Answer:
x1= -(1-√(21))/5
x2= -(1-√(21))/5
Step-by-step explanation:
5x²+2x-4=0
D=2^2-4*(-4)*5=4+80=84
x1,2 = (-2±√(84))/10
x1= (-2+√(84))/10 = (-2+√(4*21))/10 = (-2+2√(21))/10 = (-2(1-√(21))/10 = -(1-√(21))/5
x2=(-2-2√(21))/10 = -2(1+√(21)/10=-(1+√(21))/5
Answer: x1= -(1-√(21))/5,
x2= -(1-√(21))/5,
Classify the equation 6x + 4x - 1 = 2(5x + 4) as having one solution, infinitely many solutions, or no solutions
Answer: no solutions
Step-by-step explanation:
6x+4x-1=2(5x+4)
10x-1=10x+8
+1 +1
10x=10x+9
The equation is not true. It has no solutions.
You start driving west for 3 miles, turn right, and drive north fer another 13 miles. At
the end of driving, what is your straight line distance from your starting point?
Round to the nearest tenth of a mile.
Answer:
13.3 miles
Step-by-step explanation:
So you're driving <----- for 3 miles
Then you start driving up for 13 miles
This makes a right triangle with sides of 3 and 13
using pathagoreas, a^2+b^2=c^2
3^2+13^2=c^2
9+169=c^2
178=c^2
Square root both sides
c= 13.3416640641
Rounding, it's 13.3 miles
Please help! There are only 3 choices.
Find the height of the tree in feet if the angle of depression is 31 degrees.
A) 7.2 feet
B) 10.3 feet
C) 6.2 feet
The value is approximate.
========================================================
Explanation:
Check out the diagram below.
The angle of depression being 31 degrees refers to the idea of looking straight horizontal, then looking down 31 degrees. I recommend adding a dashed horizontal line.
That horizontal line is parallel to the ground. This forms a pair of congruent alternate interior angles. Therefore, we have two angles that are 31 degrees as the diagram shows.
The 31 degrees at the bottom is the angle of elevation.
Use this angle of elevation to say...
tan(angle) = opposite/adjacent
tan(31) = x/12
x = 12*tan(31)
x = 7.210327 approximately
This rounds to 7.2 feet
I need help!
f(x)=-3x+6/4x-8
Answer:
same
Step-by-step explanation:
26, 54, 38, 65, 58, 35, 52, 43, 55, 41, 61
Question
What is the range of the set of data?
Answer:
range = 39
Step-by-step explanation:
The range is the difference between the largest value in the data set and the smallest value.
range = 65 - 26 = 39
Answer:
35
Step-by-step explanation:
26, 35, 38, 41, 43, 52, 54, 55, 58,61
The biggest number minus the smallest number
61- 26
35
I need help in this question
Answer:
1a) a= -10
b) b= -5
c) c= -1068
d) d= -1000
2a) a and c
b) b and b
c) c and a
d) d and a
Step-by-step explanation:
explain how to get the variable alone in the equation. 4x = 32
Step-by-step explanation:
since 4 is being multiplied with x we can take 4 to left hand side where it will be divided
4x = 32
x = 32/4
x = 8
Please Helppppppppppp
Answer:
The width of the actual pool is 12 meters
Step-by-step explanation:
You can put Kiara's scale into a ratio or fraction to help visualize it better: 13/6. Now, let's put what we do know for the other ratio into a fraction. we know that the pool is 26 centimeters wide, and since the 26 matches with the 13, that goes in the numerater. since we don't know the denominator, we can just put 26/x (you can use whatever letter you like but I'll use x here)
So in order to get 13/6 to 26/x, we need to find how to figure out what we are doing to the original fraction. Since 13 x 2= 26, it looks like we are multiplying the ratios by 2. Now that we know that, we can multiply the denominator (6) by 2 to equal 12, our answer.
Hope this helps :)
What is the constant of proportionality for the relationship shown in this table? PLEAAASE I WILL MAKE U BRAINLIEST
Answer: 3
Step-by-step explanation:
Divide the x numbers by 3 to then get the y numbers
Example: 3 divided by 1 is 3, 6 divided by 2 is 3, and it goes on!
once again the final answer is 3
hope this helps!
A garden is going to be built in the city park in the shape of a parallelogram, with a rectangular walkway
running through it. The garden region is shown in the following figure. Find the area of the garden region by
finding the areas of the individual shapes shown in the figure.
