What is the solution to the system of equations graphed below?
y=-x+2
y = 5x + 28
O A. (-8,4)
B. (0,2)
C. (-4,8)
D. (4,8)

Answer:

Since [tex]AB \neq BC \neq AC[/tex] and [tex]\cos B = 0[/tex], we conclude that given triangle is a right-angled and scalene.

Step-by-step explanation:

First, we determine the lengths of sides [tex]AB[/tex], [tex]BC[/tex] and [tex]AC[/tex] by the Equation of the Line Segment, which is based on the Pythagorean Theorem:

Line segment AB

[tex]AB = \sqrt{(4-1)^{2}+ (4-1)^{2}}[/tex]

[tex]AB = 3\sqrt{2}[/tex]

Line segment BC

[tex]BC = \sqrt{(6-4)^{2}+(2-4)^{2}}[/tex]

[tex]BC = 2\sqrt{2}[/tex]

Line segment AC

[tex]AC = \sqrt{(6-1)^{2}+(2-1)^{2}}[/tex]

[tex]AC = \sqrt{26}[/tex]

And the angles are found by means of the Law of Cosine:, where acute angles exist when [tex]0 < \cos \theta < 1[/tex], whereas obtuse angles exist for [tex]-1 < \cos \theta < 0[/tex].

Angle A

[tex]BC^{2} = AB^{2} + AC^{2} - 2\cdot AB\cdot AC \cdot \cos A[/tex] (1)

[tex]\cos A = \frac{BC^{2}-AB^{2}-AC^{2}}{-2\cdot AB\cdot AC}[/tex]

[tex]\cos A = \frac{8-18-26}{-2\dot (3\sqrt{2})\cdot (\sqrt{26})}[/tex]

[tex]\cos A = 0.832[/tex]

Angle B

[tex]AC^{2} = AB^{2} + BC^{2} - 2\cdot AB\cdot BC\cdot \cos B[/tex] (2)

[tex]\cos B = \frac{AC^{2}-AB^{2}-BC^{2}}{-2\cdot AB\cdot BC}[/tex]

[tex]\cos B = \frac{26-18-8}{-2\cdot (3\sqrt{2})\cdot (2\sqrt{2})}[/tex]

[tex]\cos B = 0[/tex]

Angle C

[tex]AB^{2} = AC^{2}+BC^{2}-2\cdot AC\cdot BC\cdot \cos C[/tex] (3)

[tex]\cos C = \frac{AB^{2}-AC^{2}-BC^{2}}{-2\cdot AC\cdot BC}[/tex]

[tex]\cos C = \frac{18 -26-8}{-2\cdot (\sqrt{26})\cdot (2\sqrt{2})}[/tex]

[tex]\cos C = 0.555[/tex]

Since [tex]AB \neq BC \neq AC[/tex] and [tex]\cos B = 0[/tex], we conclude that given triangle is a right-angled and scalene.

Answer:

x = number of hours to work

x = 510/8.5

x = 60 hours

Step-by-step explanation:

Answer:

2-2 times

4-5 times

6-2 times

4 is the mod

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The choices are 2, 4, or 6, and the mode is the number that appears most frequently. The number of each is as follows:

2-2

4-5

6-2

4 appeared most often, so it is the answer.

Answer: I’m pretty sure it is 2

Step-by-step explanation:

5*5*5=125

Well if you multiply 2*2*2=8 which is another number in the Fibonacci cubic code.....

Answer:

it increases by 125 for each ton of sugar being transported

Step-by-step explanation:

750-875= 125

Answer:

30

Step-by-step explanation:

I believe it would be 30 degrees because it is opposite of mAGB.

Answer:

the correct answer is yes

Answer:

-9; 1

Step-by-step explanation:

x+4=5

x=5-4

x=1

x+4=-5

x=-5-4

x=-9

The solution of the quadratic equation (x + 4)^2 = 25 is x = -9 and x = 1

The correct answer is option (C)

"It is a polynomial with degree 2. The general form of quadratic equation is ax²+ b x + c =0, where a, b, c are real numbers with a ≠ 0."

For given example,

We need to find the solution of the quadratic equation (x + 4)^2 = 25.

