Write: y - 6 = -12(x+4) in slope intercept form-

Answer:

12 pi

Step-by-step explanation:

volume of sphere = 4/3 pi r2

4/3 pi 3 x 3

12 pi unit square

Answer:

True statements are:

(i) The lane 2 turtle is faster than the lane 1 turtle.

(iv) The lane 1 turtle has a head start.

Step-by-step explanation:

Now we proceed to check the value of truth for each choice:

(i) The lane 2 turtle is faster than the lane 1 turtle.

Speed of the turtle is the slope of the linear function, the greater the slope, the faster the turtle. Hence, the lane 2 turtle is faster than the lane 1 turtle. (Answer: TRUE)

(ii) At 3 seconds, the turtle in Lane 2 is 12 feet from start.

Let the position of the turtle in Lane 2 be represented by [tex]d = 3\cdot t[/tex]. For [tex]t = 3\,s[/tex], then [tex]d = 3\cdot (3) = 9[/tex]. Hence, the turtle in Lane 2 is just 9 feet from the start. (Answer: FALSE)

(iii) At 12 seconds, the turtle in Lane 1 is 6 feet from the start.

Let the position of the turtle in Lane 1 be represented by [tex]d = 6 + t[/tex]. For [tex]t = 12\,s[/tex], then [tex]d = 6+12 = 18[/tex]. Hence, the turtle is 12 feet from the start. (Answer: FALSE)

(iv) The lane 1 turtle has a head start.

According to graph, Lane 1 turtle starts at a position of 6 feet, whereas Lane 2 turtle start at a position of 0 feet. Hence, Lane 1 turtle has a head start. (Answer: TRUE)

Answer:

[tex]x=106[/tex]

Step-by-step explanation:

[tex][Kindly\ find\ the\ attachment\ for\ better\ understanding.]\\We\ are\ given,\\AC\ and\ BD\ are\ two\ parallel\ lines\\\angle CAO=34\\\angle OBD=72\\Lets\ draw\ a\ third\ line\ from\ Point\ O\ parallel\ to\ the\ two\ lines.\\Lets\ denote\ it\ as\ OE.\\\\We\ know\ that,\\'When\ two\ parallel\ lines\ are\ cut\ by\ a\ transversal,\ the\ pairs\ of\ Alternate\\ Interior\ Angles\ formed\ are\ equal'.\\Hence,\\Considering\ parallel\ lines\ AC\ and\ EO,\\\angle CAO=\angle AOE=34\\Similarly,\\[/tex]

[tex]Considering\ parallel\ lines\ EO\ and\ BD,\\\angle EOB = \angle OBD= 72\\Now,\\As\ \angle x\ or \angle AOB=\angle AOE+ \angle EOB,\\\angle x= \angle AOB=34+72=106[/tex]

Answer:

105 for all of them

Step-by-step explanation:

1) take 180-75, because of opposite angles.

105

2)again, 105 because we know the opposite angle is 75

3)105

again, opposite angles.

Answer: 11.66ft

Step-by-step explanation:

6squared=36+100=136

square root of 136= 11.66ft

Answer:

Division :)

Hope this helps!

Answer:

123

Step-by-step explanation:

BODMAS

1.multiply 20 by 2

2.20 ×2

3. 40+22+40+20+43=123

Answer:

123 :)

hope this helped!

Answer:

9

Step-by-step explanation:

8+7=15

15-6=9

Step-by-step explanation:

x+6=8+7

-6 -6 -6

x= 2+1 i think this is the answer

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

A is the answer

Answer:

£15000

Step-by-step explanation:

Lucy, Mary and Nora's father leaves them an inheritance in the

ratio 5: 3:2. Mary gets £4500, How much was there in total?

Giving the ratio of inheritance 5:3:2

5+3+2 = 10

Mary's ratio = 3

Marys share = £4500

Total share x can be gotten as thus

3/10 × x = 4500

3x/10 = 4500

3x = 45000

x = 45000/3

x = 15000

Hence £15000 was there in total

Answer:

lines that intersect

Step-by-step explanation:

Answer:

when two lines meet and form a right angle

Step-by-step explanation:

if you take two segments and cross them to form a 90 degree angle, you'll have four 90 degree angles, known as a perpendicular line.

Answer:

if x=-4 & y=-14...then x=9 & Y= -1. which is minus 10

Step-by-step explanation:

-4 is 10 under -14. If X=9 then Y= -1.

Answer:

365

Step-by-step explanation:

2,136 divided by 6

Answer:

jaansj

jssksks

wwkwkww

Answer:

15 servings

Step-by-step explanation:

divide the numbers

Answer:

Step-by-step explanation:

slope=(9-3)/(-7-6)=-6/13

reqd eq. of line is

y-3=-6/13(x-6)

Answer:

y-3=-6/13(x-6)

Answer:

a = (0, -7)

b = (1, 0)

c = (-9, 0)

d = (1 - 3√2 / 2, 0)  ≈ (-1.1213, 0)

e = (1 + 3√2 / 2, 0) ≈ (3.1213, 0)

Step-by-step explanation:

----- points d and e ----

d and e we can find by solving for y = 0:

2x² - 4x - 7 = 0

2x² - 4x = 7

x² - 2x = 7/2

x² - 2x + 1 = 9/2

(x - 1)² = 9/2

x - 1 = √(9/2)

x = 1 ± 3√2 / 2

x ≈ 1 ± 2.1213

x ≈ 3.1213, -1.1213

So d is at approximately (-1.1213, 0), and e (3.1213, 0)

--- point a ---

Much easier to do, we simply need to solve for x = 0:

y = 2 × 0² - 4 × 0 - 7

y = -7

So point a is at (0, -7)

--- points b and c ---

We can find these in a couple of interesting ways. We've actually found b already, as it's halfway between points d and e.  You'll recall that those are calculated as 1 ± 3√2 / 2, meaning that the midway point between them is just 1.

