Answer:
4
Step-by-step explanation:
You would complete the square by dividing the b value by 2, and then squaring it. In this case, the b value is -4. You would divide -4 by 2 and get -2. Now, you would square -2, and you would get 4.
Help me plz. The sides of a rectangular terrain are given by the expressions (x - 5) y
(x – 7) meters. Determine an algebraic expression that represents its area.
Once the expression is obtained, what are the measures of the terrain, so its
area is 195 m² ? What is the perimeter of the terrain?
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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This talented group of dogs has 25 yards of ribbon. They want to cut the ribbon to make bows and awards. If each piece of ribbon needs to be 3/4 of a yard, how many bows will they be able to make?
Answer:
18.75 bows
Step-by-step explanation:
This talented group of dogs has 25 yards of ribbon. They want to cut the ribbon to make bows and awards. If each piece of ribbon needs to be 3/4 of a yard, how many bows will they be able to make?
The total number of yards =25 yards
Each piece of ribbon = 3/4 of a yard
Hence, the number of bows they can make is:
3/4 × 25 yards
= 18.75 bows.
What is the vertical intercept (or y-intercept) of the line below?
(0,6)
(-3,0)
Answer:
-6 ?
Step-by-step explanation:
a spinner with 10 equally sized slices has 2 red slices, 4 blue slices, and yellow slices. The dial is spun and stops on a slice at random. What is the probability that the dial stops on a red slice.
(Write your answer as a fraction in simplest form).
Since there are 10 total slices and 2 are red the probability of the dial stopping on a red slice is 2/10. But in simplest form 1/5.
The probability that the dial stops on a red slice is 1/5 or 20%.
What is Probability?The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
In order to better grasp probability, let's look at a straightforward example. Let's say we need to forecast if it will rain or not. Either "Yes" or "No" is the appropriate response to this query.
Given:
number of total slices = 10
Red slices = 2
Blue slices= 4
Yellow slices= 10- 6 = 4
Now, probability that the dial stops on a red slice
=2/10
=1/5
=1/5 x 100
=20%
Hence, the probability that the dial stops on a red slice is 1/5 or 20%..
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EASY QUESTION HELP AND HURRRYYYYY!!!!
Answer:
d
Step-by-step explanation:
Answer:
D, s=v
Step-by-step explanation:
although its scaled, the angles are equal to each other. pls brainliest im new and never got brainliest before thx appreciate it
Kale is hiking 2,345 ft above sea level. The peak of the mountain he is climbing is 3,283 feet above sea level . What is the vertical distance between kale and the mountain peak ?
938 ft
942 ft
1,142 ft
5,628
Answer:
a
Step-by-step explanation:
Answer:
so A. is the correct answer
Step-by-step explanation:
If Kale is at 2345 feet and needs to reach 3283, he will need to travel another 938 feet.
Can somebody please help me solve question 20
Answer:
35 + 37
Step-by-step explanation:
if you try any other number like: 37 + 39 = 76 that doesn't work well because its higher that 75.
suppose an elevator starts at the top floor of a high rise building at a height of 500 feet above the ground floor and descends without stopping at a rate of 17 seconds
Write a function that describes the height, h of the elevator after t seconds in function form
Answer:
answer is in the picture
Step-by-step explanation:
hope this helps
What is the binary number for 12
Step-by-step explanation:
[tex]12=8+4=2^3+2^2=\bold1\cdot2^3+\bold1\cdot2^2+\bold0\cdot2^1+\bold0\cdot2^0\\\\12_{10}=1100_2[/tex]
1 half + 10 = 1 fourth + 54.
x=_______?
Answer: First of all thats wrong. 1/2 + 10 = 10 1/2 and 1/4 + 54 = 54 1/4
Step-by-step explanation:
The tuition and fees at a two-year college are $135 per credit hour. If Tyler takes h credit-hours, write an expression for the cost of his tuition and fees.
Answer:
t=135h, where
t is the cost of tuition and fees
his the number of credit hours
Step-by-step explanation:
Given that the tuition and fees at a two-year college are $135 per credit hour, the expression to calculate the cost of Tyler's tuition and fees would indicate that is equal to the result of multiplying the price per credit hour for the number of hours:
t=135h, where
t is the cost of tuition and fees
his the number of credit hours
PLEASE HELP I WILL GIVE YOU BRAINLEST!!!!!!!!!!!!!!
Answer:
the answer is 45 because 55+45=100
Step-by-step explanation:
brainliest pls
Answer:
he scored 45 points in the 3rd. for the second part i dont know how to do
somebody please help
Answer:
169
Step-by-step explanation:
13²
=169
How to solve 2-step equations
Answer/Step-by-step explanation:
1) First, add or subtract both sides of the linear equation by the same number.
2) Secondly, multiply or divide both sides of the linear equation by the same number.
3)* Instead of step #2, always multiply both sides of the equation by the reciprocal of the coefficient of the variable.
Need help ASAP Integrated math 2
Answer:
∠ C
Step-by-step explanation:
sin C = 14 / 50 = 7 / 25
Answer:
<C
Step-by-step explanation:
7/25 = 14/50
sin X = opp/hyp = 14/50
opp = 14
The angle whose opposite leg is 14 is <C.
Answer: <C
Pl help me quickly!!!!!!!!!!!
