The best answer from the choices provided is a = plus-or-minus 16 . Option C
What is a quadratic equation?A quadratic equation can be defined as an equation that can be rearranged in a standard form
Such that;
x represents an unknown value or variableThe variables, a, b, and c represent known numbersThe variable, a ≠ 0These quadratic equation are also described as polynomial equation having its highest degree as 2.
From the information given, we have that;
3a² - 21 = 27
collect like terms
3a² = 27 + 21
Add the values
3a² = 48
Divide both sides by 3
a² = 48/3
a² = 16
Hence, the value is a² = 16
Learn more about quadratic equation here:
https://brainly.com/question/1214333
#SPJ1
please help with math!!
Answer:
quadratic
Step-by-step explanation:
How many numbers lie between the square of 56 and 57
Answer:
Given, two numbers 56 and 57 we need to find out the numbers lie between the squares of the given numbers.
Now, we have numbers lying between the square of n and (n + 1) is 2n
⇒ Numbers between squares of 56 and (56 + 1) = 2 × 56 = 112
Hence, 112 numbers lies between the square of the given numbers.
112
Step-by-step explanation:Given, two numbers 56 and 57 we need to find out the numbers lie between the squares of the given numbers. Now, we have numbers lying between the square of n and (n + 1) is 2n. ⇒ Numbers between squares of 56 and (56 + 1) = 2 × 56 = 112. Hence, 112 numbers lies between the square of the given numbers.
#CarryOnLearning#BrainliestAnswer#BrainliestWhat is the answer of 2 by 7 and 3 by 5?
The answer of 2/7 + 3/5 is a fraction. The answer is 31/ 35.
To add two fractions, the denominators must be the same, in this case, the denominators are different, so we need to find a common denominator to add these two fractions.
A common denominator for 2/7 and 3/5 is 35.
So we can convert both fractions to have 35 as the denominator,
2/7 becomes (2×5)/(7×5) = 10/35
3/5 becomes (3×7)/(5×7) = 21/35
then we can add the numerators:
10/35 + 21/35 = 31/35
so the final answer is 31/35
This is also the simplest form of this fraction which would be 31/35.
--The question is not clear, answering to the question below--
"What is the answer of 2/7 + 3/5?"
To know more on fraction
https://brainly.com/question/14427715
#SPJ4
In 6-7, explain whether each graph represents a linear function.
Answer:
In order to determine whether a graph represents a linear function, we need to check if the graph is a straight line.
Step-by-step explanation:
In order to determine whether a graph represents a linear function, we need to check if the graph is a straight line. A linear function is defined as a function of the form y = mx + b, where m and b are constants. The graph of a linear function is a straight line with a constant slope, and so any graph that is not a straight line is not a linear function.
Without the actual graph it's hard to say for sure, but based on the provided information, "The graph does not contain the point (20, –8)" indicates that the graph does not pass through this point (20, -8), and it could be indicating that it's not a straight line, So, The graph does not represent a linear function.
Find the number of terms and the degree of this polynomial.
Answer:
Terms = 2
Degree = 10
Step-by-step explanation:
Terms are the values appearing separated by the the mathematical sign. for this question we have 2 terms only.
the degree of a polynomial is usually the largest degree of the individual terms. for our question it's degree 10 since it's the highest.
pls solve the question (i will mark u the brainliest)
Step-by-step explanation:
May be (p³)³ would be the answer!!!
BRAINLY ME PLEASE IF HELPFUL!!!
Bautista is planning a vacation to Los Angeles. He already has $42.50 and saves $25.50 each week. If the trip will cost a total of $654.5, how many weeks will it take for him to save for the trip?
Answer:
24 WEEKS
BECAUSE IF U MULTIPLY 24X25.50 U WILL GET 612 ADD 42.50 AND U WILL GET 654.50
(a) 14 is what percent of 40? (b) 65% of 60 is what number?