An alternate way of doing it is to apply some basic calculus, finding the point at which the curve has a slope of zero, which will give us b's x coordinate:

y = 2x² - 4x - 7

dy/dx = 4x - 4

0 = 4x - 4

4x = 4

x = 1

So b is equal to (1, 0).

To find c, we simply plug that x = 1 into the original function:

y = 2x² - 4x - 7

y = 2(1)² - 4(1) - 7

y = 2 - 4 - 7

y = -9

so c lies on (0, -9)

a = (0, -7)

b = (1, 0)

c = (-9, 0)

d = (1 - 3√2 / 2, 0)  ≈ (-1.1213, 0)

e = (1 + 3√2 / 2, 0) ≈ (3.1213, 0)

A coordinate system in geometry is a method for determining the precise location of points or other geometrical objects on a manifold, such as Euclidean space, using one or more numbers, or coordinates.

Given

----- points d and e ----

d and e we can find by solving for y = 0:

2x² - 4x - 7 = 0

2x² - 4x = 7

x² - 2x = 7/2

x² - 2x + 1 = 9/2

(x - 1)² = 9/2

x - 1 = √(9/2)

x = 1 ± 3√2 / 2

x ≈ 1 ± 2.1213

x ≈ 3.1213, -1.1213

So d is at approximately (-1.1213, 0), and e (3.1213, 0)

--- point a ---

Much easier to do, we simply need to solve for x = 0:

y = 2 × 0² - 4 × 0 - 7

y = -7

So point a is at (0, -7)

--- points b and c ---

We can find these in a couple of interesting ways. We've actually found b already, as it's halfway between points d and e.  You'll recall that those are calculated as 1 ± 3√2 / 2, meaning that the midway point between them is just 1.

An alternate way of doing it is to apply some basic calculus, finding the point at which the curve has a slope of zero, which will give us b's x coordinate:

y = 2x² - 4x - 7

dy/dx = 4x - 4

0 = 4x - 4

4x = 4

x = 1

So b is equal to (1, 0).

To find c, we simply plug that x = 1 into the original function:

y = 2x² - 4x - 7

y = 2(1)² - 4(1) - 7

y = 2 - 4 - 7

y = -9

so c lies on (0, -9)

To learn more about co-ordinate geometry refer to:

https://brainly.com/textbook-solutions/q-use-figure-shown-exercises-14-17-example-14

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Answer:

D.) -3

Step-by-step explanation:

N is greater than -4 and less than -2.

Therefore, -3 is N since it is between -4 and -2.

Answer:

Youth ticket = $21

Adult ticket = $39

Step-by-step explanation:

We'll call adult tix x and child tix y. Based on the information given, we can make these two equations:

7x + 12y = 525

x - y = 18

Start by putting x in terms of y with that second equation

x = y + 18

Then substitute that into the first equation:

7(y+18) + 12y = 525

Then solve for y

7y + 126 + 12y = 525

19y = 399

y = 21

If we want the adult price as well, we know

x - 21 = 18

x = 39

Checking the math:

7(39) + 12(21) = 273 + 252 = $525

Answer:

a1) 65

a2) 25

a3) 45

Step-by-step explanation:

all triangle equal to 180

Answer:

65

25

45

Step-by-step explanation:

1) green triangle 180 - 50 - 65 = 130 - 65 = 65

2) purple triangle 180 - 130 - 25 = 50 - 25 = 25

3) red triangle 180 - 45 - 90 = 90 - 45 = 45

If 2 of 12 eggs are cracked, then 10 are not cracked.

SO

10/12=5/6=about 0.83

0.83 of total eggs not cracked is also equivalent to 83 percent as asked in the problem :)

Answer:

Y=0.35x+18.99

Step-by-step explanation:

Y = total cost

X = number of letters

Answer:

y= 0.35x+18.99

m= 0.35

18.99= 0.35(0)+b

18.99= 0+b

18.99=b

Answer:

x=5 and y=5

Step-by-step explanation:

I hope this helps

Answer:

x=5 y=5

Step-by-step explanation:

hope this is what ur looking for

x<-4 or x>9

hope this helps

have a good day

Answer:

D. (2, -1)

Step-by-step explanation:

I took the test and got it right.

Triangle QRS is rotated 180° about the origin. On a coordinate plane, triangle Q R S has points (-4, 1), (-4, 4), (2, 1). So, the coordinates of point S will be (2, -1).

Let the point be having coordinates (x,y).

If the point is in first quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

If the point is in the second quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

Triangle QRS is rotated 180° about the origin.

On a coordinate plane, triangle Q R S has points (-4, 1), (-4, 4), (2, 1).

So, the coordinates of point S will be (2, -1).

Learn more about the rotation of a point with respect to origin here:

https://brainly.com/question/18856342

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Answer:

1. $33.00

2. $48.00

3. $3.00

4. $36.40

Step-by-step explanation:

44.00 - 25% = 33 —> $33.00

80.00 - 40% = 48 —> $48.00

9.99 - 70% = 2.997 —> (round the 7 up because it's above 5) $3.00

52.00 - 30% = 36.4 —> $36.40

Answer:

a, 3, 8, c

Step-by-step explanation: