Answer:
Look at step-by-step explanation
Step-by-step explanation:
Work on the second equation first.
x + 5 = 40
Get all variables on one side:
x = 35
You now have the answer for the variable of x, use this on the first equation:
2x-4y=10
2(35)-4y=10
Subtract 70 from both sides:
70-4y=10
Divide both sides by neagtive 4:
-4y=-60
y=15
An acre is a unit of measure for area. One acre ie equal to 43,560 square feet. Often, an acre is a rectangle that measures 660 feet by 66 feet. However, the length and width of the rectangle can vary. An acre can actually have any shape, as long as it measures exactly 43,560 square feet. Rachel purchased 1/5 acre of land in the shape of an isosceles triangle. What is the area of the land Rachel purchased?
Answer:
area of land purchased =247
The area of the land Rachel purchased is approximately 10,055.64 square feet.
How to calculate the area?We can start by finding the area of one acre in square feet, which is given as 43,560 square feet.
To find the area of 1/5 acre, we can divide 43,560 by 5, which gives us 8,712 square feet.
Since Rachel's land is in the shape of an isosceles triangle, we need to find the base and height of the triangle in order to calculate its area. Let's call the length of the base "b" and the height "h".
We know that the area of a triangle is given by the formula:
Area = (1/2) x base x height
So, we can rearrange this formula to solve for the height:
height = 2 x Area / base
Now we can substitute in the values we know:
Area = 8,712 square feet
base = unknown
height = unknown
We also know that the triangle is isosceles, which means that two of the sides are equal in length. Let's call the length of one of these sides "s". Then the length of the base can be expressed in terms of s as:
base = 2s
We can use the Pythagorean theorem to find the height in terms of s:
s² + (h)² = (2s)²
s² + h² = 4s²
h² = 3s²
h = s x √(3)
Now we can substitute this expression for the height in terms of s into the formula we derived for the area:
Area = (1/2) x base x height
Area = (1/2) x 2s x s x √(3)
Area = s² x √(3)
We know that the area of the triangle is 1/5 of an acre or 8,712 square feet, so we can set this equal to the expression we just derived for the area and solve for s:
s² x √(3) = 8,712
s² = 8,712 / √(3)
s = √(8,712 / √(3))
Now that we know the length of one of the equal sides of the isosceles triangle, we can find the length of the base by multiplying by 2:
base = 2s
base = 2 x √(8,712 / √(3))
Finally, we can substitute in the values we just found for the base and height into the formula for the area of the triangle:
Area = (1/2) x base x height
Area = (1/2) x 2 x √(8,712 / √(3)) x √(3) x √(8,712 / √(3))
Area = 2 x 8,712 / √(3)
Area = 17,424 / √(3)
Therefore, the area of the land Rachel purchased is approximately 10,055.64 square feet.
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add the sum of 296 and 173 to their difference
What is the slope of a line parallel to the line whose equation is 2x + y = 3. Fully
reduce your answer.
Answer:
m= -2
Step-by-step explanation:
Isolate the y into slope- intercept form 2x + y = 3 -> y = -2x+3
Parallel lines have the same slope, so the slope is -2.
The slope of a line parallel to the line whose equation is 2x + y = 3 is -2.
Given that, the equation of a line is 2x + y = 3.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope of a line parallel to given line is m1=m2.
The given equation can be rewritten as y=3-2x
The standard form of an equation of a line is y=mx+c
Now, compare y=3-2x with y=mx+c, we get
Slope (m) = -2
So, slope of parallel to the line is m1=m2= -2
Therefore, the slope of a line parallel to the line whose equation is 2x + y = 3 is -2.
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Write an equation for the line parallel to g(x) = 4x + 5 and passing through the point (10,7). Write the answer in slope-intercept
form.
