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3 years ago

Is this relation a function? True or False

Mathematics

1 answer:

VMariaS [17]3 years ago

7 0

Answer: False

Step-by-step explanation:

There is a very easy way to tell whether an ordered pair is a function or not. If many x's have one y, then it is not a function. Since (-1,7) and (-7, 7) both have the same y, it is not a function. Hope this helps!

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In a dog show, there will be a gold and a silver medal awarded. There are

Svetradugi [14.3K]

10 different ways the awards can be rewarded.

5 0

3 years ago

PLEASEEEEEE HELP IM BEGGING SOMEONE PLEASEEEEE HELPPPPPPPPPPPPPP

melisa1 [442]

Answer:

1.105°

angle relationship=vertical angles

2.112°

angle relationship=interior angles

Step-by-step explanation:

1.180-75=105

2.180-68=112

#Carry on Learning

6 0

3 years ago

2. Match the shapes given to their correct areas.

aliina [53]

Applying the formula for each identified shape that are given, the correct areas to each shape are:

a. Square = 134.6 sq. yd

b. Circle = 452.2 sq. cm

c. Parallelogram = 40.6 sq. cm

d. Rectangle = 43.2 sq. ft

e. Trapezium = 25.7 sq. m

f. Triangle = 21.6 sq. ft

a. The shape given is a square.

Area of the square = $s^2$

Where,

s = 11.6 yd

Plug in the value of s

Area of the square = $11.6^2 = 134.6 $ yd^2$

b. The shape given is a circle.

Area of the circle = $\pi r^2$

Where,

r = 12 cm

Plug in the value of r

Area of the square = $\pi \times 12^2 = 452.2 $ cm^2$

c. The shape given is a parallelogram.

Area of the parallelogram = $bh$

Where,

b = 7 cm

h = 5.8 cm

Plug in the value of b and h

Area of the parallelogram = $7 \times 5.8 = 40.6 $ cm^2$

d. The shape given is a rectangle.

Area of the rectangle = $l \times w$

Where,

l = 8.3 ft

w = 5.2 ft

Plug in the value of l and w

Area of the rectangle = $8.3 \times 5.2 = 43.2 $ ft^2$

e. The shape given is a trapezium.

Area of the trapezium = $\frac{1}{2} (a + b) \times h$

Where,

a = 2.8 m

b = 10.4 m

h = 3.9 m

Plug in the value of a, b, and h

Area of the trapezium = $\frac{1}{2}(2.8 + 10.4) \times 3.9 = 25.7 $ m^2$

f. The shape given is a triangle. (See attachment for the shape).

Area of the triangle = $\frac{1}{2} \times b \times h$

Where,

b = 9 ft

h = 4.8 ft

Plug in the value of b, and h

Area of the triangle = $\frac{1}{2} \times 9 \times 4.8 = 21.6 $ ft^2$

Therefore, applying the formula for each identified shape that are given, the correct areas to each shape are:

a. Square = 134.6 sq. yd

b. Circle = 452.2 sq. cm

c. Parallelogram = 40.6 sq. cm

d. Rectangle = 43.2 sq. ft

e. Trapezium = 25.7 sq. m

f. Triangle = 21.6 sq. ft

Learn more here:

brainly.com/question/22560863

5 0

3 years ago

Find a potential function for F or determine that F is not conservative. (If F is not conservative, enter NOT CONSERVATIVE.) F =

xxMikexx [17]

For $F$ to be conservative, we need to have

$\dfrac{\partial f}{\partial x}=\cos z$

$\dfrac{\partial f}{\partial y}=10y$

$\dfrac{\partial f}{\partial z}=-x\sin z$

Integrate the first PDE with respect to $x$ :

$\displaystyle\int\frac{\partial f}{\partial x}\,\mathrm dx+\int\cos z\,\mathrm dx\implies f(x,y,z)=x\cos z+g(y,z)$

Differentiate with respect to $y$ :

$\dfrac{\partial f}{\partial y}=10y=\dfrac{\partial g}{\partial y}\implies g(y,z)=5y^2+h(z)$

Now differentiate $f$ with respect to $z$ :

$\dfrac{\partial f}{\partial z}=-x\sin z=-x\sin z+\dfrac{\mathrm dh}{\mathrm dz}\implies\dfrac{\mathrm dh}{\mathrm dz}=0\implies h(z)=C$

So we have

$f(x,y,z)=x\cos z+5y^2+C$

so $F$ is indeed conservative.

8 0

3 years ago

Answer as mixed number (if possible)

Fiesta28 [93]

You're looking for 2/9 of 3/6 which means you are solving 3/6 ÷ 2/9.

When I was in sixth grade, my teacher always said "Dividing fractions, easy as pie. Flip the second and multiply." At the time, I thought I was too old for stuff like that, but now, I'm in ninth grade, and I haven't forgotten it. If you learn one thing, learn fractions, and learn them well because they never leave.

Anyway, 3/6 ÷ 2/9 becomes 3/6 × 9/2. Another thing from my teacher: "Multiplying fractions, no big problem. Top times top over bottom times bottom." So, 3 × 9 = 27 and 6 × 2 = 12. 27/12.

To make that a mixed number, do 27 ÷ 12. 12 goes in 2 times. This is the big number in your mixed number, your coefficient. Then you have 3 left over. (12 × 2 = 24. 27 - 24 = 3.) This is your numerator. And 12 is still your denominator.

Your answer is 2 3/12, which simplifies to 2 1/4.

5 0

3 years ago

Read 2 more answers