Where is point B? (im also not good at these at all)

Answer:

a)Fourth coordinate (- 4 , 1 )

b)Dimension : 6 unit by 3 unit

c)Area = 18 square units

Step-by-step explanation:

Given coordinates A = ( 2 , 1) , B = ( 2 , 4 ) , C= ( -4 , 4)

Find D.

Let D = (x , y)

For a rectangle, mid point of diagonal are same.

[tex]Mid - point \ of \ AC = ( \frac{2-4}{2}, \frac{4+1}{2}) = (-1, 2.5)\\\\Mid - point \ of \ BD = ( \frac{x+2}{2}, \frac{y+4}{2} )[/tex]

Since mid-points are same. Equate :

[tex]\frac{x+2}{2} = -1\\\\x+2 = -2\\\\x = -4[/tex]                

[tex]\frac{y+4}{2} = 2.5\\\\y + 4 = 5\\\\y = 1[/tex]

a)

Therefore, D = ( -4, 1)

Since parallel sides of a rectangle are the same.

We will find the length of the sides using distance formula.

Distance between ( 2, 1 ) and ( 2, 4)

[tex]Distance_{AB} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} } =\sqrt{(2-2)^2 + (4-1)^2 } = \sqrt{9} = 3[/tex]

AB = 3

Distance between ( 2 , 4 ) and ( -4 , 4)

[tex]Distance_{BC} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} } =\sqrt{(2--4)^2 + (4-4)^2 } = \sqrt{36} = 6[/tex]

BC= 6

CD is parallel to AB , therefore CD = 3

AD is parallel to BC,  therefore AD = 6

b) Dimensions : length = 6 , breadth = 3

c) Area = Length x Breadth

           = 6 x 3

           = 18 square units

Answer: 230 - the total amount of sweets.

Step-by-step explanation:

Adrian received 8 pieces of sweets;

Ben got 5 pieces of sweets;

Charlie received 10 pieces of sweets.

The sum of all parts:

8 + 5 + 10 = 23

Let's calculate how many parts Charlie got more than Adrian:

10 - 8 = 2

It is also known that Charlie received 20 more sweets than Adrian. This means that you can calculate how many sweets are in one part.

20 : 2 = 10

Now we can calculate the total amount of sweets:

10 × 23 = 230

Given:

A figure of combination of hemisphere, cylinder and cone.

Radius of hemisphere, cylinder and cone = 6 units.

Height of cylinder = 12 units

Slant height of cone = 10 units.

To find:

The volume of the given figure.

Solution:

Volume of hemisphere is:

[tex]V_1=\dfrac{2}{3}\pi r^3[/tex]

Where, r is the radius of the hemisphere.

[tex]V_1=\dfrac{2}{3}(3.14)(6)^3[/tex]

[tex]V_1=\dfrac{6.28}{3}(216)[/tex]

[tex]V_1=452.16[/tex]

Volume of cylinder is:

[tex]V_2=\pi r^2h[/tex]

Where, r is the radius of the cylinder and h is the height of the cylinder.

[tex]V_2=(3.14)(6)^2(12)[/tex]

[tex]V_2=(3.14)(36)(12)[/tex]

[tex]V_2=1356.48[/tex]

We know that,

[tex]l^2=r^2+h^2[/tex]                               [Pythagoras theorem]

Where, l is length, r is the radius and h is the height of the cone.

[tex](10)^2=(6)^2+h^2[/tex]

[tex]100-36=h^2[/tex]

[tex]\sqrt{64}=h[/tex]

[tex]8=h[/tex]

Volume of cone is:

[tex]V_3=\dfrac{1}{3}\pi r^2h[/tex]

Where, r is the radius of the cone and h is the height of the cone.

[tex]V_3=\dfrac{1}{3}(3.14)(6)^2(8)[/tex]

[tex]V_3=\dfrac{25.12}{3}(36)[/tex]

[tex]V_3=301.44[/tex]

Now, the volume of the combined figure is:

[tex]V=V_1+V_2+V_3[/tex]

[tex]V=452.16+1356.48+301.44[/tex]

[tex]V=2110.08[/tex]

Therefore, the volume of the given figure is 2110.08 cubic units.

Answer:

7 nickles

8 dimes

4 quarters

Step-by-step explanation:

q

d = 2q

n = q+3

25q + 10d + 5n = 215

25q + 10(2q) + 5(q + 3) = 215

25q + 20q + 5q - 15 = 215

50q = 200

q = 4

d = 2q = 8

n = q + 3 = 7

Answer:

x = 30 ml of 10%

50 - x = 20 ml of 15%

Step-by-step explanation:

0.10x + 0.15(50 - x) = 0.12(50)

distribute

0.10x + (7.5 - 0.15x) = 6

Combine like terms

-0.05x = -1.5

Divide both sides by -0.05

x = 30 ml of 10%

50 - x = 20 ml of 15%

Answer:

50 degrees

Step-by-step explanation:

50 degrees because angle 2 is its vertical angle

Answer:

(3,2)

Step-by-step explanation:

If you look at the x-axis it 3 to the right and your y-axis is 2 up and so the pair is (x is first, y is second) so it (3,2).

