=0 solve by completing the square x= ??

Hello,

4x²-x-3=0
==>(2x)²-2*1/2*x+1/4-3-1/4=0
==>(2x-1/2)²-13/4=0
==>(4x-1)²-13=0
==>(4x-1-√13)(4x-1+√13)=0
==> x=(1+√13)/4 or x=(1-√13)/4

ANSWERED AT 20/01/2020 - 01:22 PM

QUESTION POSTED AT 20/01/2020 - 01:22 PM

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Hello,

f(-3)=(-3)²-3*(-3)-7=9+9-7=11

ANSWERED AT 20/01/2020 - 01:21 PM

QUESTION POSTED AT 20/01/2020 - 01:21 PM

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Axis of symmetry is a line passing through the vertex which divides the curge into two parts such tha each part looks the same.
For , the 'x' part is squared and the coefficient of is positive. Hence, the curve will be a parabola facing up which means that the axis of symmetry will be a vertical line. i.e. x = m.
Investigating, f(-1) = f(-1.5) = f(-2) = From these, the curve has a vertex at point (-1.5, -6)
Therefore the axis of symmetry is line x = -1.5 (i.e. the third option)

ANSWERED AT 20/01/2020 - 01:21 PM

QUESTION POSTED AT 20/01/2020 - 01:21 PM

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Hello,

Be carefull

A: is (gof)(x)=g(f(x))=g(x^8)=6x^8-14

C: fog(x)=f((g(x))=f(6x-14)=(6x-14)^8

ANSWERED AT 20/01/2020 - 01:19 PM

QUESTION POSTED AT 20/01/2020 - 01:19 PM

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Hello,

Both curves passes by the vertex

ANSWERED AT 20/01/2020 - 01:18 PM

QUESTION POSTED AT 20/01/2020 - 01:18 PM

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Standard form for first one is
ax+by=c

6y-12=-3x
3x+6y-12=0
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second one
distribute (don't forget double negative y)
10-2x+2y=3x+1
minus 3x both sides
10-5x+2y=1
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the equations are
3x+6y=12
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ANSWERED AT 20/01/2020 - 01:17 PM

QUESTION POSTED AT 20/01/2020 - 01:17 PM

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Step-by-step explanation: this answer is for edge.nuity

ANSWERED AT 20/01/2020 - 01:16 PM

QUESTION POSTED AT 20/01/2020 - 01:16 PM

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Step-by-step explanation:

A researcher finds 15% of all commuters in a metropolitan area take the train to work.

The researcher polls 250 people in the area to ask them whether they take the train to work or not.

We have tell the number of trials for this binomial experiment.

Researcher will do 250 trials to confirm whether they take the train work and this irrespective of their response.

ANSWERED AT 20/01/2020 - 01:16 PM

QUESTION POSTED AT 20/01/2020 - 01:16 PM

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Hello,

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ANSWERED AT 20/01/2020 - 01:15 PM

QUESTION POSTED AT 20/01/2020 - 01:15 PM

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ANSWERED AT 20/01/2020 - 01:14 PM

QUESTION POSTED AT 20/01/2020 - 01:14 PM

### Find the value of cos(sin-1(3/5)) ANSWERED AT 20/01/2020 - 01:14 PM

QUESTION POSTED AT 20/01/2020 - 01:14 PM

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Since distance is a function of time, then the range must be the possible time that Heather could spend with her mountain bike.