Answer:
y=4x-33
Step-by-step explanation:
the slope for parallel lines is the same so it would be 4
(y-y₁)=m(x-x₁)
(y-7) =4(x-10)
(y-7) =4x-40
+7 +7
y=4x-33
4
Solve the following equation: *
3x + 7 = 5x - 15
Enter your math answer
5
Solve the following equation: *
3(2x - 5) = 9x + 24
Enter your math answer
Answer:
4. x = 11
5. x = -13
Step-by-step explanation:
4. 3x + 7 = 5x - 15
-7 -7
3x = 5x - 22
-5x -5x
-2x = -22
-2x/-2 = -22/-2
x = 11
5. 3(2x - 5) = 9x + 24
6x - 15 = 9x + 24
+15 +15
6x = 9x + 39
-9x -9x
-3x = 39
-3x/-3 = 39/-3
x = -13
Hope this helps, have a great day:)
Chris wants to make ½ a batch of chocolate chip muffins. He has a recipe that calls for ¾ cup chocolate chips. If he only wants to make half a batch, then how many cups of chocolate chips should he put in?
Answer:
ge needs to use 6 tablespoon of chocolate chips
6.25w= -106.25 equals what
plz hurry!
Answer: w = -17
Plzz mark brainliest:)
W= -17 hope this helped have a great day let me know if you need help on anything else and please mark me brainliest!
Solve the question on the interval [0, 2π)
sin^2 θ - cos^2 θ = -3 sin θ - 2
Answer:
[tex]\frac{7\pi }{6} ; \ \frac{3\pi }{2} ; \ \frac{11\pi }{6}.[/tex]
Step-by-step explanation:
if 1=sin²Q+cos²Q, then cos²Q=1-sin²Q, then
2sin²Q+3sinQ+1=0;
[tex]\left[\begin{array}{ccc}sinQ=-1\\sinQ=-0.5\end{array} \ => \ \left[\begin{array}{ccc}Q=3\pi/2+2\pi *n\\Q=(-1)^n*\frac{7\pi }{6}+\pi n \end{array}[/tex]
on the interval Q=3π/2 (from the 1st equation) and Q=7π/6; 11π/6 (from the 2d equation).
1
kg = kg to g. help
g
Answer:
100 grams
Step-by-step explanation:
Formala: multiply the mass value by 100
Answer:
1,000g
Step-by-step explanation:
1kg is equal to 1,000 grams, so just convert it.
1 times 1,000 = 1,000
Find the slope (3, 7) (-2, 7)
Answer:
(-5,0)
Step-by-step explanation:
The X coordinates go down by five = -5
The Y coordinates don't change = 0
I'm pretty sure this is right :)
Hope it helped!
Answer:
Answer BelowStep-by-step explanation:
Hope this helps! <3
11. Use an inequality symbol (<,>, 2, =) to compare -26
54
A.
B. =
O C.<
O D.>
Answer:
c. less than symbol < because -26 is less than 54 because its far to the left from 54
In the diagram, c | d . Identify three numbered angles that have a measure of 124°.
2.
34
5
124°
d
7
8
<2. < 7 and <1
<2. <4 and <1
<3. <7, and <4
<2. <3 and <7
Answer:
Option (4)
Step-by-step explanation:
From the figure attached,
Lines 'c' and 'd' are the parallel lines a transversal line is intersecting these lines.
m∠2 = 124° [Corresponding angles]
m∠7 = 124° [Vertically opposite angles]
m∠2 = m∠3 = 124° [Vertically opposite angles]
Therefore, angles ∠2, ∠7 and ∠3 measure 124°.
Option (4) will be the answer.
Solve for the missing value x 2 : 26 = 4 : x
Answer:
x=52
Step-by-step explanation:
2:26
2*2:26*2
4:52
If 5x + 6 = 10, what is the value of 10x + 3 ?
Answer:
11
Step-by-step explanation:
Which statement correctly describes the relationship between the graph of f(x) and the graph of g(x)=f(x)−4?
The graph of g(x) is the graph of f(x) translated 4 units down.
The graph of g(x) is the graph of f(x) translated 4 units right.
The graph of g(x) is the graph of f(x) translated 4 units up.
The graph of g(x) is the graph of f(x) translated 4 units left.
Answer:
The graph of g(x) is the graph of f(x) translated 4 units down.
Explanation:
Given the function f(x) and g(x) = f(x)-4
This means that the function g(x) is 4 less than the function g(x) i.e the function g(x) is reduced by 4. Since the negative values on a graph are located from the origin down the negative y axis and towards the negative x axis, we can conclude that the graph g(x) translated 4 units down. of f(x). This is translated along the y axis because the function g(x) serves as the output for all values on input variable x.
