5/6x+2/5y-1/4x+3/10y

Answer:

[tex]y+ 6 = 2 (x-7)[/tex]

Step-by-step explanation:

1) Lines that are perpendicular have slopes that are opposite reciprocals of each other. y = -1/2x - 8 is in y = mx + b form, in which the number in place of m represents the slope. So, the slope of y = -1/2x - 8 is -1/2. The opposite reciprocal of it would be (remember to flip the fraction and reverse the sign) 2. So, 2 is the slope we need for the answer.

2) When you know a point that the line must pass through and its slope, you can use point-slope form ([tex]y-y_1 = m (x - x_1)[/tex]) to write an equation. [tex]x_1[/tex] and [tex]y_1[/tex] represents the x and y values of the point the line intersects, and m represents the slope. So, substitute 2 for m, 7 for [tex]x_1[/tex], and -6 for [tex]y_1[/tex].

[tex]y-(-6) = 2 (x- 7)\\y + 6 = 2 (x-7)[/tex]

Answer:

Read this section of the text:

These raptors eat primarily flying insects, so they do most of their hunting on the wing.

What does primarily mean in this sentence?

Step-by-step explanation:

Answer:

(10,-1)

Step-by-step explanation:

If it shifts right, that means that the x is increasing

5+5 = 10

if it shifts down, that means the y is decreasing

1-2=-1

x= 10 y=-1

(10,-1)

Answer:

*give credit to Desmos

Step-by-step explanation:

Answer:

0.4 units

Step-by-step explanation:

Total weight boxes on a scale= 10

Total thay weighted = 4 pounds

Each box weighted balnk a pound= 4÷ 10= 0.4

Answer:

2 sin 2 theta cos 2 theta

Step-by-step explanation:

Mathematically;

sin (4theta) = sin (2theta + 2theta)

Using the sine addition rule

That would be;

sin 2 theta cos 2 theta + sin 2 theta cos 2 theta

= 2 sin 2 theta cos 2 theta

Answer:

600/100 X 108.25= 649.5

600/100 X 113 = 678

678 - 649.50 = 28.50

$28.50

Step-by-step explanation:

Find the radius: 6 ÷ 2 = 3m

Circumference = 2r with pi = 3cm x 3.14cm x 2 = 18.84m

Area = pi x 3cm x 3cm = 28.27m2

Calculate the circumference and area of given triangle.

Circumference of circle = 2πr

Area of circle = πr²

Radius,r = diameter/2 => 6/2 = 3 m

( i ) As we know that formula of circumference,

Circumference of circle = 2πr

[tex] \bf \: \star \: putting \: the \: values[/tex]

[tex] \implies \: 2 \times 3.14 \times 3[/tex]

[tex] \implies \: 6.28 \times 3[/tex]

[tex] \implies \: 18.84 \: m[/tex]

(ii) As we know,

Area of circle = πr²

[tex] \bf \star \: putting \: the \: values[/tex]

[tex] \implies \: 3.14 \times {(3)}^{2} [/tex]

[tex] \implies \: 3.14 \times 9[/tex]

[tex] \implies \: 28.26 \: m {}^{2} [/tex]

Answer:

Therefore, x = 4 and y = -2.

Step-by-step explanation:

The steps are ;

[tex]8x + 14y = 4[/tex]

[tex]2(4x + 7y) = 4[/tex]

[tex]4x + 7y = 2 - - - (1)[/tex]

[tex]6x + 7y = 10 - - - (2)[/tex]

[tex](2) - (1)[/tex]

[tex]6x - 4x = 10 - 2[/tex]

[tex]2x = 8[/tex]

[tex]x = 4[/tex]

[tex]sub \: x = 4 \: into \: (1)[/tex]

[tex](1)⇒[/tex]

[tex]4(4) + 7y = 2[/tex]

[tex]16 + 7y = 2[/tex]

[tex]7y = - 14[/tex]

[tex]y = - 2[/tex]

Answer:

Step-by-step explanation:

6y-42=4y

2y=42

y=21

6x-12=2x+36

4x=48

x=12

Answer:

Actually the one that you have marked is the answer

Step-by-step explanation:

Divide 2 by 5 and get 0.4. Next in each answer choice divide each number by each other beginning with the lowest number by the highest number.

Answer:

12.12

Step-by-step explanation:

SO its A special right triangle which means its. 30,60,90 triangle

we know the bigger leg is 14

so we divide that by 2 since

leg 1 = Unknown (y)

leg 2= 2y=14

Since leg 1 is basically half of leg 2, we divide leg 2 by 2 and get 7

now for the hypotenuse Its just y√3 so in this case y is 7

SO when solved 7√3 you’d get 12.12 rounded  

Answer:

Its (5 , 1 )

Step-by-step explanation:

because it is

Answer:

(2,-2) because the x axis goes from right to left and the y axis goes up and down

Step-by-step explanation:

Answer: gtne

Step-by-step explanation:

Answer:

i think d or a

Step-by-step explanation:

Answer:

4th option

Step-by-step explanation:

Step-by-step explanation:

Sum of angles in a quadrilateral = 360°.

=> y + 121° + 75° + 69° = 360°.

=> y = 95°.

Answer: 196

hope it helped

Answer:

x = -2, -6

Step-by-step explanation:

I used a site called tiger algebra to solve this so I don't know how, but I hope this helped you anyway. :)

Answer: 17 seconds

Step-by-step explanation:

Here's the complete question:

The total distance in centimeters a toy robot moves varies directly with the time in seconds. The toy robot moves a total distance of 264 centimeters in 11 seconds. What is the time in seconds the toy robot moves when the total distance is 408 centimeters?

First, we find the constant of proportionality which will be:

y = kx

where y = Distance; x = time

264 = 11k

k = 264/11

k = 24

The time in seconds the toy robot moves when the total distance is 408 centimeters will be:

y = kx

408 = 24x

x = 408/24

x = 17

Answer:

17 secs

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A speck of dust is only milimeters large so its A

Answer:

90000

Step-by-step explanation:

this baby has big brain

Answer:

-3

Step-by-step explanation:

:)

Answer:

p

Step-by-step explanation:

Answer:

5 marbles

Step-by-step explanation:

A bag contains

8 white marbles

6 red marbles

4 blue marbles.

Total number of marbles is :

8 + 6 + 4

= 18 marbles

Based on this current proportion

The Probability of choosing a blue marble = Number of blue marbles/ Total number of marbles

In order for the Probability of choosing a blue marble to be 1/2

The number of blue marbles has to be:

= 18 marbles × 1/2

= 9 blue marbles

From the question we have 4 blue marbles, hence:

9 blue marbles - 4 blue marbles

= 5 blue marbles

Therefore, 5 blue marbles must be added to the bag so that the probability of choosing a blue marble is 1/2.

Answer:

The actual answer would be 10 marbles.

Step-by-step explanation:

1. we had started off by adding 8+4+6 to get the total number of marbles. If we do that, we will get that there are 18 marbles in total.

2. here is where the others went wrong. If we say that we need 5 blue marbles to get 9/18 blue marbles, you are wrong. This is because we have to add 5 to the total number of marbles as well. Then we get 9/23 marbles. which is clearly not 1/2,

3. However, if we multiply 5 by 2, we get 10 blue marbles. if we add 10 to the original 18, we get 28 total marbles. Now if we add 10 to 4 we get 14 blue marbles.

SUCCESS!!!

14/28 blue marbles is 1/2, therefore we must add 10 blue marbles.