a: b = 2:7
a² = 36
Work out the two possible values of b.

Answer:

the slope is 0

Step-by-step explanation:

Answer:

the answer is 0 .....,..........,..,

Answer:

(i) Not true for any cases, (ii) True for some cases, (iii) True for some cases, (iv) True for all cases.

Step-by-step explanation:

Now we proceed to check each statement in terms of concepts of function from Analytical Geometry:

(i) Two lines that have the same y-intercept and the same slope intersect at exactly one point.

False, two lines that have the same y-intercept and the same slope intersect at every point. Both lines are coincident. (Answer: Not true for any cases)

(ii) Two lines that have the same y-intercept intersect at exactly one point.

Conditionally true, two lines that have the same y-intercept intersect at exactly one point if and only if slopes are different. (Answer: True for some cases)

(iii) Two lines that have the same slope do not intersect at any point.

Conditionally true, two lines that have the same slope do not intersect at any point if and only if they share the same y-intercept. (Answer: True for some cases)

(iv) Two lines that have two different slopes intersects at exactly one point.

True, two lines that have two different slopes intersects at exactly one point no matter what y-intercepts they have. (Answer: True for all cases)

Answer:

1/8 of a pound

Step-by-step explanation:

(3/4) ÷ 6 = .125 = 1/8

Answer:

Step-by-step explanation:

The closest to sea level is - 11. The minus sign indicates that you are below 0 or the level of the sea at that location. So what is true and what isn't?

Grasshopper meadow is not closest to sea level. At 15 feet it is 4 feet more above the closest one at - 11. False

Echo point is the highest above sea level. It is 45 feet above sea level. This statement is also False.

Answer:

A and F

Step-by-step explanation:

Answer:

the other information to prove XYWZ is a parallelogram is

XY // WZ

Step-by-step explanation:

The other information needed to prove XYWZ is a parallelogram is

XW=YZ

because every parallelogram have four equal sides

First begin with the interest formula.

Interest = Principal x Rate x Time

The $250 is the principal is the amount of money invested.

The rate is 4% which translates to the decimal .04.

The time is 5 years.

So we have I = (250)(.04)(2).

Multiplying, (25)(.04) is 10 and we have 10(2) which is 20.

This means that the interest earned in 2 years is $20.

Answer:

I would say 45

Step-by-step explanation:

180-90=90

90/2=45

Answer:

2/1

Step-by-step explanation:

8/4 which is also 2/1

Answer:

The answer is the last one!! 3/14

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

5^2-3^2=16

sqrt16=4

Answer:

A. 4

Step-by-step explanation:

hypotenuse (h) = 5

base (b) = 3

perpendicular (p) = a = ?

We know

By using Pythagoras theorem

p = √( h² - b²)

a = √( 5² - 3²)

a = √(25 - 9)

a = √ 16

a = 4

Answer:

3 2/3 is greater

Step-by-step explanation:

3 2/3 is 3.6666 while √11 is 3.32

Answer:

The coordinates of point p are:

x = -3.2

y = 9.6

Step-by-step explanation:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then if we know that L1 passes through the points (6, 5) and (10, 3) the slope of this line will be:

a = (3 - 5)/(10 - 6) = -0.5

Then this line will be something like:

y = -0.5*x + b

To find the value of b we can just replace the values of one of the points in the above equation. For example if we use the point (6, 5), this means that:

x = 6

y = 5

Then we get:

5 = -0.5*6 + b

5 = -3 + b

5 + 3 = b

8 = b

Then the equation for line L1 is:

y = -0.5*x + 8

Now, for line L2 we know that it has a gradient -3 (for linear equations, the gradient is the same as the slope)

Then line L2 has a slope equal to -3

y = -3*x + b

And we know that this line passes through the origin, (0, 0)

Then if we replace the values of that point in our equation, we get:

0 = -3*0 + b

0 = b

Then line L2 is:

y = -3*x

Then our two lines are:

y = -0.5*x + 8

y = -3*x

Now we want to find the point where these lines intersect. The lines will intersect in one point that belongs to both lines, then we can use the relation:

-0.5*x + 8 = y = -3*x

-0.5*x + 8 = -3*x

now we can solve this for x.

