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alex41 [277]
3 years ago
14

4. (4x – 2y) – (2x – 6y)

Mathematics
1 answer:
rodikova [14]3 years ago
3 0

Answer:

(4x -2y)-( 2x-6y) = 2x-(-4y)

Step-by-step explanation:

only the same sign can be together. so you take the x first 4-2 which is 2x then you take the y signs 2-6 which would be -4 the full equation becomes 2x-(-4)

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What is the equation of the axis of symmetry?
Anit [1.1K]

Answer:

x = 1

Step-by-step explanation:

Line of symmetry: x = h,

Where h is the x-coordinate of the vertex

5 0
3 years ago
Here is a triangular pyramid and its net.
bazaltina [42]

Answer:

a) Area of the base of the pyramid = 15.6\ mm^{2}

b) Area of one lateral face = 24\ mm^{2}

c) Lateral Surface Area = 72\ mm^{2}

d) Total Surface Area = 87.6\ mm^{2}

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. \text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\

{\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to <em>Lateral Surface Area + Area of base</em>

\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\  mm^{2}

Hence,

a) Area of the base of the pyramid = 15.6\ mm^{2}

b) Area of one lateral face = 24\ mm^{2}

c) Lateral Surface Area = 72\ mm^{2}

d) Total Surface Area = 87.6\ mm^{2}

3 0
3 years ago
Please list the factors thanks :)
ICE Princess25 [194]
The only factors are 1 and 29
5 0
3 years ago
Read 2 more answers
What is the length of QR?
Elena L [17]

Answer:

C

Step-by-step explanation:

Since the triangle is right with hypotenuse QR

Use Pythagoras' identity to solve for QR

The square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

QR² = 8² + (8\sqrt{3} )²

       = 64 + 192

       = 256 ( take the square root of both sides )

QR = \sqrt{256} = 16

7 0
3 years ago
A coral reef has 187 groups of fish in each group there are 21 fish about how many fish live in the coral reef and is it multipl
prisoha [69]

The answer is about 9. And it is a division problem.

5 0
3 years ago
Read 2 more answers
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