Work out the gradient of the straight line through (-2, 1) and (1, 10)

Answer:

x: 4metres

y: 8metres

Step-by-step explanation:

using scale 1:4

x:16 ÷ 4

y: 2×4

Answer:

88 ft

Step-by-step explanation:

The perimeter of a shape is the sum of the lengths of all its sides.

Perimeter of rectangle

= 2(length +breadth)

= 2(18 +26)

= 2(44)

= 88 ft

Answer:

136.

Step-by-step explanation:

-8 . (-10+(-7))

= -8*-10 + - 8*-7

= 80 + 56

= 136.

No this is not correct identity

Hence it's wrong

Answer:

Below!

Step-by-step explanation:

Let's simplify each side to determine if both sides are equal.

Left hand side of the equation:

This expression can be simplified using the rule (x + y)² = x² + 2(x)(y) + y².

When opening the parenthesis, we get;

This expression cannot be simplified further as there are no like terms in the expression obtained.

Right hand side of the equation:

This expression cannot be simplified further as there are no like terms in the expression obtained.

Given equation:

This can be rewritten as;

Therefore, it is impossible for a² + b² to be equivalent to a² + 2ab + b².

Answer:

For the first picture, 57.14

For the second picture, 27.04

The length of fence materials needed to cover a land of sides 700m ,700m and 850m is 2250 meters

Given Data

Since the shape of the land is that of a square

All the sides will be 700 meter

Dividing the land into two pieces, the side will be

700, 700, 850

hence the length of fence needed to cover the land is

Perimeter = 700+700+850

Perimeter = 2250 meters

Learn more about perimeter here:

https://brainly.com/question/24304697

The total mass of the living things on the farm is 588 kg.

Since on a farm there was a cow, 2 sheep and 3 chickens, to determine what is the total mass of the 1 cow, the 2 sheep, the 3 chickens, and the 1 farmer on the farm, the following calculation must be performed :

Therefore, the total mass of the living things on the farm is 588 kg.

Learn more about mass calculation in https://brainly.com/question/14695611

Answer:

14π inches

Step-by-step explanation:

Diameter of the clock = 7 × π = 7π

one day = 24 hours which means

2 clockwise turns around the clock

sooo 7π × 2 = 14π

Answer:

527.52 in

Step-by-step explanation:

To answer this question you have to find the circumference of the circle.

You have to use the formula below to find the circumference.

C = π d

Here,

d ⇒ diameter ⇒ 7 in

Let us solve it now.

C = π × d

C = 3.14 × 7

C =  21.98 in

Let us find it now.

Distance traveled in a day = 21.98 × 24

                                            = 527.52 in

Answer:

The answer to the linear function is

y = 1/2x + 4

Answer:

I beleive your answer would be ∡B

Step-by-step explanation:

Answer:

24 / 6 = ccc

Step-by-step explanation:

There is 24 oz of cheese total that will be split evenly (divided) into 6 parts.

Each part will equal one sandwich worth of cheese (ccc) on the other side of the equation.

This one is very simple to solve, you could just calculate 24/6 to get your answer. But I'll go through it using typical algebra you would use for a less simple equation.

To solve:

Multiply by 6 to cancel the division by 6 on the left side

24 = 6ccc

Divide by 6 to isolate ccc again

4 = ccc

So each sandwich would get 4oz of cheese.

Step-by-step explanation:

Slope=9

i)

[tex]y−y1=m(x−x1)[/tex]

When line is parallel

y+5=9(x-6)

y+5 = 9x - 54

When line is perpendicular

y+5=-1/9(x-6)

9(y+5)= -1(x-6)

9y + 45 = -x+6

Answer:

I believe your answer is 2 because that is the difference in the width of the cars.

Answer:

(4,0)

Step-by-step explanation:

Out of the given answers (4,0) would be correct

Answer:

[tex]\huge\boxed{\sf n = 11}[/tex]

Step-by-step explanation:

Total trees = 1260 trees

Maple trees:

[tex]\displaystyle = \frac{1}{5} \ of \ total \ trees\\\\= \frac{1}{5} \times \ 1260\\\\= \frac{1260}{5} \\\\= 252 \ maple \ trees[/tex]

Beech trees:

Given that:

Maple trees = 3 × beech trees

=> There are 252 maple trees.

252 = 3 × beech trees

Divide 3 to both sides

252 / 3 = beech trees

84 trees = beech trees

[tex]\boxed{\sf beech \ trees = 84 \ trees\\}[/tex]

Oak trees:

It is said that all other trees are oak trees.

