Answer:
[tex] \boxed{x = 7} [/tex]
Step-by-step explanation:
Given:
AB = x + 4BC = 2x – 10AC = 2x + 1We can illustrate this relationship as:
(2x + 1)
___↑___
| |
A — B — C
|____|___|
↓ ↓
(x + 4) (2x – 10)
_______________________________
When you are given an algebraic expression for the length of a segment, you can solve for that value by knowing that the sum of two segments AB + BC = AC.
Thus:
(x + 4) + (2x – 10) = (2x + 1)
[Regroup terms]
(x + 2x) + (4 – 10) = (2x + 1)
[Simplify]
(3x – 6) = (2x + 1)
[subtract 2x from both sides to isolate the variable]
(3x – 6) – 2x = (2x + 1) – 2x
[Regroup terms]
(3x – 2x) – 6 = (2x – 2x) + 1
x – 6 = 1
[Add 6 to both sides to isolate the constant]
x – 6 + 6 = 1 + 6
[Simplify]
x = 7
PLS HELP ME WITH MATH!!!!!
Answer:
⚪ (4 • 3) + (4 • 8)
Step-by-step explanation:
[tex]4•(3 + 8)[/tex]
by distributing 4 in the bracket:
[tex] = \{(4•3) + (4•8) \}[/tex]
Liliana has $2.10 in nickels and quarters in her backpack. She has 12 more nickels than quarters. How many coins of each type does she have?
Step-by-step explanation:
17 nickels and 5 quarters I just thought way to much for such a simple question
If $1000 is invested for 2 years with a 3% yearly interest rate. What is the amount of simple interest
Answer:
Total: 1060 Gain: 60
Step-by-step explanation:
1000 (Current Amount) x 0.03 (3% as a decimal) x 2 (year amount) = 60 + 1000 (Original Amount Invested) = 1060
Solve for x. 2x^2-4x=0
A.
0, -4
B.
0, -2
C.
0, 2
D.
2, 4
Please help me and thank you!! Show the steps also please I got 198x
9514 1404 393
Answer:
264x³-66x
Step-by-step explanation:
The order of operations requires this be evaluated as ...
11x(96x÷4x -6) . . . . given
11x(24x·x -6) . . . . . . division inside parentheses
11x(24x² -6) . . . . . . multiplication inside parentheses
264x³ -66x . . . . . multiply by outside factor (use the distributive property)
_____
Additional comment
The appearance of the expression in parentheses may induce you to evaluate it as (96x)÷(4x) = 24. The order of operations requires that you do the division before the multiplication, left to right, so this must be evaluated as ...
((96x)÷4)x = 24x²
You need to be very careful with division and with exponents to make sure to follow the Order of Operations exactly. If you have an appropriate calculator, it will do that automatically. For example, if you tell your calculator ...
(for x=2) 11×2×(96×2÷4×2-6)
it should give you the result 1980, not 396.
Answer:
= 198x
Step-by-step explanation:
11x × { 96x ÷ 4x -6}
11x × { 24x -6}
264x - 66x
= 198x
You got the correct answer
An old principle of public landscaping says "build sidewalks last." In other words, let
the people find their chosen paths and then build the sidewalks on the paths. The
picture below shows a campus quadrangle that measures 40 meters by 30 meters.
The path between each building is an illustration of Pythagoras theorem.
The sidewalk between library and humanities is 21.21 metersThe sidewalk between chemistry and humanities is 29.15 metersThe sidewalk between chemistry and humanities is 36.06 metersSee attachment for a copy of the given image.
The sidewalk between library and humanities
This is represented with (a).
The value of (a) will be calculated using Pythagoras theorem.
So, we have:
[tex]a^2 = 15^2 + 15^2[/tex]
[tex]a^2 = 450[/tex]
Take square roots
[tex]a = 21.21[/tex]
Sidewalk between chemistry and library
This is represented with (d).
First calculate the value of (b) and (c)
[tex]c + 15 = 30[/tex]
So:
[tex]c = 15[/tex]
Also:
[tex]b + 15 = 40[/tex]
So:
[tex]b = 25[/tex]
The value of (d) will be calculated using Pythagoras theorem.
[tex]d^2 = b^2 + c^2[/tex]
[tex]d^2 = 25^2 + 15^2[/tex]
[tex]d^2 = 850[/tex]
Take square roots
[tex]d = 29.15[/tex]
The sidewalk between chemistry and humanities
This is represented with (e).
