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4 years ago

What is the equation of a line that passes through points (0, 4) and (-4, -8)?

2 answers:

7 0

The answer is D. you know that the equation must end in +4 as the yintercept is at four (y=4 when x=0)
then you can work out that it is 3x because when x changes by -4, y changes by -12, which is three times as much.
Hope this makes sense!

Fed [463]4 years ago

6 0

Slope = (-8 - 4)/(-4 -0) = -12/-4 = 3

y-intercept so b = 4

equation: y = 3x + 4

answer: <span>C. y = 3x + 4</span>

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Write the sum using summation notation, assuming the suggested pattern continues. -9 - 4 + 1 + 6 + ... + 66

Darya [45]

Answer:

$\sum\limits^n_{k=1} {(-14+5k)}$

Step-by-step explanation:

The series is an arithmetic series with first term (a1) -9 and common difference (d) 5. Then the general term (an) is ...

an = a1 +d(n-1) = -9 +5(n-1) = -14 +5n

The summation notation indicates the sum of "n" of these terms.

7 0

4 years ago

María compró 78 metros de cuerda, ella dividió en 6 partes iguales la cuerda el día martes 8 de mayo ¿Cuántos metros mide cada t

barxatty [35]

Answer:

The length of each piece is 13 m.

Step-by-step explanation:

Maria bought 78 meters of rope, she divided the rope into 6 equal parts on Tuesday, May 8, How many meters is each piece?

a) Each piece measures 312m

c) Each piece measures 13m

d) each piece mites 92m

b) Each piece measures 9m and 75cm

Total length, L = 78 m

Number of pieces, n = 6

length of each piece,

d = L/n = 78/6 = 13 m

So, the correct option is (c).

6 0

3 years ago

6 decigrams = milligrams

malfutka [58]

1 decigram = 100 milligrams

6 decigrams = 600 milligrams

6 0

3 years ago

amirah ,who is at a point P ,observes a boat at pont B 1200m from P in direction 047 degrees. The boat is moving due north of B

Luda [366]

Answer:

about 2.81 km/h

Step-by-step explanation:

It can be useful to draw a diagram.

The lines pointing to due north from points B and P are parallel, so the angle BCP and the bearing of point C from P are the same, 30°. The angle BPC will be the difference of bearings of B and C at P, so is 47-30=17°. This is enough information to solve the triangle using the Law of Sines:

PB/sin(C) = CB/sin(P)

CB = PB·sin(P)/sin(C) = (1200 m)·sin(17°)/sin(30°) ≈ 701.7 m

The speed of the boat is then ...

x = distance/time = (0.7017 km)/(1/4 h) = 2.8068 km/h

6 0

4 years ago

Please help Which soap deal has the lowest price per ounce?

neonofarm [45]

The answer will be price per ounce.

This means price/ounce.

For example (not the answer):
A) $3.45 / 3.5oz = 0.99 dollars per oz

7 0

3 years ago