Complete the equation

Answer:

Step-by-step explanation:

d = √(x₂ - x₁)² + (y₂ - y₁)²

x₂ = 1

x₁ = - 2 1/2 = - 5/2

y₂ = - 3

y₁ = - 3

d = √( 1 + 5/2)² + (- 3 + 3)²

= √(2/2 + 5/2) + 0

= √(7/2)²

= 7/2

= 3  1/2

Answer:

D

Step-by-step explanation:

(-2 1/2, -3) = (-5/2 , -3)    &  (1, -3)

[tex]Distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\ =\sqrt{(1-[\frac{-5}{2}])^{2}+(-3-[-3])^{2}}\\\\ =\sqrt{(1+\frac{5}{2})^{2}+(-3+3)^{2}}\\\\ =\sqrt{(\frac{7}{2})^{2}} \\\\=\frac{7}{2}\\\\=3\frac{1}{2}[/tex]

Answer:

The lowest number that is a multiple of 6 and 8 is 24.

Step-by-step explanation:

6, 12, 18, 24.

8, 16, 24.

Out of the given numbers, 24 is the multiple of 6 and 8. Hence, the option (3) is correct.

Let's check for all the given options:

1) 3: 3 is divisible by neither 6 nor 8 hence it is not a multiple of both.

2) 18 : 18 is divisible by 6 but not divisible by 8. Hence, this option is not correct. Since we have to find a number which is divisible by 6 as well as by 8.

3) 24: 24 is divisible by 6 as well as by 8. Hence, this option is correct.

4) 2: 2 is neither divisible by 6 nor by 8. Hence, this option is not correct.

Hence, the correct option is (3).

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Answer:

Step-by-step explanation:

$11/ 47 pound = $0.234 for 1 pound

the cost of buying 47 pound for 11 dollars is cheaper than to buy individual 1 pound bag for 0.45.

Answer:

First, let's find the unit price.

$11 ÷ 47 = $0.23 per pound.

$0.45 ÷ 1 = $0.45 per pound.

As you can see here, the 1 pound bag(smaller bag) clearly costs more per pound. The 47 pound bag(larger bag) costs less.

We can also put the values on a number line to compare.

          $0.23               $0.45

      (larger bag)    (smaller bag)

<-|---------o---------------------o---------|------------------------------------------|->

$0                                         $0.50                                           $1

As you can see, the larger bag is closer to zero.

Hope this helped!

-Emma

Answer:

The answer is c. (0,-1)

Step-by-step explanation:

So the unit circle is derived from a right triangle.

Answer:

n(n +1) is the Total number of seats in the corner section.

Step-by-step explanation:

We are given that:

Number of seats in first row = 2

Number of seats in second row = 4

Number of seats in third row = 6

:

Number of seats in [tex]n^{th}[/tex] row = [tex]2n[/tex]

We can clearly see that it is an Arithmetic progression with

First term, a = 2

Common Difference, d = 2

[tex]n^{th}[/tex] term, [tex]a_n=2n[/tex]

To find: Total number of seats in corner sections with n rows.

i.e. Sum of n terms of above AP.

Formula for sum of n terms of an AP:

[tex]S_n=\dfrac{n}{2}(2a+(n-1)d)\\[/tex]

Putting the values:

[tex]\Rightarrow \dfrac{n}{2} ({2 \times 2 +(n-1)2})\\\Rightarrow \dfrac{n}{2} (4 +2n-2)\\\Rightarrow \dfrac{n}{2} (2n +2)\\\Rightarrow \dfrac{n}{2} \times 2(n +1)\\\Rightarrow n(n +1)[/tex]

n(n +1) is the Total number of seats in the corner section.

Answer:

[tex]a = 30[/tex]

[tex]b = 40[/tex]

Step-by-step explanation:

Given

The attached triangle

Such that K is parallel to L

Required

Find the value of a and b

From the properties of parallel triangles;

Provided that k is parallel to l, then

[tex]\frac{a}{40} = \frac{a+15}{60}[/tex]

Multiply both sides by (60)(40)

[tex](60)*(40)*\frac{a}{40} = (60)*(40)*\frac{a+15}{60}[/tex]

[tex]60a = 40(a+15)[/tex]

Open Bracket

[tex]60a = 40*a+40*15[/tex]

[tex]60a = 40a+600[/tex]

Subtract 40a from both sides

[tex]60a - 40a = 40a - 40a + 600[/tex]

[tex]20a = 600[/tex]

Divide both sides by 20

[tex]\frac{20a}{20} = \frac{600}{20}[/tex]

[tex]a = \frac{600}{20}[/tex]

[tex]a = 30[/tex]

Similarly;

[tex]\frac{b}{40} = \frac{b+20}{60}[/tex]

Multiply both sides by (60)(40)

[tex](60)*(40)*\frac{b}{40} = (60)*(40)*\frac{b+20}{60}[/tex]

[tex]60b = 40(b+20)[/tex]

Open Bracket

[tex]60b = 40*b+40*20[/tex]

[tex]60b = 40b+800[/tex]

Subtract 40b from both sides

[tex]60b - 40b= 40b - 40b + 800[/tex]

[tex]20b= 800[/tex]

Divide both sides by 20

[tex]\frac{20b}{20} = \frac{800}{20}[/tex]

[tex]b = \frac{800}{20}[/tex]

[tex]b = 40[/tex]

Answer:7.4cm

Step-by-step

The approximate height of the plant after 8 weeks is 5.8 centimeters.

