Find the distance from point (-1, 3) to the line 5 x - 4 y = 10.
Answers
Answer:
The answer is (27sqrt41)/41 on Odessyware
Step-by-step explanation:
We could use the formula, derive the formula, or just work it out for this case. Let's do the latter.
The distance of a point to a line is the length of the perpendicular from the line to the point.
So we need the perpendicular to 5x-4y=10 through (-1,3). To get the perpendicular family we swap x and y coefficients, negating one. We get the constant straightforwardly from the point we're going through:
4x + 5y = 4(-1)+5(3) = 11
Those lines meet at the foot of the perpendicular, which is what we're after.
4x + 5y = 11
5 x - 4y = 10
We eliminate y by multiplying the first by four, the second by five and adding.
16x + 20y = 44
25x - 20y = 50
41x = 94
x = 94/41
y = (11 - 4x)/5 = 15/41
We want the distance from (-1,3) to (94/41,15/41)
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Final answer:
The mass of the silver ingot is found by multiplying its volume with the density of metallic silver. The volume is calculated using the ingot's dimensions, and the final mass is approximately 5186.16 grams.
Explanation:
To determine the mass of a silver ingot based on its dimensions and density, we can use the formula mass = density × volume. First, we calculate the volume of the ingot by multiplying its length (28.0 cm), width (4.90 cm), and thickness (3.60 cm):
Volume = length × width × thickness
= 28.0 cm × 4.90 cm × 3.60 cm
= 493.92 cm³
Next, we use the density of metallic silver, 10.50 g/cm³, to find the mass:
Mass = density × volume
= 10.50 g/cm³ × 493.92 cm³
= 5186.16 g
The mass of the silver ingot is therefore approximately 5186.16 grams.
Learn more about calculating mass here:
#SPJ2
Answer:
5190 g
Step-by-step explanation:
Calculate the volume:
28.0 cm × 4.90 cm × 3.60 cm = 493.92 cm³
Density is mass divided by volume:
D = M / V
Solving for mass:
M = D V
Substituting values:
M = (10.50 g/cm³) (493.92 cm³)
M = 5186.16 g
Rounding to three significant figures, the mass is 5190 g.
Answers
To do this, we divide what she runs in one day, by the length of one lap
4km / 400m
TO make this easier, we change to units of one number to make them both the same
We will turn them both into meters
4km = 4000m (1km is equal to 1000m, therefore we multiply by 1000)
4000/400 = 10 laps per day
Now we want to find out how many laps are completed in 3 days
If 1 day is equal to 10 laps and we want 3 days, we multiply 10 laps by 3 days
10 x 3 = 30 laps
Kali runs 30 laps in 3 days
144 meters
2 meters
1 meter
Answers
24m^2 = (5m + 7m)/2 x h
24m^2 = 12m/2 x h
24m^2 = 6m x h
Divide both sides of the equation by 6m
24m^2 / 6m = 6m/6m x h
4m = h
The height is 4m
Answers
Answer: 8(3-2x)(x+5), -16x^2-56+120, x=-5, or x=3/2.
Step-by-step explanation:
First convert the multi fraction into multiplication: 8(3-2x)(x+5)
Then simplify: -16x^2-56+120
If you want, you can solve for x, which gets you x=-5, or x=3/2.
I hope this helps! :P
Answers
16/18=8/9
if you divide 16 and 18 by 2, you get 8 and 9
Nice days.......
Please help me! I will give branliest answer! Thank you!
Answers
(-4.8)(6.3x)+(-4.8)(-4.18)=-58.56
-30.24x+20.064=-58.56
-20.064 from both sides
-30.24x=-78.624
divide both sides by -30.24 to get x by itself
-30.24x/-30.24=-78.624/-30.24
x=2.6