Solve: 2x2-x = 21 {-7/2,3} {-3, 7/2}​

Answer:

x = 1 and x = -3

Step-by-step explanation:

We need to solve the given equation.

[tex]3+x=x^2+3x[/tex]

Taking all terms together,

[tex]x^2+3x-3-x=0\\\\x^2+2x-3=0\\\\x^2+3x-x-3=0\\\\x(x+3)-1(x+3)=0\\\\(x-1)(x+3)=0\\\\x=1\ and\ x=-3[/tex]

So, the solution of the above equation is x = 1 and x = -3.

Answer:

[tex]4=(x+1)^{2}[/tex]

x= -1 ±2

Khan Academy

Answer:

angle a + angle b has to equal 180

Step-by-step explanation:

180-120=60

Answer:

Vertices are basically the point where 2 sides meet. In this shape the vertices are:

A, B and C

The sides are;

AB. BC, and CA

The angles are all 60°, this is because it is an equilateral triangle (all the sides seems to be equal)

Answer:

6 a - 13 b - 21 c - 13 d - 29 e -29 f - 122

y=15 and x=3

Step-by-step explanation:

Answer: The number is 192

Step-by-step explanation:

The value of tan∠A form the right angled triangle ABC is 1.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Given that △ABC be a right triangle with m∠C = 90°. Also, tan∠B = 1. Hence:

tan∠A = (tan∠B)⁻¹ = 1

The value of tan∠A form the right angled triangle ABC is 1.

Find out more on Trigonometric ratio at: https://brainly.com/question/4326804

Answer:

1) B. $9000

2) A. (4,5)

Step-by-step explanation:

Answer:

8,640

Step-by-step explanation:

One foot is 12 inches, so a square foot would be 144 inches (12×12 -> l×w) So, you would multiply 60 by 144, and you would get 8,640 square inches.

90°, 45°

Step-by-step explanation:

Two angles that can be trisected with a straightedge and compass are 90° and 45° angles

B.Time is a function of distance. is the answer ot the question

A group of students is timed while sprinting 100 meters. Each student’s speed can be found by dividing 100 m by their time. Is each statement true or false?

Speed is a function of time.

Time is a function of distance.

Speed is a function of number of students racing.

Time is a function of speed.

Answer:

D, 180.

Step-by-step explanation:

2400 divided by 200 is 12, which means 2400 is 12 times 200

Next, times 15 by 12 which is 180.

Answer:

What is the magnitude and direction of the PQ−→− with tail and head points P(-6, 0) and Q(2, 4)? magnitude = √(64+16) = √80 = appr 8.9 , ruling out c.

hope this helps

The magnitude of PQ is 8.9 and PQ is making an angle of 26.57° so 8.9 units, 26.6° north of east will be the correct answer.

A vector is a quantity in which direction and magnitude both matters called a vector.

A vector joining by two points (x₁,y₁) and (x₂,y₂) will be (x₂-x₁)[tex]\hat{i}[/tex] + (y₂-y₁)[tex]\hat{j}[/tex]

The magnitude of this vector will be  

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]  

The direction of this vector will be  

[tex]\\tan^{-1}(\frac{y_2-y_1}{x_2-x_1)}[/tex]

Given P(-6,0) and Q(2,4) so vector joining by

[tex]\vec{PQ}[/tex] = [2-(-6)][tex]\vec{i}[/tex]  + [4-0][tex]\vec{j}[/tex]

[tex]\vec{PQ}[/tex] =  8[tex]\vec{i}[/tex] + 4[tex]\vec{j}[/tex]

now, the magnitude  [tex]\vec{PQ}[/tex] will be

⇒  [tex]\sqrt{(8^2+4^2)}[/tex]

⇒ 8.944

The direction of the vector [tex]\vec{PQ}[/tex] will be

⇒  [tex]\tan^{-1}(\frac{4}{8})[/tex]

⇒26.57°

So, the magnitude of PQ is around 8.944 and the direction is 26.57° from the positive x axis so it's north of the east.