Given that:

The graph shows the heights, y (in centimeters), of a plant after a certain number of weeks, x.

Donna drew the line of best fit on the graph.

From the graph, the line of best fit passes through the points (0, 1) and (5, 4).

Now find the equation of the line passing through these points.

The slope of the line is:

m = (4 - 1) / (5 - 0)

   = 3/5

The equation of the line can be written as y = 3/5 x + c.

Now, substitute one of the points, let it be (0, 1).

1 = c

So the equation is y = 3/5 x + 1.

Now, after 8 weeks, x = 8.

y = 3/5 (8) + 1

  = 5.8

Hence the height is approximately 5.8 centimeters.

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Answer:

35.8° (1 d.p.)

Step-by-step explanation:

Please see the attached pictures for full solution.

a.

Scottie =  30

Top of the lighthouse =  45   (30+15)

The boat =  0

The fish = -10

b.

10 + 30 = 40

The addition is one of the four fundamental mathematical operations. The Scottie is 40 meters below away from the fish.

The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.

The representation of the locations in relation to sea level can be made as,

Scottie = 30 meters above the sea level = +30 meters

Top of the lighthouse = 45 meters above the sea level = +45 meters

The boat = at sea level  = 0 meters

The fish = 10 meters below sea level = -10 meters

B. The Scottie is 40 meters below away from the fish.

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Answer:

I think there is an error in the question because

(f-g) = -4

(f-g) (7) = NO SOLUTION

Step-by-step explanation:

[tex]f(x) = -9x + 2 \\g(x) = -9x + 6\\(f - g)(7)\\(f - g) = -9x + 2 - (-9x+6)\\(f - g) = -9x +2 +9x-6\\(f - g) = -9x +9x+2-6\\(f - g) = -4[/tex]

Answer:

function 18/y is defined for all values of y such that [tex]y \in R, y\neq 0[/tex]

Step-by-step explanation:

given data

number = 18/y

solution

in given value 18/y

If y=0, the function will be Undefined.

Because, the function is undefined if its denominator = 0

so that if we determine the function is defined, we will find out for what values the function is undefined and remove it

so, the function 18/y is defined for all values of y such that

[tex]y \in R, y\neq 0[/tex]

Answer:

Satnam should use 100g of luqid ingerdients.

Step-by-step explanation:

If the batter is 350g and the liquid amount has to be 2/7 of the total weight of the batter than you would take 350 and divide it by 7, wich you would get 50, and that would be 1/7 of the 350; then if 50 is 1/7 then 100 would be 2/7 because you're doubling it.

Answer:

25.12

Step-by-step explanation:

round pi to first 2 digits after decimal point.

3.14 x 8 =25.12

Answer:

3/2x^3

Step-by-step explanation:

multiply the numerators and the denominators

Answer:

113.1 square mm

Step-by-step explanation:

A=πr2=π·62≈113.09734

Answer:

[tex]= 36\pi \: {mm}^{2} \\ [/tex]

Step-by-step explanation:

[tex]area = \pi {r}^{2} \\ = \pi \times 6 \times 6 \\ = 36\pi \: {mm}^{2} [/tex]

Answer:

[tex]-6[/tex]

Step-by-step explanation:

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

[tex]m[/tex] is the slope of the line.

[tex]b[/tex] is the y-intercept.

[tex]y=-6x+3[/tex]

[tex]m=-6[/tex]

[tex]-6[/tex] is the slope of the line.

Answer:

-6

Step-by-step explanation:

The given equation is:

y = -6x+3

The standard slope-intercept equation is:

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

Where m is slope and c is y-intercept

Comparing the given equation with standard form, we get:

Slope = m = -6

Answer:

A.

[tex](\frac{3}{3+5})(2 - (-14))+ (-14)[/tex]

Step-by-step explanation:

Given

Ratio = 3:5

Q = -14

S = 2

Required

Which solution uses [tex](\frac{m}{m+n})(x_2 - x_1)+ x_1[/tex]

From the given parameters;

[tex]m:n = 2:5[/tex]

[tex]m = 2\ and\ n = 5[/tex]

[tex]x_1 = -14\ and\ x_2 = 2[/tex]

Substitute the above values in [tex](\frac{m}{m+n})(x_2 - x_1)+ x_1[/tex]

This gives:

[tex](\frac{m}{m+n})(x_2 - x_1)+ x_1[/tex]

[tex](\frac{3}{3+5})(2 - (-14))+ (-14)[/tex]

From the list of given options, only option A uses the given form of the formula...