The g(x) can be written as a function of y i.e we can rewrite it as y = f(x)-4.
Hence the correct option is The graph of g(x) is the graph of f(x) translated 4 units down.
what is the value of x in the equation 2/3(6x-9)=2(x+12)
Answer:
x=15
Step-by-step explanation:
hope this helps
Can someone please help, ty!!
(Will mark brainliest)
X - y/2z=3 solve for x
Answer:
x = 1 /2 yz + 3
Step-by-step explanation:
The solution of x is 6z.
To find the solution of x.
What is algebra?A part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.
Given that:
A value or values which, when substituted for a variable in an equation, make the equation true.
x-y/2z = 3
multiply 2z in both sides we get,
2z(x-y)/2z = 3 × 2z
simplify the equation,
x - y = 6z
Add y in both sides we get,
x-y+y = 6z + y
x = 6z
So, the solution of x is 6z.
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A phone company charges a base fee of $12 per month plus an additional charge per minute. The monthly phone cost LaTeX: CC can be represented by this equation: LaTeX: C=12+a\cdot mC = 12 + a ⋅ m , where LaTeX: aa is the additional charge per minute, and LaTeX: mm is the number of minutes used. Which equation can be used to find the number of minutes a customer used if we know LaTeX: CC and LaTeX: aa?
Answer: M=(c-12)-a
Step-by-step explanation:
this is because your trying to find m and 12a doesn't represent that.
Solve for x. 25 + 15x = 0
Answer:
x=−
3
5
=−1.667
Step-by-step explanation:
Answer:
[tex]\sf x=-\frac{5}{3}[/tex]Step-by-step explanation:
[tex]\sf 25 + 15x = 0[/tex]
[tex]\sf 25+15x-25=0-25[/tex]
[tex]\sf 15x=-25[/tex]
[tex]\sf \frac{15x}{15}=\frac{-25}{15}[/tex]
[tex]\sf x=-\frac{5}{3}[/tex]
Go
A triangular parking lot has two sides that are of the same length and the third side is 7 m longer. If the perimeter is 70 m, find the lengths of the sides.
Answer:
two of the sides are 21 m long and one of the sides is 28 m long
find each sum.
17+(-28
12+(-9)
-2+7
-14+(-10)
-9+(-2)
Answer:
-2834
Step-by-step explanation:
thats the answer
which of the following is equal to (1/a+a)^2 - (1/a-a)^2 ?
A) 0
B) 4
C) 1/a^2 - a^2
D) 2/a^2 - 2a^2
E) 1/a^2 - 4-a^2
Answer:
B
Step-by-step explanation:
Answer:
I think its b
Step-by-step explanation:
I tried doing the work and got 4 so I hope its b
What is the slope of the line?
Answer:
y = 2x-3.
Step-by-step explanation:
Slope is y =mx+b. If we look at the graph, the line passes by (0,-3) and (1,-1). Taking rise over run, (y/x), we can find out that y goes up 2 and x goes right 1. This means that it is a positive slope and that slope would be 2/1, simplified to just 2.
1) _______ is caused by the weight of air above an area. *
atmospheric pressure
high pressure
low pressure
2) _________ creates less pressure on the barometer *
high pressure
low pressure
3) _______ creates greater pressure on the barometer. *
high pressure
low pressure
4) Read the following statement and determine if it describes high pressure or low pressure. As air cools, it becomes more dense and sinks toward the Earth's surface spinning clockwise. *
high pressure
low pressure
is math hard or easy. comment your answer
math is hard, but sometimes it can be easy
Answer:
a little bit of bth
Step-by-step explanation:
The manager of an apartment building increases the monthly
rent of each apartment in the building by 3% each year. At
the beginning of year 1, the monthly rent of an apartment
was $500.
What was the monthly rent of the apartment at the
beginning of year 3?
Answer:
The answer is 513
Answer:545
Step-by-step explanation:
Are points B, J, and C collinear or noncollinear?
tim has two spinners
Chris claims that any fraction located between 1/7
1/9 on a number line must have a
denominator of 8. Enter a fraction that shows Chris’ claim is incorrect.
Answer:
2/15
Step-by-step explanation:
if we multiple 1/7 and 1/9 by 2 we get 2/14 and 2/18. we can then get a fraction in between such as 2/15