Given:
Side of a square = x units
The side of square is decreased by 9 units.
To find:
The expression that represents the area of the new square in square units.
Solution:
It is given that, the side of a square is x units and it is decreased by 9 units. So, the side of new square is:
[tex]\text{New side length}=x-9[/tex]
The area of a square is:
[tex]Area=(side)^2[/tex]
So, the area of the new square is:
[tex]Area=(x-9)^2[/tex]
[tex]Area=(x)^2-2(x)(9)+(9)^2[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
[tex]Area=x^2-18x+81[/tex]
Therefore, the expression for the area of the new square is either [tex](x-9)^2[/tex] or [tex]x^2-18x+81[/tex], both are equivalent.
A 6 kg rock is dropped off a 10 m cliff and hits the ground with a velocity of 12.5 m/s. How much work is done by air resistance on the rock
Answer:
9.2929
Step-by-step explanation:
The volume of a large aquarium is 210 ft3 . It is 5 ft wide and 6 ft high. What is the length of the aquarium?
Answer:
7 ft.
Step-by-step explanation:
210 / (5*6)
= 210/30
= 7 ft.
please help i give all my points
where is the drip at?
Write the exponential function
Answer: f(x)=3(2)^x (The second option)
Step-by-step explanation:
By plugging in x values from the chart into this equation, we can see it matches. For example, lets use x=3. 3*(2)^3 = 3*2*2*2 = 3*8 = 24. And 24 lines up with 3 on the chart. Solved!
Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
810
Step-by-step explanation:
[tex]V = l * w * h = 5 * 9 * 18 = 810\ cm^3[/tex]
Zachary earns $5 per hour, and he makes a $20 bonus.
His equation is shown in red on the graph, y = 5x + 20.
Maisy earns $7.50 per hour, and she makes a $5 bonus.
Her equation is shown in blue on the graph, y = 7.50x +
5.
After how many hours do they earn the same amount of
money? Where do you see this on the graph?
Answer:
6 hours
we see it at the x value of 6 on the graph
Step-by-step explanation:
I graphed it too using desmos then located the point where they cross, the solution point, and it was at the x value of 6 and they will have made $50 by the way in case you wanted to know that too so we see that on the graph at the point (6,50) is where they make the same amount of money.
The expected value of the number of points for one roll is
A) 0
B) 3
C) 6
Answer:
A) 0
Step-by-step explanation:
got right on assignment
90%in the SIMPLEST form
Answer:
[tex]90\% = \frac{90}{100} \\ = \frac{9}{10} = 0.9[/tex]
Answer:
The simplest form of
90/100
is
9/10
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 90 and 100 is 10
Divide both the numerator and denominator by the GCD
90 ÷ 10
100 ÷ 10
Reduced fraction:
9
10
Therefore, 90/100 simplified to lowest terms is 9/10.
Plot these points in the graph:
f(x)=(x+1)(x-5)
Answer:
graph based on step by step
Step-by-step explanation:
Graph the x intercepts, when x=0 set x+1=0 and x-5=0 and you get x=5 and x=-1, these are the points when y=0. then you can foil them out and see the way the parabola is structured, then you see that the middle of the intercepts is x=2, plug that into the equation either in intercept form of standard (foiled) and find the maximum/minimum
Laura drove 638 miles in 11 hours at the same rate how long would it take her to drive 406 miles
Answer:
Step-by-step explanation:
This is a d = rt problem; but since it is linear, then proportions will work too. Set up the proportion with miles on top and hours on the bottom:
[tex]\frac{miles}{hrs}:[/tex]
Then put the numbers in where they go, keeping in mind that miles goes with miles and hours goes with hours in the ratios, and that our unknown is time (hours):
[tex]\frac{miles}{hrs}:\frac{638}{11}=\frac{406}{x}[/tex] and cross multiply to solve:
638x = 4466 so
x = 7 hrs
Plot the points (2, 5), (2, -4), (10, 5), and (10, -4) on a coordinate plane. What is the perimeter of this polygon?
Answer:16
Step-by-step explanation:
i just need to the points sorry dude
What's the value of X for the figure below?
Answer:
75+30+x+30+x+75=360
210+2x=360
2x=360-210
2x=150
x=150/2
x=75
Step-by-step explanation:
therefore x=75 degree
Drag each length to match it to an equivalent length. 2 yards 5 inches returned to choices list. 2 feet 8 inches4 yards9 feet2 yards 5 inches Length Equivalent Length 32 inches 77 inches 144 inches 3 yards
Answer:
2 yards 5 inches will be equivalent to 77 inches
Step-by-step explanation:
Given length -
2 yards 5 inches
One yard has 36 inches
Two yards will have 2*36 = 72 inches
Thus, 2 yards 5 inches will sum up to 72 inches + 5 inches = 77 inches
Hence, 2 yards 5 inches will be equivalent to 77 inches
Answer:
3 yards = 9 feet
77 inches = 2 yards 5 inches
48 inches = 1 yard 1 foot
32 inches = 2 feet 8 inches
I hope this helped!! <3
Find the value of x. Help fast me need help
Answer:
(5x + 16) + 102 + 92 + 100 = 360
(5x + 16) + 294 = 360
-294 -294
5x + 16 = 66
-16 -16
5x = 50
Divide by 5 on both sides.
x = 10 degrees
A quadrilateral will always equal 360 degrees
A triangle will always equal 180 degrees.
Dev has 9 shells. Zoe has 55 shells. Zoe gives some shells to Dev. Now Zoe has 3 times as many as Dev.