78 ft
72 ft
30 ft
20 ft
Answer
Answer:
7,456 im only 9 but i think it's right.
Step-by-step explanation:
Answer: The answer is 7,456!
Step-by-step explanation: 78 x 78 + 30 x 30 + 20 times 20 + 72 equals to 7456!
4. In one week, Latrina received 18 snickers and 8 butterfingers
What is the ratio of butterfingers to snickers?
which of the following points would fall on the line produced by the point-slope form equation y-6=7(x+4)
A (-1,28)
B (0,-34)
C (-3,13)
D (2,20)
Answer:
[tex]a.( - 128)[/tex]
Step-by-step explanation:
#ThanksMeLater
#CarryOnLearning
The menendez family paid $45 for a meal at a restaurant.They left a tip that was 20% of the cost of the meal.How much was the tip
Answer:
$9
Step-by-step explanation:
20% is equal to 1/5. Multiply $45 by 1/5 to get $9
Help help pls psl someone help
Answer:
i have no idea
Step-by-step explanation:
i actually dont know but thnks for the points BTW
vector a= 2i+ 3j - 5k.what is the value of 3a?
Answer:
The answer is 6î + 9j – 15k
Step-by-step explanation:
Given;A = 2î + 3j – 5kTo Find;Value of 3ASo,
A = 2î + 3j – 5k
Multiply The value of A with 3 we get,
3A = 3(2î + 3j – 5k)
3A = 6î + 9j – 15k
Thus, The value of 3A is 6î + 9j – 15k
-TheUnknownScientist 72
Which amount has the greatest value in Canadian dollars?
US$15
€11
£10
Answer:
US$15
Step-by-step explanation:
US$15 = 19.15 (Canadian)
€11 = 15.91 (Canadian)
£10 = 17.35 (Canadian)
______________________
$1 in the US (US) is $1.28 in Canada
$1 in Euros (€) is $1.45 in Canada
$1 in the UK (£) is $1.73 in Canada
What are the solutions of the quadratic equation?
x² – 2x = 8
O x = 1
a) x = 1 or x = -8
b) x = 8 or x = -1
c) x = 2 or x = -4
Od) x = 4 or x = -2
Answer:
d)X=4 or x=-2
Step-by-step explanation:
X²-2x=8
X²-2x-8=0
(x-4)(x+2)=0
X-4=0 or x+2=0
X=4 or x=-2
Answer: D. x = 4 or x = -2
The correct answer is x = 4 or x = -2
Step-by-step explanation:
Hope this helps =)
Which expression is equivalent to (7x+9y)2
Answer:
[tex]49x^2+126xy+81y^2[/tex]
Step-by-step explanation:
Use the square of a binomial theorem
[tex](a+b)^2[/tex]= [tex]a^2+2ab+b^2[/tex]
Now expand the given equation:
[tex](7x+9y)^2=49x^2+126xy+81y^2[/tex]
Hope this helps :)
Have a great day!
help asap!
nonsense-report
answer-brainly
Hello there !
I will be glad to help you since I already studied this!
So, the angles that will always be equal to each other formed by a transversal even in solving equations are, corresponding angles, alternative interior, and alternative exterior. Refer to the attachment for visual understanding
Vocabularies: Transversal - transversal is a line that intersects two or more other (often parallel ) lines.
Include to this there are consecutive interior angles and for a tip, for example, you see an equation with consecutive angles add the two angles and make them equal to 180 degrees in most cases.
Depending on your question they may give you angles with same lines on them so which means in most cases they are equal even if they don't seem equal
I forgot to inform you about vertical angles!
they are also congruent..refer to the attachment too
Supplementary angles are on a straight line.... AND equal to a sum of 180 degrees.. refer to the attachment as well
Answers:
1. Yes - because they are vertical angles
2. No because none of the rules apply so it's not congruent
3. Yes- they are congruent
4. No because none of the rules apply...
5. No-No because they aren't adjacent and adjacent angles add up to 180 degrees(Tip: adjacent angles are close to each other almost on the same side)
6. No- they are corresponding... they do now add up to 180 degrees
7. No
Next page
Answer:
Refer to the other answer attachment please study the rules!
I Hope i helped!
If i made a mistake tell me cause no one is perfect but i think most of them are correct!
....................................................................................................................
Please help me solve this problem ASAP
Answer:
Quadrant 2
Step-by-step explanation:
A 90 °counterclockwise rotation, rotates the triangle left one quadrant. Currently the triangle is in quadrant 3.
