Complete the point- equation of the line through (5,2) and (6,-3)

Answer:

y-(-8) = 7(x-3) or

y+8 = 7(x-3)

Answer:

x = 3.86

a = 5.86

Step-by-step explanation:

From the triangles attached,

By applying cosine rule in triangle 1,

cos(50)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

cos(50)° = [tex]\frac{x}{6}[/tex]

x = 6cos(50)°

x = 3.86

Now we apply sine rule in the second triangle,

sin(23)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

sin(23)° = [tex]\frac{a}{15}[/tex]

a = 15sin(23)°

a = 5.86

Answer:

294 cars

Step-by-step explanation:

hope this helpt touch thanks it my birth day

Answer:

Step-by-step explanation:

the answers below are hard to read

we have 4 cm/year  and the realtor wants to convert in mm/day

4 cm=40 mm  this is our first step

1 year=365 days

we will have 40mm/365days

or 4cm/1 year x 10 mm/365 days

Answer:

What is the constant variation of Y =- 2 3x?

The constant of variation, k , is 23 .

What is the constant variation of Y 1 2x?

The constant of variation, k , is 12 .

Step-by-step explanation:

yeet yeet yeet

Answer: No the ratios are NOT related  

Step-by-step explanation:

Answer:

apples: 2, 4, 6, 8

oranges: 5, 10, 15, 20

Step-by-step explanation:

what it looks like to me is that they are first counting by 2's, then 5's. hope this helps somehow

Step-by-step explanation:

First, you want to find the change in the top collum, and then the bottom collum.

The top collum seems to go up by 2, so it would be 2,4,6,8

The bottom collum seems to go up by 5 so it would be 5,10,15,20

And boom! there's ur answer!

Answer:

If the slope is positive it is increasing if the slope is negative it is decreasing :)

Example:

Y=mX+b

If m is positive it is a positive slope

Answer:

(-3, 3/2)

Step-by-step explanation:

Given the inequality function y-2x<-3, to get the solution, we will need to find the x and y-intercept of the inequality function

y-intercept occurs at x = 0

Substitute x = 0  into the expression

y - 2(0) < -3

y < -3

Find the x-intercept by substituting y = 0 into the expression

0 - 2x < -3

-2x < -3

x > 3/2

Hence the ordered pair is (x, y) = (-3, 3/2)

Step-by-step explanation:

The sequence is an AP with common difference -7.

Therefore the next 2 terms are 1 and -6.

The next two terms are ( 1, - 6 ) so the correct answer is option D.

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.

The next two numbers will be calculated as:-

22, 15, 8, __, __

Common difference = 15 - 22 = -7

Add this common difference in 8 to find the next term.

Next term = 8 - 7 = 1

Again add -7 to 1 to find the next term.

Next term = 1 - 7 = -6

Therefore the next two terms are ( 1, - 6 ) so the correct answer is option D.

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Answer:

⇒  Draw a line segment AB=5.5cm

⇒  Take A as a center and draw an angle of 45

o

.

⇒  Cut off AD=5cm

⇒  Take D as a center with radius 4.5cm and draw an arc.

⇒  Take B as a center with radius 3.5cm and draw an arc, which meets previous arc at point C.

⇒  Join BC and CD.

∴  ABCD is a required quadrilateral.

Step-by-step explanation:

hope this helps!

Step-by-step explanation:

3 supervisors = 60 employees

=> 264 supervisors = 60 * (264/3) = 5,280 employees. (C)

Step-by-step explanation:

-5.9-2.72

=-2.88

it a write answer

Answer:

A is located at (4,1)

Step-by-step explanation:

The first number will always be on the x-axis and the second will always be on the y-axis. For example: (x,y) so A is (4,1) , B is (-4,1), C is (1,4) and D is (-1,4).

Hope this helps! ;)

Final Answer: Point A

Steps/Reasons/Explanation:

Question: Which point is located at [tex](4, 1)[/tex]?

The x-axis would be 4 and the y-axis would be 1. The x-axis is horizontal and the y-axis is vertical.

For the x-axis, it tells you the markings of the numbers, so moving to the right would be positive and left would be negative.

For [tex](4, 1)[/tex] we would go four to the right and one up. Point A is located there.

