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svetoff [14.1K]

3 years ago

11

Kent thinks that x+x and x2 are equivalent expressions because they each have a value of 4 when x=2. Which statement best demons

trates whether Kent is correct?

1 answer:

timofeeve [1]3 years ago

3 0

Kevin is incorrect because x+x is adding two numbers, but x^2 is multiply.

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Line M passes through point (3,1) and is perpendicular to the line of the equation y=3x+4. Which equation describes the graph of

zheka24 [161]

Answer:

y = -1/3x + 2

Step-by-step explanation:

The gradient of the given line is 3 because (y = mx +c where m is the gradient)

Therefore, to find the gradient of the perpendicular line (at 90 degrees), you need to find the negative reciprocal.

The negative reciprocal of 3 is -1/3 because imagine if 3 = 3/1, to get the reciprocal, you flip it, and to get the negative, you just flip the sign.

Now we know that Line M is y = -1/3x + c, we need to find the y-intercept.

To do this, just input the point (3,1) into y = -1/3x + c, to get c. This is because we know (3,1) is on the line from the question.

So it would be 1 = (-1/3 x 3) +c

Which would be 1 = -1 +c

And so c = 2

Put everything together and you get y = -1/3x + 2

8 0

3 years ago

29.95 withb6 percent tax

denis-greek [22]

Answer:

31.929

Step-by-step explanation:

29.95×6/100=1.797

29.95+1.797=31.929

8 0

3 years ago

Can u help me on this?

a_sh-v [17]

Answer:

B

Step-by-step explanation:

70-20=50

i don't sure correct or not

7 0

3 years ago

Jasmine wants to start saving to purchase an apartment. Her goal is to save $225,000. If she deposits $180,000 into an account t

Y_Kistochka [10]

The time it will take the principal to grow to the desired amount is 0.7 years

Using the compound interest formula :

A = P(1 + r/n)^(nt)

A = final amount = 225,000

P = principal = 180,000

r = rate = 3.12%

n = Number of compounding times per period = 12(monthly)

t = time

225000 = 180000(1 + (0.0312 /12))^(12t)

Divide both sides by 180000

225000/180000 = (1 + (0.0312 /12))^(12t)

1.25 = 1.026^12t

Take the log of both sides

0.0969100 = 0.0111473 × 12t

0.0969100 = 0.1337676t

Divide both sides by 0.1337676 to isolate t

0.0969100 / 0.1337676 = t

0.7244 years

0.7 years

It will take 0.7 years for the amount to grow

Learn more : brainly.com/question/21270833?referrer=searchResults

8 0

3 years ago

Read 2 more answers

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. <em>Square </em>= 134.6 sq. yd

b. <em>Circle </em>= 452.2 sq. cm

c. <em>Parallelogram </em>= 40.6 sq. cm

d. <em>Rectangle </em>= 43.2 sq. ft

e. <em>Trapezium </em>= 25.7 sq. m

f. <em>Triangle</em> = 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. <em>(See attachment for the shape).</em>

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. <em>Square </em>= 134.6 sq. yd

b. <em>Circle </em>= 452.2 sq. cm

c. <em>Parallelogram </em>= 40.6 sq. cm

d. <em>Rectangle </em>= 43.2 sq. ft

e. <em>Trapezium </em>= 25.7 sq. m

f. <em>Triangle</em> = 21.6 sq. ft

Learn more here:

brainly.com/question/22560863

5 0

3 years ago