1. Write down the gradient of the line joining the points (2m, n) and (3, -4).
2.Find the value of n if the line is parallel to the X-axis
3.Find the value of m if the line is parallel to the Y-axis.

Answer:

[tex]5 {x}^{2} - 11x + 6 \\ 5 {x}^{2} - (5 + 6)x + 6 \\ 5 {x}^{2} - 5x + 6x + 6 \\ 5x(x - 1) - 6(x - 1) \\ (5x - 6)(x - 1)[/tex]

Answer:

B. Two-thirds x + 17

Step-by-step explanation:

Let

x = number of baseball cards his brother has

two-thirds of the number of cards in his brother's baseball card collection = 2/3x

Barry = 2/3x + 17

A. Two-thirds x minus 17

= 2/3x - 17

B. Two-thirds x + 17

= 2/3x + 17

C. 17 x minus two-thirds

= 17x - 2/3

D. 17 x + two-thirds

= 17x + 2/3

The correct answer is

B. Two-thirds x + 17

Answer:

It's B

Step-by-step explanation:

I got a 100 on my test

Answer:

Step-by-step explanation:

Total surface area is the area of the net.

The rectangles have area:

The triangles have area:

Total area is:

Correct choice is C

Answer:

C. 152 square units

Step-by-step explanation:

I'll do the rectangles first because they are the easiest.

8(5)=40. There are 2 of those rectangles, so multiply by 2: 80.

6(8)=48. Add that to 80, you get 128.

The two triangles actually make a rectangle, so to save work, just multiply the base by the height: 6(4). You get 24.

Add them all up, and you get 152.

Hope this helps!

Answer:

(–3, 5) and (–1, 9)

Step-by-step explanation:

if you just plug the numbers in they fit :)

The solution of the system of equations is (–3, 5) and (–1, 9).

Inconsistent System

For a system of equations to have no real solution, the lines of the equations must be parallel to each other.

Consistent System

1. Dependent Consistent System

For a system of the equation to be a Dependent Consistent System, the system must have multiple solutions for which the lines of the equation must be coinciding.

2. Independent Consistent System

For a system of the equation to be an Independent Consistent System, the system must have one unique solution for which the lines of the equation must intersect at a particular.

The solution of a system of equations is the point where the line of the equations intersects, therefore, the solution of the system of equations is (–3, 5) and (–1, 9).

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Answer:

Maximum at (-5, 3)

Step-by-step explanation:

The quadratic equation is in vertex form, which specifically shows the vertex.

Since the a is negative, you get a maximum y value of 3.

Vertex form: y=a(x-h)^2+k

Answer:

1) Less than

2) greater than

Step-by-step explanation:

Equation of the first line:

(y+7)/(-13+7) = x/-1

(y+7))/-6 = -x

y+7 = 6x

y= 6x - 7

Equation of the second line:

A (4/3,0) ; B (0,8)

y/8 = (x-4/3)/-4/3

y/8 = (x-4/3) * -3/4

y/8 = -3/4x + 1

y = -6x + 8

Answer:25

Step-by-step explanation: Subtract 7 from 2, you get -5. then multiply both sides of the equation by -5 ( to make -1/5n to n) and you get n=25

Answer:

Step-by-step explanation:

Answer:

Sequence = 120

Step-by-step explanation:

Given

6 rolls of a die;

Required

Determine the possible sequence of rolls

From the question, we understand that there were three possible outcomes when the die was rolled;

The outcomes are either of the following faces: 1, 2 and 3

Total Number of rolls = 6

Possible number of outcomes = 3

The possible sequence of rolls is then calculated by dividing the factorial of the above parameters as follows;

Sequence = \frac{6!}{3!}

Sequence = \frac{6 * 5 * 4* 3!}{3!}

Sequence = 6 * 5 * 4

Sequence = 120

Hence, there are 120 possible sequence.

Step-by-step explanation:

Hope this helps

Answer:

24

Step-by-step explanation:

Answer:

0.4

Step-by-step explanation:

consider this like some lines overlapping each other.

one line (A) is 0.5 long, the other (B) 0.4 long.

together they are 0.8 long.

that means that they overlap at a length of 0.1 (they share a segment 0.1 long).

of the combined line of 0.8 that has 0.1 of a joined segment, the complimentary part of B is therefore 0.4 (0.8 minus the original length of B).

