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nadezda [96]
3 years ago
12

Find the x-intercepts of the parabola with vertex (-3,-18) and y-intercept at (0,0)

Mathematics
1 answer:
statuscvo [17]3 years ago
5 0
Y + 18 = a(x + 3)^2 
<span>0 + 18 = a(0 + 3)^2 </span>
<span>18 = 9a </span>
<span>2 = a 
</span>
<span>y = 2(x + 3)^2 - 18 </span>
<span>0 = 2(x + 3)^2 - 18 </span>
<span>18 = 2(x + 3)^2 </span>
<span>9 = (x + 3)^2 </span>
<span>± 3 = x + 3 </span>
<span>-3 ± 3 = x </span>
<span>x = 0 or -6 
</span>
<span>(0, 0) and (-6, 0)</span>
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2 cars are 700 miles apart. They travel toward each other. One of the cars travels at 75mph, the other travels at 100 mph. How l
olga2289 [7]

Answer: C 4

Step-by-step explanation:

Use the formula: distance = rate x time

We can say that train 1 travels a distance of x, and train 2 travels a distance of 700 - x

The rate of train 1 is 75 mph, and the rate of train 2 is 100 mph

The time traveled for the two trains will be the same. We can represent that with the variable t.

We have the following equation for train 1:

x = 75t

For train 2, we have this equation:

700 - x = 100t

Use the Substitution Method by replacing x in the equation for train 2 with the value 75t.

700 - 75t = 100t

700 = 175t

700/175 = 4 hours.

It will take 4 hours for the two trains to meet.

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3 years ago
What is the radius of a circle if the area is 78.5 cm^2
Verizon [17]
78.5= (3.14)r^2
25=r^2
5=r
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3 0
3 years ago
Hezekiel runs 1000 m at a rateof 3 minutes per km. how long does he take to run 500 m​
lana66690 [7]

Step-by-step explanation:

1 km = 1000 m

(hence the term "kilo" which means 1000).

so. he runs 1000 m at the rate of 3 minutes per km, that means 3 minutes per 1000 m.

now, we can see the solution already with our eyes.

but let's do it formally :

the rate or ratio between time and distance must be the same for the same speed.

so,

3 min / 1000 m = x min / 500 m

500 m × 3 min / 1000 m = x min

1/2 × 3 min = x min

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so, it takes him 1.5 minutes (90 seconds) to run 500 m.

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3 years ago
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KonstantinChe [14]
The bench costs $450.
You first need to subtract the difference between the garden table and the bench from the total so they are equivalent, and then divide by two to find what the bench is on its own.
(The garden table costs $536, by the way. To find that, you just need to add its half of 900, 450, to the 86 you subtracted initially.)
Tell me if this doesn’t make sense, it’s sort of hard to explain!

4 0
3 years ago
3(2x + 1) = 12 + 3x ?
Andre45 [30]

Answer:

6x+3=12+3x

6x-3x=12-3

3x=9

x=9/3

x=3

4 0
3 years ago
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