Answer: a) 35% b) 39
Step-by-step explanation:
Answer:
A) 35% B) 39
Step-by-step explanation:
do 14÷40=35% and you already know that have of 60 is 30 so you do 40 ÷60 and see if it is close then you go down one to 39÷60=65%
Which of the following digits could replace the in the ten thousands place to make this statement true? 706,103 rounds to 800,000 if we round to the nearest hundred thousand, Choose all answers that apply (A ) 3 В 5 7 8
4th grade
Answer:
numbers 5-9 could replace the ten thousand place to make the statement true.
5, 7, 8
Step-by-step explanation:
Have a nice day!
Select the correct answer.
What is the reaction quotient for the following reaction; AB + 2C?
Q = [B][C], ²
[A].
OA.
OB.
O C. Q=
Q = BIC
[A].
OD. Q=
[A]
[B].[C].2
[A],
[B]. [C].
Slope Sales will be $-159.474 at 0 degrees Celsius, which is nonsensical to understand.
what is slope?A line's steepness is determined by its slope. The "gradient overflow" is a mathematical expression for the gradient (the change in y divided by the change in x). The ratio of the vertical change (rise) between two points to the horizontal change (run) between the same two places is referred to as the slope. The slope-intercept form of an equation is used to represent each time a straight line's equation is stated as y = mx + b. The line's slope is m. b is b at the point where the y-intercept is, and (0, b). As an illustration, the equation y = 3x - 7 has a slope of 3, and its y-intercept is (0, 7).
given information,
Temperature=20 egression equation,
[tex]sales= 442.284\\ Slope=$ 30.0879[/tex]
temperature increases by 1 degree
$30.0879, on average.
[tex]y-intercept= -159.474[/tex]
At 0 degree celsius of temperature, Sales will be [tex]$-159.474[/tex]which is meaningless to interpret.
To know more about slope visit :-
brainly.com/question/3605446
#SPJ1
a wire of radius 6mm and length 400 is melted to sphere.calculate the volume of an irregular solid
Answer:
it's 10 cemetery in a two way too far and far from a lot for
The volume of irregular solid is 45239 mm^3
Given
for cylinder,
radius = 6mm and length = 400 mm
Volume, is defined as the ratio of the mass of object to its density.
since if the cylinder is melted to sphere the volume remains the constant
so.
volume of an irregular solid = volume of cylinder
= πr^2l
= 3.14 x 6^2 x 400
= 45239 mm^3
Thus, the required volume of of irregular solid is 45239 mm^3
Learn more about Volume here:
https://brainly.com/question/1578538
#SPJ2
-x+3y=6 in slope intercept form pls i need to know!!!
Answer:
Below
Step-by-step explanation:
Slope - intercept form is y = mx + b you just need to manipulate the given equation to this form
-x +3y = 6 add 'x' to both sides of the equation
3y = x + 6 divide by 3
y = 1/3 x + 2 Done !
Sabreena is playing a card game, and the odds of her winning after drawing the next card are 5:7. What is the probability of her not winning? Enter your answer as a decimal rounded to the nearest thousandth, like this: 0.423
The probability that Sabreena is going to lose is given as 0.5833
How to solve for the probabilityProbability is a measure of the likelihood of a specific event or outcome occurring. It is typically expressed as a decimal number between 0 and 1, or as a percentage between 0% and 100%.
A probability of 0 indicates that an event is impossible and will never occur, while a probability of 1 indicates that an event is certain and will always occur.
If the odds that Sabreena has of winning in this game is 5: 7, this is written as 5 / 7
In this case, the odds of Sabreena winning are 5:7,
so the probability of winning is 5/(5+7)
the probability of not winning is 1 - 5/12
The probability of not winning is approximately 0.5833
Read more on probability here: https://brainly.com/question/24756209
#SPJ1
Need help asap pleaseeeeeeeeee
Answer:5.7ft
Step-by-step explanation:
sin = opposite/adjacent
sin 35 = x/10
10 * sin 35 = x
x=5.7
What is a polynomial of degree 4 called?
A polynomial of degree 4 is called bi-quadratic polynomial.
Bi-quadratic polynomial
A biquadratic equation is a polynomial equation with degree 4, and it strictly does not consist of any term with degrees 3 and 1.
