Question 1
10 pts
The vertices of a triangle are P(4,7), Q(-1,7) and R(4,-5). What is the
perimeter of triangle PQR?

Answer:

63/100

Step-by-step explanation:

Answer:

y = |x| - 4

Step-by-step explanation:

this translates the function y down by 4 as is required

Answer:

whaaaaaattttt                        

Step-by-step explanation:

.................................... i think c or f

Answer:

The equation is [tex]x^{2} +2\cdot x + 2 = 0[/tex]-

Step-by-step explanation:

According to the statement, we have a second order polynomial of the form [tex]A\cdot x^{2}+ B\cdot x + C = 0[/tex], whose solutions can be found by Quadratic Formula:

[tex]x_{1,2} = \frac{-B\pm \sqrt{B^{2}-4\cdot A\cdot C}}{2\cdot A}[/tex] (1)

Where [tex]A[/tex], [tex]B[/tex] and [tex]C[/tex] are the coefficients of the polynomial.

If roots are conjugated complex numbers, then:

[tex]B^{2}-4\cdot A\cdot C < 0[/tex] (2)

[tex]B^{2} < 4\cdot A \cdot C[/tex]

If we know that [tex]A = 1[/tex], [tex]C = 2[/tex] and [tex]x_{1,2} = -1\pm i[/tex], then we find that:

[tex]-1\pm i = -\frac{B}{2}\pm \frac{\sqrt{B^{2}-8}}{2}[/tex]

[tex]-2 \pm i\,2 = -B \pm \sqrt{B^{2}-8}[/tex]

By comparing each side, we have the following system of equations:

[tex]-B = -2[/tex] (3)

[tex]\sqrt{B^{2}-8} = 2[/tex] (4)

Whose solution is [tex]B = 2[/tex].

In a nutshell, the equation is [tex]x^{2} +2\cdot x + 2 = 0[/tex]-

Answer:

D. 16√3

Step-by-step explanation:

To find the area, you have to find the height. To find that, you spit the triangle in half for a 30 - 60 - 90 triangle and figure out that the height is 4√3.

After you find the height, you do the equation for the area of a triangle which is 1/2 side * height, and you fill it out.

1/2 8 * 4√3

4 * 4√3

16√3

Answer:

2.8a²+0.9a - 1.2

Step-by-step explanation:

Given the expression 0.3(3a-4)-0.05(8a)(-7a)

Expand using the distributive law

0.3(3a-4)-0.05(8a)(-7a)

0.3(3a)-0.3(4)-0.05(8a)(-7a)

0.9a-1.2 - 0.05(8a)(-7a)

0.9a - 1.2 + 2.8a²

Rearrange

2.8a²+0.9a - 1.2

Hence the required expression is 2.8a²+0.9a - 1.2

Answer:

-15

Step-by-step explanation:

Answer:

1.6

Step-by-step explanation:

since it is 5 days and you are splitting the traik mix

divided the amount of trail mix by the day

Answer:

The answer is D

Step-by-step explanation:

Answer:

120

Step-by-step explanation:

2³* 3 * 5

3*5

LCM = 2³ * 3 * 5 = 8 * 3 * 5 = 120

Answer:

The answer is A

Step-by-step explanation:

A closed circle means the number is included in the equation / solution. An open circle means it is not. The problem says greater than or equal to 36 inches tall which means that circle should be closed. And less than 48 inches. It does not say anything about being equal when it states the 48 inches so that one should be open.

Answer:

d. f(x) = 4(x + 3)

Answer:

-8

Step-by-step explanation:

If you input x as -2 you get 8=0 so you have to add -8 for it to be true.

Answer:

0

Step-by-step explanation:

We can substitute x for 6 and solve the equation.

Answer:

19.1 miles

Step-by-step explanation:

The situation given represents a right triangle.

Thus, we would use trigonometric function to find how far north the boat travelled.

Let's represent how far the boat travelled north with "x".