~I hope I helped you :)~

Answer:

The baseball reached 9 feet high above the ground

Step-by-step explanation:

The given quadratic function representing the position of the baseball above ground is p(t) = 1/2·g·t² + v₀·t + p₀

Where;

t ≥ 0

g = -32 ft./sec²

v₀ = The initial velocity

p₀ = The initial position

Given that when the ball is thrown, we have;

The initial, straight up, velocity, v₀ = 16 ft./sec

The initial position, p₀ = 5 ft.

Substituting the above values in the quadratic function representing the position of the baseball above ground, we have;

p(t) = 1/2·(-32)·t² + 16·t + 5 = 16·t - 16·t² + 5

At the maximum point, the rate of change of the height with time = 0, therefore;

dp(t)/dt = 0 = d(16·t - 16·t² + 5)/dt = 16 - 32·t

16 - 32·t = 0

16 = 32·t

t = 16/32 = 0.5 seconds

Therefore, the time takes to reach the maximum height = 0.5 seconds

The height (maximum) reached in 0.5 seconds is given as follows;

h(t) = 16·t - 16·t² + 5, from which we have;

h(0.5) = 16 × 0.5 - 16 × (0.5)² + 5 = 9

Therefore, the height baseball reached = 9 ft. above ground

Answer:

114°

Step-by-step explanation:

because they are parallel they have the same measure

The measure of angle 3 is equal to 114° when angle 7 is 114° by the corresponding angle property.

The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.

According to the definition of corresponding angles, when two parallel lines cross the third one, the angles that are in the same relative position at each intersection are referred to as being corresponding angles to one another.

In the image, it is given that angle 7 is 114 degrees. As in the image, the two parallel lines a and b are cut by the transversal line. The given angle 7 is 114°.

From the correspondence angle property, the two angles on the same side of the transversal line will be equal to each other. The angle 3 will be calculated as:-

∠7 = ∠3

114 =  ∠3

Therefore, angle 3 will be 114°.

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Answer:

=

Step-by-step explanation:

Round off 12 and get 10

Answer:3

Step-by-step explanation:

-3--9

-3+9=6

Answer:

Its D

Step-by-step explanation:

100 on quiz

Answer:

it the third one

Answer:

(c-5)(3+4c)

Step-by-step explanation:

3c-15+4c^2-20c

4c^2-17c-15

Berry Method

4*(-15)=-60

What two numbers multiply by each other to get -60 but add up to -17

-20 and 3

[tex]\frac{(4c+3)(4c-20)}{4}[/tex]

(4c+3)(c-5)

Answer:

2 3/5

Step-by-step explanation:

Answer:

A. y = 5/4x - 3

B. slope is 5/4

C. y intercept is -3

D. Increasing

Step-by-step explanation:

5x - 4y = 12

Slope intercept form: y = mx + b

4y = 5x - 12

y = 5/4x - 3

Slope is 5/4

Y intercept is when x = 0 so it is -3

the slope is positive, therefore the line is increasing

Answer:

[tex]x-200+y[/tex]

Step-by-step explanation:

We can determine the algebraic expression that represents her current available credit by first finding her new balance using the formula:

Previous balance - Payments + Total Purchases = New balance

where, previous balance = $1000; payments = $800; total Purchases = y

New balance = [tex]1000-800+y[/tex]

Next, to find her Credit balance or current available; we use the formula; Credit line - New balance

where credit balance = x; new balance =  [tex]1000-800+y[/tex]

Current available credit = [tex]x-200+y[/tex]

Answer:

The correct option is;

B, C, and D

Step-by-step explanation:

The labelled letters on the number line are;

A = 2 units to the left of the point 0 = - 2 units

B = 1 units to the left of the point 0 = - 1 unit

C = Located at the point 0

D = 1 units to the right of the point 0 = +1 unit

Therefore, the letters that have their opposites labelled are;

Given that we have;

The opposite of B = -1 is +1 = D

The opposite of D = +1 is -1 = B

The opposite of C = 0 is 0 = C

The letters which have their opposites labelled are B, C and D

Answer:

The answer is D I'm not sure

Answer:

127 degrees

Step-by-step explanation:

When you add up all three angles of a triangle, the sum will always be 180 degrees. Just add up the two known angles and that will equal Angle ABC because a straight line also equals 180 degrees

Answer: D

Step-by-step explanation:

Answer:

Step-by-step explanation:

y= -2x+6

Y intercept is 6

X intercept is 3