Consider a system of two linear equations in two variables. If the graphs of the equations are not the same line, is it possible for the system to have infinitely many solutions. Explain.

Answer:

See explanartions below

Step-by-step explanation:

Given the coordinates A(-6,3) B(0,5) C(2,-1)

We first need to get the slope of AB, BC and AC

For AB;

A(-6,3) B(0,5)

Mab = 5-3/0-(-6)

Mab = 2/6

Mab = 1/3

For BC;

B(0,5) C(2,-1)

Mbc = -1-5/2-0

Mbc = -6/2

Mc = -3

For AC:

A(-6,3) C(2,-1)

Mac = -1-3/2-(-6)

MAc = -4/8

Mac = -1/2

Taking the product of Mab and Mbc

Mab * Mbc = 1/3 + -3

Mab * Mbc = -1

Since the product of Mab and Mbc is -1, hence AB abd BC are perpendicular showing that one of the angle of triangle ABC is 90 degrees

Answer:

See Explanation

Step-by-step explanation:

[tex] \csc \theta \: \cos \theta \: \tan \theta = 1 \\ \\ LHS = \csc \theta \: \cos \theta \: \tan \theta \: \\ \\ = \frac{1}{ \sin \theta} \: \times \cancel{ \cos \theta }\: \times \frac{ \sin \theta}{ \cancel{ \cos \theta }} \\ \\ = \frac{1}{ \cancel{ \sin \theta}} \: \times \cancel{ \sin \theta} \\ \\ = 1 \\ \\ = RHS \\ \\ hence \: proved[/tex]

Answer:

a) Only the first one is an identity.

Step-by-step explanation:

1). 8 cos O tan O csc O = 8   simplifies to:

cos O tan O csc O = 1

cos O * (sin O / cos O) * (1 /sin O)

=  cos O sin O / cos O sin O

= 1

So it is identity.

2) 13 sec^2 O/ cos^2 O - tan^2 O / cos^2O

= 13 sec^2 O - tan^2 O / cos^2 O

Now  sec^2 O = 1 + tan^2 O, so we have:

(13( 1 + tan^2 O) - tan^2 O) / cos^2 O

= (12 tan^2 O + 13) / cos^2 O

This is not always = 2 so its not an identity.

Step-by-step explanation:

Answer:

I can't draw models on here but i can walk you through it

Step-by-step explanation:

A linear model is usually a graph of a line were it is going left to right. Start by collecting your data and simply place the points from decreasing order to increasing and draw a line to collect them.

Have a great day! :)

Answer:

heres a pic of what linear models look like

hope u have a great day :P

Step-by-step explanation:

answer:

4

explanation:

3x-6=19

3x=19-6

3x=13

3x÷3=13÷3

x=4

Answer:

8.

Step-by-step explanation:

91-35=56

56/7=8

Answer:

It's D on study island

Step-by-step explanation:

Answer:

10 degrees

Step-by-step explanation:

sdfsdfs

The possible value of ∠L in ΔKLM is approximately 22 degrees.

Geometry is the study of two-dimensional and three-dimensional figures such as quadrilaterals, triangles, circles, their sides, and angles.

A square triangle is a diagram made by using the squares and the triangle simultaneously. Here in the image below you can see we can make the square triangle by using one square and three triangles.

To find the possible values of ∠L in triangle ΔKLM, we can use the Law of Cosines, which relates the sides and angles of a triangle:

c² = a²+ b²- 2abcos(C)

Where a, b, and c are the lengths of the sides of the triangle opposite to the angles A, B, and C, respectively.

In our case, we know that:

KL = l = 26 cm (the side opposite to ∠M)

KM = k = 56 cm (the side opposite to ∠L)

∠K = 22° (angle opposite to KL)

To find the length of LM (the side opposite to ∠K), we can use the Law of Cosines:

LM² = KL² + KM^2 - 2KLKMcos(K)

LM² = 26² + 56² - 2(26)(56)cos(22°)

LM ≈ 61.3 cm

Now we can use the Law of Sines, which relates the lengths of the sides and the opposite angles of a triangle:

a/sin(A) = b/sin(B) = c/sin(C)

In our case, we can use this formula to find the value of sin(∠L):

sin(∠L)/KM = sin(∠K)/LM

sin(∠L)/56 = sin(22°)/61.3

sin(∠L) ≈ 0.374

∠L ≈ arcsin(0.374)

∠L ≈ 22° (rounded to the nearest degree)

Therefore, the possible value of ∠L in ΔKLM is approximately 22 degrees.

To know more about geometry follow

https://brainly.com/question/30428301

#SPJ3

Answer:

[tex]x^{2} -1[/tex]

Step-by-step explanation:

You will need to multiply and distribute out the equation.

[tex](x-1)(x+1)\\x^{2} - x + x -1\\x^{2} - 1[/tex]

Answer:

please give me brainlist and follow

Step-by-step explanation:

Correct option is

A

5/7

As A and B are independent

0.8=P(A∪B)=P(A)+P(B)−P(A)P(B)

=0.3+P(B)−(0.3)P(B)

⇒0.5=(0.7)P(B)⇒7P(B)=5

Answer:

56 times .86=48.16

Step-by-step explanation:

Answer:

C. The rising action shows Anton creatively solving problems.

Step-by-step explanation:

Answer:

the person above me is right

Step-by-step explanation:

Answer:

46

explanation:

its supposed to make up 180 so you will subtract 180 from 134 and thats your answer

Answer: x > 2.5

Step-by-step explanation:

Since Mrs Gallegos burns 236 calories riding her bike each hour and she wants to burn more than 590 calories riding her bike at the same rate, the inequality that will represent the number of hours that she will use will be:

x > 590/236

x > 2.5

She must ride the bike for more than 2 1/2 hours to burn more than 590 calories.