Answer:

= r²−4r+3

Step-by-step explanation:

(r - 3) (r - 1)

(r x r) + (r x -1) + (-3 x r) + (-3 x -1)

r² + - r - 3r + 3

= r²−4r+3

Answer:x intercept is where the line is crossing the x axis or where y=0

y intercept is where the line crosses the y axis or where x=0

to find them, set other ting to zero

3/5x+1/3y=1/15

xintercept, set y=0

3/5x+1/3(0)=1/15

3/5x+0=1/15

3/5x=1/15

times 5/3 both sides

x=1/9

xintercept is x=1/9

yintercet

set x=0

3/5(0)+1/3y=1/15

0+1/3y=1/15

1/3y=1/15

times 3/1 both sides

y=1/5

yintercept is y=1/5

xint is x=1/9

yint is y=1/5

Step-by-step explanation:

The equation of line is ( 3/5 )x+ ( 1/3)y = ( 1/15 ) , where x-intercept of the line is ( 1/9 , 0 ) and the y-intercept of the line is ( 0 , 1/5 )

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

( 3/5 )x+ ( 1/3)y = ( 1/15 )

To find the x-intercept of the line, we set y = 0 and solve for x:

3/5x + 1/3(0) = 1/15

3/5x = 1/15

x = (1/15) ÷ (3/5) = 1/9

So the x-intercept of the line is (1/9, 0)

To find the y-intercept of the line, we set x = 0 and solve for y:

3/5(0) + 1/3y = 1/15

1/3y = 1/15

y = (1/15) ÷ (1/3) = 1/5

So the y-intercept of the line is (0, 1/5)

Hence , the equation of line is solved

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Answer:

Step-by-step explanation:

Let the time taken to reach 12,000 feet = x

Distance traveled in 1 minute = 2000 ft

Distance traveled in 'x' minute = 2000 * x = 2000x

30,000 - 2000x = 12000

Add 2000x to both sides

30,000 = 12000 + 2000x

Now subtract 12,000 from both sides

30000 - 12 000 = 2000x

2000x =  18 000

Divide both sides  by 2000

x = 18000/2000

x = 9 minutes

Answer:

<-28, -8>

Step-by-step explanation:

you multiply the values by 4 because that's what the question tells you to do.

if <-7,-2>=u and it's asking for 4u, then the answer is the solution to the equation 4(<-7,-2>)

Answer:

60

Step-by-step explanation:

the two angles are equal angle x and the one opposite

=180-40

=120 ÷2

=60

Answer is

z = 70

x = 70

Step-by-step explanation:

z is also equal to x because two sidess are equal

40 + x + x =180

40 + 2x = 180

2x = 140

x =70

so x and z are 70 each

Answer:

a) The greatest number that divides 36, 45, and 63 without leaving a remainder is 9

b) The greatest number which exactly divides 90, 120, and 150 is 30

c) The greatest capacity of the bucket is 10 liters

d) The greatest number of people to whom the items can be distributed equally is 40 people

ii) 2 kg of wheat flour, 3 kg of corn and 4 kg of rice

e) The greatest number of children to whom the 48 orange, 80 bananas, and 144 apples can be distributed equally is 16

ii) 3 oranges, 5 bananas and 9 apples each

f) 5 mangoes at a time from the basket containing 120 mangoes

7 mangoes at a time from the basket containing 168 mangoes

g) The greatest length of each squared marble is 2 m

Step-by-step explanation:

a) The greatest number that divides 36, 45, and 63 without leaving a remainder = The highest common factor of 36, 45, and 63, which is given as follows;

36 = 9 × 4

45 = 9 × 5

63 = 9 × 7

Therefore, The greatest number that divides 36, 45, and 63 without leaving a remainder  = The highest common factor of 36, 45, and 63 = 9

b) 90 = 30 × 3

120 = 30 × 4

150 = 30 × 5

The greatest number which exactly divides 90, 120, and 150 is 30

c) The factors of the volumes are;

50 l = 10 × 5 l

60 l = 10 × 6 l

70 l = 10 × 7 l

Therefore, the greatest capacity of the bucket = 10 liters

d) The masses of the items are

The factors of 80 = 40 × 2

120 = 40 × 3

160 = 40 × 4

Therefore the items can be distributed equally to 40 people

ii) Each person gets 2 kg of wheat flour, 3 kg of corn and 4 kg of rice

e) 48 = 16 × 3

80 = 16 × 5

144 = 16 × 9

Therefore, the greatest number of children = 16

ii) Each child gets 3 oranges, 5 bananas and 9 apples

f) The factors of 120 = 24 × 5

168 = 24 × 7

Therefore;

The greatest number of mangoes which is to be taken out of the basket with 120 mangoes = 5 mangoes each (24 times)

The greatest number of mangoes which is to be taken out of the basket with 168 mangoes = 7 mangoes each (24 times)

g) The area of the floor = 12 m × 10 m = 120 m²

The factor of 120 m² which is a perfect square is 4 therefore, we have;

The side length of each squared marble, s = √4 = 2

The side length of each squared marble, s = 2 m

Answer:

No

Step-by-step explanation:

No we cannot say that eating strawberries causes freckles. The question says that the study showed a strong positive correlation. The answer is no because a positive correlation does not mean that there is a causation. When two things are said to correlate, it does not mean that one causes the other, correlation between two things could be as a result of another third variable that affects the both of them. The lurking variable here is going to be sunlight. this is because sunlight exposure affects both variables by causing increases  in the growth of strawberries and freckles.

