Answer:
Value of Cos 120 is -½.
Step-by-step explanation:
Lucas and Tony were trying to solve the equation:
x^2=16x+25x
2
=16x+25x, squared, equals, 16, x, plus, 25
Lucas said, "The x^2x
2
x, squared term is isolated, so I"ll take the square root of both sides and solve."
Tony said, "I'll solve using the quadratic formula with a=1a=1a, equals, 1, b=16b=16b, equals, 16, and c=25c=25c, equals, 25."
Answer:
neither
Step-by-step explanation:
Lucas and Tony were trying to solve the equation:
x^2=16x+25x
2
=16x+25x, squared, equals, 16, x, plus, 25
Lucas said, “The x^2x
2
x, squared term is isolated, so I"ll take the square root of both sides and solve.”
Tony said, “I'll solve using the quadratic formula with a=1a=1a, equals, 1, b=16b=16b, equals, 16, and c=25c=25c, equals, 25.”
Whose solution strategy would work?
Neither Lucas's approach for the solution is correct nor Tony's approach.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Lucas approch,
x² = 16x + 25
√x² = √16x + 25
x = √16x + 25
No further solution by Lucas,
Now,
Toy's approach,
for equation,
x² = 16x + 25
Using quadratic formula he figured it out a = 1, b = 16 ad c = 25, which is wrong from the equation a = 1, b = -16, and c = -25.
Thus, Neither Lucas's approach for the solution is correct nor Tony's approach.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ5
A map has a scale of 1 inch : 15 miles. If two cities are 4 inches apart on the map, how far is the actual distance?
Answer:
The cities are 60 miles apart
Step-by-step explanation:
[tex]4*15=60[/tex]
Help please with this omg
Answer:
A ∪ B = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}
A ∩ B = {5}
Step-by-step explanation:
A ∪ B means all the elements in sets A and B without repetition
A ∩ B means the common elements in the two sets A and B
∵ Set A = {5, 6, 7, 8, 9, 10}
∵ Set B = {2, 3, 4, 5, 11, 12, 13}
→ To Find A ∪ B, write all the elements in the two sets but don't
repeat the common element
∵ 5 is a common element in the two sets
∴ Don't repeat it in A ∪ B
∴ A ∪ B = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13}
→ To find A ∩ B, write the common elements in the two sets
∵ 5 is the only common element in the two sets
∴ A ∩ B = {5}
What is the solution to the equation 9x
- 1 = 80.
X = 9
X = -9
x = 1
P
X = 81
please can someone help??????
Answer:
I think that the front one would be D) 20
Step-by-step explanation:
It is 4 times bigger than the smaller one so it is 20
-
5,6,7 pls help.
Factorise this pls
Answer:
Step-by-step explanation:
5. -3x^(2)+3xy-4xz
If you factor = -x(3x-3y+4z)
x^yz+xy^2z+xyz^2
xyz(x+y+z)
x^2y-xy^2+x^2y^2
xy(x-y+xy)
6. 14a^2-28a^2b^2+21a^4
-7a^2(4b^2-3a^2-2)
7. a^4b-6a^2b^2+3ab^3
ab(a^3-6ab+3b^2)
(10x4y2) simplify - no need the evaluate numeric expression
A number x is at least -1 and no more than 9
What is the inequality ???
Darell parks his car in a parking garage. The garage charges a certain amount for the first hour and an hourly rate for each additional hour. The total charge for 3 hours is $10.65. The total charge for 6 hours is $15.30.
