Solve the system of equations by substitution.
X + y = 21
y = 6x

Answer:

The equation of a parallel to the given line that goes through the given point (2, 4) is:

[tex]y=8x-12[/tex]

Step-by-step explanation:

Given the equation

[tex]y=8x+3[/tex]

comparing the equation with the slope-intercept form

[tex]y=mx+b[/tex]

Here,

so the slope of the line is m = 8.

We know that the slopes of parallel lines are equal.

so, the slope of the perpendicular line will be = 8

Therefore, the equation of a parallel to the given line that goes through the given point (2, 4) is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-4 = 8 (x-2)[/tex]

[tex]y-4 = 8x-16[/tex]

[tex]y = 8x-16+4[/tex]

[tex]y=8x-12[/tex]

Answer: (x-3)(x-1)(x+5)

Step-by-step explanation: Factor this polynomial, to do that you use the rational roots theorem.

Answer: (x-1)(x-3)(x+5)

Step-by-step explanation:

Use the rational root theorem

Constant term = 15, Coefficient of leading term = 1

Factors of 15: 1, 3 , 5, 15

Factors of 1: 1

Therefore, (x-1) is a factor

[tex]\begin{array}{l}=\frac{\left(x-1\right)\frac{x^3+x^2-17x+15}{x-1}}{x-3}\\\\=\frac{\left(x-1\right)\left(x^2+2x-15\right)}{\left(x-3\right)}\\\\=\frac{\left(x-1\right)\left(x-3\right)\left(x+5\right)}{x-3}\\\\=\left(x-1\right)\left(x+5\right)\end{array}[/tex]

Cubic equations must have 3 factors to get to the third degree, therefore (x-1)(x-3)(x+5)

Answer:

the answer is 6.7

Step-by-step explanation:

you have to divide 5.00 by 0.75 to get the answer

Answer:

C 7

Step-by-step explanation:

You divide 5.00 by 0.75 to get you answer of how many session

Answer:

Wrong. If the line segment AB= 10, then the measure of AC= 10 as well. It's a right triangle. All the sides are the same.

Step-by-step explanation:

Answer: Not correct.  The tic marks on the angles mean that this is an equilateral triangle  

All the line segments are equal. If a length is given for one side of the triangle, the others are the same

All the angles are equal. The total of all the angles is 180. to find any one of them divide 180 ÷ 3

Step-by-step explanation:  This looks like a test item, so we are not supposed post answers.

So I hope this is enough to help you make the corrections yourself.

Answer: 18

Step-by-step explanation:

X-1=2

X=3

2(3)^2

2(9)

18

Value of an algebraic expression depends on the values of its variables usually. The value of [tex]2x^2[/tex] for given condition is obtained to be 18

You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

For the given case, we are given that [tex]x - 1 =2[/tex]

By this, we can get the value of the variable 'x' as:

[tex]x - 1 = 2\\\text{Adding 1 on both the sides, we get}\\x = 3[/tex]

Now, putting 3, in place of x, in expression [tex]2x^2[/tex], we get:

[tex]2x^2 = 2 \times (3^2) = 2 \times 9 = 18\\[/tex]

( sign of multiplication is often hidden if there are non numeric symbols and numbers being multiplied are written together, thus, [tex]2x^2 = 2 \times x^2[/tex])

Thus, the value of [tex]2x^2[/tex] for given condition is obtained to be 18

Learn more about evaluating expressions here:

https://brainly.com/question/2753269

Answer:

g=41

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(g−7)=2(10+g)

(3)(g)+(3)(−7)=(2)(10)+(2)(g)(Distribute)

3g+−21=20+2g

3g−21=2g+20

Step 2: Subtract 2g from both sides.

3g−21−2g=2g+20−2g

g−21=20

Step 3: Add 21 to both sides.

g−21+21=20+21

41

Step-by-step explanation:

3(g-7)=2(10+g)

3g-21=20+2g

3g-2g=20+21

g=41

Answer:

It would not be a positive 5 but a -5 as your answer.

Step-by-step explanation:

45-5=40 and so forth

divide 9.75 by 15 equals sixty ixty five cent's

Answer:

On what

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

40/50

Answer:

You can tell if a relation is a function if each input value only has ONE output value. Examples below

Step-by-step explanation:

Answer:

-10/f-6f

Step-by-step explanation:

simplify it the equation

Answer:

easy the answer is d)y=2

Step-by-step explanation:

why because

3y−4=6−2y

Add 2y to both sides.

3y−4+2y=−2y+6+2y

5y−4=6

Add 4 to both sides.

5y−4+4=6+4

5y=10

Divide both sides by 5.

5y/5 = 10/5

y=2

Answer:

2 2/3

Step-by-step explanation:

Answer:

-7 1/3

Step-by-step explanation:

I already learned how to do that

Answer:

4,400

Step-by-step explanation:

Hope this helps!

x=11

the angles are congruent so 6x-10=56

6x=66

x=11

Answer:

3(2+5)

Step-by-step explanation:

The common number that both 6 and 15 can be divided by is 3

3x2=6 and 3x5=15

Answer:(4) right angle

Step-by-step explanation:

you need to get 180 right solve it from there

The angle is 90degrees, hence the triangle PQR is right triangle

The sum of an interior angle of a triangle is 180 degrees. If the triangle PQR has angles in the ratio of 2:3:5.

Sum of the ratio = 2 + 3 + 5

Sum of the ratios = 10

For the ratio of m<P:

<P = 2/10 * 180

<P = 36 degrees

For the angle m<Q

m<Q = 3/10 * 180

m<Q = 54 degrees

For the angle R;

m<R = 5/10 * 180

m<R = 90 degrees

Since one of the angles is 90degrees, hence the triangle PQR is right triangle

Learn more on angles here: https://brainly.com/question/14362353

Quadrilaterals with same length and breadth or height have same areas.

Step-by-step explanation:

You can prove this by drawing two quadrilaterals individually and then by calculating there areas.

Answer:

3

Step-by-step explanation:

If x-1 is a factor, then x=1 is a solution. So:

0=1³+1k-4

1k=3

k=3 .........

For the given trinomial that has the factor (x -1), k = 1,

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.

Given a trinomial equation:

f(x)=x^3+kx-4

And also given it has a factor (x - 1)

Thus, at x = 1 the value of the f(x) will be 0

So,

f(x) = x^3 + kx - 4

f(1) = 1^3 + k*1 - 4

0 = 1 + k -4

k = 3

therefore, The value of k = 1 for the given Trinomial that has  the factor (x -1)

Learn more about Polynomials here:

https://brainly.com/question/11536910

#SPJ2

Answer:

can you add a picture of the circle?

Step-by-step explanation:

Answer:

25 i think

Step-by-step explanation:

Answer:

yes lol unless u dont wanna

Answer:

If you want, but I'm open :P

Step-by-step explanation:

:D

Answer:

n=3

Step-by-step explanation:

Answer:

n=3

Step-by-step explanation:

-24 -6n = -42

+24 (move to other side)

-42 + 24 = -18

-6n = -18

to move the -6 to the other side you divide

-18 divided by -6 is 3

n=3