please help with the 2 questions ive attached, i dont understand it at all

Answer:

Equation of line passing through origin and (7,2) is: [tex]y = \frac{7}{2}x[/tex]

Step-by-step explanation:

The general form of equation of line is given by:

[tex]y = mx+b[/tex]

When a line passes through origin it has no y-intercept so the equation will become

[tex]y = mx[/tex]

Slope is given by the formula

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Here,

(x1,y1) = (0,0)

(x2,y2) = (7,2)

Putting the values in the formula

[tex]m = \frac{7-0}{2-0} = \frac{7}{2}[/tex]

Putting the value of slope in equation of line

[tex]y = \frac{7}{2}x[/tex]

Hence,

Equation of line passing through origin and (7,2) is: [tex]y = \frac{7}{2}x[/tex]

Answer:

y = 2/7x

Step-by-step explanation:

ap.ex

The solution of the logarithmic functions [tex]log_9 ( \dfrac{1}{81} )[/tex] would be, - 2. Hence option b is true.

Given that,

The expression is, [tex]log_9 ( \dfrac{1}{81} )[/tex].

Used the formula of logarithmic functions that are,

[tex]log (m^n) = n log m[/tex]

And, [tex]log_a (a) = 1[/tex]

Now, simplify the given logarithmic functions by using the above formula,

[tex]log_9 ( \dfrac{1}{81} )[/tex]

[tex]log_9 ( 81 )^{-1}[/tex]

[tex]log_9 ( 9^2)^{-1}[/tex]

[tex]log_9 ( 9)^{2 \times -1}[/tex]

[tex]log_9 ( 9)^{-2}[/tex]

Apply the formula [tex]log (m^n) = n log m[/tex],

[tex]- 2 log _ 9 (9)[/tex]

Since, [tex]log_a (a) = 1[/tex]

Hence, it can be written as,

[tex]- 2 log _ 9 (9)[/tex]

[tex]- 2 \times 1[/tex] [tex]= - 2[/tex]

Therefore, the solution is,

[tex]log_9 ( \dfrac{1}{81} ) = - 2[/tex]

To learn more about logarithms visit:

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Answer:

a) Equation is: 3x+4=22

b) Solving the equation we get the number x = 6

Step-by-step explanation:

a) Equation

Let the number be x.

Translating the statement into mathematical form:

Multiply the number with 3 i.e 3x

Add four i.e 3x+4

I get twenty two means: 3x+4=22

So, Equation is: 3x+4=22

b) Solve the equation:

3x+4=22

subtracting 4 on both sides

[tex]3x+4=22\\3x+4-4=22-4\\3x=18[/tex]

Divide both sides by 3

[tex]\frac{3x}{3}=\frac{18}{3}\\x=6[/tex]

So, the number x = 6

Answer:

Step-by-step explanation:

Given

Solving for n

Answer:

the answer is b

Step-by-step explanation:

Answer:

2x -1

Step-by-step explanation:

x*x =2x 3-4 =-1

2x+-4

Answer:

The percentage profit of the bookshop will make on the whole is 27%.

Step-by-step explanation:

The following are given in the question:

Copies of books for sale = 650

Selling price per copy = 75

Copies sold at 5% discount = 300

Discount rate = 5%, or 0.05

Percentage profit per copy = 30%, or 0.30

To calculate cost per copy, the following formula is used:

Percentage profit per copy = (Selling price per copy – Cost per copy) / Cost per copy …….. (1)

Substituting the values into equation (1) and solve for Cost per copy, we have:

30% = (75 - Cost per copy) / Cost per copy

0.30 * Cost per copy = 75 - Cost per copy

(0.30 * Cost per copy) + Cost per copy = 75

1.30 * Cost per copy = 75

Cost per copy = 75 / 1.30

Cost per copy = 57.6923076923077

Therefore, we have:

Total cost = Copies of books for sale * Cost per copy = 650 * 57.6923076923077 = 37,500

Selling price at 5% discount = 75 * (100% - Discount rate) = 75 * (100% - 5%) = 75 * 95% = 71.25

Revenue from sales at selling price at 5% discount = Selling price at 5% discount * Number of sales at 5% discount = 71.25 * 300 = 21,375

Revenue from the remaining copies sold at 75 per copy = (Copies of books for sale - 300) * 75 = (650 - 300) * 75 = 350 * 75 = 26,250

