Answer:
5. (8,33) (-1, -21) (5, 15)
6. (-5, 29) (2, 1) (4, -7)
7. (-4, -9) (0, -1) (7, 13)
8. (-9, 0) (1, 8) (5, 4)
Step-by-step explanation:
Since X is given, you plug it into the equations.
Then put the answers into the Y. hope it helps!!
Determine the sum of the first 19 terms of the following series:
6−12+24−48+
Answer:
6-12
24-48
6-2424-196dirst 6 multiplied by four same next series
8 to the power of 6 divided by 8 to the power of 2
PLZ HELP ASAP WILL MARK BRAINLIEST
Answer:
4096
Step-by-step explanation:
8^6÷8^2
First step is to solve the exponents
8 to the power of 6 is 262144
8 to the power of 2 is 64
Then divide 262144 by 64 : 4096
Answer:
it is a law of axponent that is a to the power m divided by a to the power n = a to the power m-n
so 8 to the power 6-2
= 8 to the power 4
that will be 4,096
Table 8 shows the values of two variables, x and y, obtained from an experiment. Variables x and y are related by the equation y = a(1-6), where a and b are constants. Jadual 8 menunjukkan nilai-nilai bagi dua pembolehubah, x dan y, yang diperoleh daripada suatu eksperimen. Pembolehubah x dan y dihubungkan oleh persamaan y=a(1-6)", dengan keadaan a dan b ialah pemalar 1 2 3 4 5 2.19 3.61 y 5.50 8.32 12.51 20.42 Table 8 Jadual 8 (a) Based on Table 8, construct a table for the values of log.ny. Berdasarkan Jadual 8, bina satu jadual bagi nilai-nilai logo y. [1 mark] [1 markah] (6) Plot logio y against x, using a scale of 2 cm to 1 unit on the x-axis and 2 em to 0.2 unit on the logo y -axis. Hence, draw the line of best fit [3 marks]
Answer:
TABLE 8
Step-by-step explanation:
prove that.....cos^2α(cosec^2α-cot^2α)=cos^2α
Step-by-step explanation:
We must prove that
cos²a(csc²a-cot²a) = cos²a
If we look at both sides, we can see that we have cos²a * something = cos²a. Therefore, if we can get that something to equal 1, we have our proof. In this case, that something is csc²a-cot²a. Using this information, we can work from within the parenthesis and go from there.
We can start by expanding the items in the parenthesis. Taking that csc(x) = 1/sin(x) and cot(a) = cos(x)/sin(x), we can say that
cos²a(csc²a-cot²a) = cos²a(1/sin²a - cos²a/sin²a). Because both items in the parenthesis have a denominator of sin²a, we can subtract cos²a from 1 to get
cos²a(1/sin²a - cos²a/sin²a)= cos²a((1-cos²a)/sin²a))
Next, we know that cos²a+sin²a=1, so 1-cos²a = sin²a. Plugging that in, we get
cos²a((1-cos²a)/sin²a)) = cos²a(sin²a/sin²a)
= cos²a(1)
= cos²a
hello, can i please get some please on this one ASAP! i will mark as BRAINLIEST!!
Answer:
[tex](x+6)(x-6)[/tex]
Step-by-step explanation:
Hi there!
The difference of squares theorem states that [tex]a^2-b^2=(a+b)(a-b)[/tex].
We're given:
[tex]x^2-36[/tex]
This can be rewritten since 36 is a perfect square:
[tex]=x^2-6^2[/tex]
Use the difference of squares theorem:
[tex]=(x+6)(x-6)[/tex]
I hope this helps!
Answer:
(x-6)(x+6)
Step-by-step explanation:
x^2 -36
Rewriting
x^2 - 6^2
We know a^2 - b^2 = (a-b)(a+b)
(x-6)(x+6)
Nêu mệnh đề phủ định của mệnh đề sau và xét tính đúng sai của mệnh đề phủ định: ∀x∈R:x^{2} ≠ 1
Answer:
true
Step-by-step explanation:
[tex]existential \: element \: of \: real \: number \: \binom{o}{o} x {}^{2} = 1[/tex]
Viết phương trình đường thẳng biết
a) vuông góc với đường thẳng x+2y=1 và đi qua A(1;2)
b) đi qua gốc toạ độ và đi qua điểm M (-1;3)
Answer:
Step-by-step explanation:
a) 2x - y = 0
A ski rental service charges a $12.50 initial
flat rate and then an additional $1.00 per
hour. In this situation, what is the value of
the slope?