Answer:
12% i thinkkkk
Step-by-step explanation:
Answer:
12 percent
Step-by-step explanation:
Amy has ridden 12 percent so far. You can just set up a proportion for this probelm
1 Set up equation 3/25 = %/100
2 Solve the equation by multiply 3 and 100 then divide by 25.
3 Finally your answer should be 12.%
pls mark brainliest because i didnt waste your time
what does x= but it has to equal 10
Answer:
No solutions.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
-2(4 - 3x) - 6x = 10
Step 2: Solve for x
Distribute -2: -8 + 6x - 6x = 10Combine like terms: -8 ≠ 10Here we see that -8 does not equal 10.
∴ This equation has no solutions.
Factor this polynomial expression.
x2 - 25
O A. (x - 25)(x - 25)
O B. (x+ 5)(x - 5)
C. (x - 5)(x - 5)
O D. (x+25)(x - 25)
Answer:
(x+5)(x-5)
Step-by-step explanation:
x^2 - 25
This can be written as
x^2 - 5^2
We know that this is the difference of squares
a^2 - b^2 = ( a+b) ( a-b)
x^2 - 5^2 = (x+5)(x-5)
Answer:
B. (x + 5)(x - 5)
Step-by-step explanation:
Factor the following:
[tex] \longrightarrow [/tex] x² - 25
25 = 5²:
[tex] \longrightarrow [/tex] x² - 5²
Factor the difference of two squares.
a² - b² = (a + b)(a - b):
[tex] \longrightarrow [/tex] (x + 5)(x - 5)
Zach saved x dollars over the last year. Mina saved more than Zach. Which equation can be used to find how much money Mina saved last year
Answer:
M > X
Step-by-step explanation:
Mina ( M ) saved more ( > ) than Zach ( X )
Chad washes windows after school to make some extra money. He charges $5.50 to wash each window. If the customer provides the supplies, Chad deducts $3.25 from the total cost. One customer paid a total of $27.50 and did not provide supplies. Which equation could be used to find the number of windows, w, that Chad washed for this customer?
*5.5w - 3.25 = 35.25
The 5.5w part shows that its $5.50 times each window. The -3.25 is because he deducted 3.25 from the total. And then you have the price that he got on the other side.
Here's the work to find the windows in case you want it:
5.5w-3.25=35.25
5.5w=38.50
w=7
He washed 7 windows
Answer:
5.5 w - 3.25 = 27.5
Step-by-step explanation:
Find the measure of the angle indicated in bold.
Answer Choices:
84o
125o
60o
100o
Answer:
100
Step-by-step explanation:
12x - 4 + 13x + 9 = 180
25x + 5 = 180
25x = 175
x = 7
13(7) + 9 = 100
Need help please
What are the measures of angles B and D?
A. ∠B = 55°, ∠D = 55°
B. ∠B = 55°, ∠D = 125°
C. ∠B = 97°, ∠D = 97°
D. ∠B = 83°: ∠D = 97°
Answer:
One basic property of a parallelogram is that opposite angles have the same value. Hence angle B = angle D. (2n+15°) = (3n-5°). Then have one side for the unknown. The equation will be 3n=2n+15°+5°. To get the n, simplify the equation: 3n-2n = 20° or n = 20°. Afterwards substitute the value of n to the angles. Angle B = (2(20)+15), Angle D = (3(20)-5). Lastly, simplify the equations. Angle B = (40+15°) = 55° and Angle D = (60-5°)=55°. Therefore the value of angles B & D are both 55°.
Step-by-step explanation:
Please sum1 help? I don’t understand this it would mean the wrld thx
Answer:
20 pages per hour
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
Find the area of a square with side length x when x is equal to the given value. Are the area of a square and the length of its side directly proportional? Justify your answer. x=10 in.
Step-by-step explanation:
The formula for calculating the area of a square is expressed as;
A = x² where;
x is the length of one side of the square
Given
x = 10in
A = 10²
A = 10 * 10
A = 100in²
Area of the square with side length 10in is 100in²
From the equation A = x², we can see that as the value of x increases, the value of the area also increases and vice versa. This means that the area of the square is directky proportional to its length. Hence we can say YES, the area of a square and the length of its side directly proportional
Answer:
100 sq in
Step-by-step explanation:
No, not proportional
can u help me with this asap
Answer:
the answer is the first one
Step-by-step explanation:
what is 31)775 please someone help me
Answer:1/25 or 0.04
Step-by-step explanation: How I Got This Answer Was i did 77 divided by 31 and got 2 then brought down the 15 and then brought down the 5 to make 155 and the i did 155 divided by 31 and got 5 31 times 5 = 155 when you simplify the answer it comes up to 1/25.
identify the type of represented f(x)=3/8(4)^x
Answer:
Exponetial Growth
Sales tax in a certain community is 5%. If the sales tax on a new car was $1400, what was the selling price of the car?
Answer:
Step-by-step explanation:
Selling price = (100+5)/100 × 1400
= 105 × 14
= $ 1470.00
Answer:
28000 plz rate this thanks
Please help and hurry!! Worth 15 points.
Solve
10p + 2 + 3p = 36
A. 2 12/13
B. 2 8/13
C. 2 10/13
D. 4 6/7
Answer:
b
Step-by-step explanation:
MO is twice as long as MN. NO=36cm. Find MO and NM. Can you solve this problem? If so, give the solution. If not, explain why not.