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3 years ago

A line passes through the points -3 -4 and 6 2 what is the Y intercept of this line? -3 -2 2 or 3

Mathematics

1 answer:

Ymorist [56]3 years ago

8 0

Answer:

y=-2

Step-by-step explanation:

Hello : let A(-3,-4) B(6,2)

the slope is : (YB - YA)/(XB -XA)

(2+4)/(6+3) = 6/9 = 2/3

an equation is the line is : y = ax+b a is a slope

y = (2/3)x+b

but this line passes by (6;2)

so : 2 = (2/3)(6)+b

b = -2

the equation is : y = (2/3)x-2

the the Y intercept of this line when : x= 0 so : y = (2/3)(0)-2

y=-2

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Jon recently drove to visit his parents who live 280 miles away. On his way there his average speed was 9 miles per hour faster

Luba_88 [7]

Answer:

11 mph and 20 mph

Step-by-step explanation:

Represent his average speed going by r1 and his average speed returning by r2. We know that r1 = r2 + 9.

Recall that distance = rate times time, so time = distance / rate.

Time spent going was (280 mi) / r1, or (280 mi) / (r2 + 9 mph).

Time spend returning was (280 mi) / r2.

The total time was 14 hrs, so (280 mi) / (r2 + 9 mph) + (280 mi) / r2 = 14 hrs

Note that there is only one variable here: r2. Find r2, and then from r2, find r1:

Dividing all 3 terms by 14 hrs yields:

20 20

---------- + ----------- = 1

r2 + 9 r2

The LCD here is r2(r2 + 9). Thus, we have:

20r2 (r2 + 9)(r2)

------------------- = 1 or ------------------

(r2 + 9)(r2) (r2 + 9)(r2)

Then 20(r2) = (r2)^2 + 9(r2). This is reducible by dividing all terms by r2:

20 = r2 + 9, or 11 = r2. Then r1 = 11 + 9, or 20.

The two rates were 11 mph and 20 mph.

8 0

3 years ago

A gymnast dismounts the uneven parallel bars. Her height, h, depends on the time, t, that she is in the air h = −162 + 24t + 16.

dimulka [17.4K]

That is when h=0
so assuming yo meant
h(t)=-16t²+24t+16
solve for t such that h(t)=0
because when height=0, the gymnast hits the ground

so
0=-16t²+24t+16
using math (imma complete the square
0=-16(t²-3/2t)+16
0=-16(t²-3/2t+9/16-9/16)+16
0=-16((t-3/4)²-9/16)+16
0=-16(t-3/4)²+9+16
0=-16(t-3/4)²+25
-25=-16(t-3/4)²
25/16=(t-3/4)²
sqrt both sides
+/-5/4=t-3/4
3/4+/-5/4=t
if we do plus (because minus would give us negative height)
8/4=t
2=t
it takes 2 seconds

5 0

3 years ago

What is the value of x when y=10?

Margaret [11]

Answer:

x would be 1

Step-by-step explanation:

8 0

3 years ago

Eight subtracted from four times a number is -120?

Vsevolod [243]

-28 because if you add 8 to -120 you get -112 then divide it by 4 and you got -28

5 0

3 years ago

Read 2 more answers

When the polynomial in P(x) is divided by (x + a), the remainder equals P(a).

Effectus [21]

According to Remainder Theorem for the polynomials, for every polynomial P(x) there exist such polynomials G(x) and R(x), that $P(x)=(x\pm a)G(x)+R(x)$ .

When the polynomial in P(x) is divided by (x + a), then there exist such polynomials G(x) and R(x), that P(x)=(x+a)G(x)+R(x). Note that for x=-a:

P(-a)=(-a+a)G(-a)+R(-a)=0·G(a)+R(-a)=R(-a).
This means that P(-a) is the remainder, not P(a). 
Answer: correct choice is B.

3 0

3 years ago

A line passes through the points -3 -4 and 6 2 what is the Y intercept of this line? -3 -2 2 or 3​

A line passes through the points -3 -4 and 6 2 what is the Y intercept of this line? -3 -2 2 or 3