Answer:
1
Step-by-step explanation:
In this situation, the slope is 1.
This is because the ski rental service charges $1 per hour.
The $12.50 initial flat rate represents the y intercept, while the hourly charge is the slope.
So, the value of the slope is 1.
What would your position on the circle (cos q, sin q) be after rotating 72degrees from the point (1,0)?
A=(.97, .25)
B=(.31, .95)
C=(.95, .31)
D=(.25, .97)
Answer:
B=(.31, .95)
Step-by-step explanation:
When your at the point (1,0) you are at 0 degrees (cos 0, sen 0) = (1,0).
So at 72 degrees you moved 72 degrees (cos 72, sin 72) = (.31, .95)
How many roots does the graphed polynomial function have?
A. 1
B. 2
C. 4.
D. 3 I’m
Answer:
3 roots
Step-by-step explanation:
The roots are the values of x on the x- axis where the graph crosses x- axis
The graph crosses the x- axis at 3 points, thus has 3 roots
What type of number is 37 + 1?
Choose all answers that apply:
Whole number
Integer
Rational
Irrational
help
Answer:
Irrational
Step-by-step explanation:
The constant [tex]\pi[/tex], or "pi", is an irrational mathematic constant that corresponds to a non-terminating (never-ending decimal). Because there are an infinite number of digits in pi, pi cannot be expressed as a fraction and therefore is irrational.
Multiplying or adding a rational number does not make pi rational, and therefore the desired answer is (D) Irrational.
On a baseball field, the pitcher's mound is 60.5 feet from home plate. During practice, a batter hits a ball 226 feet at an angle
of 39° to the right of the pitcher's mound. An outfielder catches the ball and throws it to the pitcher. Approximately how far does
the outfielder throw the ball?
Answer:
183.0 ft
Step-by-step explanation:
Using the intercept method, what are the two points to plot when graphing the line x + 3y = 6?
Answer:
The Slope-Intercept Form is essentially a special case of the Point-Slope Form. It's said that two points determine a line. That truism is used to quickly sketch a line if its equation is given in the Two Intercept-Form ax + by = c. We get the y-intercept by setting x = 0 and solving for y: by = c, y = c b .
Step-by-step explanation:
plzzz make brainlist and follow
Answer:
(0,2) and (6,0)
Step-by-step explanation:
y-intercept, x=0
0+3y=6
y=2
x-intercept, y=0
x=6
I have a/some question(s) for yall,
1. What's the ratio of 30 freshmen to 100 seniors ? as a fraction in simplest form
2.give two equivalent ratios to 1/4
3. Adam has 12 pennies and Selene has 60 pennies whats the ratio of selenes pennies to adams pennies in simplest form?
Answer:
1. 30:100 = 30/100=3/10
2. 2:8, 3:12
3. 60:12 = 5:1 or 5/1
Step-by-step explanation:
Compare the value of the following expression with zero. 5a^3b^2/a+b, where a<0, b<0
Answer:
The given expression will be greater than zero.
Step-by-step explanation:
If a < 0 and b < 0, then 5a^3 is < 0 (5a^3) is negative;
but b^2 is > 0.
Then (5a^3)*(b^2) < 0
and if we divide this quantity by a + b (which is negative), the end result will be > 0.
What are the coordinates of the point on the directed line segment from (−5,−9) to (-1, 7) that partitions the segment into a ratio of 5 to 3?
