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3 years ago

The equation y+ 3 = 5(x - 3) represents a linear function. What is the y intercept of the equation

Mathematics

1 answer:

Anika [276]3 years ago

3 0

Answer:

The y intercept is when x=0

When x=0,

y+3= 5(-3)

y+3= -15

y=-18

the y intercept is thus -18.

Step-by-step explanation:

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In your own words what is the definition of reflection (in geometry)

sergeinik [125]

Answer:

a reflection is an isometry, which means the original and image are congruent, which can be reffered to as a flip

Step-by-step explanation:

7 0

2 years ago

If you run for 0.4 hours at 7 mph, how fast should you walk during the next 0.8 hours to have the average speed of 5 mph?

Fantom [35]

Answer:

4 mph

Step-by-step explanation:

The average speed of an object is given by the total distance covered by the time taken:

$v=\frac{d}{t}$

where

d is the total distance covered

t is the time taken

in the first part, the person runs for 0.4 hours at a speed of 7 mph, so the distance covered in the 1st part is

$d_1 = v_1 t_1 = (7)(0.4)=2.8 mi$

Then the distance covered in the second part is $d_2$ , so the total distance is

$d=2.8+d_2$ (1)

The total time elapsed is 0.4 hours (first part) + 0.8 hours (second part), so

$t=0.4+0.8=1.2 h$

So we can write the average speed as

$v=\frac{2.8+d_2}{1.2}$ (1)

We want the average speed to be 5 mph,

v = 5 mph

Therefore we can rearrange eq.(1) to find d2:

$d_2 = 1.2v-2.8 = (1.2)(5)-2.8=3.2 mi$

And therefore, the speed in the second part must be

$v_2=\frac{d_2}{t_2}=\frac{3.2}{0.8}=4 mph$

4 0

3 years ago

What is the factored form of x^12y^18+1

Black_prince [1.1K]

Answer: The required factored form of the given expression is

$(x^4y^6+1)(x^8y^{12}-x^4y^6+1).$

Step-by-step explanation: We are given to find the factored form of the following algebraic expression:

$E=x^{12}y^{18}+1.$

We will be using the following formula:

$a^3+b^3=(a+b)(a^2+ab+b^2).$

Now, we have

$E\\\\=x^{12}y^{18}+1\\\\=(x^4y^6)^3+1^3\\\\=(x^4y^6+1)\{(x^4y^6)^2-x^4y^6\times1+1^2\}\\\\=(x^4y^6+1)(x^8y^{12}-x^4y^6+1).$

Thus, the required factored form of the given expression is

$(x^4y^6+1)(x^8y^{12}-x^4y^6+1).$

4 0

3 years ago

Read 2 more answers

Can someone please help me gladly appreciate it !

Daniel [21]

It could be The 4.0 cm would be the base and 2.8cm would be the length upwards

5 0

3 years ago

Question 1 options:

OLEGan [10]

Answer:

4000 $m^{3}$

Step-by-step explanation:

V = 1/3(Bh) where B is the area of the base and h is the height of the pyramid

B = 20(20) = 400 h = 30

V = 1/3(400)(30) = 4000 $m^{3}$

5 0

2 years ago