The answer to whether eating strawberries causes freckles is; No, it doesn't cause freckles

A lurking variable is an explanatory variable that was not considered in a​ study, but yet affects the value of the response variable in the study.

In this question, the lurking variable is going to be sunlight due to the fact that sunlight exposure affects both variables by causing increase in the growth of strawberries and freckles.

Thus, we can conclude that there is no way we can say that eating strawberries causes freckles due to the fact that a positive correlation does not mean that there is a causation.

Read more about Lurking variables at; https://brainly.com/question/14289293

Answer:

D=-90+22/7

Step-by-step explanation:

D= 22/7×d-90

D= -90+22d/7

Answer:

15.66

Step-by-step explanation:

Answer:

30 ,,,,,,,, I hope it's helpful for you

3 text messages = 5 cents

So,

1 text messages

= 5 cents/3

= 5/3 cents

So,

150 text messages

= 150 × (5/3 cents)

= 50 × 5 cents

= 250 cents

Answer:

Verify x+y+z)=(x+y)+z for the following values of x,y,z

(i)x=3/4,y=5/6,z=-7/8(

ii)x=2/; 3,y=-5/6,z=-7/9(

iii)x=3/5,y=-6/9,z=2/10(

iv)x=; - 3/5, y = - 7/10, z = - 8/15 To Verify x+(y+z)=(x+y)+z (i)x=3/4,y=5/6,z=-7/8 LHS = 3/4 + (5/6 + (-7/8)) = (3/4) + (5/6 -7/8)= (3/4) + ((20-21)/24) = 3/4 - 1/24 =(18-1)/24 = 17/24

RHS = (3/4 + 5/6) + (-7/8)= (9 + 10)/12 - 7/8 = 19/12-7/8 = (38-21)/24 = 17/24

LHS = RHS = 17/24 (ii) * x = 2/3, y = - 5/6, z = - 7/9 LHS = 2/3 + (-5/6+ (-7/9) = 2/3 + (-5/6 - 7/9) = 2/3 + (-29/18) = 2/3 - 29/18

= 12/18 - 29/18 = -17/18

RHS = (2/3 + (-5/6))+(-7/9) = (2/3 - 5/6) - 7/9 = (-1/6) - 7/9 = -1/6 - 7/9 = -3/18 - 14/18 =

-17/18

LHS = RHS....

Hence verified..

Step-by-step explanation:

hope it helps u no notebook

.???

Answer:

We can calculate the price with both  sales by multiplying the 75.5 units of money by both percentages (to multiply them, we divide them by 100 first):

75.5 * 0.24 * 0.6 [tex]\approx.[/tex] 10.8

Answer:

The answer is "180".

Step-by-step explanation:

Please find the complete question in the attached file.

Let's

x = ounces solution of A

y = ounces solution of B

[tex]x + y = 180 \\\\y = 180 - x\\\\0.60x + 0.85y = 0.75(180)\\\\0.60x + 0.85y = 135\\\\[/tex]

Multiply both sides of the equation by 100 to remove the decimal points.

[tex]60x + 85y = 13500\\\\60x + 85(180 - x) = 13500\\\\60x + 15300 - 85x = 13500\\\\-25x = -1800\\\\x = 72\ \ ounces\\\\y = 180 - 72 \\\\y = 108 \ \ ounces\\\\[/tex]

Answer: Maybe 5.7

Step-by-step explanation: To solve this we are going to need to understand the pythagorean theorem. we can use it as a way to find this certain side. if we put these numbers in the theorem, we get a^2+49=81 (7^2=49 and 9^2=81), we can subtract 49 on both sides and get 32. We would also need to take out the power of 2 on the side of the a^2, so you would do the square root of a^2, which would just become a and the square root of 32, which if you crunch the numbers on a calculator. You would get 5.656..... then you round it to the nearest tenth and get 5.7.

Step-by-step explanation:

The missing length of the triangle will be more than (9-7)=2 and less than (9+7)=16

so, 2<a<16

Answered by Gauthmath

RU is a line which needs to equal 180 degrees. This means angle VSR + VSU needs to equal 180.

VSU = 100

VSR = 180 - 100 = 80

Answer: VSR = 80

Answer:

∠ VSR = 80°

Step-by-step explanation:

∠ VSR and ∠ VSU are adjacent angles and sum to 180° , then

∠ VSR + 100° = 180° ( subtract 100° from both sides )

∠ VSR = 80°