Area = (x - 5)(x – 7)
Area = x(x - 7) - 5(x - 7)
Area = x^2 -7x -5x + 35
Area = x^2 -12x + 35
algebraic expression that represents its area: x^2 -12x + 35
x^2 - 12x + 35 = 195
x^2 - 12x + 35 - 195 = 0
x^2 - 12x - 160 = 0
x^2 - 8x - 20x - 160 = 0
x (x + 8) - 20 (x + 8) = 0
(x + 8) (x - 20) = 0
(x + 8) = 0
(x - 20) = 0
x = - 8 (not a solution)
x = 20
hence,
length = x - 5
length = 20 - 5
length = 15 m
width = x - 7
width = 20 - 7
width = 13 m
perimeter = 2(13) + 2(15)
perimeter = 26 + 30
perimeter = 56 m²
The perimeter of the terrain is 56 m²
What is Area of Rectangle?The area of Rectangle is length times of width.
Given,
The sides of a rectangular terrain are given by the expressions (x - 5) and
(x – 7) meters.
Given area of rectangle is 195 m²
Area of rectangle= (x - 5) (x - 7)
195=x(x-7)-5(x-7)
195=x²-7x-5x+35
195=x²-12x+35
x²-12x+35-195=0
x²-12x-160=0
x²-8x-20x-160 = 0
x (x+8)-20(x+8)=0
(x-20)(x+8)=0
x=20 and x=-8
Length x-5=20-5=15
x-7=20-7=13
So length is 15m and width is 13m
the perimeter of the terrain =2(Length + width)
=2(15+13)
=2(28)
=56 m²
Hence the perimeter of the terrain is 56 m²
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Determine if each quotient is correct.
Choose true or false for each equation.
A. -4 ÷ 1 = -4 true or false
B. -6 ÷ (-2) = -3 true or false
C. -7 ÷ (-7) = 1 true or false
D. 10 ÷ (-5) = 2 true or false
24xy-10y-18x from 13xy+12y+14x with explanation
Answer:
24xy+2y−234x2fromy+14x
Step-by-step explanation:
24xy−10y−(18×13)xxfromy+12y+14x
24xy−10y−234xxfromy+12y+14x
24xy−10y−234x2fromy+12y+14x
24xy+(−10y+12y)−234x2fromy+14x
Sometimes two transformations, one performed after the other, have a nice description as a single transformation. For example, instead of translating 2 units up followed by translating 3 units up, we could simply translate 5 units up. Instead of rotating 20 degrees counterclockwise around the origin followed by rotating 80 degrees clockwise around the origin, we could simply rotate 60 degrees clockwise around the origin.
Can you find a simple description of reflecting across the x-axis followed by reflecting across the y-axis?
Answer:
We rotate the point counterclockwise by an angle θ = tan⁻¹ (y/x)
Step-by-step explanation:
If we have the point (x, y), its reflection along the x-axis (x,-y). The reflection of the point (x, -y) along the y - axis is (-x, -y). So, the angle between the initial point (x, y) and the final point (-x, -y) is θ = tan⁻¹ [(-y - y)/(- x -x)] = tan⁻¹ [(-2y/(-2x)] = tan⁻¹(y/x).
So, the point (x, y) is rotated counterclockwise by an angle of θ = tan⁻¹ (y/x) to perform both reflections.
Find the values of the variables :)
Answer:
x = 6 , y = 4 , 2 units
Step-by-step explanation:
2y - 6 = y - 2 ⇒ y = 4
3x - 16 = y - 2
3x - 16 = 4 - 2
3x = 18 ⇒ x = 6
Length of sides of square is 2 units
77 is 56% of what number
Answer:
137.50
Step-by-step explanation:
please give branliest
Answer:
137.5 I think I might be wrong..
16+(18+10)=(x+18)+10
Answer: x=16
Step-by-step explanation: 16 + 18 + 10 = 44
44 = x + 28
16 = x
Please help its 7to10 please as fast as possible I wanna sleep
Answer:
7. 2b and b are like terms, [tex]b^{6}[/tex] and 3[tex]b^{6}[/tex] are like terms
8. 6 and 7 are like terms, 2n and [tex]\frac{n}{4}[/tex] are like terms
9. m and 2m are like terms, 3³ and 2 are like terms
10. 6³ and 6² are like terms, y³ and 5y³ are like terms
Step-by-step explanation:
The like terms are the terms that have the same variable with the same powerAll numerical rational terms are like termsThe numerical terms with the same radical are like termsLet us solve from No. 7 to No. 10
#7
∵ The terms are 2b, [tex]b^{6}[/tex], b, [tex]x^{4}[/tex], 3[tex]b^{6}[/tex], 2x²
∵ 2b and b have the same variable and the same power
∴ 2b and b are like terms
∵ [tex]b^{6}[/tex] and 3[tex]b^{6}[/tex] have same variable b and same power 6
∴ [tex]b^{6}[/tex] and 3[tex]b^{6}[/tex] are like terms
#8
∵ The terms are 6, 2n, 3n², 6m², [tex]\frac{n}{4}[/tex], 7
∵ 6 and 7 are numerical rational terms
∴ 6 and 7 are like terms
∵ 2n and [tex]\frac{n}{4}[/tex] have the same variable and the same power
∴ 2n and [tex]\frac{n}{4}[/tex] are like terms
#9
∵ The terms are 10k², m, 3³, [tex]\frac{p}{6}[/tex], 2m, 2
∵ m and 3m have the same variable and the same power
∴ m and 2m are like terms
∵ 3³ and 2 are numerical rational terms
∴ 3³ and 2 are like terms
#10
∵ The terms are 6³, y³, 3y², 6², y, 5y³
∵ 6³ and 6² are numerical rational terms
∴ 6³ and 6² are like terms
∵ y³ and 5y³ have the same variable and the same power
∴ y³ and 5y³ are like terms
Omar wants to purchase a new bicycle for $134.45 and helmet for $22.55.
