Consider the following pair of equations:x + y = –2
y = 2x + 10
If the two equations are graphed, at what point do the lines representing the two equations intersect?
(–4, 2)
(4, 2)
(–2, 4)
(2, 4)
Answers
x=-4
y=2
We set the y coordinates equal to one another first. Since they give us one of the y coordinates as y = 2x + 10, we use it in the other equation so we can solve for the x coordinate...
x + y = -2
Since y = 2x + 10 then
x + 2x + 10 = -2
3x + 10 = -2
3x = -12
x = -12/3 = -4
Now that we have a value for the x coordinate, we can substitute it back into one of the equations to solve for the y coordinate...
x + y = -2
-4 + y = -2
y = -2 + 4
y = 2
So you now have the x and y coordinates that are the same for each equation, so that is the point of intersection...
(-4, 2)
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I have a Triangle and I need to find the side BC?
Answers
Answer:
8a+1=33
Step-by-step explanation:
you can solve 3a-2=10 by simplifying to 3a=12, so a=4. Then you replace the a in 8a+1 with 4 to get 32+1, which is 33
Answer:
33
Step-by-step explanation:
3a-2= 10
3a=12
a=4
in this equation a=4 so you substitute that value into the other equation
8(4) +1=33
Answers
g(x)-f(x)=5x-10-(3x+2)=2x-12
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Answers
7.92 g/cm³ is the density of the iron sheet.
Density is calculated by the formula:
= Mass / Volume
The mass here is 28.5 g
The Volume is:
= Volume of water after iron shot added - Volume before shot added
= 49.10 - 45.50
= 3.6 mL
The units for density is g / cm³ so you need to convert the mL to cm³.
1 cm³ = 1 mL
3.6 mL is therefore 3.6 cm³.
Density is:
= 28.5 / 3.6
= 7.92 g / cm³
In conclusion, the density of the iron shot is 7.92 g /cm³.
Find out more at brainly.com/question/8287765.
1) we have to calculate the iron volume in liters.
iron volume=second level - first level=49.10 ml-45.50 ml=3.6 ml
3.6 ml=3.6 ml(1 liter / 1000 ml)=0.0036 liters
2) we calculate the mass iron in kg.
28.5 g=28.5 g(1 kg /1000 g)=0.0285 kg.
2) we calculate the density of iron.
density=0.0285 kg / 0.0036 liters=7.92 kg/L
7.92 kg/l=7.92 kg/L(1000 g/1Kg)(1000 cm³/1 L)=7.92 g/cm³.
answer: From this information the Iron density is 7.92 Kg/L or 7.92 g/cm³.
Answers
goalpost, then places a mirror on flat on the ground, marked with an X at the center.
She then steps 1.4 meters to the other side of the mirror, until she can see the top of
the goalpost clearly marked in the X. Her partner measures the distance from her
eyes to the ground to be 1.65 meters. How tall is the goalpost? Round your answer to
the nearest hundredth of a meter.
Answers
The geometry technique that Chee uses to find the height of the goalpost is the equal ratio of the corresponding sides of similar triangles.
Correct response:
- The eight of the goalpost is approximately 16.91 meters.
Methods used to calculate the height
The length Chee is using the mirror to measure = The height of her school's football goalpost
The distance of the mirror from the goalpost = 14.35 meters
The distance on the other side of the mirror Chee steps to = 1.4 meters
The distance from her eyes to the ground =1.65 meters
Required:
How tall is the goalpost.
Solution:
By using similar triangles relationships, we have;
Which gives;
- The height of the goalpost, h ≈ 16.91 meters
Learn more about similar triangles here:
metres.
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