-16=16x2 how many solutions does this equation have?
There are a two solutions of the given quadratic equation.
According to the statement
We have to find that the number of solutions of the equation.
So, For this purpose, we know that the
Quadratic equation is any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power
From the given information:
The given equation is a:
-16=16x^2
It becomes
16x^2 = -16
Then solve it with the help of the rearrange the terms
x^2 = -16/16
x^2 = -1
x = (-1)^1/2
x = +i , -i
There is a two solutions of the quadratic equation.
So, There are a two solutions of the given quadratic equation.
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determine whether the conclusion follows from the given statements by the law of detachment or the law of syllogism. given: if you go camping, then you will need a flashlight. given:if you need a flashlight, then you will need extra batteries. conclusion: if you go camping you will need extra batteries
The statement can be proved by the law of syllogism.
A formal logical framework used to infer a conclusion from a series of premises is referred to as a syllogism, also known as a rule of inference.
The law of syllogism in conditional statement is given as:
if p then r and if r then q , then we can state that if p then q , where p , q, and r are statements.
Now in the given conditional statements we can write it as:
let p = You go camping
r = you will need a flashlight
q = you will need extra batteries.
Now it is given the if p then r and again if r then q , so by using the law of syllogism we can state that if p then q , that is
If you camping you will need extra batteries.
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The conclusion follows from the law of syllogism .
Law of Syllogism : The Law of Syllogism allows to squeeze together the conditional statements and draw a conclusion .
In general ,
If
p → q
q → r
Then , p → r .
In the given case ,
p = if you go camping
q = then you will need a flashlight
r = then you will need extra batteries
Hence , since p → r
if you go camping → then you will need extra batteries .
Therefore , the conclusion follows from the law of syllogism .
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Compare the two numbers. Use > or < .
√63, 7.5
Compare the two numbers √63, 7.5
[tex]\sqrt{63} =7.93[/tex]
So, √63 > 7.5
What is a square root?
A square root is a factor of a number in mathematics that, when multiplied by itself, equals the original value.Square roots can be taken into account more broadly in any situation where the concept of an object's square is specified.Among other mathematical structures, these include function spaces and square matrices.The term square root is sometimes used to refer to the major square root of a positive number, even though it is merely one of the two square roots of that number.To learn more about square roots, refer:
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Help pls I really need if help then thank you you really help
Answer - put the dot on -1
(-2)-(-1) = -1
Rex and Samir participated in a walkathon. Rex walked for 1 2/3 hours, and Samir walked for 3 1/3 hours. complete the comparison. Samir walked _____ times ad many hours as Rex walked.
Answer:
2 times as much
Step-by-step explanation:
1 hour 2/3 = 60 + (2/3) 40 mins = 100 minutes
3 hours 1/3 = (60 ×3 ) + 20 mins = 200 mins
200 is twice as much as 100
Answer:
2
Step-by-step explanation:
just did it on khan acadmey.
Hello I will AWArd Brainlist !!!! Please Help me Its a geometry Math Problem!! Find the value of Sin(A)
Solution -:
By Using Pythagoras theorem-:
We know that,,
(Hypotenuse)²= ( Base )² + ( Perpendicular)²
than,,,, AC²= BC² + AB²
so,,,
[tex]( h) {}^{2} = ({15}^{2} ) + (\ {8}^{2} )[/tex]
[tex]AB = \sqrt{225 + 64} [/tex]
[tex]AB = \sqrt{289} [/tex]
then,,
[tex]AB \: = 17[/tex]
then,,, the value of sin a
[tex] \bold{= \frac{8}{17} }[/tex]
Thus option ( B ) is correct
Evaluate the function.
f(x) = x² + 3x - 7
2
Find f(-5)
Write an equation of the line through each pair of points in slope-intercept form.
(2,-1) and (2,6)
The equation x = 2
is the slope-intercept form of the line passing through the points (2,-1) and (2,6)
It is given that, the line is passing through two points (2, -1) and (2, 6)
The formula to find the equation of a line in two point form is
(y-y1) = [tex]\frac{y2 - y1}{x2 - x1}[/tex](x-x1)
where m = [tex]\frac{y2 - y1}{x2 - x1 }[/tex] is the slope of the line
Slope is the measurement of the level of steepness of the line
We need to find the Two- Point form of the line
Using the above formula we get, where
x1 = 2 , x2 = 2, y1 = -1, y2 = 6
m = [tex]\frac{(6-(-1))}{(2-2)}[/tex]= [tex]\frac{7}{0}[/tex]
The equation of the line = (y-y1) = [tex]\frac{y2 - y1}{x2 - x1}[/tex](x-x1)
[y - (-1)] = [tex]\frac{7}{0}[/tex] (x - 2)
0. [y - (-1)] = 7(x-2)
7x - 14 = 0
x = 2
Hence, x =2 is the slope-intercept form of the line passing through the points (2,-1) and (2,6)
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dentify each segment BD as a(n) altitude, median, or perpendicular bisector.
A triangle's altitude is the perpendicular segment from the triangle's vertex to the opposite side (or the line containing the opposite side).
BD is an altitude here because is it perpendicular to AC.
What is meant by altitude of a triangle?A triangle's altitude is the perpendicular segment from the triangle's vertex to the opposite side (or the line containing the opposite side).