Answer:

a ≈ 6.5 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Volume of a Cube Formula: V = a³

Step-by-step explanation:

Step 1: Define

Identify

V = 270 cm³

Step 2: Solve for a

Answer:

The length of it's side is 6.5 cm.

Step-by-step explanation:

Here's er have given that the Volume of cube is 270 cm³. And we have to find the length of its side rounded to 1DP.

To find the length of its side we apply the formula ; Volume of cube and then simplify .

Volume of cube = ( a )³

plug the values

270 cm ³ = a³

Taking cube root of both side

[tex] \small \sf \sqrt[3]{270 \: cm {}^{3} } = \sqrt[3]{a {}^{3} } [/tex]

6.4633 cm = a

Rewrite

a = 6.4633 cm

Round nearest to 1DP

a ≈ 6.5 cm

Hence , Length of it's side is 6.5 cm.

Answer:

[tex]3[/tex] times

Step-by-step explanation:

[tex]5x=15[/tex]

Divide both sides by 5

[tex]x=3[/tex]

Hope this helps

Answer:

9 Times

Step-by-step explanation:

You need to find how many times farther away Amy sets up her target. She used to set it up 5 feet away. Start by finding how many feet away she sets up her target now.

There are 3 feet in a yard, so multiply 15 yards by 3.

15×3=45

Now, Amy sets up her target 45 feet away. She used to set it up 5 feet away. You can use a multiplication fact to find how many times farther away she sets up her target now.

5×9=45

Amy sets up her target 9 times farther away now.

Answer:

84%

Step-by-step explanation:

each liter is 1000 cubic centimetre, so you have a total density of 3000, but instead think of 3 liters being 100% density and think of alcohol as 80% density, there are 4 times at much 80% than 100% liquid.

with 3 liters of alcohol, 3 liters of water is now 90% density or 0.9 gram per centimetre. add another 3 liters and it is 2/3, so the grams per centimetre would be 8.66667 or 8 2/3's

if you add another 3 liters, THEN it is 85%

add 12 liters in total and the final answer 84%

Answer:

3.02 is the answer for this question if the answer is correct plz mark me as brainliest

Answer:

3.02

Step-by-step explanation:

51.34 ÷ 17 = 3.02

Answer:

line r or MB

Step-by-step explanation:

Answer:

only line r

Step-by-step explanation:

the question is what is perpendicular to (has an angle of 90 degrees with) AM.

line r is.

line s has no right angle with AM (even the extended line beyond these points).

MB is parallel to AM. in fact it is on the same line. so, they have 0 degrees and not 90.

JK is just a part of line s, and the same as for line s applies.

Step-by-step explanation:

r=21cm

a=135

perimeter=2r+ar

=2×21+135×21

=42+2835

=2877cm

in a sale, normal prices are reduced by 10%

nathalie bought a pair of shoes in the sale for £54

what was the original price of the shoes

[tex]x = 60[/tex]

Explanation

[tex] \sf based \: on \: the \: given \: conditions \: write : x = \frac{54}{ 1 - 01} [/tex]

[tex] \sf calculate \: the \: sum \: difference: x = \frac{54}{0.9} [/tex]

convert decimal to fraction: x= 54 / 9 / 10

[tex] \sf \: divide \: a \: fraction \: by \: multiplying \: its \: reciprosal : x = 54 \times \frac{10}{9} [/tex]

[tex] \sf \: write \: as \: a \: single \: fraction : x = \frac{54 \times 10}{9} [/tex]

[tex] \sf \: reduce \: fraction \: to \: the \: lowest \: term \: by \: cancelling \: the \: greatest \: [/tex]

[tex] \sf \: common \: factor : x = 6 \times 10[/tex]

[tex] \sf \: calculate \: the \: product \: or \: quotient : x = 60 [/tex]

[tex] \sf{ \boxed{answer : x = 60}}[/tex]

Answer:

7 thousand because in word it is 0me hundred and seventy six thousand three hundred and fifty four

Answer:

tens of thousands

Step-by-step explanation:

Answer:

camino 5 kilometros

Step-by-step explanation:

2-3+5

Answer:

X+3

Step-by-step explanation:

I did the test

Step-by-step explanation:

sorry can't help u because I can't see any picture

Answer:

D. g(x) = 3·x²

Step-by-step explanation:

The given parent function, f(x) = x²

The graph of the function, g(x) is narrower than the graph of the function f(x)

Therefore, the coefficient of the quadratic function is larger than 1

The given point on the parabola, g(x) = (1, 3)

Therefore. when x = 1, g(x) = 3

However, when x = 1, f(x) = 1

Therefore, given that g(x) = a·f(x), we get;

a = g(x)/(f(x)) = 3/1 = 3

g(x) = 3·x²

Step-by-step explanation:

4(2.8*4.5)=50.4

50.4/12= 4.2

4.2 means 5 tins of paint

£52.5 =price

Step-by-step explanation:

i have explained in the paper.