Complete the equation that describes the relationship between the total charge, C, and the length of time in hours, h.
c = __ h + __
Answer:
charges for the first hour = $7.55
charges for each additional hour = $1.55
c = 1.55h + 7.55
Step-by-step explanation:
Let
x = charges for the first hour
y = charges for each additional hour
x + 2y = 10.65 (1)
x + 5y = 15.30 (2)
Subtract (1) from (2)
5y - 2y = 15.30 - 10.65
3y = 4.65
y = 4.65/3
= 1.55
y = $1.55
Substitute y = 1.55 into
x + 2y = 10.65
x + 2(1.55) = 10.65
x + 3.10 = 10.65
x = 10.65 - 3.10
= 7.55
x = $7.55
c = 1.55h + 7.55
-4, 12, -36, 108, ... What are the next 3 numbers in the sequence
for this problem the answer is 324
Solve quick HURRRYYYY
Answer: 1, 3
Step-by-step explanation:
3x + 6 = 36 lololojwbfvwds
Answer:
x=10
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
3x + 6 = 36
3x = 30
x = 10
The degree measure of the vertex angle is x + 21 . The
degree measure for each base angle is 2x + 17. What is
the value of x? Show the equation you use in the show
your work section. Hint: Draw a diagram!
see
SOMEONE PLEASE HELP ME ITS URGENT!!!!
Step-by-step explanation:
i wanna help but i cant see can you copy and paste the question
Answer:
Step-by-step explanation:
y=5x-2
slope of the line is 5 because if we compare to
y=mx+b where m is the slope we see m=5
Points (0,-2), (2,8), (4,18)
slope between the points (0,-2), (2,8)
m=(y2-y1)/(x2-x1) = -2-8/0-2 = -10/-2 = 5
slope between the points (4,18), (2,8)
m=(y2-y1)/(x2-x1) = 18-8/4-2 = 10/2=5
slope between the points (4,18), (0,-2)
m=(y2-y1)/(x2-x1) = 18+2/4-0= 20/4 =5
Reflect the point (-1,-4) in the y-axis followed by the x-axis. What point does it end at? What quadrant is it in? Answer in a complete sentence.
7 + 14 greatest common factor
Answer:
The greatest common factor is 21,
Step-by-step explanation:
Find the prime factors of each term in order to find the greatest common factor (GCF).
1760 times 0.5 equals
Answer:
880
Step-by-step explanation:
Answer:
880
Step-by-step explanation:
The vet at the aquarium is monitoring a sick octopus. At the start of the week, the octopus weighed 2 9/10 kilograms. He lost 4/5 kilograms over the week. How much does the Octopus weigh now?
eh
Answer:
2 1/10 kilograms
Step-by-step explanation:
2 9/10 minus 4/5
Make the 4/5 have the same denominator as 9/10
2 9/10 minus 8/10
Subtract
2 1/10
PLZ MARK ME BRAINLIEST.
Answer:
2 1/10
Step-by-step explanation:
2 9/10 - 4/5. You need the minus because it says lost. That means you have to take away which is the same as minus.
The 4/5 have the same denominator as 2 9/10. This reason is because the denominator of 5 is lesser than the denomintor of 10. You don't have to do this step, but it will make it easier to solve.
2 9/10 - 8/10 = 21/10 OR 2.1 OR 2 1/10. Subtract them both to get the answer.
750 yards in 3 minutes. What is the unit rate
Answer:
250 yards per minute
Step-by-step explanation:
We just divide 750/3 to get 250, so our unit rate would be 250 yards per minute.
Please help me !!! !!!!
Answer:
C?
Step-by-step explanation:
I could be wrong but I think that's the answer
Answer:
I'm not sure but the answer i have is C
a system of equations with infinity many solutions is a graph where two lines A-are line segments. B-intersect at one point C-are the same lines D-are parallel lines
Answer
B the answer is B
Step-by-step explanation:
If the perpendicular bisector of one side of a triangle goes through the opposite vertex, then is the triangle isosceles?
Answer:
True
Step-by-step explanation:
The perpendicular bisector of the opposite side to the vertex bisects the angle at the vertex into two equal parts and also bisects the triangle into two equal parts.
Let A be the angle at the vertex, then assume that the angle is an isosceles triangle with base angles B.
We need to show that A = 180 - 2B for an isoceles triangle
The perpendicular bisector bisects A into two so the new angle in the vertex one half of the bisected triangle is A/2.