The question is incomplete. The complete question is :

A shipping container will be used to transport several 40-kilogram crates across the country by rail. The greatest weight that can be loaded into the container is 23000 kilograms. Other shipments weighing 7800 kilograms have already been loaded into the container. Which inequality can be used to determine cc, the greatest number of 80-kilogram crates that can be loaded onto the shipping container?

Solution :

Given data :

Weight of the crate = 40 kg

Greatest weight that the container can load = 23000 kg

Weight of the other shipments on the container = 7800 kg

So the greatest number of 40 kg crates = c

Therefore, the weight of the other shipment + weight of crate x number of crates ≤ greatest weight of the container

7800 + (40 x c) ≤ 23000

7800 + 40c ≤ 23000

40c ≤ 23000 - 7800

40c ≤ 15200

c ≤ 380

Hence, the maximum number of 40 kg crate is 380.

Answer:

98 m long

Step-by-step explanation:

588/6 = 98 m long

Answer:

956

Step-by-step explanation:

Answer:

658

Step-by-step explanation:

Answer: A). V = 1/3(3)(3)(5)

Step-by-step explanation:

• Use the volume of a pyramid formula: V = 1/3Bh, where h is height, V is volume, and B is the base area.

• The base area is length (l) • width (w), so use that to substitute B.

• Substitute the values to get the answer: A). V = 1/3(3)(3)(5)

No problem! I'm happy to help you!

Answer:

a = 0.5454545455

Step-by-step explanation:

Simplifying

3(a + 2) + 4(2a + -3) = 0

Reorder the terms:

3(2 + a) + 4(2a + -3) = 0

(2 * 3 + a * 3) + 4(2a + -3) = 0

(6 + 3a) + 4(2a + -3) = 0

Reorder the terms:

6 + 3a + 4(-3 + 2a) = 0

6 + 3a + (-3 * 4 + 2a * 4) = 0

6 + 3a + (-12 + 8a) = 0

Reorder the terms:

6 + -12 + 3a + 8a = 0

Combine like terms: 6 + -12 = -6

-6 + 3a + 8a = 0

Combine like terms: 3a + 8a = 11a

-6 + 11a = 0

Solving

-6 + 11a = 0

Answer: 706.5

Step-by-step explanation:

A= pi r squared

A= 3.14x15 squared

15 squared = 225

A= 3.14x225

9514 1404 393

Answer:

  d  2

Step-by-step explanation:

The system of equations can be written in augmented matrix form as ...

  [tex]\displaystyle\left[\begin{array}{cc|c}-\frac{1}{2}&3&-4\\-1&-1&-1\end{array}\right][/tex]

The value of x found by Cramer's rule is the ratio of two determinants. The numerator is the coefficient matrix with the x-column replaced by the constant column. The denominator is the coefficient matrix.

  [tex]\displaystyle x=\frac{\left|\begin{array}{cc}-4&3\\-1&-1\end{array}\right| }{\left|\begin{array}{cc}-\frac{1}{2}&3\\-1&-1\end{array}\right|}=\frac{(-4)(-1)-(-1)(3)}{(-\frac{1}{2})(-1)-(-1)(3)}=\frac{4+3}{\frac{1}{2}+3}\\\\\boxed{x=2}[/tex]

Using the Cramer's rule, the value of x in the system of equation is 2

The system of equation is given as:

-1/2x + 3y = -4

-x - y = -1

Represent the above equation as a matrix

[tex]\left[\begin{array}{cc}-1/2&3\\-1&-1\end{array}\right] \left[\begin{array}{c}-4&-1\end{array}\right][/tex]

Start by calculating the determinant of the matrix

|A| = -1/2 * -1 - 3 * -1

Evaluate

|A| = 7/2

To calculate x, we replace the first column by the last.

So, we have:

[tex]\left[\begin{array}{cc}-4&3\\-1&-1\end{array}\right][/tex]

Next, calculate the determinant of the matrix

|x| = -4 * -1 - 3 * -1

|x| = 7

The value of x is then calculated as:

x = |x|/|A|

This gives

x = 7 ÷ 7/2

Evaluate

x = 2

Hence, the value of x is 2

Read more about Cramer’s rule at:

https://brainly.com/question/11198799

#SPJ6

Answer:

rate is 8 miles per hour and he travels 40 miles per 5 hours

Step-by-step explanation:

The story problem told that i should assume that 1 mile is 1.6 km

so 5km/hr is equal to 8m/h

i got it by multiplying 5 by 1.6 so i can change from the unit km to mile

so about the miles per 5 hours just multiply the 8 mph by 5 so it is 40

40miles per 5hrs

hope i made it clear

Answer:

1 is 90

2 is 52

Step-by-step explanation:

1 is a right angle so its 90

for 2 angles in a triangle equal to 180

so 180-90-38 is equal to 52

Answer:

Step-by-step explanation:

The slope of the line passing through two given points:  [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

(9, 12)   ⇒   x₁ = 9,  y₁ = 12

(7, 4)   ⇒     x₂ = 7,  y₂ = 4

So, the slope:

                     [tex]m=\dfrac{4-12}{7-9}=\dfrac{-8}{-2}=4[/tex]

Answer:

The answer is 10,5

Step-by-step explanation:

can i have brainliest please

Answer:

2w + 2L is the answer I think, but see the discussion below.

Step-by-step explanation:

There are three possibilities.

One

| = 1

so you get 1 + w + 1 + w = 2 + 2w

Two

l = L

l + w + l + w

So you get 2l + 2w. Since the l is so confusing, I normally use L for l. It's not very pretty but it does work

In this instance, you would get 2L + 2w

Three

| could be an absolute value signal. If that is the case, you should use abs(+w+)

Of the three, I think two is what you intended.