The value of (e) will be calculated using Pythagoras theorem.
[tex]e^2 = d^2 + a^2[/tex]
[tex]e^2 = 850 + 450[/tex]
[tex]e^2 = 1300[/tex]
Take square roots
[tex]e = 36.06[/tex]
Learn more about Pythagoras theorem at:
https://brainly.com/question/343682
Find the distance between the pair of points A(7,8) B(-8,4)
Answer:
Formula:
[tex]length = \sqrt{ {(x _{1} -x_{2} )}^{2} + {(y_{1} -y_{2}) }^{2} } [/tex]
substitute:
[tex]l = \sqrt{ { \{7 - ( - 8) \}}^{2} + {(8 - 4)}^{2} } \\ \\ l = \sqrt{225 + 16} \\ l = \sqrt{241} \\ { \boxed{ \boxed{length = 15.5 \: units}}}[/tex]
Does the following represent a function?
f = [ (3, -1), (2, 5), (4, -6), (3, 4), (5, -8) ]
Answer:
Not a function
Since x= produces y- -1 and y=-4, the relation (3,-1),(2,5),(4,-6),(3,4),(5,-8) is not a function.
Find the difference
Pls helppp
Answer:
3. -10
4. 5
5. -4
6. 24
7. 0
8. 46
9. -1
10. 42
11. -4
12. -26
13. 30
14. -5
When an equation says something like 23 - (-23) then you actually add them together because you multiply the inside by -1 to get 23 + 23
PLEASE HELP- brainliest and points will be given
Answer: Choice B
[tex]\frac{1}{\sqrt{65}}<-4, 7>[/tex]
===============================================================
Explanation:
Consider a right triangle with legs a = 4 and b = 7. Through the pythagorean theorem, the hypotenuse is
c = sqrt(a^2+b^2) = sqrt(4^2+7^2) = sqrt(65)
This represents the length of the vector <-4,7>
Dividing each component by the length will normalize the vector. This is the same as multiplying by [tex]\frac{1}{\sqrt{65}}[/tex] which is what choice B shows. The phrasing "normalize the vector" means "make the vector to be of length 1". A common application of normalizing vectors will come up in computer graphics.
The original vector and the vector mentioned in choice B point in the same direction. The only thing that has changed is the length from sqrt(65) to 1.
Can someone please help me please?
[tex] \large \mathfrak{Answer : }[/tex]
The equation of the red parabola is :
[tex]f(x) = 1 - {x}^{2} [/tex]therefore , correct option in A
Evaluate u + xy, if u = 18, x = 10, and y = 8
Answer:
[tex]u + xy \\ 18 + 10 \times 8 \\ 10 + 80 \\ 90[/tex]
Answer:
Solution,
here,
u=18
x =10
y= 8
=u+xy
=18+(10×8)
=18+80
=98
A contractor removed 357 cubi c ya rds of earth from a building site. If the contractor’s trucks can haul 17 cubic yards per load, how many truckloads of earth were moved?
Answer:
21 loads
Step-by-step explanation:
357/17=21
The _____ measures the variation in the dependent variable that is explained by variables other than the independent variable in simple regression analysis .
a. total sum of squares
b. sum of squares error
c. sum of squares within
d. sum of squares regression
what is statistics ???
explain !!!
Answer:
what is statistics ???
explain !!!
Step-by-step explanation:
Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data. ... Probability is a mathematical language used to discuss uncertain events and probability plays a key role in statistics.Please mark me as brainliest
if Angle 1 and angle 2 are complementary, angle 1 = (6.c + 3) and angle 2 = (4x + 7) , what does angle 2 =?
39
60
8
51
Answer:
C
Step-by-step explanation:
They are complementary which means they add to 90. I take it that the c is a typo and you meant x
6x + 3 + 4x + 7 = 90 Combine like terms.
10x + 10 = 90 Subtract 10 from both sides
10x = 90 - 10
10x = 80 Divide by 20
x = 80/10
x = 8
Really need help quick
Answer:
Total Number of times Spun = 1200
Key sentence: "Pr(Red) is same as Pr(Yellow).
Pr(Green)= 0.2
0.2 = x/1200
x= 0.2 x 1200
x = 240.
It landed on green 240 times
Pr(Brown) =0.54
0.54 = y/1200
y= 1200 x 0.54
y= 648.
Now
To get the Number of times it landed on Red and Yellow
You simply subtract that of Green and Brown from 1200 and divide this result by 2(Since Red and Yellow are have equal occurrence).