Since this half triangle is a right-angled triangle, the third angle in it is 90.
So, A/2 + B + 90 = 180 (Sum of angles in a triangle)
subtracting 90 from both sides, we have
A/2 + B + 90 - 90 = 180 - 90
A/2 + B = 90
subtracting B from both sides, we have
A/2 + B = 90
A/2 = 90 - B
multiplying through by 2, we have
A = 2(90 - B)
A = 180 - 2B
Since A = 180 - 2B, then our triangle is an isosceles triangle.
What are the characteristics of a exponential function
Answer:
A GENERAL NOTE: CHARACTERISTICS OF THE GRAPH OF THE PARENT FUNCTION [tex]f(x)=b^{x}[/tex]
-It’s a one-to-one function
-The graph passes through y-intercept of the point (0,1)
-x-intercept: none
-The domain is all real numbers: (−∞,∞)
-The range is y > 0 or (0,∞)
-The graph is increasing
-The graph is asymptotic to the x-axis as x approaches negative infinity
-Horizontal asymptote: y=0
-The graph increases without bound as x approaches positive infinity
-Increasing if b > 1
-Decreasing if b < 1
-The graph is continuous
-The graph is smooth
Hope this helps! :)
Which of the following is a correct description of an arithmetic sequence?
(2/5 + 4/9 - 2/3) multiplied by 5/2 - 3/5
Answer:
Step-by-step explanation:
Least common denominator of 5 , 9 , 3 = 45
[tex]\frac{2}{5}+\frac{4}{9}-\frac{2}{3}=\frac{2*9}{5*9}+\frac{4*5}{9*5}-\frac{2*15}{3*15}\\\\=\frac{18}{45}+\frac{20}{45}-\frac{30}{45}\\\\= \frac{18+20-30}{45}\\\\= \frac{8}{45}\\\\[/tex]
Least common denominator of 2, 5 = 10
[tex]\frac{5}{2}-\frac{3}{5}=\frac{5*5}{2*2}-\frac{3*2}{5*2}\\\\=\frac{25}{10}-\frac{6}{10}\\\\=\frac{25-6}{10}\\\\= \frac{19}{10}[/tex]
[tex](\frac{2}{5}+\frac{4}{9}-\frac{2}{3})*(\frac{5}{2}-\frac{3}{5})=\frac{8}{45}*\frac{19}{10}\\\\= \frac{4*19}{45*5}\\\\= \frac{76}{225}[/tex]
A factory produces a certain chemical at a rate of 3.5 grams per second. How many kilograms of the chemical are produced each hour? 1 kilogram = 1,000 grams 1 hour = 3,600 seconds Express the answer to the correct number of significant figures. The factory produces kilograms of the chemical per hour.
Answer:
12.6
Step-by-step explanation:
3.5 x 3600 divided by 1,000 = 12.6 kilograms
Δacb ≅ Δdce ∠b=61°, ∠c=57° and ∠d=2x x=
See attachment for math work and answer.
523 – 224 – 922 + z
What is the degree of the polynomial?
Answer:
4
Step-by-step explanation:
Degree is the highest power of the variable in the polynomial
-3/7 divide 9/4 as a fraction
Answer:
-4/21
Step-by-step explanation:
Answer:
-4/21
Step-by-step explanation:
Keep switch flip method. Keep -3/7, switch division to multiplication, and flip 9/4 to become 4/9. then multiply straight through
-3/7 x 4/9 = -12/63
which simplifies to -4/21
ASAP PLEASE
You are at the movies with your friends and decided to buy a small bag of gummy bears. There are 4 red bears, 5 green bears, and 3 yellow bears in the bag. What is the probability that you will get a yellow gummy bear and then, without replacing, get a red gummy bear?
Answer:
for yellow gummy bears, 3 to 11, and for Red, 4 to 11.
Step-by-step explanation:
I think this is right, I did this a few years ago, I hope this helps!