Answer:
Question 9 right? Well then it would be in quadrant IV
Step-by-step explanation:
Since it is just 90 degrees counterclockwise it would go to the fouth quadrant.
Tablets are on sale for 15% off the original price (t), which can be expressed with the function p(t) = 0. 85t. Local taxes are an additional 8% of the discounted price (p), which can be expressed with the function c(p) = 1. 08p. Using this information, which of the following represents the final price of a tablet, with the discount and taxes applied, based on its original price? c[p(t)] = 0. 918t t[c(p)] = 0. 918t c[p(t)] = 1. 93p t[c(p)] = 1. 93p.
Taxation is done on the discounted price. The equation representing the final price of a tablet for this condition is : Option A: c[p(t)] = 0. 918t
What are composite functions?Functions which are formed by composing two or more functions in a way that one's input is another's output unless its the last and first function is called composite functions.
For given case, it is given that
Discounted price for original 't' price of a tablet is
[tex]p(t) = 0.85t[/tex]
This discounted price is then passed as input to the tax calculating function as taxation is specified to be done on the discounted price and not on the original price.
The total cost calculating function is [tex]c(p) = 1. 08p[/tex]
Thus, for original price t, the total cost is given as:
[tex]c(p(t)) = 1.08(p(t)) = 1.08 \times 0.85t = 0.918t[/tex]
We composed the two available function to get the direct final cost from value of t.
Thus,
The equation representing the final price of a tablet for this condition is Option A: c[p(t)] = 0. 918t
Learn more about composite functions here:
https://brainly.com/question/24780056
Identify the equation that describes the line in slope-intercept form. slope = 3/4 , point (2, 2) is on the line
Answer:
Step-by-step explanation:
You have more than 1/2 the solution just by knowing the slope.
General equation
y = mx + b where m is the slope and b is the y intercept.
m = 3/4
Solution
y = 3/4 x + b Now you need the point to solve for b
x = 2
y = 2 Substitute these values into the line
2 = 3/4 * 2 + b Simplify the right
2 = 1 1/2 + b
2 = 3/2 + b Subtract 3/2 from both sides
2 - 3/2 = b Combine
1/2 = b
So the y intercept is 1/2
Answer
y = 3/4 x + 1/2
or
y = 0.75 x + 0.5
A rectangle has an area of 63 square yards and a width of 3. 5 yards. What is the length, l, of this rectangle? l = 9 yd l = 18 yd l = 28 yd l = 45 yd.
Answer:
18 yards
Step-by-step explanation:
Rectangle area = Length (L) x Width (W)
63 yd^2 = L*W
63 yd^2 = L*(3.5 yd)
L = 18 yards
Answer:
/ = 18 yd
Step-by-step explanation:
I took the quiz and this was the correct answer.
Please help me with this please actually help me please and thank you
Answer:
y=3x-1
y=3x+4
this has no solutions from looking at this we can see that the slope is the same so thats means that these are parell and will never cross and will never intersecet
another way to look at this is if we look at these equation
so we now that y=y so
3x-1=3x+4
+1
3x=3x+5
-3x
0=5
wait at minute this makes no sense 0 doesn't equal 5 so
no solution
Hope This Helps!!!
A radio tower is located on a coordinate system measured in miles. The range of a signal in a particular direction is modeled by a quadratic function where the boundary of the signal starts at the vertex at (4, 2). It passes through the point (5, 4). A linear road connects points (–3, 7) and (8, 2). Which system of equations can be used to determine whether the road intersects the boundary of the tower’s signal? StartLayout Enlarged Left-Brace 1st Row y minus 2 (x minus 4) squared = 2 2nd Row 5 x 11 y = 62 EndLayout StartLayout Enlarged Left-Brace 1st Row y minus (x minus 4) squared = 2 2nd Row 5 x 11 y = 62 EndLayout StartLayout Enlarged Left-Brace 1st Row y minus (x minus 4) squared = 2 2nd Row 11 x 5 y = 2 EndLayout StartLayout Enlarged Left-Brace 1st Row y minus 2 (x minus 4) squared = 2 2nd Row 11 x 5 y = 2 EndLayout.
The system of equations that can be used to determine whether the road intersects the boundary of the tower’s signal is
[tex]y = 2x^2 - 16x + 34\\11y = -5x + 62[/tex]
What is vertex form of a quadratic equation?If a quadratic equation is written in the form
[tex]y=a(x-h)^2 + k[/tex]
then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)
For the given situation, the quadratic equation has vertex (h,k) = (4,2) and it passes through (5,4).
