All categories

3 years ago

What is the equation of the line that passes through the point (-8,2) and has an undefined slope?

Mathematics

1 answer:

astra-53 [7]3 years ago

4 0

Answer: x = -8

Step-by-step explanation: Since this line has no slope, it must be vertical.

The equation of a vertical line through a given point can

always be written x = the x-coordinate of the given point.

So the answer to this problem is x = -8.

You might be interested in

Question 8(Multiple Choice Worth 3 points)

Nastasia [14]

Answer: C) F(4) = 0

Detailed Explanation:

A zero/root of a polynomial is a value of the variable which makes the value of the polynomial to 0.

Therefore, when (x - 4) is a Factor :-
=> x - 4 = 0
=> x = 4

=> x = 4 is the Zero of the Polynomial.

4 0

1 year ago

The measure of an angle's supplement is 44 less than the measure of the angle.

Luden [163]

Answer:

< 1 = 112 degrees

< 2 = 68 degrees

Step-by-step explanation:

< 1 = x

< 2 = x - 44

x + x - 44 = 180

2x = 180 + 44

x = 224/2

x = 112

5 0

2 years ago

What is 3.25 x 10^4 as an ordinary number?

Veronika [31]

The 10 followed by the little superscript number just represents how many decimal places you move to get your final number. So:

3.25 × 10⁴ just means you move the decimal point (between 3 and 2) four times to the right: 32500 (the decimal point would be after the last 0, so technically it's 32500.0, but you don't need to write that).

When the little superscript number is negative, you move the decimal point to the left:

6.04 × 10⁻³ = 0.00604 (make sure to add a zero before the decimal too).

When you write a standard form number, you have to make sure the number is larger than 0 and less than 10, so converting a number like 2,400,000 would be 2.4 × 10⁵, because you're moving the decimal place 5 times to get 2,400,000.

0.00147 is 1.47 × 10⁻³ because once again, you have to move 3 decimal places to the left.

6 0

2 years ago

Traveling math word problem - thank you! :)

Anni [7]

We are given:

car and train leave at the same time

average velocity of car = 50 miles/hour

average velocity of train = 70 miles/hour

train arrives 2 hours early

Assuming variables and making equations!

let the time taken by the train = t hours

since the car arrived late, it took more time as compared to the train

time taken by the car = t + 2 hours

since the distance from Pasadena to Sacramento doesn't change, both the vehicles covered the same distance, d

Distance travelled by the car:

d = 50 $\frac{miles}{hour}$ * (t+2) hours [distance = velocity * time]

d = 50(t+2) miles

rewriting in terms of t

$t = \frac{d-100}{50}$

Distance travelled by the train:

d = 70 $\frac{miles}{hour}$ * t hours

d = 70t miles

rewriting in terms of t

$t = \frac{d}{70}$

now we have two expressions for t, both of which are equal because t is just the time taken by the train

Finding the distance:

$t = \frac{d-100}{50}$

$t = \frac{d}{70}$

because t is the same:

$\frac{d-100}{50} = \frac{d}{70}$

$\frac{d-100}{5} = \frac{d}{7}$

7(d - 100) = 5(d)

7d - 700 = 5d

(7d - 5d) - 700 = 0 [subtracting 5d from both sides]

2d = 700 [adding 700 on both sides]

d = 350 miles [dividing both sides by 2]

The distance between Pasadena and Sacramento is 350 miles!

7 0

2 years ago

Points V, W, X, Y, and Z are graphed on a number line. The coordinate of point V is 3. What points are at a distance of 7 units

Aloiza [94]

Because we are only referring to a number line, it is known that the distance between points are the absolute values of the differences between the numbers. From the given choices, B. X = -4 as the distance between 3 and -4 is equal to 7. Similarly, the distance between Z = 10 from V is also 7. The answers are B and D.

3 0

3 years ago