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ki77a [65]
2 years ago
14

Find the equation (in terms of x ) of the line through the points (-5,-1) and (3,-4)

Mathematics
1 answer:
Nataly [62]2 years ago
4 0

9514 1404 393

Answer:

  y = -3/8x -23/8

Step-by-step explanation:

The slope is found using the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -(-1))/(3 -(-5)) = -3/8

Then the point-slope equation of the line is ...

  y -k = m(x -h) . . . . line with slope m through point (h, k)

For m = -3/8 and (h, k) = (-5, -1), the line is ...

  y +1 = -3/8(x +5)

In slope-intercept form, this is ...

  y = -3/8x -23/8

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Which of the statements is true regarding the graphed functions ?
DedPeter [7]
F(x) means the function defined at that x value. It really just means what y value when x is equal to that input. So we can see clearly that A is false. They’re nearly opposite y values. B is also obviously false since the y values aren’t equal. C is the same case, the y values aren’t equal. D is true. When x = -2 for both functions, we can see the y value is the same. They also intercept, so that’s a pretty dead giveaway

D.)
6 0
3 years ago
7. A bag of M&Ms contains the following distribution of colors:
lys-0071 [83]

Answer:

a) 21/1240 = 0.017

b) 9/1240 = 7.26*10^-3

c) 3/2480 = 1.21*10^-3

Step-by-step explanation:

There are total 32 M&Ms in the bag

a) Probability that all three are blue M&Ms (without replacement)

         (9/32)*(8*31)*(7/30) = 21/1240 = 0.017

b)     Probability that the first one selected is blue, the second one selected is orange, and the third one selected is red

         (9/32)*(6/31)*(4/30) = 9/1240 = 7.26*10^-3

c)     Probability that the first two selected are red, and the third one selected is yellow

        (4/32)*(3/31)*(3/30) = 3/2480 = 1.21*10^-3

3 0
3 years ago
Luna is competing in a 200 m race.
Yuri [45]

Answer:

24

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Let’s look at another one of Homer’s rocket launches. It was launched from ground level with an initial velocity of 208 feet per
kozerog [31]

Answer:

Smax = 676 ft

the maximum altitude (height) the rocket will attain during its flight is 676 ft

Step-by-step explanation:

Given;

The height function S(t) of the rocket as;

S(t) = -16t2 + 208t

The maximum altitude Smax, will occur at dS/dt = 0

differentiating S(t);

dS/dt = -32t + 208 = 0

-32t +208 = 0

32t = 208

t = 208/32

t = 6.5 seconds.

The maximum altitude Smax is;

Substituting t = 6.5 s

Smax = -16(6.5)^2 + 208(6.5)

Smax = 676 ft

the maximum altitude (height) the rocket will attain during its flight is 676 ft

8 0
3 years ago
Indicate the equation of the given line in standard form.
Lorico [155]
We have that
<span>triangle ABC
where
A(-5, 5), B(1, 1), and C(3, 4) are the vertices

using a graph tool
see the attached figure

the hypotenuse is the segment AC

find the equation of the line AC
</span>A(-5, 5) C(3, 4) 
<span>
step 1
find the slope m
m=(y2-y1)/(x2-x1)-----> m=</span>(4-5)/(3+5)-----> m=-1/8

step 2
with C(3,4) and m=-1/8
find the equation of a line
y-y1=m*(x-x1)-----> y-4=(-1/8)*(x-3)----> y=(-1/8)*x+(3/8)+4
y=(-1/8)*x+(3/8)+4----> multiply by 8----> 8y=-x+3+32
8y=-x+35
the standard form is Ax+By=C
so
x+8y=35
A=1
B=8
C=35

the answer is
x+8y=35


7 0
3 years ago
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