If the sales tax rate is 8%, what will be the total amount of sales tax?
Answer:
12.56
Step-by-step explanation:
143.45+22.55=157.00
157×.08= 12.56
(SHOW YOUR WORK) 67.5+23.57
Find the LCM of 3, 5, and 20.
Plz help
Answer:
60
Step-by-step explanation:
3×20 is 60, and it works with 5, and it is the smallest possible Multiple
Answer:
60
Step-by-step explanation:
Find the prime factorization of each number:
3 = 3
5 = 5
20 = 2^2 * 5
LCM = product of common factors with greatest exponent and non-common factors.
LCM = 3 * 5 * 2^2 = 15 * 4 = 60
Jade borrowed $5,000 from a bank to buy a car. She will pay back the loan in 3 years with simple interest, at an interest rate of 18% per year. What is the total amount that she will pay after 3 years?
pls i will give brainly
Answer:
$2,700
Step-by-step explanation:
Step-by-step explanation:
borrowed amount -$5000
interest rates -18% per year(3 years interval)
18/100 × 5000/1 =
90000/100=900
900×3=
2700
I.e in 3yrs she will pay
5000+2700=$7700
Which table represents a linear function?
Answer:
The third graph
Step-by-step explanation:
When using slope, all of them need to be constant. TO be linear.
Find the slope!! Pls help
Answer:
1/3
Step-by-step explanation:
The slope goes up one over three. if u need a whole equation then it would be y=1/3x
if you need a slope intercept equation then it would be y=1/3x-4.
Answer: -5,3
Step-by-step explanation: the bottom boxes on the left are negative so i counted until the dot was and thats how i got my negative five. For the three I did the same thing just the right side inst negative so that is how i got 3.
Carson just lit a new candle and then let it burn all the way down to nothing. The
candle burned at a rate of 1.25 inches per hour and its initial length was 10 inches.
Make a table of values and then write an equation for L, in terms of t, representing
the length of the candle remaining unburned, in inches, t hours after the candle was
lit.
Number of Hours Burning Length of Candle Remaining (Inches)
0
10
1
1
2
3
Answer:
Step-by-step explanation:
L = 10 - 1.25t
t = 1 ⇒ L = 10 - 1.25 = 8.75 inches
t = 2 ⇒ L = 10 - 1.25(2) = 7.5 inches
t = 3 ⇒ L = 10 - 1.25(3) = 6.25 inches
Please help ! Super easy
Answer:
I am not certain but I think division
Answer:
I think you use division to get rid of them.
Step-by-step explanation:
Hope this helps
Write the algebraic notation for dilation with a scale factor of ½
Answer: (x, y) goes to (1/2x, 1/2y)
Step-by-step explanation:
One out of 3 gym members say they spent 5 hours per week at the gym. If there are 150 people working out at the gym, how many will most likely spend 5 hours at the gym this week?
Answer: 50
Step-by-step explanation:
From the question, we are informed that 1/3 of gym members say they spent 5 hours per week at the gym.
Assuming there are 150 people working out at the gym, the number of people that'll most likely spend 5 hours at the gym this week will be calculated by multiplying 1/3 by 150. This will be:
= 1/3 × 150
= 50 people
help me slove this---------
Answer:
x = 48 degrees
Step-by-step explanation:
Total internal angles:
180 degrees * 3
= 540 degrees
540-105-102-93
= 240
240 = 5x
x = 48
PLS GIVE BRAINLIEST
Answer:
2x = 96º
3x = 144º
Step-by-step explanation:
sum of all angles ina pentagon is 540, so:
2x+3x+105+93+102 = 540
5x+ 300 = 540
5x = 540-300
5x = 240
x = 240/5
x = 48
3x = 48.3
3x = 144
2x = 48.2
2x = 96
proof:
105+93+102+144+96 = 540
[tex](-4)(-2)-6(2-5)[/tex]
Answer:
26
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define expression
(-4)(-2) - 6(2 - 5)
Step 2: Evaluate
Parenthesis (Subtract): (-4)(-2) - 6(-3)Multiply: 8 + 18Add: 26The formula for the volume of a cylinder is V = arh.