If we consider the equation to be of the form [tex]y=a(x-h)^2 + k[/tex],
then, as h = 4, k = 2, it becomes [tex]y = a(x-4)^2 + 2[/tex]
Now since it passes through (5,4), thus at x = 5, and y = 4, the equation must be true, or:
[tex]y = a(x-4)^2 + 2|_{(x,y) = (5,4)}\\\\4 = a(5-4)^2 + 2\\4 = a + 2\\a = 2[/tex]
Thus, the quadratic equation in consideration is: [tex]y = 2(x-4)^2 + 2 = 2x^2 + 32 -16x + 2\\y = 2x^2 - 16x + 34[/tex]
The straight line in consideration connects points (–3, 7) and (8, 2).
Equation of a line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is
[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]
Since we've got [tex](x_1, y_1) = (-3,7) \: \rm and \: \: (x_2, y_2) = (8,2)[/tex]
We get the equation of the straight line in consideration as:
[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)\\\\(y-7) = \dfrac{2-7}{8 - (-3) } (x-(-3))\\\\y - 7 = -\dfrac{5}{11}(x+3)\\\\11y = -5x + 62[/tex]
Therefore, the system of equations that can be used to determine whether the road intersects the boundary of the tower’s signal is
[tex]y = 2x^2 - 16x + 34\\11y = -5x + 62[/tex]
These equations' graphs' intersection is the solution to this system
Learn more about system of equations here:
https://brainly.com/question/2825832
Answer:
y-2(x-4)^2=2
5x+11y=62
Step-by-step explanation:
a on edge 22
Two trains are 500 miles apart and traveling toward each other one train travels 20 mph than the other and after two hours the trains are 300 miles apart find the speed of the faster train
pls help!
Answer:
60 mph
Step-by-step explanation:
We calculate the combined distance travelled by the two trains in two hours.
As they were 500 miles apart at first, and 300 miles apart after, they have travelled 200 miles together.
I think the question means "one train travels 20 mph faster than the other".
Say the faster train has speed x mph. Then the slower has speed x - 20 mph.
Now, the combined distance travelled in 2 hrs is 2 * (x + x - 20) = 200
2x - 20 = 100
2x = 120
x = 60 mph
Find the inverse of f(x)=2x+7
Describe the vector that translates DEF to D’E’F’.
A. (-4, -3)
B. (3, 4)
C. (4, 3)
D. (-3, -4)
Answer:
(-3 , -4)
Step-by-step explanation:
Vector translation: graph slide without rotation on the coordinate plane
help me please thank yo
Answer:
10*g
Step-by-step explanation:
How many golf balls were in each package?
10 packages
g =golf balls
The balls came in the 10 packages, we don't know how many there are so we use g as a substitute. Therefore being 10*g.
Ex:
lets assume there is 5 golf balls in each package and there is a total of 10 packages. 10*5=50 and if you count each ball it would be the same 5,10,15,20,25,30,35,40,45,50 balls in each. 10*5= 10*g. Same thing except I added a number making it a equation.
Which statement shows how the product of (x 5)2 demonstrates the closure property of multiplication? x2 25 is a polynomial x2 25 may or may not be a polynomial x2 10x 25 is a polynomial x2 10x 25 may or may not be a polynomial.
Product of two polynomials can be done by distribution of multiplication over addition. The product of [tex](x+5)^2[/tex] is [tex]x^2 + 10x + 25[/tex]
What is distributive property of multiplication over addition?Suppose a, b and c are three numbers. Then we have:
[tex]a(b + c) = a\times b + a\times c[/tex]
(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)
What is a polynomial?They are mathematical expressions involving variables raised with non negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non negative exponentiation of variables involved.
Example:
[tex]x^3 + 4x + 3[/tex]
is a polynomial.
Using both above facts, as the given expression is [tex](x+5)^2[/tex]
Its product result is obtained as
[tex](x+5)^2 = (x+5)(x+5) = x(x+5) + 5(x+5) = x^{1+1} + 5x + 5x + 25\\\\(x+5)^2 = x^2 + (5+5)x + 25 \text{\:(Addition of coefficients of like terms)}\\\\(x+5)^2 = x^2 + 10x + 25[/tex]
It is a fact that result of a polynomial product is polynomial. Thus, the obtained product is a polynomial since x + 5 was a polynomial.
Thus,
The product of [tex](x+5)^2[/tex] is [tex]x^2 + 10x + 25[/tex]
Learn more about polynomial product here;
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