What is the length of CG? On a triangle

Answer:

[tex]y=\frac{6}{5}x-5[/tex]

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Plug in the two given points (0,-5) and (5,1)

[tex]m=\frac{1-(-5)}{5-0}\\m=\frac{1+5}{5-0}\\m=\frac{6}{5}[/tex]

Therefore, the slope of the line is [tex]\frac{6}{5}[/tex]. Plug this into [tex]y=mx+b[/tex]:

[tex]y=\frac{6}{5}x+b[/tex]

2) Determine the y-intercept (b)

[tex]y=\frac{6}{5}x+b[/tex]

On the graph, we can see that when x is 0, y is equal to -5 (we're also given the point (0,-5). Therefore, the y-intercept of the line is -5. Plug this back into the equation:

[tex]y=\frac{6}{5}x-5[/tex]

I hope this helps!

Answer:

y = 6/5x - 5

Step-by-step explanation:

To find the equation of a linear line you need 2 things: the slope and the y-intercept.

The slope can be found by taking two points and dividing the change in y by the change in x. Using the two points highlighted, the slope would be (1 - -5)/(5-0) = 6/5.

The y-intercept is where the line crosses the y-axis, which on this line is at -5. Then plug in this information into point slope form, y = mx + b, where m is the slope.

So you get y = 6/5x - 5.

Here is standard form too if you need this instead: 6x - 5y = 25

Answer:

The answer is:

y=-2x+2+x+1

y=_2x+x+2+1

y=x+3

Hope it helps

Answer:

7

Step-by-step explanation:

According to the Question,

Given, There is a 2-digit number, the unit digit is 3 & The sum of its tens digit, and the unit digit is 10.

Suppose The Number is XY .

Now, We Know X+Y=10 & Y=3 .

So, X+3=10 ⇔ 7 is the number on Tens Place.

And, the Number is 73 .

Answer:

B.

[tex](3x - 15) -(45 - x) = 0 \\ 4x -60 = 0 \\ 4x = 60 \\ x = 15[/tex]

Answer:

The total cost = $1,099

It would take 100 days

Step-by-step explanation:

Let

x = number of days

Cost of BT&T Cellular = 899 + 2x

Cost of Revizon Electronics = 799 + 3x

Equate the cost of both cell phone services.

899 + 2x = 799 + 3x

899 - 799 = 3x - 2x

100 = x

x = number of days = 100 days

Cost of BT&T Cellular = 899 + 2x

= 899 + 2(100)

= 899 + 200

= $1,099

Cost of Revizon Electronics = 799 + 3x

= 799 + 3(100)

= 799 + 300

= $1,099

Answer:

parallelogram

Step-by-step explanation:

Answer:

sin c

Step-by-step explanation:

Based on the figure, The true equations are, B. cos48° = b/c,

C. sin42° = b/c, E. tan42° = b/c and F. tan48° = a/c.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

We know, The sum of all the interior angles in a triangle is 180°.

So, The m∠B = 180° - 90° - 48° = 42°.

Now according to reference angles, we'll obtain the trig ratios.

cos42° = a/c.

cos48° = b/c.

sin42° = b/c.

sin48° = a/c.

tan42° = b/c.

tan48° = a/c.

learn more about trig ratios here :

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T=Tens

U=Unit

From the question... The Unit digit is twice the Tens digit

Let the Number be xy

Meaning

y is the unit number

x is the tenth Number

Can be inferred for the question that

y=2x ...........(i)

Also

If the Number is doubled x2(times 2)

"It'll be 9more than the reversed"

Now listen

if you want to express a 2digit Number...

Let's say 45...

It can be expressed as 10x4 + 5 = 45

or

66 can be expressed as 10x6 + 6 = 66

So

It'd be better if we express this our unknown number like that too

So

Let's express "xy" like "10x + y"

Hope you grab?

Now from the second statement of the question..

If The Number is doubled...It'll be 9 more than the reversed

What is the reverse of that Number??

The reverse would be "10y + x"

You can see that x and y switched places.

so

The statement said...

