Answers
Answer:
Step-by-step explanation:
sin^-1 (21/67) = 18.27 degrees
√(67)^2 - (21)^2 = 63.62
Related Questions
6. (a) By dividing through the equation x4 – 10x3 + 32x2 – 40x + 16 = 0 byx?
otherwise, solve the equation completely.
(b) Solve the equation x4 + x3 – 4x2-x + 1 = 0.
(c) Solve the following equation by dividing through by 4x2.
or
Answers
Answer:
(x-2)²(x²-6x+4) or (x-2)²(x-(3+√5))(x-(3-√5))
Step-by-step explanation:
x⁴ – 10x³ + 32x² – 40x + 16 = 0 divide equation
(x⁴-4x³+4x²)-(6x³-24x²+24x)+(4x²-16x+16) = 0
x²(x²-4x+4) - 6x(x²-4x+4) + 4(x²-4x+4) = 0
(x²-4x+4)(x²-6x+4) = 0
(x-2)²(x²-6x+4) = 0
x-2=0 or
x²-6x+4=0 ... roots: x = (6±√(-6)²-4*1*4) / 2 = (6±2√5) / 2 = 3±√5
x=2 or x=3±√5
2/3*Z=1 1/9i will award brillenest
Answers
Answer:
5/3i
Step-by-step explanation:
Answer:
5/3i
Step-by-step explanation:
drag each tile to the correct box. not all tiles will be used.
Find the equations with unit rates greater than the unit rate of the graph. then arrange these equations in order from least to greatest unit rate
Answers
Answer:
[tex]y=\frac{13}{6}x[/tex] [tex]y= \frac{11}{5}x[/tex] [tex]y = \frac{21}{9}x[/tex] [tex]y = \frac{19}{8}x[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Equations with higher unit rate
First, calculate the unit rate of the graph
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1.y_1) = (0,0)[/tex]
[tex](x_2.y_2) = (7,15)[/tex]
So:
[tex]m = \frac{15 - 0}{7 - 0}[/tex]
[tex]m = \frac{15}{7}[/tex]
[tex]m = 2.143[/tex]
For the given options.
The unit rate is the coefficient of x
So: [tex]y = \frac{19}{8}x[/tex]
Going by the above definition of unit rate.
[tex]m = \frac{19}{8}[/tex]
[tex]m = 2.375[/tex]
[tex]y = \frac{27}{13}x[/tex]
[tex]m = \frac{27}{13}[/tex]
[tex]m = 2.077[/tex]
[tex]y = \frac{21}{9}x[/tex]
[tex]m = \frac{21}{9}[/tex]
[tex]m = 2.333[/tex]
[tex]y= \frac{11}{5}x[/tex]
[tex]m= \frac{11}{5}[/tex]
[tex]m= 2.20[/tex]
[tex]y = \frac{15}{7}x[/tex]
[tex]m = \frac{15}{7}[/tex]
[tex]m = 2.143[/tex]
[tex]y = \frac{31}{15}x[/tex]
[tex]m = \frac{31}{15}[/tex]
[tex]y = 2.067[/tex]
[tex]y=\frac{13}{6}x[/tex]
[tex]m=\frac{13}{6}[/tex]
[tex]m=2.167[/tex]
The unit rates grater than the graph's from small to large are:
[tex]y=\frac{13}{6}x[/tex] [tex]y= \frac{11}{5}x[/tex] [tex]y = \frac{21}{9}x[/tex] [tex]y = \frac{19}{8}x[/tex]
[tex]m=\frac{13}{6}[/tex] [tex]m= \frac{11}{5}[/tex] [tex]m = \frac{21}{9}[/tex] [tex]m = \frac{19}{8}[/tex]
The price of a watch was increased by 20% to £198.
What was the price before the increase?
Answers
Answer:
165
Step-by-step explanation:
198/1.2 = 165
24*8+4(4-2)22+3*7-222
Answers
Answer:
hello mate..how dy a?
Step-by-step explanation:
answer is -67
Convert the fraction 5/8 to decimal using long division method
Answers
0.625*5=0.625
Or
1/2=0.5
0.5/2=1.25
1.25/2=0.125
Which is 1/8
borrowed money from a credit union for 3 years and was charged simple interest at an annual rate of 2%. The total interest that he paid was . How much money did he borrow?
Answers
Use GCF to rewrite the expressions.
48 + 6m
Answers
6(8+m)
Use transformations of f(x) = x² to graph the following function.
g(x) = x² +5
Select all the transformations that are needed to graph the given function using f(x)= x?.
A. Shift the graph 5 units down.
B. Reflect the graph about the x-axis.
C. Shift the graph 5 units up.
D. Reflect the graph about the y-axis.
E. Shrink the graph vertically by a factor of 5.
F. Shrink the graph horizontally by a factor of 5.
G. Shift the graph 5 units to the left.
H. Shift the graph 5 units to the right.
I. Stretch the graph vertically by a factor of 5.
J. Stretch the graph horizontally by a factor of 5.
Answers
Answer:
C. Shift the graph 5 units up.
Step-by-step explanation:
vertical translation 5 units up
Amir has $200 budget to spend on a graduation party for his son he already has purchased $122 worth of drinks and party supplies he wishes to buy chicken pizza or subs for the main course prices including tax are shown below
Answers
Answer: C, D, and E
Step-by-step explanation:
200-122=78 remaining
A: 7*11.75= 82.25
B: 10*11.75= 117.50
C: 9*6.80=61.20
D: 11*6.80=74.80
E: 70*1.10=77.00
F: 71*1.10=78.10
Only C, D and E are below the dollars remaining in the budget.
2. Find the area; reduce to lowest terms:
Length: 2 3/4 feet width 2/5 feet
Answers
Answer:
1 2/20
Step-by-step explanation:
The distance in New York is 3 hours ahead of the distance in LA. The miles between the cities is 7,120. A plane left New York at 6:25a.m. and arrived at 8:25a.m. local time. At what speed did the plane travel?
Answers
Describe the rays of an angle that measures1/2 turn
Answers
Answer:
Step-by-step explanation:
2.719 I don really know tho
r is between q and s. if rs=47 and qs =83.8 find qr
Answers
I need help on number 3
Answers
Answer:
A
Step-by-step explanation:
slope=y/x=-3/(-4)=3/4
Write the equation of line whose b= -1 and m=5
Answers
Answer:
Step-by-step explanation:
y=mx+b
y=5x-1
Answer:
Step-by-step explanation:
use the slope intercept from of a line, where
y = mx + b
we're given m , and b
y = 5x -1
that's your answer
During the football game, Justin caught three passes. One was for a touchdown and went 52 yards.
The other was for a first down and was for 17 yards. The other was on a screen pass that did not
work so well and ended up a gain of -10 yards. What was the total yardage gained by Justin on the
pass plays?
Answers
Answer:
59
Step-by-step explanation:
52+17-10=59
1)Apply the distributive property to solve the following.
(2 +19) x4
Answer:
Answers
=8+76
=84
All you do is multiply 4 by 2 and then multiply 4 by 19. Then you add it up.
Hope this helps :)
Answer:
4x19+4x2 or 4x21
Step-by-step explanation:
If you multiply 4x19, you get 76. And if you multiply 4x2 you get 8. 76+8= 84
If you multiply 4x21 you get 84 also. Both of these answers are distributive property. (all it is, is different ways of solving the problem.)
Hope this helps! :)
John ran 1 of a mile in 8 minutes. If he continues running 2 at that speed, how long will it take him to run one mile? A) 4 minutes B) 8 minutes C) 12minutes D) 16 minutes
Answers
Answer:
d 16 minutes
Step-by-step explanation:
1 mile equals 8 minutes
2 miles equals 16 minutes
The functions r and s are defined as follows.
r(x) =- 2x+2
s(x)=x²-2
Find the value of r(s (-2)).
r(s(-2)) = 1
口口
Х
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Answers
Answer:
r(s(-2)) = -2
Step-by-step explanation:
We are given these following functions:
[tex]r(x) = -2x + 2[/tex]
[tex]s(x) = x^2 - 2[/tex]
Find the value of r(s (-2)).
First we find the composition of r and s functions. It is:
[tex]r(s(x)) = r(x^2-2) = -2(x^2-2) + 2 = -2x^2 + 6[/tex]
At x = -2
[tex]r(s(-2)) = -2(-2)^2 + 6 = -8 + 6 = -2[/tex]
r(s(-2)) = -2
what is the value of x?
2
3
6
7
Answers
Answer:
A. 2
Step-by-step explanation:
Given:
DC = 1
CE = x + 4
AB = 11
BE = x + 1
Required:
Value of x
Solution:
(DC + CE) × CE = (AB + BE) × BE
(1 + x + 4) × (x + 4) = (11 + x + 1) × (x + 1)
(x + 5) × (x + 4) = (x + 12) × (x + 1)
x² + 4x + 5x + 20 = x² + x + 12x + 12 (distributive property)
x² + 9x + 20 = x² + 13x + 12
Collect like terms
x² - x² + 9x - 13x = - 20 + 12
-4x = -8
Divide both sides by -4
x = -8/-4
x = 2
Answer
A.2 edg 2021
Step-by-step explanation:
Find the circumference of the circle.
Answers
Answer:
18.85, closest answer is A.
C=2πr=2·π·3≈18.84956
PLEASE, do NOT click on any links, or DOWNLOAD suspicious files!
HELPPPPPPP PLSSSSSS !!
Answers
Answer:
B and C
Step-by-step explanation:
Which of the following terms best applies to a reversal of economic output which occurs just before a period of new
economic growth?
a. boom
b. expansion
C. recovery
d. recession
Answers
Answer:
The correct answer is C. Recovery.
Step-by-step explanation:
Economic recovery is the economic stage immediately after a recession, where the economy begins to recover after the crisis. In this stage, there is an increase in production and employment and a decrease in unemployment, which leads to a greater abundance of money in the hands of society, which in turn begins to generate higher rates of consumption. In this phase of the cycle, investments increase, both spontaneously and under the influence of rising earnings. There is an increase in the number and volume of bank loans and deposits placed with banks, with a simultaneous stagnation at a low level or even a decrease in the level of interest rates.
The term that best applies to a reversal of economic output which occurs just before a period of new economic growth is recovery
What is an economic growth?When several periods are compared, economic growth implies an increase in the production of economic goods and services.
When there is a reversal of economic output, the next stage is for the economy to recover.
Hence, the term that best applies is recovery
Read more about economic growth at:
https://brainly.com/question/1690575
Write an equation in the form y = mx + b of the line that is described. The line has the same y-intercept as the line whose equation is y = - 2 + x and is
parallel to the line whose equation is 3x + 3y = 6.
Answers
Answer:
y=x+2
Step-by-step explanation:
So, our line has the same y intercept as the equation is y=-2+x, and parallel to 3x+3y=6
We want to write the equation in y=mx+b form, where m is the slope and b is the y intercept
The y intercept of y=-2+x is -2, (we can rearrange it to be y=x-2) so that's the y intercept of our line
so far, here's our line:
y=mx-2
First, let's put 3x+3y=6 into slope-intercept form
subtract 3x from both sides
3y=-3x+6
divide by 3
y=-x+2
Perpendicular lines are negative and reciprocal; if you multiply their slopes together, the result is -1.
The slope for y=-x+2 is -1.
To find the slope of the new line:
-1m=-1
divide by -1
m=1
The slope of our line is 1
here's our line:
y=x+2
hope this helps!
Frank exercises no less than 40 minutes per day use t to represent Frank's amount of exercise minutes per day.
Answers
9514 1404 393
Answer:
t ≥ 40
Step-by-step explanation:
"No less than" is the same as "greater than or equal to".
t ≥ 40
The sale price of a pair of pants is 65% the regular price of $25. How much do you save by buying the pants on sale? How much do the pants cost? 14 points, emergency
Answers
Answer:
$8.75
Step-by-step explanation:
25 × 0.65 =16.25
25 -16.25=8.75
Answer:
the pants are $16.25
you saved $8.75
A map with a scale of 1 : 50,000 shows the locations of four towns A, B, C, and D.
The distance between Town A and Town B is 6 centimeters, the distance between
Town B and Town C is 7 centimeters, and the distance between Town C and Town D
is 8 centimeters. Given that m2ABC = m_ADC = 90°, find the actual distance
between Town A and Town D.
Answers
Answer:
can you please put your question points higher? anyway the answer is C
Step-by-step explanation:
PLEASE HELP - 30 POINTS
Slope and the properties of perpendicular and parallel lines can be used to confirm that a polygon is a specific type of quadrilateral.
What types of quadrilaterals can you determine by using these properties? List at least two types of quadrilaterals.
Choose one type of quadrilateral from your answer to Question 1. Explain in complete sentences how you can use properties of perpendicular and parallel lines, together with slope, to confirm that a given polygon is the type of quadrilateral you chose. Be sure to clearly state the properties that you need to use.
Answers
Answer:
Step-by-step explanation:
parallelogram , square
if you can show that two opposite sides are parallel but not perpendicular to the other two sides you can say it's a paralleleogram
if you can show that two lines are perpendicular to the other two.. but are stilll parallel to each other.. then you can say it's a square
The slope of the line tells the direction and the steepness of the line. The two types of quadrilaterals which can be determined by the given properties are rectangle and trapezoid.
Given information-The property given in the problem is, slope and the properties of perpendicular and parallel lines can be used to confirm that a polygon is a specific type of quadrilateral.
Slope of a line-
The slope of the line tells the direction and the steepness of the line.
As the slope of the line is given, therefore it can be calculated that which lines are parallel, which lines are perpendicular and which are not.
Rectangle and Trapezoid with the properties of parallel line can be determine.
To choose these quadrilateral, the slope help us out. As the slope of the two parallel line is equal. Thus parallel line can be determined.
The slope of the two perpendicular line is inverse opposite, thus the perpendicular line can be determined.
Hence the two types of quadrilaterals which can be determined by the given properties are rectangle and trapezoid.
Learn more about the slope of the line here;
https://brainly.com/question/2514839
X 2) What is the next number in the sequence?
-2, -10, -50, -250, ...
Answers
Answer:
-2×5=10, -10×5=-50, -50x5=-250. So, the next number is -250×5=-1250