So, oak trees will be:

= total trees - maple trees - beech trees

= 1260 - 252 - 84

= 924 trees

The ratio of oak trees to beech trees:

= 924 : 84

Divide 84 to both sides

= 11 : 1

The question says:

number of oak : number of beech = n : 1

So, from the answer, it is clear that:

n = 11

[tex]\rule[225]{225}{2}[/tex]

A) System doesn't have a solution.

x-y=4

2x-2y=1

x=4+y

2(4+y)-2y=1

8+2y-2y=1

8≠1

B) System has one solution.

x-4y=0

2x+4y=3

x=4y

2(4y)+4y=3

8y+4y=3

12y=3

y=1/4

C) Every solution is right for the system.

x-2y=1

4x-8y=4

x=1+2y

4(1+2y)-8y=4

4+8y-8y=4

4=4

Answer:

[tex]\displaystyle \large{-5^{-3}}[/tex]

Step-by-step explanation:

Given:

[tex]\displaystyle \large{-\dfrac{1}{125}}[/tex]

Convert to exponent using the laws of exponent:

[tex]\displaystyle \large{\dfrac{1}{a^n} = a^{-n}}[/tex]

That means we must find the base and exponent for 125, which is [tex]\displaystyle \large{5^3}[/tex]:

[tex]\displaystyle \large{-\dfrac{1}{125} = -\dfrac{1}{5^3}}[/tex]

From the law of exponent:

[tex]\displaystyle \large{-\dfrac{1}{5^3} = -5^{-3}}[/tex]

Therefore, the solution is [tex]\displaystyle \large{-5^{-3}}[/tex]

Step-by-step explanation:

REFER TO THE ATTACHMENT!!

HOPE IT WILL HELP YOU

Answer:

my answer is 11.4

Step-by-step explanation:

solve for the first triangle which has both sides then solve the other

Answer:

1000 my friend

Step-by-step explanation:

Answer:

10³ = 1000

Step-by-step explanation:

hope this helps

Answer:

Depends on the question or if it specifically says to.

Step-by-step explanation:

For finding the volume of cylinders and spheres use the pi symbol or just say "use 3.14 for pi"

Answer:

x = 5

Step-by-step explanation:

Tangents from a specific point are equal in length.

3x - 7 = 18 - 2x

5x - 7 = 18

5x = 25

x = 5

Answer:

Step-by-step explanation:

A function is even if [tex]f(x)=f(-x)[/tex], or if the graph has a rotational symmetry about the x-axis. A function is odd if [tex]f(x)=-f(-x)[/tex]. For example, if you were to reflect that graph about the y-axis. Would it present symmetry?

From the graph we know from the fundamental theorem of Algebra that since f has 3 distinct roots, and changes directions three times, we are dealing with a cubic equation in the form of [tex]f(x)=x(x+2)(x-2)[/tex]

Since the equation is known, try the formulas

First, test for an even function, [tex]f(x)=f(-x)[/tex], this means that for our function, f, [tex]f(2)=f(-2)[/tex] see if this holds true

[tex]2(2+2)(2-2) = -2(-2+2)(-2-2)\\2(4)(0)=-2(0)(-4)\\0 = 0[/tex]

This means that the function is even.

109.36 to nearest hundredth

A= pi x r x r

= pi x 5.9 x 5.9

= 109.3588....

Hope this helps!

Answer:

9 cm

Step-by-step explanation:

A= lw

54=6w

9=w

Answer:

9 cm

Step-by-step explanation:

⇒ Area of rectangle = (L)(B)

Substitute the length, breadth, and the area in the formula:

⇒ Area of rectangle = (L)(B) = 54 cm²

⇒ (6)(B) = 54 cm²

Divide 6 both sides:

⇒ (6)(B)/6 = 54/6 cm²

⇒ B = 9 cm

Thus, the measure of the width is 9 cm.

Answer: y=6x-4

Step-by-step explanation: see attached.

Let's solve this inequality.

First of all, subtract 8 from both sides:-

[tex]\sf{-3x < 20-8}[/tex]

[tex]\sf{-3x < 12}[/tex]

Divide both sides by -3:-

[tex]\sf{x > -4}[/tex]

Notice that the inequality sign changed...

Here's the rule:-

When you multiply/divide both sides by a negative number, you flip the inequality sign; so if we have "less than" it becomes "greater than" and so on...

So these are the values of x that will make the inequality true:-

[tex]\bigstar{\boxed{\pmb{The~numbers~greater~than~-4}}}[/tex]

Well, -3 is greater than 4 :)

Let's plug it in and see if it makes the inequality true:-

-3>-4

Yes, it does make the inequality true :)

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)