Answer:
[tex]x=-1+\sqrt{6 }[/tex]
[tex]x=-1-\sqrt{6 }[/tex]
Step-by-step explanation:
[tex]x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]
Ignore the A before the ±. It wouldn't let me type it correctly.
x² + 2x - 5 = 0
a = 1
b = 2
c = - 5
[tex]x=\frac{-2±\sqrt{2^{2}-4((1)(-5)) } }{2(1)}[/tex]
[tex]x=\frac{-2±\sqrt{4-4((1)(-5)) } }{2(1)}[/tex]
[tex]x=\frac{-2±\sqrt{4+20 } }{2(1)}[/tex]
[tex]x=\frac{-2±\sqrt{24 } }{2}[/tex]
[tex]x=\frac{-2±\sqrt{(2)(12) } }{2}[/tex]
[tex]x=\frac{-2±\sqrt{(2)(2)(6) } }{2}[/tex]
[tex]x=\frac{-2±\sqrt{(2)(2)(2)(3) } }{2}[/tex]
[tex]x=\frac{-2±(\sqrt{2} )(\sqrt{2})(\sqrt{(2)(3) )} }{2}[/tex]
[tex]x=\frac{-2±2\sqrt{6 } }{2}[/tex]
Two separate equations
[tex]x=\frac{-2+2\sqrt{6 } }{2}[/tex]
[tex]x=\frac{-2-2\sqrt{6 } }{2}[/tex]
[tex]x=-1+\sqrt{6 }[/tex]
[tex]x=-1-\sqrt{6 }[/tex]
the area of the polygon is 27 mi 2 what is the formula that shows the length of side a
Answer:
option 1
Step-by-step explanation:
the polygon is made up of three squares
the area of the polygon is the sum of the area of the three squares
Area of a square = length²
a²
Area of the polygon = a² + a² + a² = 3a²
3a² = 27
a² = 27/3
a² = 9
a = 3
what is the value of (-5+5i)+ (4-4i)?
Answer:
Step-by-step explanation:
(-5+5i)+(4-4i)
=-5+5i+4-4i
=-1+i
A first alloy contains x pounds of 55% silver. It is mixed with a second alloy containing 30% silver to make 60 pounds of an alloy containing 40% silver. Of the answers listed below, the one closest to the correct value of x is
Answer:
"24 pounds" is the appropriate answer.
Step-by-step explanation:
According to the question, the equation will be:
⇒ [tex]x+y=60[/tex]...(equation 1)
or,
⇒ [tex]\frac{55}{100}x+\frac{30}{100}y=\frac{40}{100}\times 60[/tex]
[tex]55x+30y=2400[/tex]...(equation 2)
Now,
By multiplying (equation 1) by 55 and (equation 2) by 1, we get
⇒ [tex]55x+55y=3300[/tex]...(equation 3)
⇒ [tex]55x+30y=2400[/tex]...(equation 4)
From equation 3 and 4, we get
⇒ [tex]25y=900[/tex]
[tex]y=\frac{900}{25}[/tex]
[tex]=36[/tex]
By putting the values of "y" in equation 1, we get
⇒ [tex]x=60-36[/tex]
[tex]=24[/tex]
Thus the value of x be "24 pounds".
A bag contains 28 marbles. The theoretical probability of randomly drawing a
blue marble is 3/7. Find the number of blue marbles in the bag.
Answer:
12
Step-by-step explanation:
Probability = Expected outcome/Total outcome
GIven
Total outcome = 28marbles
probability of randomly drawing a blue marble = 3/7
Substitute
3/7 = number of blue marbles/28
Cross multiply
7N = 3* 28
N = 3*4
N= 12
Hence there 12 blue marbles in the bag
Suppose that an individual has a body fat percentage of 12.1% and weighs 133 pounds. How many pounds of her weight is made up of fat? Round your answer
to the nearest tenth.