Answer:

0.9

Step-by-step explanation:

so cos^-1 (4/13)

so it will be 0.95

if you round it up then it would be 1 if not then just 0.9

the correct answer would be - 3.25cm

here its given that x=4cm , y=4cm and z=13cm.

What are Trigonometric identities ?

Trigonometric identities are equations involving the Trigonometric functions that are true for every value of variables involved.

The question would be solved by applying trigonometry here, Hence, applying trigonometric identity of cos0 which is base upon hypotenuse i.e. B/H

here, a triangle would be constructed wherein, base would be z=13cm

and x and y will define the other 2 lines of 4 cm each and applying cos0=base/hypotenuse , here we get 13/4= 3.25cm.

hence the correct answer is- 3.25cm

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Answer:

Proved: PM ≅ ON

Step-by-step explanation:

A parallelogram is a quadrilateral with two opposite sides equal and parallel.

Find attached the diagram obtained from the information

From the above definition, quadrilateral MNOP is a parallelogram if:

Line MN is parallel to Line OP

Line ON is parallel to Line PN

From the diagram

Line MN is parallel to Line OP

Side MN is = side OP

Line ON is parallel to Line PN

Side ON is = side PN

Since the geometric size is equivalent

PM ≅ ON

Where ≅ means congruent to

Proved.

Answer:

The answer is 500 times

Step-by-step explanation:

hope this helps you

Answer:

Step-by-step explanation:

For greater clarity, graph this triangle.  If this triangle is reflected about the y-axis, the point C(0, 2) remains a vertex.  The point B(3, -3) becomes D(-3, -3).  Finally, the point A(4, -1) becomes E(-4, -1).

Answer:

A(4,-1)-> A'(-4,-1) .   B(3,-3)->B'(-3, -3) .  C(0,2) -> C' (0,2)

Step-by-step explanation:

Answer:

yes their parallel

Step-by-step explanation:

their the same equation just one is negative they go the go next to each other but never touch

Answer:

is their any pictures or graphes so i can answer?

Step-by-step explanation:

Answer: d on the edge

Answer:

7/4 + 9/-5 =

Since the denominator of the second fraction is negative the sign will change from negative to positive

We will get

7/4 - 9/5

First find the LCM

LCM of 4 and 5 is 20

7/4 - 9/5 = 5(7) - 4(9)/ 20

Simplify

We get

35 - 36/20

= -1/20

Hope this helps

Answer:

-1/20

Step-by-step explanation:

7/4 + -9/5

We need a common denominator, which is 20

7/4 *5/5   + -9/5 *4/4

35/20  + -36/20

Add the numerators together

-1/20

Answer:

Y = 2

Step-by-step explanation:

For point (x1,y1) and (x2,y2) on coordinate plane if is divided in ratio of m:n.

Then point of division is given by

(n*x1+m*x2)/ m+n,  (n*y1+m*y2)/ m+n

________________________________

Given point

c = (9,6)

d = (5,1)

ratio = 4:1

using the above formula , point of division is

x= (1*9+4*5)/ 4+1                     y=  (1*6+4*1)/ 4+1

x= (9+20)/ 5                             y=  (6+4)/ 5

x= 29/ 5                                    y=  10/ 5 =2

Thus, answer is y = 2

Answer:

2 is correct

Step-by-step explanation: I got it right on test

Answer:

0.12

Step-by-step explanation:

3/25= 12/100

12/100=0.12

Answer:

5/14

Step-by-step explanation:

Multiply.

(-5 × -1 × 4) / (7 × 8)

20/56

Simplify.

5/14

Answer:

The answer is [tex]\frac{5}{14}[/tex].

Step-by-step explanation:

1. -5 × [tex]\frac{-1}{7}[/tex] =  [tex]\frac{5}{7}[/tex]

2.  [tex]\frac{5}{7}[/tex] · [tex]\frac{4}{8}[/tex] = [tex]\frac{20}{56}[/tex]

3. Simplify:

[tex]\frac{20}{56}[/tex]  = [tex]\frac{5}{14}[/tex]

Answer:

[tex]g(x) = \frac{1}{9} \,x^2[/tex] which agrees with option A in the list of possible answers

Step-by-step explanation:

A vertical compression by a factor 9 is represented by the transformation:

[tex]\frac{1}{9} \,f(x) = \frac{1}{9} \,x^2[/tex]

Therefore the answer to the problem is:

[tex]g(x) = \frac{1}{9} \,x^2[/tex]