Thus:

Reference angle = 23°

Opposite = x

Adjacent = 45 miles

Apply TOA:

Tan 23° = Opp/Adj

Tan 23° = x/45

Multiply both sides by 45

45 × Tan 23° = x

x = 45 × Tan 23°

x = 19.1013667

x = 19.1 miles (nearest tenth of a mile)

The system of the equations that has a solution of (-2, 0, 1) will be x + y + z = -1, x + y + 2z = 0, and x + 2y + 3z = 1.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The system of the equations that has a solution of (-2, 0, 1) will be

Let the number of variables be x, y, and z.

Then we have

Then the first equation will be

x + y + z = -1

Then the second equation will be

x + y + 2z = 0

Then the third equation will be

x + 2y + 3z = 1

More about the linear system link is given below.

https://brainly.com/question/20379472

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Answer:

E

F

D

Step-by-step explanation:

That's what I am sorry if its wrong

Answer:

C, E and F

Step-by-step explanation:

Answer:

x = 30.6 km/hr

Step-by-step explanation:

Dados los siguientes datos;

Velocidad = 8.5 m/s

Para convertirlo a km /hr;

1 m/s = 3.6 km/hora

8.5 m/s = x km/hora

Multiplicación cruzada, tenemos;

x = 8.5 * 3.6

x = 30.6 km/hora

Velocidad se puede definir como la tasa de cambio en el desplazamiento (distancia) con el tiempo. La velocidad es una cantidad vectorial y, como tal, tiene magnitud y dirección. Matemáticamente, la velocidad viene dada por la ecuación;

[tex] Velocidad = \frac {distancia} {tiempo} [/tex]

Answer:

B I am pretty sure

Step-by-step explanation:

Answer:

Soup B

Step-by-step explanation:

Given :

Soup A:

Sodium(mg) 720

Ounces 6 1

Soup B :

Sodium(mg) 600

Ounces 4 1

To Obtian the amount of sodium per ounce in each of soup A and B

Soup A :

Sodium per ounce = 720 mg / 61 = 11.803 mg / ounce

Soup B:

Sodium per ounce = 600 mg / 41 = 14.634mg / ounce

Hence. SOUP B contains more soudiun per ounce

Answer:

D. The clinic opened at 7:30 A.M. and closed at 6:30 P.M.

Step-by-step explanation:

Pay attention to the times, and the amount of time the given location is open.

Only option D makes sense since the clinic open for 11 hours and the difference from the times given is exactly 11 hours; the other options are off, some give longer, and some give fewer amount of time.

Answer:

The clinic opened at 7:30AM and closed at 6:30PM

Step-by-step explanation:

The gragh shows The clinic opean 11 hours.

So It  7:30+11h= 18:30=6:30PM

SO This one is correct

Answer:

arc AB = 3.14 in

Step-by-step explanation:

circumference of full circle = π2r = (3.14)(2)(6) = 37.68 in

arc AB = (30°/360°)(37.68) = 3.14 in

Answer:

11

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

It is 5 because she originally had 13. There are 5 types of dogs she was dog-sitting. There are 5 possible types of dogs that ran away.

Answer:

200 ft squared of   W I N E

Step-by-step explanation:

W I N E

Answer: A

Step-by-step explanation: sorry hope that right

I think it’s - A

sorry if wrong  v( ‘.’ )v

Answer:

Adjacent

Step-by-step explanation:

∠3 and ∠4 share a common vertex & arm

Answer:

a the graph is correct

Step-by-step explanation:

edg 21 ^u^

The graph x² + ( y²/49 )>1 is correct. The correct option is A.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The given inequality is x² + ( y²/49 )>1;. The graph is plotted on the x-y plane. The curves of the graph cut the y-axis at positive 7 and negative 7 and cut the x-axis at positive 1 and negative 1.

Hence, the correct option is A.

To know more about inequality follow

https://brainly.com/question/24372553

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Answer:

C

Step-by-step explanation:

Supplementary angles because their sum is 180 degrees

Answer:

height = 5+2xbase

74 = 5+2xbase

subtract 5 from both sides

69 = 2xbase

divide both sides by 2

34.5mm = base length