Answer:
1099.2 pounds
Step-by-step explanation:
Given data
Weight= 133 pounds
Percentage of far= 12.1%
Let the total fat be x
So
12.1/100*x= 133
0.121*x=133
x= 133/0.121
x= 1099.1735 pounds
x= 1099.2 pounds
Sabiendo que la tangente son 4/3 dime el cos y sen estando el angulo en el tercer cuadrante de la circunferencia
Answer:
sen α = - 4/5
cos α = - 3/5
Step-by-step explanation:
tang α = 4/3
De la relación fundamental de la trigonometría sabemos:
sen² α + cos²α = 1
Dividiendo la ecuación anterior por cos² α
sen²α/cos²α + cos²α / cos²α = 1 / cos² α
tang²α + 1 = 1/ cos² α
(4/3)² + 1 = 1/ cos² α ⇒ 16/9 + 1 = 1/ cos² α
1/ cos² α = ( 16 + 9 ) / 9
1/ cos² α = 25/9
cos² α = 9/25
cos α = 3/5
y para calcular el sen α
sen² α = 1 - cos²α
sen² α = 1 - 9/25
sen² α = ( 25 - 9 )/ 25
sen² α = 16/25
sen α = 4 / 5
Ahora bien el angulo α está en el tercer cuadrante, en ese cuadrante tanto el seno como el coseno son negativos.
Respuesta:
sen α = - 4/5
cos α = - 3/5
Simplify the expression: 8(2x+7) - 5(3x + 14)
Answer:
the Answer is x -14
Step-by-step explanation:
Write the equation of the line which contains all images of point C.
(12,1)
С
(8,0)
B
2.
10
12
14
AA
(a,b)
А.
y-te-2
B
y = 4x - 2
C
1
y = 4x
D
1
1
y
C
4
Answer:
Step-by-step explanation:
Find the missing side of each triangle
Please help
Answer:
B) [tex]\sqrt{115}[/tex]
Step-by-step explanation:
Pythagoras is [tex]a^{2} +b^{2} =c^{2} \\[/tex]
Where C is the longest side. You have a and c so
[tex]14^{2}-9^{2} =x^{2} \\196-81=x^{2} \\\sqrt{115} =x[/tex]
By what number should -5/27 be divided to get -7/20?
Answer:
Step-by-step explanation:
Percent puzzle
- Each square contains a positive digit (1-9). Digits may be reused.
- The percent next to a row gives the percent of the row sum contained in the shaded square of that row.
- The percent above each column gives the percent of the column sum contained in the shaded square of that column.
Problem:
Solve the following percent puzzle, entering each square of the completed puzzle in the corresponding box below.
Answer:
you should probably just search it up
Select the graph of the solution. Click until the correct graph appears. pls help
x < 4
Answer:
The correct one is the one on the left.
(the arrow pointing to the left)
True or False Variation provides information about how much the data varies within the sample.
Answer:
True
Step-by-step explanation:
The variance of data measures how much the data varies.
your awnser would be true.
CAN SOMEONE HELP ME WITH THIS, PLEASE AND THANK YOU
Answer:
63 were sold
Step-by-step explanation:
Multiply the total number of new houses by the fraction that were sold
81 * 7/9
Rewriting
81 /9 * 7
9 * 7
63
Answer:
63 new house have been sold this year.
Step-by-step explanation:
New houses have been sold this year is given by
= Total no. of new houses × fraction that were sold.➛ 81 × 7/9
➛ 9 × 7 .. ( 81 / 9 = 9 )
➛ 63
A snack stand serves shaved ice in cone shaped containers and cylindrical containers. Which container gives you more shaved ice for your money? Explain.
Answer:
The cone container
Step-by-step explanation:
The volume of the cone is (pi r² h)/3
3.14•4²•6/3 = 100.48 ≈ 100
The volume of the cylinder is pi r² h
3.14•4²•6 = 301.44 ≈ 301
The cone is 3.25, and have 100 in³ of volume, so:
100/3.25 = 30.77 in³ per dollar
The cylinder is 4.75 and have 301 in³ of volume, so:
301/4.75 = 63.37 in³ per dolar
So, the cone container gives you more shaved ice
IF U HELP ME ILL MARK BRAINLIEST
The difference between two numbers is 51 four times the smaller is equal to six more than the larger what are the numbers
Answer:
Smaller #: 19
Larger #: 70
Step-by-step explanation:
Step 1:
We can set the smaller number as x. We can find the larger number by adding 51, hence represented as 51+x.
Step 2:
We can write an equation with the given information. Four times the smaller number is equal to six more than the larger:
[tex]4x=51+x+6\\3x=57\\x=19[/tex]
If the smaller number represented as x is [tex]\fbox{19}[/tex] , then the larger number represented as 51+x would be [tex]\fbox{70}[/tex] .
I hope this helps! Let me know if you have any questions :)
find the value of x and y
Step-by-step explanation:
(18x-44) is x and the answer is: -792
and (13 y -38) you would have to Remove the parentheses.
Solve for x. Each figure is a parallelogram.
Help please and thank you...