-0.5*x + 8 = -3*x

8 = -3*x + 0.5*x

8 = -2.5*x

8/-2.5 = x = -3.2

Now we need to evaluate one of the lines on this value, i will use line L2

y = -3*(-3.2) = 9.6

Then we can conclude that the lines do intersect in the point:

x = -3.2

y = 9.6

this point is written as: (-3.2, 9.6)

Answer:

0.25 gallons

Step-by-step explanation:

Figure out how many fluid ounces make one gallon (128) Then start by dividing 128 by 32.. You should get 4. Make 4 a decimal and get 0.25

Answer:  y = 1.125x  

Step-by-step explanation:

Divide the amount in dollars by the number of euros.

9/8 = 1.125

45/40 = 1.125

Since the constant change is 1.125, the input the  1.125 into the formula y=kx for k  to get the equation   y = 1.125x  

Answer:

b, c, and d are solutions

Step-by-step explanation:

3x - 2 < 2 - 2x

5x - 2 < 2

5x < 4

x < 4/5

b) 1/2 < 4/5  true

c) -3 < 4/5  true

d) 2/3 < 4/5  true

Answer:

answer is 17

Step-by-step explanation:

by (a+b)(a-b) = a²-b² identity

(√20-√3) (√20+√3)

= √20²-√3²

=20-3

=17

Answer:

x=3

Step-by-step explanation:

Answer:

in mathematics,the trigonometric functions are real function which relate an angle of a right angle triangle to ratios of two side lengths.They are widely used in all sciences that are related to geometry,such as navigation,solid mechanics,celestial mechanics,geodesy,and many others.

Answer:

the answer would be 15/100= .15 *60= 9 so the tip would be 9$

Answer the tax would be *.00 dollars if you estimate it

Step-by-step explanation:can I get marked brainlist

Answer:

8 58/61.

Step-by-step explanation:

546/61 = 8 remainder 58

so it's 8 58/61.

Answer:

16

Step-by-step explanation:

Answer:

25ax25b= 625

Answer:

25%

Step-by-step explanation:

Let x represent Akira income and let y represent Hideo income.

Since Akira earns five-eighths of what Hideo earns, therefore Akira income is given by:

x = (5/8)y

Let a represent Akira expenses and let y represent Hideo expenses. Since Akira expenses is half of Hideo, hence:

a = (1/2)b; b = 2a

Given that Akira savings is 40% of his income, we have:

savings = income - expenses

40% of x = x - a

a = x - 0.4x

a = 0.6x

For Hideo:

Income = y, expenses = b = 2a

Savings = income - expenses

Savings = y - 2a

Savings = y - 2(0.6x) = y - 1.2x

Savings = y - 1.2(5/8)y

saving = y - 6y/8

savings = 2y/8 = 0.25y

Therefore Hideo saves 25% of his income

Answer:

[tex]4 < x < 38[/tex]

Step-by-step explanation:

[tex]21 - 17 = 4[/tex]

[tex]21 + 17 = 38[/tex]

The range of 3rd side is in between 4 to 38.

[tex]4 < side 3 < 38[/tex]

A triangle has side lengths of 21 cm and 17 cm

side 1 = 21 cm

side 2 = 17 cm

What is the relation between side of triangle?

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

Therefore,

length of side 3

[tex]21-17 < side 3 < 21+17[/tex]

[tex]4 < side 3 < 38[/tex]

Therefore the range of 3rd side is in between 4 to 38.

[tex]4 < side 3 < 38[/tex]

To learn more about the side of triangle visit:

https://brainly.com/question/20734777

Answer:

D

Step-by-step explanation:

Slope formula: m = (y2 - y1) / (x2 - x1)

First coordinate: (1, 3)

Second coordinate: (3, 9)

m = (9 - 3) / (3 - 1)

m = (6) / (2)

m = 3

Answer:

D

Step-by-step explanation:

to be a function you cannot have different y values for the same x, in B for example when x = 3 you have two different values for y (3,7) and (3,8)

D is the only choice where each value of x only has one value for y