Total revenue = Revenue from sales at selling price at 5% discount + Revenue from sales at 75 per copy = 21,375 + 26,250 = 47,625

Total profit = Total revenue - Total cost = 47,625 - 37,500 = 10,125

To calculate the percentage profit of the bookshop will make on the whole, the following formula is used:

Percentage profit on the whole = (Total profit / Total cost) * 100 ................ (2)

Substituting the relevant values form above into equation (2), we have:

Percentage profit on the whole = (10,125 / 37,500) * 100

Percentage profit on the whole = 0.27 * 100

Percentage profit on the whole = 27%

Therefore, the percentage profit of the bookshop will make on the whole is 27%.

Answer:

The correct option is;

d) CPCTC

Step-by-step explanation:

The phrase Corresponding Parts of Congruent Triangles are Congruent with the acronym CPCTC, is used as valid reasoning in the provision of a proof, after the existence of congruency between two triangles has been proven

Given that the triangles ΔDOG and ΔCAT have been proven congruent, we have that the corresponding vertices are;

Vertex D corresponds to vertex C

Vertex O corresponds to vertex A

Vertex G corresponds to vertex T

Therefore, given that ΔDOG ≅ ΔCAT, we have;

∠D ≅ ∠C by CPCTC

∠O ≅ ∠A by CPCTC

∠G ≅ ∠T by CPCTC.

Answer:

6(x + 20)

Step-by-step explanation:

you need to divide both numbers by six.

I recommend downloading photomath for a more detailed explanation and for help with math in the future.

Answer:

i think its c) asa but im not sure

Step-by-step explanation:

Complete question is;

In a hydraulic system, a 100-newton force is applied to a small piston with an area of 0.0020 m².

This hydraulic system should produce an output force of 50,000 newtons. How large an area should the output piston have?

Answer:

A2 = 1 m²

Step-by-step explanation:

Using Pascal's Law which is here applied to mechanical advantage of a hydraulic piston, we can find the area of the large piston from;

F1/A1 = F2/A2

We are given;

Force of small piston: F1 = 100 N

Area of small piston; A1 = 0.0020 m²

Force of small piston: F2 = 50000 N

Thus;

Making A2 the subject, we have;

A2 = (F2/F1)A1

A2 = (50000/100) × 0.0020

A2 = 1 m²

Answer:

y = 2/5x + 1/5

Step-by-step explanation:

y - y1 = m(x - x1)

y - 1 = 2/5(x - (-3))

y - 1 = 2/5(x + 3)

y - 1 = 2/5x + 6/5

y = 2/5x + 6/5 - 5/5 (since 1 equals to 1/1, 2/2, 3/3, etc.)

y = 2/5x + 1/5

Answer:

1. x=66

2. x=-3

Step-by-step explanation:

1. x\6-2=9

add 2 to both sides

x\6=11

multiply both sides by 6

x=66

2. -7(3x-4)=91

distribute -7 into parenthesis

-21x+28=91

subtract 28 from both sides

-21x=63

divide both sides by -21

x=-3

Answer:

1: 66 2: -3

Step-by-step explanation:

9+2=11

11=x/6

x=66

-21x+28=91

91-28 = -21x

63=-21x

x = -3

Answer: 24.24 miles

Step-by-step explanation:

We should note that 1000 metres = 1 kilometer.

Imelda rode her bicycle 39 kilometers which will be converted to meters a:

= 39 × 1000

= 39000 meters

Since 1 meter = 1.094 yards

39000 meters = 39000 × 1.094 = 42666 yards

To find find the distance Imelda rode her bicycle to the nearest mile goes thus:

1 mi = 1760 yd

42666 yards will be converted to miles. This will be: 42666/1760 = 24.24 miles

Answer:

24.24

Step-by-step explanatio i looked at the answer above thank if you

like that

Answer:

The value of 2a will be: 16

Step-by-step explanation:

Given the equation

[tex]5 + 6a = 7a-3[/tex]

subtract 5 from both sides

[tex]5+6a-5=7a-3-5[/tex]

[tex]6a=7a-8[/tex]

[tex]-a=-8[/tex]

Divide both sides by -1

[tex]\frac{-a}{-1}=\frac{-8}{-1}[/tex]

[tex]a=8[/tex]

As we know that [tex]a=8[/tex] is the solution to the equation.