2(10x + y) + 9 = 10y + x (reversed)

20x + 2y + 9 =10y + x ........(ii)

Recall from our first eqn

y=2x

Now substitute y=2x into eqn ii

20x + 2(2x) + 9 = 10(2x) + x

20x + 4x +9 = 20x + x

20x - 20x + 4x - x = -9

3x = -9

x=-3

y=2x

y=2(-3)

y=-6

So The Number is 10x + y

= 10(-3) + (-6)

=-30-6

=-36

This answer obeyed the first part of the question because the unit is twice digit(2x3)

Let's check if it obeyed the second part

2[(10(-3) + (-6)] + 9 = 10(-6) + (-3)

2(-30-6) + 9 = -60-3

-63=-63

The 2nd part is also true.

So

Our Number is -36.

I'm Open to corrections if you spot any.

Answer:

x ≈ 33.4

Step-by-step explanation:

Using the sine ratio in the right triangle

sin46° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{24}{x}[/tex] ( multiply both sides by x )

x × sin46° = 24 ( divide both sides by sin46° )

x = [tex]\frac{24}{sin46}[/tex] ≈ 33.4 ( to the nearest tenth )

Answer:

26

Step-by-step explanation:

64 + x = 90 ( whole part axioms )

x = 90 - 64

x = 26

Complete question:

Anty was riding his bike to school at a speed of 12 mph. When he was half of the way there, he got a flat tire. His mother drove him the rest of the way at a speed of 48 mph. What was his average speed?

Answer:

His average speed is 19.2 mph

Step-by-step explanation:

Given;

speed of Anty to school half of the way, v₁ = 12 mph

speed of Anty when his mother drove him half of the way, v₂ = 48 mph

The average speed of Anty is calculated as;

[tex]V_{average} = \frac{Total \ distance }{Total \ time }[/tex]

The value of the average speed is closer to 12 mph than 48 mph because Anty spent more time moving at 12 mph than at 48 mph.

Let the equal distance travel at each speed = 96 miles

Time taken at 12 mph = [tex]\frac{96 \ mile}{12 \ m/h} = 8 \ hours[/tex]

Time taken at 12 mph = [tex]\frac{96 \ mile}{48 \ m/h} = 2 \ hours[/tex]

Average speed = [tex]\frac{Total \ distance}{Total \ time } = \frac{96 \ mile \ + \ 96 \ mile}{2\ hr \ + \ 8\ hr} = \frac{192 \ miles}{10 \ hrs} = 19.2 \ mph[/tex]

Also, you can assume any other equal distance traveled at each speed, the average speed will still be 19.2 mph.

Check: let the equal distance traveled at each speed = 480 miles

Time taken at 12 mph = 480/12 = 40 hours

Time taken at 48 mph = 480/ 48 = 10 hours

Average speed = (480 + 480) / (40 + 10)

                          = 19.2 mph

Answer:

Place the midpoint of the protractor on the VERTEX of the angle.

Line up one side of the angle with the zero line of the protractor (where you see the number 0).

Read the degrees where the other side crosses the number scale.

Step-by-step explanation:

Hope this helps!! :))

Answer:

Graph U

Step-by-step explanation:

A graph is used to illustrate the relationship between variables.

For graph U:

Graph U is positive on (-∞, ∞). The graph also increases on (-∞, ∞). The graph approaches 0 as x approaches -∞.

For graph V:

Graph V is positive on (-∞, ∞). The graph also increases on (-∞, ∞). The graph is negative as x approaches -∞.

For graph W:

Graph W is positive on (-∞, 0). The graph also increases on (-∞, 0). The graph approaches 0 as x approaches -∞.

For graph X:

Graph X is positive on (-∞, ∞). The graph also increases on (-∞, ∞). The graph is negative as x approaches -∞

For graph Y:

Graph Y is positive on (-∞, ∞). The graph also decreases on (-∞, ∞). The graph approaches 0 as x approaches ∞.

