If the nth term of an ap is 7-4n .find its common difference
Answers
Answer 1
Answer:
Answer:
-4
Step-by-step explanation:
The multiplier of n tells you the common difference: -4.
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What is the answer to 15g+18=
The term of a geometric sequence is -3 and the common ratio is 2. Find the 8th term
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How many times greater is one hour than one minute
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This statement is true.
A pyramidal number tells the number of balls that could be stacked evenly with square bases. If were are looking for the nth pyramidal number, that is a pyramid with a square base that is n by n.
A pyramidal number tells the number of balls that could be stacked evenly with square bases. If were are looking for the nth pyramidal number, that is a pyramid with a square base that is n by n.
B:25%
C:50%
D:75%
E:100%
Answers
The answer to this question is 75%.
Hope this helps!
The answer to your question is 75%
Answers
If these are two separate questions then this is how you do it:
First the left one
)
Now the right one
%20-%207%20%3D%20x%20%2B%2035)
Hope this helped you =)
First the left one
Now the right one
Hope this helped you =)
P=11/3
Original:
29-3p+3=5(3p-8)
STEPS:
29-3p+3=15p-40
29-3p=15p-37
29=18p-37
66=18p
(66=18p) / 18/18
P=11/3 or 3 2/3
X=6
ORIGINAL:
4(x+6)-7=x+35
STEPS:
4x+24-7=x+35
4x+24=x+42
4x=x+18
3x=18
/ 3/3
Original:
29-3p+3=5(3p-8)
STEPS:
29-3p+3=15p-40
29-3p=15p-37
29=18p-37
66=18p
(66=18p) / 18/18
P=11/3 or 3 2/3
X=6
ORIGINAL:
4(x+6)-7=x+35
STEPS:
4x+24-7=x+35
4x+24=x+42
4x=x+18
3x=18
/ 3/3
Answers
OK. You asked for it. Here we go.
First, let's gather up the tools we might use ...
some things that we know about triangles:
-- Every triangle: Area = (1/2) x (length of the base) x (the height)
-- Isosceles triangle: It has two sides that are the same length.
-- Right triangle: It has one right angle in it.
The sides that meet at the right angle are called the "legs".
They form a corner there, like this _| .
-------------------------------------------
Now we can start using these tools to hack away at the problem.
Farmer Ted has an isosceles right triangle garden.
The problem asks us to figure out how long the legs are.
Before he changes anything, it looks like this _| and both of
those sides are the same length. Call it 'x' until we figure out
what it really is.
Notice that one of them is the base of the triangle, and the other one
is the height. So the area of this triangle is
(1/2) (x) (x) or (1/2) x² .
-------------------------------
Farmer Ted is never satisfied. Suddenly, one day without warning, he
comes along and makes the garden bigger. He makes one of the legs
7 ft longer, and he makes the other one 5 ft longer.
Now the length of one leg is (x + 7) and the other one is (x + 5) .
They're still the base and height of the triangle, so the area of the
bigger garden is
(1/2) (x + 7) (x + 5).
The problem says that this area is 55 square feet more than the original
area, so look out, here comes the equation :
new area = old area + bigger
(1/2) (x + 7) (x + 5) = (1/2) x² + 55
Locked in the mysterious shadowy crevices of this equation is
everything we need in order to figure out the original length of the legs ...
what we called 'x'.
At this point, we can forget about Farmer Ted, forget about the garden,
and just go back to our laboratory with this equation and solve it to find 'x'.
Let's take it slow and easy, one little step at a time:
(1/2) (x + 7) (x + 5) = (1/2) x² + 55
Multiply each side by 2 : (x + 7) (x + 5) = x² + 110
Expand (FOIL) the left side: x² + 12x + 35 = x² + 110
Subtract x² from each side: 12x + 35 = 110
Subtract 35 from each side: 12x = 75
Divide each side by 12 : x = 6.25 feet
==============================================
OK. That's a very nice number. How do we know whether it's correct ?
Let's check it out, and see if it fits the story:
Original area = (1/2 x base x height) = (0.5 x 6.25 x 6.25) = 19.53125 sq ft
One new leg = (6.25 + 7) = 13.25 ft
Other new leg = (6.25 + 5) = 11.25 ft
New area = (1/2 x base x height) = (0.5 x 13.25 x 11.25) = 74.53125 sq ft
How much bigger is the new area ?
74.53125 - 19.53125 = 55 sq ft yay !
When we start with legs that are 6.25-ft and go through the whole story,
the new area is exactly what the problem says it was. So 6.25-ft is the
correct original length of the legs, before Farmer Ted messed with it.
Please help me on these five questions.
Answers
so if talking about points on a graph then
a. x is made negative or opposite of what it is
basically, the x point would go x units from the zero line in the other way it is currently ie. reflected across the x axis
b. both x and y are positive,
basically the figure would be reflected across the x axis then reflected across the y axis (or y axis then x, doesn't matter)
c. y times 2
y is 2 times as high (gets bigger)
d. 2/3 times x
x is 2/3 as much as it was before (gets smaller)
e. 1/2 x and 1.5 y
x get's half smaller and y gets 1.5 bigger (x gets smaller, y gets bigger)
a. x is made negative or opposite of what it is
basically, the x point would go x units from the zero line in the other way it is currently ie. reflected across the x axis
b. both x and y are positive,
basically the figure would be reflected across the x axis then reflected across the y axis (or y axis then x, doesn't matter)
c. y times 2
y is 2 times as high (gets bigger)
d. 2/3 times x
x is 2/3 as much as it was before (gets smaller)
e. 1/2 x and 1.5 y
x get's half smaller and y gets 1.5 bigger (x gets smaller, y gets bigger)
A) When x is made negative, it gets reflected over the x-axis.
B) When x and y is made negative, it gets reflected over the x-axis and y-axis.
C) Every y-value from the equation would be multiplied by 2, thus changing the shape of the graph. The slope is divided by 2.
D) Every x-value from the equation would be multiplied by 2/3, thus changing the shape of the graph. The slope is divided by 2/3.
E) x-values are divided by 2 and y-values are multiplied by 1.5.
B) When x and y is made negative, it gets reflected over the x-axis and y-axis.
C) Every y-value from the equation would be multiplied by 2, thus changing the shape of the graph. The slope is divided by 2.
D) Every x-value from the equation would be multiplied by 2/3, thus changing the shape of the graph. The slope is divided by 2/3.
E) x-values are divided by 2 and y-values are multiplied by 1.5.
Answers
A and D because x is 1/3y not 3y and x times y would be 48 and yes I'm sure
A and D . That was an easy one. Good luck!
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