Polynomial
A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division
Degree of polynomial
The degree of a polynomial is defined as the highest exponent of a monomial within a polynomial. Thus, a polynomial equation having one variable which has the largest exponent is called a degree of the polynomial.
Learn more about polynomial here :-
brainly.com/question/11536910
#SPJ4
PLS HELP I DONT UNDERSTAND THUS PLS EXPLAIN
The equation that will make a system with infinite solutions is the third option.
y = 2x + 6
Which equation will make a system with infinite solutions?
A system of linear equations will have infinite solutions only if the two equations represent the same line.
Here we know that one of the linear equations of the system is:
2y - 4x = 12
If we now divide the whole equation by 2, we will get:
(2y - 4x)/2 = 12/2
y - 2x = 6
Now we can move the "2x" term to the right side, then we will get.
y = 2x + 6
So the equations:
y = 2x + 6
2y - 4x = 12
Represent the same line, then that system will have infinite solutions.
Finally, the correct option is the third one.
Learn more about systems of equations at:
https://brainly.com/question/13729904
#SPJ1
Can some one help me with this question its hard :( down below ill give brainliest
Answer:
A is the answer ...........
Lisa and Jen left home at the same time, only Lisa biked to school at a speed of 10 mph while Jen just walked at a speed of 4 mph.
How far apart are the school and house?
The distance between the school and the house is 1.6 miles.
What is distance?Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.
Let the distance between the school and the house be x miles.
Given that:
Lisa:
Rate = 10mph
Time = t hours
Distance= x
According to distance formula we have:
x = 10 *t [ equation 1]
Jen:
Rate = 4mph
Time = t hours
Distance= x-1 miles
According to the distance formula we have:
x-1 = 4*t [equation 2]
Substitute the value of equation 1 in equation 2 we have:
10t -1 = 4t
6t =1
t = [tex]\frac{1}{6}[/tex]
Now substitute the value of t in equation 1.
[tex]x = 10 * \frac{1}{6}[/tex]
x= 1.6 miles.
Hence the distance between the school and the house is 1.6 miles.
Learn more about distance here:
https://brainly.com/question/15256256
#SPJ4
Help plz no links will mark brainliest if correct!
Answer:
8
Step-by-step explanation:
Because when you add them you get 2m+8/2m
Which is equal to 8/1 or 8
Answer:
8
or
[tex]\frac{2m(m+4)}{(m+1)(m-1)}[/tex]
Depends what the question is asking for...
You are one of 50 people with an entry into a random drawing for a new bicycle.
What is the probability that you will win the drawing?
please please please help!!!
Answer:
a = 35, b = 40, c = 17.5
Step-by-step explanation:
The sum of the 3 arcs on the semicircle above the diameter = 180° , that is
65 + 80 + a = 180
145 + a = 180 ( subtract 145 from both sides )
a = 35
The inscribed angles b and c are half the measures of their intercepted arcs
b = [tex]\frac{1}{2}[/tex] × 80 = 40
c = [tex]\frac{1}{2}[/tex] × 35 = 17.5
What is the relationship between DE and FG ? Select all that apply.
A. parallel
B. perpendicular
C. proportional
D. equal length
Answer:
Step-by-step explanation:
DE and FG are of equal length.
Answer:
The answer is A and D
Step-by-step explanation:
DE and FG are parallel to each other. They don't intersect, touch, or meet each other. Also they are equal length since they both are the same. Perpendicular is when the intersect or crossover each other, which they don't. Proportional is something completely different from this topic. I hope this is helpful!
Evaluate 5 to the second power + 10 divided by 2
Answer:
10
Step-by-step explanation:
5²+10÷2
10+10÷2
20÷2
10
Answer:17.5
Step-by-step explanation:
5^2 is 25
25+10=35
35/2 is 17.5
You need to put equation signs in between the 6. 1 gross = 144
The arithmetical symbols in between these numbers make the total 1 gross will be 6 + 6 - 6 - 6 + 6 / 6.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Place the arithmetic symbol between the 6 times 6 to become one. Then we have
⇒ 6 + 6 - 6 - 6 + 6 / 6
⇒ 1
The arithmetical symbols in between these numbers make the total 1 gross will be 6 + 6 - 6 - 6 + 6 / 6.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ1
In right triangle abc, altitude cd with length h is drawn to its hypotenuse. we also know ad = 12 and db = 3.
