La ecuación de la recta que lasa a través de los puntos P1 (2,5) y P2 (4,11) es: a) 3x+y+1=0 b)3x-y-1=0 c) 3x-y+1=0

he slope-intercept form is y=mx+b y = m x + b , where m is the slope and b is the y-intercept. Using the slope-intercept form, the slope is 4 .

Step-by-step explanation:

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Answer:

y = - [tex]\frac{1}{4}[/tex] x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 4x - 3 ← is in slope- intercept form

with slope m = 4

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{4}[/tex] , then

y = - [tex]\frac{1}{4}[/tex] x + c ← is the partial equation

To find c substitute (4, 8) into the partial equation

8 = - 1 + c ⇒ c = 8 + 1 = 9

y = - [tex]\frac{1}{4}[/tex] x + 9 ← equation of perpendicular line

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Answer:

The final final number becomes 102 % of the original number

Step-by-step explanation:

Let the initial number be 100

After decreasing 15%, the new number is 100-15% of 100 = 85

The resulting number is then increased by 20%. The new number will be

85 + 20% of 85 = 85 + 17 = 102

The final final number becomes 102/100 * 100  percent of the original number

The final final number becomes 102 % of the original number

Answer: 15.4 m

Step-by-step explanation:

The area of a parallelgoram is:

A = bh,

where b is the base and h is the height.

We know that the base is 7.7 meters, and the height is 2 meters, so we can substitute:

A = 7.7 (2)

A = 15.4 m

Hope this helps! :)

Answer: The absolute value is -7 and is -7 far away from 0.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the functions f(x) = 2x^2 + 2 and g(x) = 2^x+1 + 2

If g(x) > f(x)

2^(x+1) + 2  > 2x^2 + 2

2^x*2 + 2 >2x^2 + 2

2^x*2 >2x^2

2^x > x^2

2^x - x^2 > 0

g(x) > f(x) over the interval 0 < x < 2 and x > 4.

What is a function?

A function is an expression that shows the relationship between two or more numbers and variables.

Given the function:

f(x) = 2x² + 2 and g(x) = 2ˣ ⁺ ¹ + 2

From the graph:

We can see that g(x) > f(x) over the interval 0 < x < 2 and x > 4.

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Answer:

A: Ruby only

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 + 40^2 = 41^2

a^2 + 1600 = 1681

a^2 = 1681 - 1600

a^2 = 81

a = 9

Answer:

D

Step-by-step explanation:

Answer:

The axis of symmetry of a parabola is a line about which the parabola is symmetrical.

Step-by-step explanation:

The axis of symmetry of a parabola is a line about which the parabola is symmetrical. When the parabola is vertical, the line of symmetry is vertical. When a quadratic function is graphed in the coordinate plane, the resulting parabola and corresponding axis of symmetry are vertical.

Answer:

LCM = 24

Step-by-step explanation:

8 = 2 x 2 x 2

12 = 2 x 2 x 3

LCM = 2 x 2 x 2 x 3 = 24

Hope that helps! :)

<3 Cin Aphrodite...

Answer:

24!

Step-by-step explanation:

8 = 2 x 2 x 2

12 = 2 x 2 x 3

2 x 2 x 2 x 3 = 24

Hope this helps : )

Answer: 250

Step-by-step explanation:

Given

12% of the Pizzas had extra cheese

If those pizzas were 30 in number

Suppose, x be the total Pizzas

So, 12% of x is 30

[tex]\Rightarrow x\times \dfrac{12}{100}=30\\\\\Rightarrow x=250[/tex]

Thus, 250 Pizzas were maid last week

Answer:

1200 ft²

Step-by-step explanation:

Let's say that Edwin's garden was 400 feet long and 1 foot wide.

If Tony's garden is half as long and 6 times as wide, then we need to divide 400 in half and multiply 1 by 6 to get the dimensions of Tony's garden.

400/2 = 200 ft

1 × 6 = 6 ft

Area of Tony's Garden = 6 x 200 = 1200 ft²

Answer:

x=3

Step-by-step explanation:

Answer:

RQS and Scale factor is 2/3.