Answer:
4
Step-by-step explanation:
In a parallelogram, adjacent angles are supplementary
125 + 14x-1 = 180
14x - 1 = 180 - 125
14x - 1 = 55
14x = 55 + 1
14x = 56
x = 56/14
x = 4
Therefore, the value of x = 4
Hope u understand
Please mark as brainliest
Thank You
alegebraic expression of x and 2 is
Answer:
x+2
Step-by-step explanation:
x and 2
And means add
x+2
What shape is both a rhombus and rectangle?
A. square
B. kite
c. trapezoid
D. triangle
Answer:
A square
Step-by-step explanation:
Definition of a rhoumbus: Shape that 4 sides that are all equal
Definition of a rectangle: 4 Right Angles
Definition of a square: All sides and angles are equal.
So, the square has 4 right angles, and has 4 equal sides
I think it’s because the computer
Answer:
It's A and B
Step-by-step explanation:
Since she took 75% off of her commute time, she has 25% left. 25% as a decimal is 0.25 and 0.25 as a decimal is 1/4.
Also, since it says choose two answers, C and D are not equal to each other.
Jasper is painting the outside of a box, including the top and bottom. The box measures 6 feet long, 2.5 feet wide, and 3 feet high. What is the total surface area she will paint? 2.5 3 6.
I will mark brainliest
Answer:
the first answer is correct answer
I need help answering this question
The attendances y for two movies can be modeled by the following equations, where x is the number of days since the movies opened.
y=-x^2+35x+100 Movie A
y=-5x+275 Movie B
When is the attendance for each movie the same?
After ___ days and after ___ days.
Answer:
After
days and after
days.
By solving a quadratic equation, we will see that the attendance will be the same after 5 days and after 35 days.
When is the attendance for each movie the same?
This will happen for the values of x such that:
y = -x^2 +35x + 100 = y = -5x+275
There says that the attendance for movie A is the same as the one for movie B. So we just need to solve that.
We can write the equation as:
-x^2 +35x + 100 = -5x+275
If we simplify this, we get:
-x^2 + 35x + 100 + 5x - 275 = 0
-x^2 + 40x - 175 = 0
This is a quadratic equation, the two solutions are given by Bhaskara's formula, we will get:
[tex]x = \frac{-40 \pm \sqrt{(40ft)^2 - 4*(-1)*-175)} }{2*-1} \\\\x = \frac{-40 \pm 30}{-2}[/tex]
So the two solutions are:
x = (-40 + 30)/-2 = 5
x = (-40 - 30)/-2 = 35
So, the attendance will be the same after 5 days and after 35 days.
If you want to learn more about quadratic equations, you can read:
https://brainly.com/question/1214333
Dan had a large piece of wood that was 10 feet
long. He cut the wood into smaller pieces, each
measuring 1/4 foot. How many pieces of wood
dd Dan cut?
Answer:
40 pieces of wood
Step-by-step explanation:
Find how many pieces he cut by dividing 10 by 1/4
10 / (1/4)
= 40
So, Dan cut 40 pieces of wood
Which of the binomials below is a factor of this trinomial?
x^2 + 13x+42
Answer:
x+6 and x+7
Step-by-step explanation:
Given the quadratic equation;
x^2 + 13x + 42
Factorize
x^2+13x+42 = 0
x^2 + 7x + 6x + 42 = 0
x(x+7)+6(x+7) = 0
(x+6)(x+7) =0
Hence the required binomials are x+6 and x+7
Two pound bags of candy are being used to fill containers that hold 1 1/2 pounds each. How many containers can be filled by each two pound bag of candy?
Answer:
4 Containers Can Be Filled By Each Two Pound Bag Of Candy .
Step-by-step explanation:
GIven Two Pound Bag Of Candy Used To Fill Container That hold [tex]1\frac{1}{2}[/tex] Pound Each .
Now There are 4 Container of Capacity [tex]1\frac{1}{2}[/tex] Pound Needed To fill Exactly 3 two Pound Bags .
Thus 4 container have Total capacity Of 6 Pound . Which Is Easily Filled By The 3 two Pound Bags . ( Without Any Loss )
Please help for geometry final!!
Answer:
∠1 = 180° - 123° = 57°
∠2 = 180° - 57° - 48° = 75°
∠3 = 180° - 123° - 13° = 44°
Answer:
2
[tex]m < 1 = 180 \degree - 123\degree \\ = 57\degree[/tex]
3
[tex]m < 2 = 180\degree - 57\degree - 48\degree \\ = 75\degree[/tex]
4
[tex]m < 3 = 180\degree - 123\degree - 13\degree \\ = 44\degree[/tex]