Goodluck

Answer:

Option C.

Step-by-step explanation:

First, let's define the transformations used here:

We can see that the red graph is shifted horizontally to the right, and that is reflected across the x-axis:

Horizontal shift:

For a general function f(x) an horizontal shift of N units is written as:

g(x) = f(x + N)

where:

If N > 0, the shift is to the left

if N < 0 , the shift is to the right.

Reflection across the x-axis.

For a function f(x), a reflection across the x-axis is just written as:

g(x) = -f(x)

So, if here we have a reflection across the x-axis and a horizontal shift of one unit to the right, we would write the equation for the red graph as:

g(x) = -f(x)     (only for the reflection)

g(x) = -f(x - 1)    (for the reflection and the shift)

Then the graph of the red function is:

y = -f(x - 1)

We can rewrite this as:

y = -1*f(x - 1)

dividing both sides by -1 we get:

y/-1 = f(x - 1)

This is what we can see in option C, so the correct option is C.

Answer/Step-by-step explanation:

✔️10x - 4y = -8

-5x + 6y = 10

Multiply the first equation by ½ to eliminate the x-term

Thus:

½ × 10x - 4y = -8 (eqn 1)

5x - 2y = -4

✔️-2x + 6y = 3 (eqn 1)

4x + 3y = 9

To eliminate the x-terms when adding to the second equation, multiply the first equation by 2

Thus:

2 × -2x + 6y = 3

-4x + 12y = 6

✔️3x - 8y = 1 (eqn 1)

6x + 5y = 12

To eliminate the x-terms when adding to the second equation, multiply the first equation by -2

Thus:

-2 × 3x - 8y = 1 (eqn 1)

-6x + 16y = -2

✔️-8x + 10y = 16 (eqn 1)

-4x - 5y = 13

To eliminate the x-terms when adding to the second equation, multiply the first equation by -½

Thus:

-½ × -8x + 10y = 16 (eqn 1)

4x - 5y = -8

Answer:

Match each system to the number the first equation can be multiplied by to eliminate the x-terms when adding to the second equation.

8x + 10y = 16

-2

4x-5y = 13

2× + бу = 3

4x + 3у = 9

3x - 8y = 1

6x + 5y = 12

10x - 4y =-8

-5x + бу = 10

1/2

2

-1/2Step-by-step explanation:

Answer:

80

Step-by-step explanation:

......................................

Answer:

p = 1.4

Step-by-step explanation:

The ratio of sides is the same

p/4.2 = 1.7/5.1

multiply both sides by 4.2

p = 1.7/5.1 * 4.2

p = 1.4

===========================================================

Explanation:

JK = LM because opposite sides of a parallelogram are the same length.

Side LM is p units long, where p is a placeholder for a number.

To determine what number replaces p, we can form the proportion shown below

BC/KL = CD/LM

Refer to the drawing below. I've circled the corresponding pieces. Note the color coding. Other equations are possible.

-----------

So,

BC/KL = CD/LM

(5.1)/(1.7) = (4.2)/p

5.1p = 1.7*4.2 ....................... cross multiply

5.1p = 7.14

p = (7.14)/(5.1)

p = 1.4

Answer:

166degrees

Step-by-step explanation:

Using the theorem which states that the angle at the vertex is twice the angle at the intercepted arc

Angle at the vertex <MNO = 83degrees

Angle at the arc =  m<MLO

According to the theorem

83 = 1/2(m<MLO)

m<MLO = 83 * 2

m<MLO = 166degrees

Hence the measure of angle MLO is 166degrees

Answer:

(x+5)²+(y-4)²=17

Step-by-step explanation:

I think it's safe to assume that the (-5,4) coordinate is in the center

To find the x and y coordinate just flip the signs

which means it would look like

(x+5)²+(y-4)²=?

the question mark is equal to the raidus squared

to find the radius use the distance formula

√((-4+5)²+(8-4)²)= 4.123106

square this to get 17

the final answer is then

(x+5)²+(y-4)²=17

Answer:On June 17

the explanation is in the picture

Answer:

the solutions of x^2=16x-28 are

2) 2 and 14