How many shells does Zoe give to Dev?
Answer:let the initial number of shells that dev has be A, and initial number of shells that zoe has be B. let the number of shells that zoe gives to dev be x. after giiving x shells zoe is left with 3 times the number of shell as that of dev. therefore number of shells with zoe = 3×number of shells with dev.
Step-by-step explanation:
Three yams are chosen at random from 15 tubers of which 5 are spoilt Find the probability that, of the three chosen tubers (A) none is spoilt. (B) all are spoilt. (C) exactly one is spoilt. (D) at least one is spoilt
Step-by-step explanation:
.....................
Can someone help me with this ?
Answer:
Step-by-step explanation:
the side opposite of K is JL.
Verona is solving the equation -3+4x=9. In order to isolate the variable term using the addition property of equality, which number should she add to both sides of the equation?
Answer: he should add 3
Step-by-step explanation: he should add 3 because then you have 4x=12 and that simplifies to x=3
What is the probability of flipping a coin 12 times and getting heads 3 times?
Round your answer to the nearest tenth of a percent.
Answer:
1/4
Step-by-step explanation:
We put 3 /12 which is 1/4 simplified
Glad I could help!!1
Here's the number line what fraction of 1 foot is 3 inches what fraction of one yard is 3 inches explain
Answer:
1/4 and 1/12
Step-by-step explanation:
We know that
1 foot = 12 inches
therefore, 1 inch = 1/12 foot
hence, 3 inches = 3/12 foot
= 1/4.
Therefore, the required fraction is = 1/4
Similarly,
1 yard = 36 inches
This implies 1 inch = 1/36 yard
Hence, 3 inches = 3/36 = 1/12
Therefore, the required fraction = 1/12
For what value of k is the expression x4+kx2+36 a perfect square?
Answer:
12
Step-by-step explanation:
Because if you see clearly that is the only answer that makes the most sense!
The value of m is the expression x⁴ + mx² + 64 a perfect square will be 16.
What is a perfect square trinomial?A perfect square trinomial formulation can be created by taking the binomial equation's squared. If and then only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is indeed a perfect square.
The equation is given below.
⇒ x⁴ + mx² + 64
Then the value of a, b, and c will be 1, m, and 64, respectively. Then the equation will be given as,
b² = 4ac
m² = 4 x 1 x 64
m² = 265
m² = 16²
m = 16
The value of m is the expression x⁴ + mx² + 64 a perfect square will be 16.
More about the perfect square trinomial link is given below.
brainly.com/question/16615974
#SPJ3
complete question:
For what value of m is the expression x4+mx2+64 a perfect square?
Find the square roots of the following numbers. Give the steps correctly.
\sqrt {19.9 }
Please give me the answer .
Answer:
the sqare root of 19.9 is 4.46094160464
Find the missing side of the triangle.
Solve for X
Answer:
11.18 or 11 yards
Step-by-step explanation:
15² - 10² = x²
225 - 100 = x
225 - 100 = 125
√125 = 11.180339887498948482045868343656
11.180339887498948482045868343656 rounded to the nearest hundredth is 11.18; to the nearest tenth is 11.2; and to the nearest one is 11.
How does the graph of g(x) = x+ 5 compare with the graph of the parent
function, f(x) = X?
A. The graph of g(x) is compressed vertically by a factor of 5.
B. The graph of g(x) is compressed horizontally by a factor of 5.
C. The graph of g(x) is shifted 5 units up.
D. The graph of g(x) is shifted 5 units to the right.
Answer:
C. The graph of g(x) is shifted 5 units up.
Step-by-step explanation:
The transformation shown shows a vertical translation.
[tex]f(x)=x\pm d\\\\\text{Vertical translation up/down 'd' units.}[/tex]
The graph would move f(x) five units up.
Hope this helps.
formulas of a triangular prism
Answer: Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.?
Step-by-step explanation:
What is the missing term?
Answer:
Missing term = 6x
Step-by-step explanation:
We got:
=> 4x by multiplying +4 and x (x * 4 = 4x)
=> 12 by multiplying +4 and +3 (4 * 3 = 12)
=> 2x² by multiplying 2x and x (2x * x = 2x²)
Similarly we will get the "missing term" by multiplying 2x and +3
=> Missing term = 6x, (2x * 3 = 6x)
Hope this helps!
After visiting the Titanic, Captain Ngoc and Commander Chris are taking the SSN-21 Seawolf submarine back to the surface of the water. They start 2000 meters below the surface of the water and ascend at 55 meters per hour. A) Write an equation in slope-intercept form to model this situation where D is the distance under water and H is the time in hours. B) How many meters below the surface is the submarine after 6 hours?
Answer:
D(h) = 55h - 2000
1670 m
Step-by-step explanation:
Given :
Starting elevation, D = - 2000 m (2000 m below sea level)
Rate, h = 55 m per hour.
The slope - intercept relation :
y = mx + c
m = slope = rate of change
c = intercept
In the scenario given :
-2000 = intercept
55 = rate of change
D(h) = 55h - 2000
After 6 hours :
D(6) = 55(6) - 2000
D(6) = - 1670 m
Find the discriminant of 3x^2 - 10x = -2
I don't know what a discriminant is help
What is the shape of this distribution
1. {26, 21, 28, 31, 9, 28, 16, 18, 21, 23, 29, 24, 19, 22, 25, 28}
Find the mean.
Find the Medium
Find the mode(s)
Find the range
Mean=23
Median=21.5 its a hard one to do so yeah
Modes=28
Range=22