Answer:
(-2.5,1)
Step-by-step explanation:
Let the point be (m, n). Using section formula we have
m=(5*(-1)+3*(-5))/(5+3)=-20/8=-2.5
n=(5*(7)+3*(-9))/(5+3)=1
cosec^2θ-1/cosec^2θ=cos^2θ
cosec(2t)=1/sin(2t) ==> 1/(2×cos(t)×sin(t))
cos(2t)= 1-2sin²t
or 2cos²t-1
or cos²t - sin²t
after we knew this informations we have to write it in the question
1/2×sint×cost-1/1/2×sint×cost=cos2t
-2×sint×cost+1/2sint×cost/1/2sint×cost=cos2t
the 2sint×cost will gone
-2×sint×cost+1=cos2t
lets take cos2t =1-2sin²t
-2×sint×cost+1=1-2sin²t
-2sint×cost=-2sin²t
cost=sint
that means the t is equal to 45 because sin45 and cos45 equal to √2/2
hopefully i didn't waste your time by reading and not understanding my English is not that good sorry
Answer:
see explanation
Step-by-step explanation:
Using the identities
cosec x = [tex]\frac{1}{sinx}[/tex] , 1 - sin²θ = 1
Consider the left side
[tex]\frac{cosec^20-1}{cosec^20}[/tex]
= [tex]\frac{\frac{1}{sin^20}-\frac{sin^20}{sin^20} }{\frac{1}{sin^20} }[/tex]
= ( [tex]\frac{1}{sin^20}-\frac{sin^20}{sin^20}[/tex] ) × [tex]\frac{sin^20}{1}[/tex] ← distribute parenthesis by sin²θ
= 1 - sin²θ
= cos²θ
= right side, thus proven
When a certain number is divided by 48,72 or 100 the remainder in each case is 3.... Find the number
Answer:
The number is 4875
Step-by-step explanation:
Given:
f(x) = -4x + 2
g(x) = 2x^2 + 4x - 5
Find:(f + g)(x)
Answer:
2x^2-3
Step-by-step explanation:
f(x) = -4x + 2
g(x) = 2x^2 + 4x - 5
(f+g)(x) = -4x + 2+ 2x^2 + 4x - 5
Combine like terms
= 2x^2-4x+4x+2-5
=2x^2-3
Answer:
2x ^ 2 - 3
Step-by-step explanation:
f(x) = -4x + 2
g(x) = 2x ^ 2 + 4x - 5
(f + g)(x) = -4x + 2 + 2x ^ 2 + 4x - 5
= 2x ^ 2 - 4x + 4x + 2 - 5
= 2x ^ 2 - 3
p->q is false and p is true.
q is
a.true
b.false
Answer:
Choice b. [tex]q[/tex] has to be false.
Step-by-step explanation:
Consider the truth table of [tex]p \implies q[/tex] ([tex]p[/tex] implies [tex]q[/tex]).
[tex]p[/tex] is true and [tex]q[/tex] is true: [tex]p \implies q[/tex] would be true.[tex]p[/tex] is true and [tex]q[/tex] is false: [tex]p \implies q[/tex] would be false.[tex]p[/tex] is false and [tex]q[/tex] is true: [tex]p \implies q[/tex] would be true.[tex]p[/tex] is false and [tex]q[/tex] is false: [tex]p \implies q[/tex] would also be true.The only combination where [tex]p \implies q[/tex] is false is when [tex]p[/tex] is true and [tex]q[/tex] is false. Hence, the [tex]q\![/tex] here must be false.
1. Which of these is most likely to describe the number of yards lost in a football game?
A. rational number
B. whole number
C. real number
D. integer
Answer:
Step-by-step explanation:
whole number with the occasional jump into rational numbers when a down like 2nd and 5 1/2 to go.
Simplify. (x2+2x-4)+(2x-5x-3)
Answer:
Step by Step Solution
More Icon
STEP
1
:
3
Simplify ——
x2
Equation at the end of step
1
:
3
((((2•(x2))-5x)-——)+2x)-3
x2
STEP
2
:
Equation at the end of step
2
:
3
(((2x2 - 5x) - ——) + 2x) - 3
x2
STEP
3
:
Rewriting the whole as an Equivalent Fraction
3.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using x2 as the denominator :
2x2 - 5x (2x2 - 5x) • x2
2x2 - 5x = ———————— = ———————————————
1 x2
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
2x2 - 5x = x • (2x - 5)
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x • (2x-5) • x2 - (3) 2x4 - 5x3 - 3
————————————————————— = —————————————
x2 x2
Equation at the end of step
4
:
(2x4 - 5x3 - 3)
(——————————————— + 2x) - 3
x2
STEP
5
:
Rewriting the whole as an Equivalent Fraction :
5.1 Adding a whole to a fraction
Rewrite the whole as a fraction using x2 as the denominator :
2x 2x • x2
2x = —— = ———————
1 x2
Polynomial Roots Calculator :
5.2 Find roots (zeroes) of : F(x) = 2x4 - 5x3 - 3
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
