All categories

3 years ago

Part A

Mathematics

1 answer:

MakcuM [25]3 years ago

6 0

Answer:

-1 ; -1 ; the two lines are parallel

Step-by-step explanation:

To find the slope of the two lines, we can proceed in two different ways:

1) the faster is do the division: -a/b where a is the number the multiplies x and b is the number that multiplies y

line 1: m = 3/-3 = -1 line 2: -4/4 = -1

2) the second is to rewrite the two equation in the slope intercept form and find what term multiplies the x

line 1

-3y = 3x+6

-y = x + 2

y = -x -2

m = -1

line 2

x+y = 2

y = -x +2

m = -1

the two lines have the same slope, so they are parallel

You might be interested in

A triangular prism has base edges 2 cm, 6 cm, and 7 cm long. Its lateral area is 330 cm2. What is the height of the prism? cm. T

Ostrovityanka [42]

9514 1404 393

Answer:

22 cm

Step-by-step explanation:

The lateral area is the product of the perimeter and the height. The perimeter is the sum of side lengths.

P = a+b+c = (2 +6 +7) cm = 15 cm

LA = Ph

330 cm^2 = (15 cm)h . . . fill in the known values

h = (330 cm^2)/(15 cm) = 22 cm

The height of the prism is 22 cm.

3 0

3 years ago

Diego pours out 25% of the remaining water. About how many ounces did he pour the second time? Explain or show your reasoning.

Lilit [14]

Answer:

55% or 27.2 ounces

Step-by-step explanation:

If he poured out another 25% out of the 80% percent that was there he would have 55% or 27.2 ounces.

8 0

3 years ago

How many different 11-letter words (real or imaginary) can be formed from the letters in the word engineering?

FrozenT [24]

The answer >>> 4 989 600

8 0

3 years ago

What is the probability that when a pair of dice is rolled, at least one die shows a 3 or the dice sum to 8?

amm1812

Given condition is that two die are rolled together. So there are 36 combinations of two rolled dice. And the following have a sum of 8 : 2–6, 3–5, 4–4, 5–3 and 6–2. Out of these five combinations, 2 show the number 3.

So probability(sum is 8) becomes = $\frac{5}{36}$

And probability of (shows a number 3) becomes = $\frac{2}{36}$

7 0

3 years ago

Read 2 more answers

Which values are possible rational roots of 9x^3 + 14x^2 - X + 18=0 according to the rational root theorem?

soldier1979 [14.2K]

ANSWER
The correct answers is B and D.

EXPLANATION

According to the rational root theorem, all factors of 18 divided by all factors of 9 are possible rational roots.

$\pm \frac{3}{9} = \pm \frac{1}{3}$

$\pm \frac{3}{1} = \pm 3$

Therefore option B and D are the correct answers.

6 0

4 years ago