For graph Z:

Graph Z is negative on (-∞, ∞). The graph also decreases on (-∞, ∞). The graph is approaches 0 as x approaches -∞

Answer:

$19,000

Step-by-step explanation:

The original or initial price of the car = discount price + amount by which the car was reduced

$16,000 + $3000 = $19,000

The percentage decrease in price = (amount discounted / original price) x 100

( $3000 / $19,000) x 100 = 15.79%

Answer:

5

Step-by-step explanation:

1+2+2+3+3+3+4+5+6+6+7+7

+7+8+9 = 73

73/15 = 4.86667

you add all the numbers and divide by how many numbers there were.

so round it up and it should be 5.

Answer:

V ≈ 254.5 in³

Step-by-step explanation:

The volume (V) of the cylindrical tube is calculated as

V = πr²h ( r is the radius and h the height ) , then

V = π × 3² × 9 = π × 9 × 9 = 81π ≈ 254.5 in³ ( to 1 dec. place )

Answer:

71%

Step-by-step explanation:

hydrosphere and biosphere both make sense, but from many searches, it says that at least 70% of Earths SURFACE is covered in water (not describing how deep the water is), so the greatest estimate yet would be 71%

Answer:

La velocidad mínima a la que debe ir un conductor que cometa una infracción es de:

O si se desea un número entero:

Step-by-step explanation:

Para identificar la velocidad que debe levar un conductor para cometer una infracción, se deben tener en cuenta las pautas dadas en el ejercicio:

Ahora debemos calcular el 12% de la velocidad máxima permitida y sumarlo a dicha velocidad, con el fin de calcular la velocidad límite justo antes de cometer la infracción:

Cómo puedes ver, cuando el conductor está manejando a 134.4 Km/h está justo al límite antes de cometer una infracción, ya que recuerda que en el enunciado se menciona que "se considera infracción si se sobrepasa según al rodar el 12% de esa velocidad", por lo tanto, la velocidad que debe tener para cometer esa infracción debe ser mayor a la velocidad límite, la cual puede ser 134.5 Km/h, aumentando solo una décima a la velocidad límite, o 135 Km/h si se requiere que la respuesta sea un número entero.

Answer:

-3   -2

-2   0

-1   6

3  10

4  12

Step-by-step explanation:

f(x)=2x+4

Let x = -3  f(-3) = 2*-3 +4 = -6+4 = -2

Let x = -2  f(-2) = 2*-2 +4 = -4+4 = 0

Let x = -1  f(1) = 2*1 +4 = 1+4 = 6

Let x = 3  f(3) = 2*3 +4 = 6+4 = 10

Let x = 4  f(4) = 2*4 +4 = 8+4 = 12

Answer:

492.205

$492

Step-by-step explanation:

2050/100 = ?/ 70 <- repeat four times changing 2050 to the new value.

The resale value of the laptop after 4 years will be approximately $492.

To calculate the resale value "b" of the item after "n" years, we need to apply the annual decrease in value to the original price "a" for each year (n). We can do this using a loop or by using a formula.

b = a x (1 - decrease rate)ⁿ

As per the question, the old value is $2050, the decrease rate is 30%, and the number of years is 4. Plugging these values into the formula gives us:

new value = $2050 x (1 - 0.30)⁴

Simplifying this expression gives us:

new value = $2050 x 0.70⁴

new value = $2050 x 0.2401

Which simplifies to:

new value = $492.205

Rounding this result to the nearest dollar gives us $492.

Therefore, the resale value of the laptop after 4 years will be approximately $492.

To learn about the markup rate click here:

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Step-by-step explanation:

We can simply by opening the brackets ,

=> y - 1 = 5( x - 2 )

=> y - 1 = 5x - 10

=> y - 5x = -9

=> 5x - y + 9 = 0

Answer:

120 trees

Step-by-step explanation:

4x10=40

40x3=120

120 trees will be planted

Answer:

Step-by-step explanation:

1 cm = 10 mm

a) 0.1 cm = 1 mm

1 mm = 1000 m

b) 25000mm = 25 m

1 g = 0.001 kg

c) 7g = 0.007 kg

1ml = 0.000001

d) 30000ml = 0.03 kl

Answer:

The answer is D, 200

Step-by-step explanation:

Since the formula for the volume of a rectangular prism is V = lwh, we multiple the length, width, and height together. This works for any rectangular prism.

V = lwh = 5 * 4 * 10 = 200

Answer:

200 ft3

Step-by-step explanation: