Answer:
abe = ebc
Step-by-step explanation:
bcos both the seperate angels have the same degree
here are the first five terms of a quadratic sequence (1 8, 21, 40, 65). the nth term of this sequence can be written in the form (an2 + bn). where a and b are integers. work out the value of a and the value of b
Answer:
a=3 and b=-2
Step-by-step explanation:
We are given that five terms of a quadratic sequence are
1 8, 21, 40, 65.
The nth term of this sequence
=[tex]an^2+bn[/tex]
We have to find the value of a and b where a and b are integers.
For n=1
[tex]a+b=1[/tex] ......(1)
For n=2
[tex](2)^2a+2b=8[/tex]
[tex]4a+2b=8[/tex]
[tex]2a+b=4[/tex] .....(2)
Subtract equation (1) from (2) we get
[tex]2a-a=4-1=3[/tex]
[tex]a=3[/tex]
Using the value of a=3 in equation (1)
[tex]3+b=1[/tex]
[tex]b=1-3=-2[/tex]
Hence, the value of
a=3 and b=-2
see ss below
please explain each step
Answer:
p(x) = (x - 5)(x + 1)(x + 4)
General Formulas and Concepts:
Algebra I
Terms/CoefficientsFactoringAlgebra II
Factoring Cubes: [tex]\displaystyle (a \pm b)(ax^2 \mp bx + c)[/tex]Long DivisionSynthetic DivisionStep-by-step explanation:
*Note:
Please excuse my bad handwriting :)
Step 1: Define
Identify
p(x) = x³ - 21x - 20
Linear factor (x - 5)
Step 2: Factor
Option 1: Factoring cubes formula
Factor [Factoring Cubes]: p(x) = (x - 5)(x² + 5x + 4)Factor: p(x) = (x - 5)(x + 4)(x + 1)
Option 2: Long Division
See Attachment
Option 3: Synthetic Division
See Attachment #2
2 1/3 divided by 1/4
Which of the following are true statements about the expression 12^5?
Check all that apply.
A. 12 is the base.
B. 12 is the exponent and tells us how many times we should
multiply 5 by itself.
C. 5 is the exponent and tells us how many times we should multiply 12 by itself.
D. 5 is the base.
Find the value of x and PQ in the image below don’t get to comment what goes in the blank boxes
Answer is:
3
Step by step explanation:
2x-1=x+2
or, 2x-x=2+1
or, x=3
PQ = x+2
= 3+2
= 5
Answered by GAUTHMATH
What is Index Law 2?
please give definition
LAW 2: The second law of indices tells us that when dividing a number with an exponent by the same number with an exponent, we have to subtract the powers. In algebraic form, this rule is as follows . The a represents the number that is divided by itself and m and n represent the powers.
Answer:
The second law of indices tells us that when dividing a number with an exponent by the same number with an exponent, we have to subtract the powers. The a represents the number that is divided by itself and m and n represent the powers. Here is an example for this rule.
Tony runs 100 meters in 10.36 seconds and neal runs the same distance in 10.26 seconds who is the faster runner?
Instructions: Find the missing side. Round your answer to the nearest
tenth.
49
х
66°
X
[tex]\sin(66) = \frac{49}{x} \\ 0.913 = \frac{49}{x} \\ x = 53.6 \\ x = 54[/tex]
The missing side is 53.6 units for the given right triangle.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
The right triangle is given in the question, as shown.
The ratio of the length of the side opposite the angle to the length of the hypotenuse of the triangle. The sine function is denoted by the symbol "sin" and is defined as follows:
sin(θ) = opposite / hypotenuse
Here, θ = 66°
Using the sine ratio in the given triangle, we get
sin 66° = perdenicular/hypertanuas
Substitute the known values in the above ratio,
sin 66° = 49/x
x = 49/sin 66°
x = 53.63717
Rounded to the nearest tenth,
x ≈ 53.6
Thus, the missing side is 53.6 units for the given right triangle.
Learn more about the right triangle here:
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Find the slope.
Directions: For problems 1 through 3, graph the line by using the given X values and find its slope.
Answer:
Answer is in the picture.
please help!! 15 points! I need 5 and 9 answered
Answer:
B: Subtraction property of equality
which expression is equivalent to 13-(-18)
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textsf{13 - (-18)}[/tex]
[tex]\huge\textsf{= 13 + 18}[/tex]
[tex]\huge\textsf{= \bf 31}[/tex]
[tex]\boxed{\boxed{\huge\text{Therefore, your answer is most likely: \textsf{31}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\huge\text{Amphitrite1040:)}[/tex]
Answer:
[tex] \displaystyle 31[/tex]
Step-by-step explanation:
we want to simplify the following expression:
[tex] \displaystyle 13 - ( - 18)[/tex]
remove parentheses and change its sign because we know that two negatives make positive Thus:
[tex] \displaystyle 13 + 18[/tex]
finally simplify addition:
[tex] \displaystyle\bf \fbox{31}[/tex]
hence,
[tex] \displaystyle 13 - ( - 18) = \boxed{31}[/tex]
If 8 is 8% of S, what does S equal?
Answer: S=100.
Step-by-step explanation:
Since 8 is 8% of 100 we know this is right.
Answer:
S = 100
Step-by-step explanation:
The equation is 8/? = 8/100
Multiply 8 x 100 to get 800, then divide by 8% to get 100.
Select the correct answer.
Which statement is true?
Pls help! Timed
Answer:
B
Step-by-step explanation:
B. Sine is an odd function because it is symmetric about the origin (along y=x or y=-x)
Please help answer this question!! 20 points!!!!
Answer:
Relative to such interrogate proposed, the answer is identified as 5520, if quantities ‘a’ and ‘b’ were to subject to define, given such conditions.
Step-by-step explanation:
Understood:
- Such quantity is a four (4) digit number, as explicitly stated.
- The value must be divisible by three (3). Thus, once the digits are summed, such quantity must be able to divide, and distribute evenly, into three (3).
- Likewise, such number is obligated to be divisible by five (5). Thus, the last digit of such quantity must end in either a ‘5’ or a ‘0’.
We were given the mathematical expression: 5a2b
5 + 2 = 7 + x = a number that is divisible by three, as stated in the problem.
X could be a list of differentiated number(s), although for a simplicity, x could be equated to as 5 to produce 12 (which is a factor of three, hence, divisible by three).
Now that ‘a’ has been substituted, ‘b’ must be substituted, similarly:
With ‘b’, we could appoint any number, so long that is either a 5 or 0 in the last digit, hence producing a value divisible my five.
For simplicity, which choosing either 5 or 0 does not make a difference, I will choose zero.
Thus, the rectified answer to such an interrogate is 5520. The difference between the largest of such number and the smallest is their abilities to become divisible by a certain constant ‘a’ and ‘b’.
*I hope this helps.
Which of the following is an example of rigid transformations?
A. Moving the glass from one place to other
B. Cutting a piece of bread
C. Squeezing the cherry
D. All of the choices
Answer:
Moving the glass from one place to other is rigid transformation.
Step-by-step explanation:
The rigid transformation includes rotation, translation, reflection or their combination.
So, Moving the glass from one place to other place is translation. It is example of rigid transformation.
Now, cutting a piece of bread is not rotation or translation or reflection. So, it is NOT rigid transformation.
Squeezing the cherry is not rotation or translation or reflection. So, it is too NOT rigid transformation.
the inverse of f(x) is a function true or false
please help me solve the equations, I re-wrote the question under each of them so you can read it better. Ty
Answer:
45:13/36
46:86/63
47:19/42
48:9/10
49:1/12
Need helppppp I’m stuckkkk
Answer:
b) 94
Step-by-step explanation:
The Total Degree of a Triangle is 180 degrees. Knowing this, set up an equation.
68+26+x=180.
x is the complementary angle of the "?" angle.
Solve the equation.
94+x=180
x=86
Then Subtract 86 from 180 to find "?"
180-86=94
I hope this helps!
Answer:
94;b
Step-by-step explanation:
68+26=94. 180-94=86. 180-86=94.
Question 2 of 10
The function Fx) = log 0.5 x is decreasing. true or false
Answer:
True
Step-by-step explanation:
log0.5= -1.6990
so,anwer is negative than the statement is true
Write as an equation: a triangle has two equal sides and a third side that is 15cm long. How long is each of the equal sides if the perimeter is 50?
Answer:
Step-by-step explanation:
X+x+15=50
It is given 5 and h + 1 are the roots of the quadratic equation x² + (k - 1)x - 5 = 0,where h and k are constant.Find the value of h and k.
Do help me,i'll mark u as the brainliiest!!
Answer:
h=-2
k=-3
Step-by-step explanation:
in ax²+bx+c=0
sum of roots=-b/a
product of roots=c/a
sum of roots=5+h+1=h+6
product of roots=5(h+1)
so h+6=-(k-1)/1
so h+6=-k+1
h+k=1-6
h+k=-5
and 5(h+1)=-5/1
5(h+1)=-5
h+1=-5/5=-1
h=-1-1=-2
-2+k=-5
k=-5+2=-3
If you shift the quadratic parent function, f(x) = x2 right 12 units, what is the
equation of the new function?
A. (x) = x2 - 12
B. AX) = (x + 12)
C. (x) = y2 + 12
D. (X) = (x - 12)
SUBMIT
Answer:
g(x) = (x-12)^2
Step-by-step explanation:
f(x) = x^2
Shifting to theright is of the form
f (x – b) shifts the function b units to the right.
g(x) = (x-12)^2
Someone plz help me on this one
Answer:
76
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan ? = opp side/ adj side
tan ? = 40 / 10
tan ? = 4
Taking the inverse of each side
tan ^ -1 (tan ?) = tan ^-1(4)
? =75.96375653
To the nearest degree
? = 76
If 12 is the greatest common factor of y and 36, how many possible values for y are in between 20 and 80 ?
Answer: 3
Step-by-step explanation: I don’t have an explanation but I got the same question on a quiz and 3 was the correct answer.
the possible values for y are in between 20 and 80 will be 3.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
If 12 is the greatest common factor of y and 36.
The value of y will be a multiple of 12 and greater than 36.
Then the numbers will be
12 x 4 = 48
12 x 5 = 60
12 x 6 = 72
Then the possible values for y are in between 20 and 80 will be 3.
More about the Algebra link is given below.
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The robotics team purchased 3 androids for the purpose of programming. Each of the robots was $398, which included tax. If the tax rate is 8%, what is the TOTAL TAX to be paid?
Answer:
$95.52
Step-by-step explanation:
Number of robots = 3
Cost of each robots = $398
Tax rate = 8%
Amount of tax of each robots = 8% of $398
= 8/100 × $398
= 0.08 × $398
= $31.84
TOTAL TAX to be paid = Amount of tax of each robots × Number of robots
= $31.84 × 3
= $95.52
TOTAL TAX to be paid = $95.52
If the value of a is 8 in f(x)=ax^2, what does the graph look like?
Step-by-step explanation:
the answer is in the image above
see screenshot below
Answer:
4x^2 +2x +1
Step-by-step explanation:
(4x^3 -14x^2 -7x-4) / (x-4)
Using synthetic division
Bringing down the 4 and multiplying and adding
4 4 -14 -7 -4
↓ 16 8 4
-------------------------------
4 2 1 0
The quotient is 4x^2 +2x +1 and the remainder is 0
Answer:
[tex] {4x}^{2} + 2x + 1[/tex]
Step-by-step explanation:
the most handy way to solve the question is Polynomial long division which is done below:
[tex] \begin{array}{ccc} \qquad {4x}^{2} + 2x + 1 \\ \hline x - 4 \Bigg)4 {x}^{3} - {14x}^{2} - 7x - 4 \\ - {4x}^{3} + 16 {x}^{2} \\ \hline \qquad \qquad \qquad {2x}^{2} - 7x - 4 \\ \qquad \qquad- {2x}^{2} + 8x \\ \hline \qquad \qquad \qquad \qquad \qquad x - 4 \\ \qquad \qquad \qquad \qquad \qquad - x + 4 \\ \hline\qquad \qquad \qquad \qquad \qquad0 \end{array}[/tex]
since our remainder is 0 we'll put the answer in P(x) form only
note: please see the answer in the brainly app for a better view
anyone know the answer?
Answer:
26.97
find side km using cos,after you find km you can then use tan to find the angle
hope this helps
simplify.
[tex] {y }^{ - 3} [/tex]
Options:
3/y
-1/y^3
-3y
1/y^3
Answer:
Rewrite the expression using the negative exponent rule [text]{b}^{-n } = 1/bn
Step-by-step explanation:
1/y^3
pleasee help asapp:)
They gave you the length of the two sides of the triangular part. Calculate the circumference of the semi circle on top.
Circumference of a semi circle is 1/2 x 2 x radius x PI
The radius is given as 3 ft.
Circumference = 1/2 x 2 x 3 x 3.14 = 9.42ft
Perimeter is the length of the circumference of the semi circle plus the side lengths of the triangle:
5 + 5 + 9.42 = 19.42 feet
Answer: 19.42 feet
Answer:
10 + 3[tex]\pi[/tex]
19.42
Step-by-step explanation: