Hi
Just told you : first know by heart remarkable identities !
Then apply :
4x²-12x = -9
4x²-12x +9 =0
(2x-3)² = 0
(2x-3) (2x-3) = 0
Now you have a double solution :
2x-3 = 0
and 2x -3 = 0
I let you try !
Wendy and Jason, the boy she was babysitting, were playing basketball together. Her score
was 30 points, and his score was 20 points. Wendy wanted to make the game more fair, so
she called a time-out and modified the rules a bit. Wendy explained that, for the rest of the
game, she would get 2 points per basket, and Jason would get 3 points per basket. Then they
played a bit longer. After the time-out, they both made the same number of baskets and
ended up with a tied score. How many points did each person have at the end?
Write a system of equations, graph them, and type the solution.
Answer:
They both scored 50 points
Step-by-step explanation:
2x + 30 = 3x + 20
(Combine like terms)
-x = 20 -30
-x = -10
x = 10
Decide!!!!!!!!!!!!!!
A third alternative to the formulas I suggested in a comment is to use the vector cross product. Recast the three given points as points in 3D space with 0 z-coordinate:
A(20, 21, 0), B(8, 29, 0), and C(13, 1, 0)
Now consider two vectors,
u = B - A = 〈8, 29, 0〉 - 〈20, 21, 0〉 = 〈-12, 8, 0〉
v = C - A = 〈13, 1, 0〉 - 〈20, 21, 0〉 = 〈-7, -20, 0〉
Then recall the cross product identity,
||u × v|| = ||u|| ||v|| |sin(θ)|
where θ is the angle between the two vectors. The magnitude of u × v is equal to the area of the parallelogram spanned by u and v, and hence twice the area of the triangle of interest.
So we have
area = ||1/2 〈-12, 8, 0〉 × 〈-7, -20, 0〉||
area = 1/2 ||〈-12, 8, 0〉 × 〈-7, -20, 0〉||
area = 1/2 ||〈0, 0, 296〉||
area = 296/2
area = 148
if 16 men can finish to contruct a bulding in 40 days how manny more men are needed to finish the contruction in 32 days
Answer:
20 mens are needed to contruct a building in 32 days.
What is the slope of the line on the graph?
0 1
1/2
N
2.
х
3
4
2 4
-2
4. Find the perimeter of a triangle with side
lengths: 6, (5-1), and (b-2).
Answer:
P=21
Step-by-step explanation:
P=a+b+c=6+7+8=21
Answer:
P= b+8
P= a+b+c
P= 6+4+b -2
P= 10-2+b
P= 8+b
P= b+8
Subtract-8/11 from -17/11
Answer:
the answer will be -0.81818181818
hope this helps!pls mark me as the brainliest!
The required subtraction of -8/11 from -17/11 has the outcome of -9/11.
Given that, determine the subtraction of -8/11 from -17/11.
According to the statements, mathematics deals with a variety of operations. The four main operations in mathematics are addition, subtraction, multiplication, and division.
What is simplification?In mathematics, the operation and interpretation of a function to make it simple or easier to grasp is known as simplifying, and the process is known as simplification.
Here,
according to the question,
= -17/11 - (-8/11)
= -17/11 + 8 / 11
= [-17 + 8] / 11
= -9 / 11
Thus, the required subtraction of -8/11 from -17/11 has the outcome of -9/11.
Learn more about arithmetic here:
https://brainly.com/question/11559160
#SPJ2
Help please I don’t get it
Answer:
LP = 15
Step-by-step explanation:
LM = LP ( isosceles triangle sides will be equal )
10x - 5 = 7x + 1
Transpose to find the value of x
10x -7x = 1 + 5
3x = 6
x = 6/3
x = 2
now put 2 instead of x
10x - 5
10 (2) - 5
20 - 5
15
LP = 15
Electric saw A cuts planks at a uniform rate of 150 every 30 seconds, and Electric saw B cuts planks at a uniform rate of 130 every 13 second. Of the 2 saws run simultaneously, how many seconds will take for them to produce a total of 225 planks
Saw A = 150 planks/30 seconds = 5 planks per second
Saw B = 130 planks/ 13 seconds = 10 planks per seconds
5 + 10 = 15 planks per second total
225 planks / 15 planks per second = 15 seconds
Answer: 15 seconds
If ƒ( x ) = x^2 + 1 and g( x ) = 3 x + 1, find 2 · ƒ(4).
Please explain to me the process.
WILL MARK BRAINLIEST!!
A. 34
B. 18
C.65
Answer:
A.34
Step-by-step explanation:
f(4)=17
2f(4)=34
if I've understood it :/ but I've didn't understood about g(x)
Answer:
A. 34
Step-by-step explanation:
f (x) = x² + 1. f (4) simply means we should replace X with 4
so it will be
f (4) = 4² + 1
= 16 + 1
= 17
so now 2. f ( 4) means:
2. 17
which gives :
34
hope this helps
I tried it many time but not got the correct answer , anyone could plz help me
Aayush got Rs1881 intrest of certain sum for 2 year at 9% compounded yearly . find the sum.
Answer:
C.I=P(1+r/100)^n-1
1881=p(109/100)^2-1
1881=p(11881-10000/10000)
1881=p×1881/10000
1881/1881×10000=p
P=10,000
Plz answer this correctly to get more points
Answer: x = 30°
Concept:
Here, we need to know the idea of an isosceles triangle and the vertical angle theorem.
An isosceles triangle is a triangle that has any two of its sides equal to each other. Also, the angles opposite these equal sides are equal, which is basically the base angles.
The vertical angle theorem states that two vertical angles formed when two lines intersect each other are always equal to each other.
Solve:
Find the other base angle of the isosceles triangle.
Since there are two equal sides, we know that this is an isosceles triangle.
Since the definition said that the base angles are equal, the other base angle would also be x.
Find the value of x
According to the vertical angle theorem, two vertical angles formed by intersection are equal.
Just as angle x and 30°, are vertical angles formed by intersection, therefore, [tex]\boxed{x=30}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
PLEASE HELP ME WITH THIS GEOMETRY ASSIGNMENT!! WILL GIVE BRAINLIEST ANSWER!!!!!
Answer:
im pretty sure your answer is correct :)
Step-by-step explanation:
Answer:
line [tex]l[/tex]
The length of JM is 9.
Step-by-step explanation:
Since JM ≅ MK then we can form the following:
[tex]JM=MK\\JM=3x+15\\MK=8x+25\\\\3x+15=8x+25\\15=5x+25\\-10=5x\\-2=x\\x=-2\\\\JM=3x+15\\JM=3(-2)+15\\JM=-6+15\\JM=9[/tex]
simplify
a)6+[12-5 multiply by 2 +{2+ small bracket 8 divided by 4 -2 small bracket curley bracket ]
make a meaningful question and solve this
only for math legends who are the dad of albert einstein
Answer:
8
Step-by-step explanation:
[tex]6 + 12 - 5 \times 2 + 2(8 \div 4 - 2)[/tex]
[tex]6 + 12 - 10 + 2(2 - 2)[/tex]
[tex]6 + 12 - 10 + 2 \times 0[/tex]
[tex]6 + 12 - 10 + 0[/tex]
[tex] = 8[/tex]
Find the sum of
6x^2+ 10x – 1 and -5x^2– 2x + 1.
Answer:
x^2+8x
Step-by-step explanation:
(6x^2+ 10x – 1) + (-5x^2– 2x + 1)
=6x^2-5x^2+10x-2x-1+1
=x^2+8x
Answer:
x^2 +8x
Step-by-step explanation:
6x^2 +10x -1 -5x^ -2x +1
x^2 +8x
in which quadrant on the cartesian plane does (0,-3) lie?
Answer:
I believe quadrant 1
Step-by-step explanation:
There r quadrants on a graph, once (0,-3) is graphed it lands in the first quadrant sense it’s on that side
ask me questions if you need clarification
Given coordinate is (3,0)(3,0). This point lies on the x-axis because its y-axis is on origin. Therefore, it lies on the x-axis between the Quadrant I and Quadrant IV.
the number 0.3333... repeats forever therefore it is irrational
Answer: .3333 is a rational number
Step-by-step explanation: The number goes and forever repeating itself.
Write Algebraic expression for
8 less than the quotient of 4 and p
Step-by-step explanation:
[tex] \frac{4}{p} - 8[/tex]
I hope it helped U
A solid metal cone has a radius of 4cm and a vertical height of 12cm.
1.1.1. Calculate the volume of the cone in terms of π.
Please explain why also, thank you :)
Answer:
decay
Step-by-step explanation:
The function is in the form
y = a (b)^x
a is the initial value and b is the growth or decay factor
When b < 1 it is decay
When b > 1 it is growth
Since b = .93 it is decay
don't answer if you don't know
Answer:
145
Step-by-step explanation:
6. Which number completes the
pattern?
44, 55, ? , 110, 154, 209
F 66
H 88
G 77
J 99
Answer:
(G)77
Step-by-step explanation:
44+11=55.
55+22=77.
77+33=110.
110+44=154.
154+55=209.
Ramesh buys 10 containers of juice from one shop and 18 containers of the same juice
from another shop. If the capacity of each container is same and the cost of each of the
container is ₹150, find the total money spend by Ramesh.
4200
Step-by-step explanation:
10 × 150 = 1500
18 × 150 = 2700
So
1500 + 2700 = 4200
What is the greatest common factor of 39 and 3?
Answer:
The GCF of 39 and 3 is 3
Step-by-step explanation:
3/3= 1
39/3= 13
Simplify
32
O
220
33
O
O
2°
38
O
122
2
0
32
Answer:
first option
Step-by-step explanation:
Using the rule of exponents
[tex](\frac{a^{m} }{a^{n} }) ^{p}[/tex] = [tex]\frac{a^{mp} }{a^{np} }[/tex] , then
[tex](\frac{2^{5} }{^{2} } )^{4}[/tex]
= [tex]\frac{2^{5(4)} }{3^{2(4)} }[/tex]
= [tex]\frac{2^{20} }{3^{8} }[/tex]
The image of the point (3, -5) under a translation is (8, –4). Find the coordinates
of the image of the point (-4, -6) under the same translation.
Write the phrase as an algebraic expression. The quotient of twelve and the difference of three and a number (Type an expression using x as the variable.)
Answer:
The answer is 12 + 3 - x
Step-by-step explanation:
The keywords are "and" and "difference". "And" means adding and "difference" means subtracting. And if the phrase says/or writes a number before any keywords that represent an operation then, it means that number comes first before the sign or operation.
Hope I'm correct as this is the first time I am answering a question and I don't have a pen and paper with me right now XD.
2. What is the additive inverse of -7? (1 point) 0-7 07 O-1-7 O-(-(-7)
Answer:
for additive inverse you change the sign of the given number so i think its 7
Step-by-step explanation:
whats the least common denominator of 9, 13, and 20
Answer:
13 = 13
20 = 2^2 • 5
9 = 32
Prime Factor Number 13 Number 20 Number 9 L.C.M
2 0 2 0 2
3 0 0 2 2
5 0 1 0 1
13 1 0 0 1
Please help I’m failing math
What is “T” if R(-9,4) and the midpoint S(2,-1) ? HELP!