1200 – (648 + 240)
= 312.
312/2 = 156.
So It landed on Red and Yellow 156 times each.
Step-by-step explanation:
Red ----- 156times
Green -----240times
Brown ----- 648times
Yellow -----156times
please help me answer this question.. am giving brainliest
Step-by-step explanation:
We are going to use the following properties of logarithms to solve this problem:
[tex]\log{\dfrac{a}{b}} = \log{a} - \log{b}[/tex]
and
[tex]\log{ab} = \log{a} + \log{b}[/tex]
So we can rewrite the given equation as
[tex]\log{2x^3} - \log{x} = \log{\left(\dfrac{2x^3}{x}\right)} = \log{2x^2}[/tex]
Also,
[tex]\log{16} + \log{x} = \log{(16x)}[/tex]
So we can write
[tex]\log{2x^2} = \log{(16x)}[/tex]
or eliminating the log symbols, we get
[tex]2x^2 = 16x[/tex]
The solutions for the equation above are
[tex]x = 8\:\text{and}\: 0[/tex]
plz help!!!!!!!!!!!!!!!!!!!
Answer:
X= 30
y= 10
Step-by-step explanation:
(2x+90)=5x ( Opposite angles)
2x+90=5x
5x-2x= 90
3x=90
x=90/3
x= 30°
5x =5(30)=150
2x+90=2(30)+90=60+90=150
3y+150=180
3y=180-150
3y=30
y=30/3
y=10
I hope I helped you^_^
Answer:
Step-by-step explanation:
A cab company charges $3 per cab ride,
plus an additional $2 per mile driven. How
long is a cab ride that costs $11?
miles
Answer:
The answer is c = 2 + 3d .
Step-by-step explanation:
It is given that a cab ride cost $2 which is a fixed amount and charges additional $3 per mile. So you have to make an equation of c in terms of d :
Let c be the cost,
Let d be the distance,
c = 2 + 3d
Evaluate the expression.
6(3 + 5)
26.
4
HELP
Answer =1267.2
Step-by-step explanation:
6(3+5)26.4
6×8×26.4
48×26.4
1267.2 is the answer
Solve for x: x^2+4b=0
Answer:
[tex] {x}^{2} + 4b = 0 \\ {x}^{2} = - 4b \\ x = \sqrt{ - 4b} \\ x = 2 \sqrt{b} i \\ thank \: you[/tex]
using the recursive definition for the following arithmetic sequence, find the second, third, and fourth terms of the sequence. then writes the explicit formula that represents the sequence.
Step-by-step explanation:
[tex]A(2)=A(2-1)+6=A(1)+6=12+6=18[/tex]
Find A in degrees C= 120° b= 5 c= 11
Answer:
36.8
Step-by-step explanation:
I think A=36.8
Hope it will help you (:
40 points please help
Answer:
[tex]\huge\boxed{-2}[/tex]
Step-by-step explanation:
Use any two points from the line.
Let them be:
(x1,y1) = (0,-2)
(x2,y2) = (-1,0)
Now,
[tex]\displaystyle Slope = \frac{y_2-y_1}{x_2-x_1} \\\\Slope = \frac{0-(-2)}{-1-0} \\\\Slope = \frac{2}{-1} \\\\Slope = -2\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Help will give Brainly points
inductive reason what is next number in sequence 400, 200, 300, 150, 250
Answer:
125
Step-by-step explanation:
400÷2 = 200
300÷2 = 150
so,
250÷2 = 125
A triangle with a perimeter of 30 inches has sides of x+3, 2x+5, and x. find the value of x
Answer:
x = 5.5 inches.
Step-by-step explanation:
The perimeter is the sum of the 3 sides, so:-
x + x + 3 + 2x + 5 = 30
4x + 8 = 30
4x = 22
x = 5.5.
3) A bullet travels 2400 feet per second. Write this in miles per hour, rounded to the nearest
whole mile per hour. Reference: 1 mile = 5280 feet
Answer:
1636mi/hr
Step-by-step explanation:
2400ft/s = _______mi/hr 1 hr = 3600s 1mi = 5280ft
2400ft/s x 3600s/hr x 1mi/5280ft = 1636mi/hr
The angle made by circle is ______.
Answer:
Step-by-step explanation:
360 degrees
Answer:
No angle is made
Step-by-step explanation:
According to me an angle is a point where two or more lines meet and apparently a circle has no meeting lines expect with given radii , diameters or chords
