Question 40 of 40
Estimate the line of best fit using two points on the line.

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:(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:

-10/f-6f

Step-by-step explanation:

simplify it the equation

Answer:

can you add a picture of the circle?

Step-by-step explanation:

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:

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:

0.0238  g

Step-by-step explanation:

Given that:

the certain mineral = potassium and a medium artichoke contain about 0.17 g of it.

Suppose a medium artichoke contains about 14% of the recommended amount of a certain mineral.

On Average, the amount an adult should have each day = 0.17 g × (14/100)

= 0.0238  g

Answer:

46.6

Step-by-step explanation:

[tex]48^{2} - 20^{2} = 1904\\\sqrt{1904} = 43.6\\43.6 + 3 = 46.6[/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:

On what

Step-by-step explanation:

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:

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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

Answer:

4,400

Step-by-step explanation:

Hope this helps!

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:

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Answer:

25 i think

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

40/50

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:

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:

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:

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:

yes lol unless u dont wanna

Answer:

If you want, but I'm open :P

Step-by-step explanation:

:D