Solve v = 12h for h, the height of the cylinder.
Answer:
A
Step-by-step explanation:
You would divide it by pie r squared to get h then flip the equation around so it would be
h= v/ pie r squared
Answer:
A) H= V/ π r^2Explanation
V = π r^2 H
V = π × r × r × H
V/ π r^2 = H
H = V/π r^2
Find the area of the square.
3
3-m
m2
Help please ASAP
Answer:
7 is the answer hope it will help you
Answer:
l = 12.25 m²
Step-by-step explanation:
Here, l = 3½ m = 3.5m
∴ Now, The area of a square is
= l²
= (3.5)² m
= 12.25 m²
Thus, The area of a square is 12.25 m²
-TheUnknownScientist
Kiran has LaTeX: 10\frac{1}{2} 10 1 2 feet of lumber and wants to make a bookshelf. Kiran needs two side panels that are each LaTeX: 5\frac{2}{3} 5 2 3 feet. How much more lumber does Kiran need in order to make the side panels? A) LaTeX: \frac{5}{6} 5 6 feet B) LaTeX: \frac{1}{2} 1 2 feet C) LaTeX: 1\frac{5}{6} 1 5 6 feet D) LaTeX: 1\frac{1}{2} 1 1 2 feet
Answer:
A) LaTeX: \frac{5}{6} 5 6 feet
Step-by-step explanation:
Kiran has 10 1/2 feet of lumber and wants to make a bookshelf.
Kiran needs two side panels that are each 5 2/3 feet.
1 side panel = 5 2/3 feet
2 side panels =
2 × 5 2/3
2 × 17/3
= 34/3
= 11 1/3 feet
Kiran would need 11 1/3 feet of lumber.
Kiran already has 10 1/2 feet
How much more lumber does Kiran need in order to make the side panels?
This is calculated as:
11 1/3 - 10 1/2
11 - 10 + (1/3 - 1/2)
1 + ( 2 - 3/6)
1 + (-1/6)
1 - 1/6
= 5/6
Hence, Kiran need 5/6 feet more of Lumber.
What is y? (look at the picture I attached, thank you!)
Answer:
[tex]y = \frac{19}{5} [/tex]
Step-by-step explanation:
[tex] \frac{2y - 4}{y + 7} = \frac{1}{3} [/tex]
or, 3(2y-4) = 1(y+7)
or, 6y-12 = y +7
or, 6y-y = 7+12
or, 5y = 19
or, y = 19/5
Answer:
y=19/5
Step-by-step explanation:
Hope this helps!
What is 3w=6
W=
Pls help
Answer:
The answer is 2.
Step-by-step explanation:
hope that helps
3w=6
divide by 3 both side
3w÷3=6÷3
W=2
A salesperson's commission rate is 4%. What is the commission from the sale of $37,000 worth of furnaces? Use pencil and paper. Suppose sales would double. What would be true about the commission?
Answer:
The earnings will doubleStep-by-step explanation:
Step one:
given data
we are told that the sales person's earnings is 4% of the sales made.
given that the sales made is $37,000 worth of furnaces.
Step two:
we want to find 4% of $37,000
=4/100*37000
=0.04*37000
=1480
hence for $37,000 the earning will be $1480.
Now suppose sales is doubled that is 37000*2= 74000
we want to find 4% of $74,000
=4/100*74000
=0.04*74000
=2960.
the earnings is $2960.
So if sales doubles the earnings will double
What is the value of x in the equation 2.5(5x-5)=10+4(1.5+0.5x)
Answer:
x= 19/7
Step-by-step explanation:
Please help i need submit it in 10 mins! show work! i will mark brainliest!
Answer:
C and D is the answer.
Step-by-step explanation:
If m∠5 = x°, according to the Corresponding Angle Theorem, m∠9 will equal the same, and because 9 and 12 are vertical angles, both of these will be the same measure.
Lisa and Tim make necklaces. Lisa uses 5 red beads for every 3 yellow beads Tim uses 9 red beads for every 6 yellow beads Is the ratio of red beads to yellow beads in lisas necklace equivalent to the ratio in tim's necklace?
Answer:
No
Step-by-step explanation:
Lisa: 5 red beads to 3 yellow beads
Tim: 9 red beads to 6 yellow beads
5/3 & 9/6
5/3(2/2) = 10/6
10/6 & 9/6
10/6 > 9/6
10/6 is in fact greater than 9/6. So the answer is no.
At the beginning of spring, Samantha planted a small sunflower in her backyard. When it was first planted, the sunflower was 20 inches tall. The sunflower then began to grow at a rate of 1 inch per week. How tall would the sunflower be after 4 weeks? How tall would the sunflower be after w weeks?
Answer:
24 inches
Step-by-step explanation:
Solve.
4 - 2x = 10
A)-7
B)-3
C)0
D)3
Answer: The answer should be B) -3. To solve the equation you have to rewrite the equation.