MATHEMATICS HIGH SCHOOL

PLEasEE help me...i need
an equation with the solution of x=5.
a equation with the solution of 3/2 (1.5)
an equation with the solution of -2
thank you

Answers

Answer 1

Answer:

Answer:

3x + 3 = x + 13

y=1.5x−6.5,

Step-by-step explanation:

substitute the number in for the first two

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A triangle has vertices on a coordinate grid at A(-8, -10), B(9, -10), andC(9,-3). What is the length, in units, of AB?
How many different arrangements can be made with the letters in the word POWER?100 20 120 25
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The magnitude, M, of an earthquake is defined to be M=log I/S, where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a “standard” earthquake, which is barely detectable. What is the magnitude of an earthquake that is 35 times more intense than a standard earthquake? Use a calculator. Round your answer to the nearest tenth.–1.5? –0.5? 1.5? 3.6?

The difference of 17 and five times a number.

Answers

That is impossible to know, it can be any number. We need one more fact.

A square garden has a diagonal of 34 ft. Colton wants to put a fence around the entire garden.How much fencing will he need? Round to the nearest foot.

Answers

Answer:

96 feet

Step-by-step explanation:

Given : A square garden has a diagonal of 34 ft. Colton wants to put a fence around the entire garden.

To Find: How much fencing will he need? Round to the nearest foot.

Solution:

Formula of diagonal of square = $√(2)a$

Where a is the side of the square.

Since we are given the diagonal length of square garden = 34 ft.

So, $34=√(2)a$

$(34)/(√(2))=a$

$24.04=a$

Thus the side of the square garden is 24.04 ft.

Now we are supposed to find how much fencing is required

So, we are supposed to find the perimeter of square.

Perimeter of square = $4 * side$

= $4 * 24.04$

= $96.16$

Thus he need 96.16 ≈ 96 feet fencing .

Find the slope of the line graphed below.

Answers

Answer:

The answer to your question is $m = - (4)/(7)$

Step-by-step explanation:

Process

1.- Find two points of the line (red points)

A ( 4, -5) and B (- 3 , -1)

2.- Find the slope using the formula

$m = (y2 - y1)/(x2 - x1)$

Substitution

$m = (-1 + 5)/(-3 - 4)$

$m = - (4)/(7)$

Solve 2cos2x + cosx − 1 = 0 for x over the interval [0, 2pi ).

Answers

The solution of 2cos2x + cosx − 1 = 0 is $x=\pi.$

What is a Trigonometric equation?

A Trigonometric equation is an equation involving one or more trigonometric ratios of unknown angles.

How to solve?

2cos2x + cosx − 1 = 0

$-3+\cos \left(x\right)+4\cos ^2\left(x\right)=0$

$\cos \left(x\right)=(3)/(4),\:\cos \left(x\right)=-1$

And now,

$x=\pi +2\pi n$

Which is only $x=\pi$ .

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AB+C=50
BC+A=41
What is A, B, C

Answers

For the given system of equations, when B = 2, the values are A = 133 and C = -216. Values will vary with different choices of B.

To solve for the values of A, B, and C in the system of equations:

AB + C = 50

BC + A = 41

We can use a systematic approach. Let's first isolate one variable in one equation and then substitute it into the other equation.

From the first equation (AB + C = 50), we can isolate C:

C = 50 - AB

Now, substitute this expression for C into the second equation:

B(50 - AB) + A = 41

Expand and simplify:

50B - $AB^2$ + A = 41

Rearrange terms:

$AB^2$ - 50B + A = 41

Now, let's consider this as a quadratic equation in terms of A and solve for A:

A = 41 - $AB^2$ + 50B

Now that we have expressions for A and C in terms of B, we can choose a value for B, and then calculate the corresponding values of A and C. For instance, let's say B = 2:

A = 41 - (2)( $2^2$ ) + 50(2) = 41 - 8 + 100 = 133

C = 50 - (2)(133) = 50 - 266 = -216

So, for B = 2, we have A = 133 and C = -216. You can similarly calculate values for different values of B.

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Complete question below:

What are the values of A, B, and C in the system of equations:

AB + C = 50

BC + A = 41?

A=4
B=3
C=7

43+7=50
37+4=41

A regular hexagon has perimeter 60 in. What is the hexagon's area?

Answers

P = 60 in
P = 6 a
6 a = 60
a = 60 : 6
a = 10 in
The area :
A = 6 · a² √3 / 4
A = 6 · 10² √3 / 4 = 600√3 / 4 = 150 √ 3 in²
Answer:
The hexagon`s area is 150√3 in².