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Answer:

A combined mean is simply a weighted mean, where the weights are the size of each group. For more than two groups: Add the means of each group—each weighted by the number of individuals or data points, Divide the sum from Step 1 by the sum total of all individuals (or data points).

Answer: A combined mean is simply a weighted mean, where the weights are the size of each group. For more than two groups: Add the means of each group—each weighted by the number of individuals or data points, Divide the sum from Step 1 by the sum total of all individuals (or data points).

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Because the gravity of the earth

Answer:

d

Step-by-step explanation:

but i think none of the sentences is true

one is (5) because Domain is left to right

and number two is (4) because range is up and down

Answer:

It is a linear.

Step-by-step explanation:

Because after factor the function you will get f(x)= 5x, and the linear function is y=ax.

Answer:

B and D

Step-by-step explanation:

Sorry for the late awnser

Answer:

B, D, E are the correct answers! See screenshot below!

Step-by-step explanation:

USA Test Prep screenshot below

9514 1404 393

Answer:

  No

Step-by-step explanation:

If the relationship were proportional, the ratio of y to x would be a constant.

  y/x = 3/1 ≠ 7/3

x and y are not proportional.

Answer:

[tex]it \: is \: \: \: \: {x}^{2} + 7x[/tex]

Step-by-step explanation:

I hope this is be useful for you ^_^

Expand x(x+7)

▶️x(x+7)

▶️x² + 7

▶️7x²

▶️7x²

Answer:

[tex]x = - 3[/tex]

[tex]y = - 2[/tex]

Step-by-step explanation:

Since y=x+1 plug it into bottom equation as y.

[tex]x + 1= 5x + 13[/tex]

Subtract 1 from both sides

[tex]x = 5x + 12[/tex]

Subtract 5x from both sides

[tex] - 4x = 12[/tex]

Divide both sides by -4

[tex]x = - 3[/tex]

Now x=-3 into the top equation to find y

[tex] - 3 + 1 = - 2[/tex]

y=-2

Answer:

m<T = 20°

Step-by-step explanation:

m<R = 140°

m<S = 100°

The figure given is a kite. The angles formed where two unequal sides meet are always congruent to each other. This means:

m<S = m<U = 100°

Sum of all interior angles of a quadrilateral = 360°

Therefore:

m<T = 360° - (m<S + m<U + m<R)

m<T = 360° - (100° + 100° + 140°) (substitution)

m<T = 20°

Answer:

Circumference: 12pi or 37.7

Area: 36pi or 113.1

Step-by-step explanation:

C = 2(pi)r

C = 2 * pi * 6

C = 12pi or 37.7

A = (pi)r^2

A = pi * 6^2

A = 36pi or 113.1

Answer:

2

Step-by-step explanation:

Degree is the highest power of a term

I hope im right!

Answer:

2

Step-by-step explanation:

hello :

the degree of x2 - 17x + 2x - 5.00 is : 2

Answer:

you forgot the attachment

Step-by-step explanation:

...

Answer:

C. y= 6x-5

Step-by-step explanation:

Given Information :

Slope (m) = 6

y-intercept (b) = -5

Equation of a line :

y=mx+b

Where :

m = slope

b = y-intercept

So , with the given the information , the equation is :

[tex]y = 6x - 5[/tex]

The additive inverse is the opposite sign quantity so the sum of 4 and its additive inverse will be 0.

A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation.

Given the number 4.

The sign of the number 4 is positive.

An additive inverse is a number whose sign is opposite to the number.

For example, the additive inverse of -5 is 5, and 5 is -5.

So additive inverse of 4 will be -4.

Now sum of 4 and -4

4 + (-4) = 0

Hence "The additive inverse is the opposite sign quantity so the sum of 4 and its additive inverse will be 0".

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65* It is drawn with a round ruller...