The value of h is 6.
Now, According to the question:
In right triangle, ABC
Given data:
AD = 12 and DB = 3
The equivalent ratio of the triangles is:
h : 12 = 3 : h
Express as fractions
[tex]\frac{h}{12} =\frac{3}{h}[/tex]
Cross Multiply:
[tex]h^2[/tex] = 36
Take positive square roots of both sides
h = 6
Hence, the value of h is 6.
Learn more about Right triangle at:
https://brainly.com/question/29285631
#SPJ4
RADIO FRIENDS Polly, Autumn, and Terry each have a two-way radio with a two-mile range. Their houses are located as shown, with Autumn and Polly being two miles apart. Which friends can talk with each other on the radio?
Autumn and Terry can talk because the distance between them is 2 miles
Polly and terry can not talk because the distance between them is 2.27 miles.
Polly and Autumn's distance can talk because the distance between them is 1.56 miles.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Autumn and Terry distance = 2 mile
Polly and Autumn's distance = x miles
Polly and terry's distance = y miles
Now,
Applying the Sin rule of a triangle.
2 / sin 59° = x / sin 42° = y / sin 79°
2 / 0.86 = x / 0.67 = y / 0.98
Find x.
2 / 0.86 = x / 0.67
x = 1.56
Find y.
2/0.86 = y / 0.98
y = 2.27
Now,
Polly and Autumn's distance is 1.56 miles.
This means they can talk.
Polly and terry's distance is 2.27 miles.
This means they can not talk.
Thus,
Polly and Autumn can talk.
Polly and terry can not talk.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ1
[tex]\sqrt{18} +\sqrt{50}[/tex]
Answer:
= 8 (square root of) 2
Step-by-step explanation:
i hope this helps :)
A number time 12 is 72. Which equation fits this statement?
Answer:
D
Step-by-step explanation:
Answer:
D. 12x = 72
Step-by-step explanation:
If 'x' represents the unknown number, then only option D fits this statement.
12x is basically 12 times x, the unknown number.
Hope this helps!
A student writes an incorrect step while checking if the sum of the measures of the two remote interior angles of triangle ABC below is equal to the measure of the exterior angle.
A triangle ABC is shown. The base of the triangle extends into a straight line. The angle formed between this straight line and the edge of the triangle is marked as p. The angle adjacent to p is marked as o, and the other two angles inside the triangle are marked as m and n.
Step 1: m∠m + m∠n + m∠o = 180 degrees (sum of angles of a triangle)
Step 2: m∠p − m∠o = 90 degrees (alternate interior angles)
Step 3: Therefore, m∠m + m∠n + m∠o = m∠o + m∠p
Step 4: So, m∠m + m∠n = m∠p
In which step did the student first make a mistake and how can it be corrected? (4 points)
a
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (corresponding angles)
b
Step 1; it should be m∠m + m∠n + m∠o = 90 degrees (adjacent angles)
c
Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles)
d
Step 2; it should be m∠o + m∠p = 180 degrees (supplementary angles)
Answer:
C. Step 2; it should be m∠o + m∠p = 180 degrees (alternate exterior angles)
Step-by-step explanation:
The student first made a mistake in step 2. In order to check if the sum of the measures of the two remote interior angles of a triangle is equal to the measure of the exterior angle, it is necessary to use the property of alternate exterior angles. Alternate exterior angles are angles that are on opposite sides of the transversal and between the same parallel lines, so they are congruent. The measure of alternate exterior angles is always equal to 180 degree. Therefore, the correct statement in step 2 is that m∠o + m∠p = 180 degrees (alternate exterior angles)
Hope this helps
can someone please help? what is the missing length?