⇒ (x + 4)^2 = 25

⇒ x² + 2(4)(x) + (4)² = 25

⇒ x² + 8x + 16 = 25

⇒ x² + 8x - 9 = 0

⇒ x² + 9x - x - 9 = 0

⇒ x(x + 9) - 1(x + 9) = 0

⇒ (x + 9)(x - 1) = 0

⇒ x + 9 = 0   and x - 1 = 0

⇒ x = -9 and x = 1

The correct answer is option (C)

Learn more about quadratic equation here:

https://brainly.com/question/1863222

#SPJ2

Answer:

mean: 11 median: 10

Step-by-step explanation:

Answer: Mean =11

Median =10

Step-by-step explanation:

Answer:

$ 44.352

Step-by-step explanation:

The bill of both of them was $36.96. And they gave a tip of 20%. So , the total amount paid will be ,

=> Amount = Bill + 20% of Bill

=> Amount = $36.96 + 20% of $ 36.96

=> Amount = $36.96 + 1/5 * $36.96

=> Amount = $36.96 + $7.392

=> Amount = $ 44.352

Answer:

$44.352

Step-by-step explanation:

Their bill = $36.96

Tip = 20% of $36.96

= 20/100 × 36.96

= $7.392

Hence, their total bill = $36.96 + $7.392

= $44.352

Answer:

the answer is 2 cm

I guess

Answer:

18.2

Step-by-step explanation:

45.5/2.5 = 18.2

Answer:

7(7p-5q)

Step-by-step explanation:

49p-35q

7(7p-5q)

Point Form:

(−3, 5)

Equation Form:

x = −3,y = 5

Answer:

22+8x less then or equal to 60

Step-by-step explanation:

Debbie has at most $60 to spend

Then it will be <=60

Now she has to spend 22 dollars on jeans so 22 will be add to the initial amount for sure.

And

Let x be the number of t-shirts

Then the cost of x t-shirts will be 8x

Putting this in to inequality will be:

The inequality to find the maximum number of t-shirts is:

Answer:

A. (7,8,9)

Step-by-step explanation:

A. If, 7^2+8^2=9^2, then it is a pythagorean triplet.

But, 49+64 is not equal to 81.

Hence, the first trio is not a pythagorean triplet.

Answer:

Table A

Step-by-step explanation:

If you do delta method (Change in y and x)

For example, 120-24

______ = 96/8

10-2

Then you divide both the numerator and denominator by the denominator (which is 8) and that gets us to 12 as our answer. Do the same method for all of the numbers in table A.

Ps: I hope that I was helpful, and you are welcome.

Answer:

603 cm³

Step-by-step explanation:

v = πr²h

v = π(4²)12

v = 3.14 * 16 * 12

v = 602.88

rounded

603 cm³

Answer:

maybe answer is D

HOPE IT HELPED

Answer:

x = (12+4y)÷3

Step-by-step explanation:

loveeeeee

Answer: b is correct

Step-by-step explanation:

5. complementary angles = 90°

90 - 40 = 50

50°

6. supplementary angles = 180°

180 - 40 = 140

140°

5) complimentary angles = 90

If one is 40 then the other is = 90-40= 50

6) Supplementary angles = 180

If one is 40 then the other is = 180 - 40 = 140

Hope u understand

Please mark as the brainliest

Thank You

Answer:

Step-by-step explanation:

The graph is the translation of the parent function 2 units down.

The parent function is f(x) = x³.

The translation is f(x) - 2

The function is:

Correct choice is D

Answer:

Option D

Step-by-step explanation:

The parent function is y=x³

Translate 2 units down

This is showing on graph

Option D is correct

Answer:

12

Step-by-step explanation:

48/4 = 12

Answer:

12

Step-by-step explanation:

you need to divide 48 by 4 which would get you 12

Questions that followed :

What does the slope of the graph of this equation represent?

What does y-intercept of the graph of this equation represent?

Answer:

Kindly check explanation

Step-by-step explanation:

Given the model:

y = 16,500 - 1,500x

The slope = - 1500 ; this is a negative slope and means that the dependent variable will decrease with increase in the independent variable.

This means that, the market value of a car will decrease by 1500 per unit increase in year (a yearly fall of 1500 from the market value of cars per year after purchase).

The y - intercept is the value of y (market value) when x (number of years ) = 0 ; This means that the intercept value of 16500, is the initial prove of the car ; current value when the car hasn't been used.

Answer:

The next step would be adding -4 to the other side since it would cancel out -4

Step-by-step explanation:

Answer:

15/10

Step-by-step explanation:

Since it is adding you need to get a common denominator(bottom number).

I know that 2 × 5 = 10 so now we multiply 3/5 × 2

we get 6/10

now the problem is 9/10 + 6/10

9 + 6 = 15 and the denominator is 10

15/10

Answer:

A. 15/10

Step-by-step explanation:

3/5= 6/10

6/10+9/10= 15/10

Answer:

20.9

Step-by-step explanation:

Answer:

1.4

Step-by-step explanation:

7/5 =  1.4

Answer:

C. f(x) = 3·x + 2, g(x) = 7·x + 6

Step-by-step explanation:

The given equations relates to the property of equality of values;

The given formula for the association between f(x) and g(x) is f(x) = g(x)

The given equation of two expressions is 3·x + 2 = 7·x + 6

By transitive property of equality, the two above equations are correct when f(x) = 3·x + 2 and g(x) = 7·x + 6

Therefore, the function that may be used to represent the equation is option C; f(x) = 3·x + 2, g(x) = 7·x + 6.