Step-by-step explanation:

Scale factor is 2/3. 6 divided by 4 = .66 or 4/6 simplified 2/3

Answer: 6 v − 16

Step-by-step explanation:

Answer:

4a). 0.52

Step-by-step explanation:

-2(-5.2) × 0.1÷2= 0.52

Answer:

solved

Step-by-step explanation:

4n-28 -2n -6 -15n

-13n-34

-(13n+34)

egyuyeyuehebdfhvgebfjhaifhldan dhsgojkna jbhope

Answer: [tex]-8^{\circ}C[/tex]

Step-by-step explanation:

Given

The temperature on Tuesday is [tex]1^{\circ}C[/tex]

Temperature drops to [tex]-2^{\circ}C[/tex] on Wednesday

Net drop in temperature [tex]1-(-2)=3^{\circ}C[/tex]

The temperature drops twice from Wednesday to Thursday

[tex]\Delta T=2\times 3=6^{\circ}C[/tex]

Temperature on Thursday

[tex]\Rightarrow -2-6=-8^{\circ}C[/tex]

Answer:

50/50 chance

Step-by-step explanation:

Answer:

(-15,3) (2,-11) (-3,-7) (12,4)

Step-by-step explanation:

tell me if im wrong

Answer:

2/5 and 3/8

2/5 is greater than 3/8

Step-by-step explanation:

Those parallel lines mean absolute value which means no signs no positive nor negative.

Answer:

180

Step-by-step explanation:

This basically means that one and a half of the amount of people that took a biking class ran on the treadmill.

There are two ways to solve

1. [tex]\frac{150*120}{100}[/tex]

2. [tex]120+\frac{120\\}{2}[/tex]

To do the first one:

1. Multiply the values in the numerator

18000/100

2. Divide

180

To do the second one:

1. Divide the fraction

120 + 60

2. Add

180

Step-by-step explanation:

What is the Percentage?

percentage, a relative value indicating the hundredth parts of any quantity.

Given,

If you borrow $200 for 12 years at an annual interest rate of 2%

We need to find 2% of 200.

Firstly we have to convert  2% to a decimal number by dividing by 100.

2/100=0.02

Now we have to multiply 0.02 with 200

0.02×200=4

For a month it is four.

Now we are calculating for the year

4×12=48

So now the interest amount is 48.

Now add 48 and 200

48+200

248

Hence, If you borrow $200 for 12 years at an annual interest rate of 2%, then we have to pay $248 altogether.

Hope I Helped!

Answer:

D. 79%

Step-by-step explanation:

Took the the on USA Test prep

If a point is randomly selected from the rectangular area of the graph, the probability that it will be in the blue region is 79%.

The ratio of the number of favorable outcomes to the total number of outcomes of an event is known as probability.

It is given that, the length=20, the width=10, and the radius of half circle=10.

Calculate the area of the rectangle.

Knows the area of the rectangle is the product of length and width.

So,

[tex]\Rightarrow \text{Area of rectangle}=\text{10}\times \text{20} \\ \Rightarrow \text{Area of rectangle}=200 \\[/tex]

Calculate the area of the half-circle.

Knows the area of the half-circle[tex]=\frac{\pi r^{2} }{2}[/tex].

So,

[tex]& \Rightarrow \text{Area of half circle}=\frac{3.14\times 10\times 10}{2} \\ & \Rightarrow \text{Area of half circle}=\frac{314}{2} \\ & \Rightarrow \text{Area of half circle}=157 \\[/tex]

Calculate the probability that it will be in the blue region.

Knows the formula for the probability, [tex]\text{Probability}\left( \text{Event} \right)=\frac{\text{Favorable Outcomes}}{\text{Total Outcomes}}[/tex]

So,

[tex]& \Rightarrow \text{Probability}=\frac{\text{157}}{200} \\ & \Rightarrow \text{Probability}=0.78539 \\ & \therefore \text{Probability }\%=79\% \\[/tex]

Thus, the correct answer is an option (D). i.e., 79%.

Learn more about the probability, here

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Answer:

x=0

Step-by-step explanation:

Answer:

0/32

Step-by-step explanation:

4(8x+6)-2=22

32x+24-2=22

32x+22=22

32x=22-22

32x=0

x= 0/32

Answer:

-4

Step-by-step explanation: