The measure of angle ABC is 132°.
The total measure of ABC and BCD is 180° because it is a straight angle.
If BCD is 48°, they ABC is 132°. You get this because you subtract 180° by 48°.
The product of two consecutive integers is 72.
Which of the following could be their sum?
E. -17
F. -1
G. 1
H. 18
Answer:
First I would find the square root of 72 with a calculator, which happens to be 8.49 (rounded to the nearest hundreth)
So we know that the two integers will be close to 8.48
Since they are consecutive, lets first test out 8 and 9
We multiply these two and get 72, which is the number we were looking for.
now we find their sum.
9 + 8 = 17
Now since this is not part of the answers, we now asume that both 9 and 8 are negative numbers, since negative times a negative is a positive, but a negative plus a negative can still be negative.
-9 + -8 = -9 - 8 = -17!
So, the answer you are looking for is E: -17
If k‐th term of a sequence is ak = ( -1) ^k(2-k)k/2k-1
,what is its next term ak+1 when k is even?
Given:
kth term of a sequence is
[tex]a_k=\dfrac{(-1)^k(2-k)k}{2k-1}[/tex]
To find:
The next term [tex]a_{k+1}[/tex] when k is even.
Solution:
We have,
[tex]a_k=\dfrac{(-1)^k(2-k)k}{2k-1}[/tex]
Put k=k+1, to get the next term.
[tex]a_{k+1}=\dfrac{(-1)^{k+1}(2-(k+1))(k+1)}{2(k+1)-1}[/tex]
If k is even, then k+1 must be odd and odd power of -1 gives -1.
[tex]a_{k+1}=\dfrac{(-1)(2-k-1)(k+1)}{2k+2-1}[/tex]
[tex]a_{k+1}=\dfrac{(-1)(1-k)(1+k)}{2k+1}[/tex]
[tex]a_{k+1}=-\dfrac{1^2-k^2}{2k+1}[/tex] [tex][\because (a-b)(a+b)=a^2-b^2][/tex]
[tex]a_{k+1}=-\dfrac{1-k^2}{2k+1}[/tex]
Therefore, the next term is [tex]a_{k+1}=-\dfrac{1-k^2}{2k+1}[/tex].
find the missing side of the triangle below. please round your final answer to the nearest tenth. Be sure to show all work! Use pythagorean theorem
Roxanne invests $4.000 into an account that pays 4% simple interest. Roger invests the same amount of money with the same rate, but the
Interest is compounded annually. What will be the difference in Roxanne's and Roger's accounts after five years if no additional amounts are
deposited? Round to the nearest cent.
Answer:
Step-by-step explanation:
What grade?
Answer:
$67
Step-by-step explanation:
4000 for 4% equal $160/year total in 5 year equal $4800
the other one 4160 1 year, 4327 2 year, 4500 3 year, 4680 4 year, 4867 5 year the difference is $67 more has Roger than Roxanne
I need help and D. Is x>-25
Answer:
x>50
Step-by-step explanation:
Answer:
x < 25
Step-by-step explanation:
Given
- 2x > - 50
Divide both sides by - 2, reversing the symbol as a result of dividing by a negative quantity
x < 25
In the diagram below, triangle ABC is congruent to triangle DEF.
A
4 cm
85°
6 cm
60°
35
С
7 cm
B
Which two angles are corresponding?
А
ZA and ZE
B
ZB and D
c
ZA and F
D
ZC and F
Answer:
D. ∠C and ∠FStep-by-step explanation:
Triangle DEF is triangle ABC rotated by 180°
So:
∠A is corresponding to ∠D
∠B is corresponding to ∠B
and ∠C is corresponding to ∠F
Help please!!
Lisa traveled 140 miles on 2/5 of a tank of gas. At this rate, how far can she travel on one tank of gas?
Answer:
350miles
Step-by-step explanation:
what is x in 4x²-12x+ 9 = 0
Answer: x = √9/8
answer is x = square root of 9/8
Step-by-step explanation:
Quadrilaterals ABCD and EFGH are shown in the coordinate plane. Quadrilaterat ABCD will be reflected across the x-axis and then rotated 90 clockwise about the origin to create quadrilateral A^ prime B^ prime C^ prime D^ prime . What will be the y -coordinate of B?
Answer:
Step-by-step explanation:
180 degree rotation about point C prime composition reflected across line m
Transformation involves changing the position of a quadrilateral by reflecting and/or rotating it.
The y-coordinate of B" is 3
The coordinates of vertex B of quadrilateral ABCD is:
[tex]\mathbf{B = (-3,7)}[/tex]
The rule of reflection across the x-axis is:
[tex]\mathbf{(x,y) \to (x,-y)}[/tex]
So, we have:
[tex]\mathbf{B' = (-3,-7)}[/tex]
The rule of 90 degrees clockwise rotation across the origin is:
[tex]\mathbf{(x,y) \to (y,-x)}[/tex]
So, we have:
[tex]\mathbf{B" = (-7,3)}[/tex]
Hence, the y-coordinate of B" is 3
Read more about transformation at:
https://brainly.com/question/18549175
what is the distance between -8 and -1.9 on a number line?
Answer:
6.1
Step-by-step explanation:
hope this helps :D pls mark brainliest :D
the distance between the two number is 6.1
Graph the following line. y=3/2x -5
Answer:
See the attached image.
Step-by-step explanation:
Remember the equation of the line is y = mx + b.
m = 3/2 (slope) ... rise/run. up 3 over 2.
b = -5 (y-intercept)
*These lines go on forever.
The graph of the line y = (3/2)x - 5 is given below.
Given that:
Equation of the line is y = (3/2)x - 5
The linear equation is given as,
x/a + y/b = 1
Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.
Convert the equation into intercept form, then we have
y = (3/2)x - 5
(3/2)x - y = 5
x / 3.33 + y / (-5) = 1
The graph of the line is given below.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ6
I need the answers please can anyone solve this one?
Answer:
This is it.
HI=8
GH=15
GI=17
Xina has $289 and spends $55 at the grocery
store, and $32 on gas. How much does she
have left?
Please answer quickly its a test and i need to get a good grade on it, will give brainliest
What was an important impact of the Louisiana Purchase?
A. The land size of the United States was doubled and vast new resources were acquired.
B. The United States was pushed into a long, costly war with the Indian tribes in the territory.
C. The United States became a major world power rivaling Great Britain in wealth and influence.
D. The people of the United States began an immediate land rush into the territory to form new states.
I think the answer is A because it I'm right it did double the size.
(04.01 LC)
Simplify quantity x squared plus 5 x plus 6 end quantity over quantity x plus 2
x2 + 1
x2 − 1
x + 3
x − 3
Question 4(Multiple Choice Worth 5 points)
(04.03 MC)
What are the vertical asymptotes of the function f(x) = the quantity of 2x plus 8, all over x squared plus 5x plus 6?
x = −3 and x = −2
x = −3 and x = 2
x = 1 and x = −2
x = 1 and x = 2
Question 5(Multiple Choice Worth 5 points)
(04.02 LC)
Identify the restrictions on the domain of f(x) = quantity x minus 3 over quantity x plus 5.
x ≠ 5
x ≠ −5
x ≠ 3
x ≠ −3
Question 6(Multiple Choice Worth 5 points)
(04.02 LC)
What are the discontinuity and zero of the function f(x) = quantity x squared plus 6 x plus 8 end quantity over quantity x plus 4?
Discontinuity at (4, 6), zero at (−2, 0)
Discontinuity at (4, 6), zero at (2, 0)
Discontinuity at (−4, −2), zero at (−2, 0)
Discontinuity at (−4, −2), zero at (2, 0)
Question 7 (Essay Worth 10 points)
(04.02 MC)
Show all work to identify the asymptotes and zero of the function f of x equals 3 x over quantity x squared minus 9.
Add Audio Add Video
Question 8 (Essay Worth 10 points)
(04.04 MC)
The aquarium has 6 fewer yellow fish than green fish. 40 percent of the fish are yellow. How many green fish are in the aquarium? Show your work.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
In question 1:
[tex]\to \frac{x^2+5x+6}{x+2}\\\\\to \frac{x^2+(3+2)x+6}{x+2}\\\\\to \frac{x^2+3x+2x+6}{x+2}\\\\\to \frac{x(x+3)+2(x+3)}{x+2}\\\\\to \frac{(x+3) (x+2)}{x+2}\\\\\to (x+3)[/tex]
In question 2:
[tex]\to \frac{2x+8}{x^2+5x+6}\\\\[/tex]
[tex]\to x^2+5x+6=0\\\\\to (x+3)(x+2)=0\\\\\to x+3 =0 \ \ \ \ \ \ x+2 =0\\\\\to x = -3 \ \ \ \ \ \ x=-2 \\\\[/tex]
In question 3:
[tex]\to f(x) = \frac{x-3}{x+5}\\\\\to f(x) \neq 0\\\\when\\\to x+5=0\\\\\to x=-4 \ excluded \ value \\\\\to x \neq 5[/tex]
In question 4:
[tex]\to f(x) = \frac{x^2+6x+8}{(x+4)}\\\\\to f(x) = \frac{x^2+(4+2)x+8}{(x+4)}[/tex]
[tex]\to f(x) = \frac{x^2+4x+2x+8}{(x+4)}\\\\\to f(x) = \frac{x(x+4)+2(x+4)}{(x+4)}\\\\\to f(x) = \frac{(x+4)(x+2)}{(x+4)}\\\\\to f(x) = x= -4 and -2[/tex]
In question 5:
[tex]\to f(x) =\frac{3x}{x^2-9} \\\\ \to f(x) =\frac{3x}{x^2-3^2} \\\\ \to f(x) =\frac{3x}{(x+3)(x-3)}[/tex]
In question 6:
total number of fish = x
yellow fish [tex]= \frac{40}{100}=0.4X[/tex]
green fish [tex]= \frac{60}{100}) =0.6X[/tex]
It is now the case that the yellow fish number is 6 less than the green fish number.
[tex]\therefore \\\\\to 0.6x-0.4x = 6 \\\\\to 0.2x = 6\\\\\to x= \frac{6}{0.2} \\\\\to x=30[/tex]
green fish [tex]= 0.6 \times 30=18[/tex]
I think of a number, multiply it by three, and add four. I get twenty two.
Hurry please
What are the slope and y-intercept of the linear function
graphed to the left?
O slope: -2; y-intercept: 2
O slope: -1/2 y-intercept: 1
O slope: 1/2y-intercept: 2
O slope:2, y-intercept: 1
Answer:
B. slope: -1/2 , y-intercept: 1
rise over run. go down one, means a negative 1. too the right twice, means positive 2. y-intercept is obvious, it's just the point in which the line intercepts the y-axis.
What is the first difference of the following arithmetic sequence?
{3, 1,-1,-3...}.
A.2
B.3
C.-2
D.5
the answer is C im fairly certain
What’s the answer????
Perry currently has $238 dollars and is spending $6 per day. Nick has no money but is earning $8 each day. After how many days will they have the same amount of money?
Answer:
are you sure it is not 180? if it is it is 12.87
but if it is 238 it is 21 days or something close
Divide (6y2 + lly + 3) by (3y + 1).
A. 2y2 + 1
B. 2y2 + 3
C. 2y + 3
D. 2y + 1
Answer:
ether:
y= 1/3 = 0.333
OR
y= 3/2 = 1.500
Which is true? Any translation can be replaced by two reflections. Any translation can be replaced by two rotations. Any rotation can be replaced by a reflection. Any reflection can be replaced by a rotation followed by a translation.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
There is no numbering of the question, which is specified in the enclosed file. please, Find it.
In point 1, the statement is true .
In point 2, the statement is False.
In point 3, the statement is true .
In point 4, the statement is False.
adding and subtracing linear wxpressions 12(−4x+8)−14(8x−12)
Answer:
-160x+264
Step-by-step explanation:
-48+96x-112x+168
-160+264
Justify Step 4 of this Proof
Answer:
I believe it's SSS
Step-by-step explanation:
This is because all sides are congruent to each other.
On a road trip, a family drives 350 miles per day. How many days, d, must they trave
to reach a distance of at least 1400? Write an inequality to represent this
situation.
Answer:
1400< 350d (its less than or equal to, but i cant put the bar under.
Yesterday I drank 16 cups of coffee. Today I drank 82% more cups. How many cups of coffee did I drink today?
Answer: 29.12 cups of coffee
Step-by-step explanation:
16 cups of coffee x 0.82 = 13.12
13.12 + 16 = 29.12
71.9 divide by 8 using long division.
Answer:
8.9875
Step-by-step explanation:
Answer:
8.9875
calculators solve (almost) every problem
Solve -(10x + 1) + 4(x- 1) = -23
Answer:
x = 3Step-by-step explanation:
-(10x + 1) + 4(x- 1) = -23 expand-10x - 1 + 4x - 4 = -23 combine similar terms-10x + 4x = -23 + 1 + 4 simplify-6x = -18 divide -6 both sidesx = -18 / -6 simplifyx = 3what is the slope of a line passing through the points (7,5) and (3,5)
Answer:
[tex]m=0[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (7, 5)
Point (3, 5)
Step 2: Find slope m
Substitute: [tex]m=\frac{5-5}{3-7}[/tex]Subtract: [tex]m=\frac{0}{-4}[/tex]Divide: [tex]m=0[/tex]Answer:
0/-4
Step-by-step explanation:
You would us the slope formula: [tex]\frac{y2-y1 }{x2-x1}[/tex]
so y2 is 5 and y1 is 5 so 5-5= 0
then x2 is 3 and x1 is 7 so 3-7= -4
so the slope is [tex]\frac{0}{-4}[/tex]
HELP ILL GIVE BRAINLIST
Answer:
$4.25
Step-by-step explanation:
Easy price is 85 so
Divide 85 by 100
0.85
then multiply by 5
0.85*5=4.25
Brainliest please and you're welcome