Answer:
vertex = (4, - 8 )
Step-by-step explanation:
The equation of a quadratic in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
f(x) = (x - 4)² - 8 ← is in vertex form
with (h, k ) = (4, - 8 ) ← coordinates of vertex
If both printers work together. Then the number of the pamphlets will be 20x in four hours.
<h3>What is Algebra?</h3>
Algebra is the study of mathematical symbols, and the rule is the manipulation of those symbols.
A local print shop has a big order of pamphlets to print, so they decide to use two of their printers for the one job.
The newest printer can print the pamphlets four times as fast as the old printer Working together the printers can complete the job in 4 hours.
Let x be the number of the pamphlets are printed by the old printer in one hour.
Then the number of the pamphlets are printed by the new printer in one hour will be 4x.
Then if they work together, then the number of the pamphlets in one hour will be 5x.
Then the number of the pamphlets in 4 hour will be
→ 5x × 4
→ 20x
More about the Algebra link is given below.
brainly.com/question/953809
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Answer: the answer is 1
Step-by-step explanation:
Answer:
The first transit on one side of the trench is 18 ft higher than the other side of the trench. The transit is set at 4.5 above ground, therefore the transit lens is 18' + 4.5' = 22.5' above the location on the other side of the trench. The angle of depression is the angle formed by the horizontal and the line of sight to the other side and it is given as 31°. This forms a right angle triangle with height of 22.5' and an interior angle of 31°, Then
tan( 31°) = Height / base, with the base representing the width of the trench
base = Height / tan(31°) = 22.5' / tan(31°) = 37.45' is the width of the trench
Answer:
The required specific heat is 196.94 joule per kg per °C
Step-by-step explanation:
Given as :
The heat generated = Q = 85.87 J
Mass of substance (m)= 34.8 gram = 0.0348 kg
Change in temperature = T2 - T1 = 34.29°C - 21.76°C = 12.53°C
Let the specific heat = S
Now we know that
Heat = Mass × specific heat × change in temperature
Or, Q = msΔt
Or, 85.87 = (0.0348 kg ) × S × 12.53°C
Or , 85.87 = 0.4360 × S
Or, S = 
∴ S = 196.94 joule per kg per °C
Hence the required specific heat is 196.94 joule per kg per °C Answer