Given that she can travel for period 32 minutes and that there can be no negative time. The answer is:
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ANSWERED AT 20/01/2020 - 01:14 PM

QUESTION POSTED AT 20/01/2020 - 01:14 PM

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ANSWERED AT 20/01/2020 - 01:13 PM

QUESTION POSTED AT 20/01/2020 - 01:13 PM

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1. The reason for statement 2 is
Distributive Property

2. The reason for statement 2 is
Commutative Property

3. The reason for statement 3 is
Associative Property

4. The reason for statement 5 is
Commutative Property

5. The reason for statement 1 is
Associative Property
The reason for statement 3 is

ANSWERED AT 20/01/2020 - 01:12 PM

QUESTION POSTED AT 20/01/2020 - 01:12 PM

### Solve the quadratic equation by completing the square. x2 + 6x + 7 = 0

Hello,

x²+2*3x+3²+7-9=0
==>(x+3)²-2=0
==>(x+3-√2)(x+3+√2)=0
==> x=-3+√2 or x=-3-√2

ANSWERED AT 20/01/2020 - 01:12 PM

QUESTION POSTED AT 20/01/2020 - 01:12 PM

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If the range of the numbers in the list L is 4, then x can't be 4 since there is an element in the list that is x^2. Therefore,
0 ≤ x^2 ≤ 4 so that it would be the highest number and
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ANSWERED AT 20/01/2020 - 01:11 PM

QUESTION POSTED AT 20/01/2020 - 01:11 PM

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Answer:  The correct option is (B) negative square root 21 over 5.

Step-by-step explanation:  Given that for an angle , We are to find the value of We know that

So, the given angle lies in the Quadrant III.

We will be using the following trigonometric identity: We have Since the angle lies in Quadrant III and sine is negative in that quadrant, so Thus, option (B) is correct.

ANSWERED AT 20/01/2020 - 01:11 PM

QUESTION POSTED AT 20/01/2020 - 01:11 PM

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ANSWERED AT 20/01/2020 - 01:11 PM

QUESTION POSTED AT 20/01/2020 - 01:11 PM

### Transversal t cuts parallel lines a and b as shown in the diagram. Which equation is necessarily true? a) m<1=m<2 b)m<4=m<6 c) m<3+m<5=90 degrees d)m<7=m<8

If the numbering of the angles is similar to this:
1 | 2
-----
3 | 4
5 | 6
----
7 | 8

Then none of the the choices are necessarily true.

The equations would have been:
1 = 4 = 5 = 8
2 = 3 = 6 = 7
3 + 5 = 4 + 6 = 180

ANSWERED AT 20/01/2020 - 01:11 PM

QUESTION POSTED AT 20/01/2020 - 01:11 PM

### Using the defects method, which of these relationships represents the Law of Cosines if the measure of the included angle between the sides a and b of ∆ABC is more than 90°? A. area of square c2 = -area of square a2 – area of square b2 + area of defect1 + area of defect2 B. area of square c2 = area of square a2 + area of square b2 + area of defect1 – area of defect2 C. area of square c2 = area of square a2 + area of square b2 – area of defect1 – area of defect2 D. area of square c

PLATO: The answer is D area of square c2 = area of square a2 + area of squareb2 + area of defect1+ area of defect2

ANSWERED AT 20/01/2020 - 01:09 PM

QUESTION POSTED AT 20/01/2020 - 01:09 PM

### Given right triangle SIP such that i = 54 and s = 19, which of the following statements are true? Round to the nearest hundredth.

(D)   p = 50.55 (Round to the nearest hundredth).

Step-by-step explanation:

Given: Right triangle SIP such that i = 54 and s = 19.

To find: Which of the following statements are true,  round to the nearest hundredth.

Solution: We have given that Right triangle SIP , i = 54 and s = 19.

By the Pythagoras theorem (IP)²+(SI)² = (SP)².

Plugging the values

(19)²+(p)² = (54)².

361+(p)² =2916

On subtracting both side by 361.

(p)²+ 361 - 361 =2916 -361

(p)² = 2555

Taking square root both sides .

√(p)² = .

p = 50.547

p = 50.55 (Round to the nearest hundredth).

Therefore,   (D)   p = 50.55 (Round to the nearest hundredth).

ANSWERED AT 20/01/2020 - 01:09 PM

QUESTION POSTED AT 20/01/2020 - 01:09 PM