Hence, the value of 2a will be:

[tex]2a = 2(8)[/tex]    ∵ [tex]a=8[/tex]

     [tex]= 16[/tex]

Therefore, the value of 2a will be: 16

Answer:

a fork

Step-by-step explanation:

Answer:

your right elbow

Step-by-step explanation:

Answer:

Step-by-step explanation:

Option 2 is correct

Answer:

The possible graph is "A". A further explanation is given below.

Step-by-step explanation:

The given values are:

Dominick spends on running

= 0.70 hours

He spends on swimming

= 1.5 hours

This week,

Dominick spends more than six hours.

If,

Number of runs be "x".

Number of swimming be "y".

then,

⇒ [tex]0.75x+1.5y>6[/tex]

⇒ [tex]75x+150y>600[/tex]

⇒ [tex]x+2y>8[/tex]

Therefore, [tex]x+2y=8[/tex]

x = 0

y = 4

So the above is the correct answer.

Answer:

The answer is 161

Step-by-step explanation:

In order to get the answer you ahve to multiply 175 by 0.08 then subtract 14 from 175

Answer:

1. $6.88

2. 16 oz box

3. 5 dollars if u were to buy the 11 pound I think

Step-by-step explanation:

1. 24 pack because if you got 2 packs of Diet coke for 3.99 each then it would be 7 something dollars which is higher than 6.88

2. cheaper for more

We have:

y = 4x - 5

Lets add 5 in each member:

y + 5 = 4x - 5 + 5

y + 5 = 4x

Divide the entire equation by 4:

[tex]\dfrac{y+5}{4} = \dfrac{4x}{4}\\\\\dfrac{y+5}{4} = x\\\\x = \dfrac{y+5}{4}\\\\\boxed{x = \dfrac{y}{4} + \dfrac{5}{4}}[/tex]

Answer: B, C, E

Step-by-step explanation:

For us to know if the options are correct, we just have to multiply the length the rope was cut into by the number of pieces and check if it equals 504 centimeter.

A. 12 pieces of 42.3 centimeter long rope.

= 12 × 42.3

= 507.6

This is wrong

B. 15 pieces of 33.6 centimeter long rope

= 15 × 33.6

= 504cm

This is correct

C. 16 pieces of 31.5 centimeter long rope

= 16 × 31.5

= 504cm

This is correct

D. 20 pieces of 25 centimeter long rope

= 20 × 25

= 500cm

This is incorrect

E. 35 pieces of 14.4 centimeter long rope

= 35 × 14.4

= 504cm

This is correct

Therefore, the correct option are B, C and E.

Answer:

D. [tex]2^{18}[/tex]

Step-by-step explanation:

The expression is: [tex](2^{6}) ^{3}[/tex] * [tex]2^{0}[/tex]

For the first term: When a term with an exponent is inside parentheses with another exponent on the outside, the two exponents are multiplied by each other:

6 * 3 =  18

Now the expression looks like this: [tex]2^{18}[/tex] *   [tex]2^{0}[/tex]

Any number to the power of zero is 1.

So the equation now looks like this:  [tex]2^{18}[/tex] * 1

After you multiply the two terms, you end up with  [tex]2^{18}[/tex].

Answer:

The answer is D 2^18

Step-by-step explanation:

Answer:

C: 15.9cm

Step-by-step explanation:

d= circumference/π

= 50/3.14

=15.9 cm

Answer:

c

Step-by-step explanation:

on edge 2020

Answer:

the equation to finding slope is this:

y2-y1 / x2-x1

Where y2 is the y value of the second point, y1 is the y value of the first point, x2 is the value of the second x value, and x1 is the x value of the first point.

5-0 / -2-2

5/-4

-5/4 is the slope

Step-by-step explanation:

Answer:

[tex]m=\frac{-5}{4} \\[/tex] which is the slope.

Step-by-step explanation:

Since we have two points on the line, we can easily calculate the slope.

Point 1 = (-2, 5)

Point 2 = (2, 0)

[tex]m=\frac{rise}{run}\\m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{0-5}{2-(-2)} \\m=\frac{-5}{4}[/tex]

Answer:

adding 5 tiles each time

Answer:

i think it's c

Step-by-step explanation:

12:6 can be done as 4:12 also saying 1:3