cho f(t)=(t-4)u(t-2)phep bien doi laplace la
F(s)=e^-2s/s^2-2e^-2s/s62
Step-by-step explanation:
cho f(t)=(t-4)u(t-2)phep bien doi laplace la
F(s)=e^-2s/s^2-2e^-2s/s62
the sum of the fractions 2/y-3 and 6/y+3 is equal to their
Step-by-step explanation:
Move expression to the left side and change its sign
5
y
−
3
+
10
y
2
−
y
−
6
−
y
y
+
2
=
0
Write
−
y
as a sum or difference
5
y
−
3
+
10
y
2
+
2
y
−
3
y
−
6
−
y
y
+
2
=
0
Factor out
y
and
−
3
from the expression
5
y
−
3
+
10
y
(
y
+
2
)
−
3
(
y
+
2
)
−
y
y
+
2
=
0
Factor out
y
+
2
from the expression
5
y
−
3
+
10
(
y
+
2
)
(
y
−
3
)
−
y
y
+
2
=
0
Write all numerators above the least common denominator
5
(
y
+
2
)
+
10
−
y
(
y
−
3
)
(
y
+
2
)
(
y
−
3
)
=
0
Distribute
5
and
−
y
through the parenthesis
5
y
+
10
+
10
−
y
2
+
3
y
(
y
+
2
)
(
y
−
3
)
=
0
Collect the like terms
8
y
+
20
−
y
2
(
y
+
2
)
(
y
−
3
)
=
0
Use the commutative property to reorder the terms
−
y
2
+
8
y
+
20
(
y
+
2
)
(
y
−
3
)
=
0
Write
8
y
as a sum or difference
−
y
2
+
10
y
−
2
y
+
20
(
y
+
2
)
(
y
−
3
)
=
0
Factor out
−
y
and
−
2
from the expression
−
y
(
y
−
10
)
−
2
(
y
−
10
)
(
y
+
2
)
(
y
−
3
)
=
0
Factor out
−
(
y
−
10
)
from the expression
−
(
y
−
10
)
(
y
+
2
)
(
y
+
2
)
(
y
−
3
)
=
0
Reduce the fraction with
y
+
2
−
y
−
10
y
−
3
=
0
Determine the sign of the fraction
−
y
−
10
y
−
3
=
0
Simplify
10
−
y
y
−
3
=
0
When the quotient of expressions equals
0
, the numerator has to be
0
10
−
y
=
0
Move the constant,
10
, to the right side and change its sign
−
y
=
−
10
Change the signs on both sides of the equation
y
=
10
Check if the solution is in the defined range
y
=
10
,
y
≠
3
,
y
≠
−
2
∴
y
=
10
Answer:
I think "Product" is the answer. Not really sure.
BRAINLIEST graphing question
Answer:
Step-by-step explanation:
pls answer quickly before 3:30
Which of the following is true of the angle shown? Question 10 options:
A) The angle is not in standard position.
B) The terminal side of the angle lies in quadrant II.
C) The measure of the angle is greater than 360°.
D) The angle can be measured in radians only.
Answer:
The measure of the angle is greater than 360°.
Please help quick! ASAP please!
Answer:
11.55
Step-by-step explanation:
Select the correct answer.
What is the value of x in the figure?
X
400
700
A. 40°
B. 70°
C.80°
D. 120°
E. 150°
Answer: x = 150
Step-by-step explanation:
See the liner pair of angle 70 will be 110 degrees.
Then using angle sum property third angle will be
Third angle = 180 - 150
Third angle of the triangle = 30
Now linear pair of the 30 degree angle
30+x = 180
x = 180-30
x = 150
Therefore answer is option e x = 150.
please click thanks and mark brainliest if you like :)
The measure of the value of angle x is 150°, and the correct option is E
What is the linear pair of angles?Linear pair of angles are formed when two lines intersect each other at a single point.
The angles are said to be linear if they are adjacent to each other after the intersection of the two lines.
BY applying linear pair angles;
[tex]\rm \angle 1+\angle 2=180\\\\70 +\angle 2=180\\\\ \angle 2=180-70\\\\ \angle 2=110\\\\[/tex]
The sum of the three angles is 180.
[tex]\rm \angle 1+\angle 2+ \angle 3=180\\\\ 110+40 +\angle 3=180\\\\150+\angle 3= 180\\\\\angle 3=180-130\\\\\angle 3=30[/tex]
The measure of the value of angle x is;
[tex]\rm 30+x = 180\\\\x = 180-30\\\\x = 150[/tex]
Hence, the measure of the value of angle x is 150°, and the correct option is E.
Learn more about linear pair angles here;
https://brainly.com/question/12743768
#SPJ2
On a map, two mountains are 5 7/8 inches apart. If 1/2 of an inch on the map represents 80 miles, then how many miles apart
Answer:
235 miles
Step-by-step explanation:
80(5 7/8÷ 2)