An altitude of a triangle is a line segment through a vertex that is perpendicular to a line containing the base in geometry. The extended base of the altitude is the line that contains the opposite side. The intersection of the extended base and the altitude is known as the altitude's foot.
A triangle's altitude is the perpendicular drawn from the triangle's vertex to the opposite side. The altitude, also known as the triangle's height, forms a right-angle triangle with the base.
BD is an altitude here because is it perpendicular to AC.
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(5x^4)^2 solve this equation
what is the exact distance from (-5, 1) to (3, 0)
Answer:
[tex]\sqrt{17} }[/tex]
Step-by-step explanation:
To find the distance between these points in the Cartesian Plane, apply the distance formula (aka pythagorean theorem).
(x1-x2)^2+(y1-y2)^2= d^2 , where d is distance.
(-5-3)^2+(1-0)^2 -> (-8)^2+(1)^2 ->
16+1 -> 17
Find square root of d^2 to find d, which gives you the exact answer of [tex]\sqrt{17}[/tex].
Find the equation of the axis of symmetry of the following parabola algebraically.
y=-x^2+12x-38
the independent variable is the one that's squared, namely the "x", that means that the parabola is a vertically opening parabola, so its axis of symmetry will simply be the equation of the vertical line that passes through the vertex, hmmm what's its vertex anyway?
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ y=\stackrel{\stackrel{a}{\downarrow }}{-1}x^2\stackrel{\stackrel{b}{\downarrow }}{+12}x\stackrel{\stackrel{c}{\downarrow }}{-38} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]
[tex]\left(-\cfrac{ 12}{2(-1)}~~~~ ,~~~~ -38-\cfrac{ (12)^2}{4(-1)}\right) \implies \left( - \cfrac{ 12 }{ -2 }~~,~~-38 - \cfrac{ 144 }{ -4 } \right) \\\\\\ (6~~,~~-38+36)\implies (\stackrel{x}{6}~~,~~-2)~\hfill \stackrel{\textit{axis of symmetry}}{x=6}[/tex]
Check the picture below.
write each expression in factored form
1. 3m + 9n
Answer: 3(m+3n)
Step-by-step explanation:
3m + 9n=
3*m + 3*3n=3(m+3n)
Mars has volume 1.31 × 1021
m3
whereas
Pluto has volume 4.93 x 1019
m3
How many times bigger is Mars than Pluto?
Main Answer:
Mars is bigger than Pluto by 27 times.
Explanation:
Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.It is also termed as the capacity of the object.Given: Volume of Mars = [tex]1.31[/tex] × [tex]10^{21} m^{3}[/tex]
Volume of Pluto = [tex]4.93[/tex] × [tex]10^{19} m^{3}[/tex]
To find: Determine how many times bigger is Mars than Pluto.
No. of times bigger = [tex]\frac{Volume of Mars}{Volume of Pluto}[/tex]
= [tex]\frac{1.31 * 10^{21} m^{3} }{4.93 * 10^{19}m^{3} }[/tex]
= [tex]\frac{131}{493} * 10^{2}[/tex]
=0.2657 × 100
= 26.57
=27
Final Answer:
Therefore, 27 times bigger is Mars than Pluto.
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Write these numbers in order of size.
Start with the smallest number.
0.6
2
3
65%
0.606
A rental car company charges $71.87 per day to rent a car and $0.09 for every mile driven. Aaliyah wants to rent a car, knowing that: she plans to drive 475 miles. She has at most $320 to spend. Which Inequality can be used to determine d, the maximum number of days Aaliyah can afford to rent for while staying within her budget?
Answer: Yes, she can affort to rent the car.
Step-by-step explanation:
You multiply 0.09 times 475 which equals $42.75. Next you use the remaining amounts that Aaliyah has and divide it by $71.87.
Write a flow proof.
Given: ZX bisects ∠ W Z Y ; XZ bisects ∠Y X W.
Prove: Δ W X Z ≅Δ X Z Y
We can conclude that ΔWXZ ≅ ΔXZY under ASA condition.
What do we mean by the congruency of a triangle?Two triangles are said to be congruent if all three corresponding sides and angles are equal in size.To appear identical, these triangles can be moved, rotated, flipped, and turned.They will coincide if they are moved.Congruence exists when two triangles satisfy the five congruence conditions.They are the side-side-side (SSS), the side-angle-side (SAS), the angle-side-angle (ASA), the angle-angle-side (AAS), and the right angle-hypotenuse-side (RHS).So,
To Prove: ΔWXZ ≅ ΔXZY
ZX = ZX = (Common)∠WZX = ∠YZX = (Equal as ZX bisects ∠WZY)∠ZXW = ∠ZXY = (Equal as XZ bisects ∠WXY)So, ΔWXZ ≅ ΔXZY under ASA consition.
Therefore, ΔWXZ ≅ ΔXZY.
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based on the information in the table, what is Maria’s net worth
Answer
i.d.k anformation in the table and i.d.k maria's worth
Step-by-step explanation:
Divide. State any restrictions on the variables.
7 x / 4 y³ ÷ 21 x³ / 8 y
The restrictions on the variables x and y be
x = 0 ⇒ 2/0 = ∞
y = 0 ⇒ 2/0 = ∞
What is meant by expression?
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure exists as pursues: Expression: (Math Operator, Number/Variable, Math Operator)
How to divide the given expression (7x/4y³) ÷ (21x³/8y)?(7x/4y³) × (8y/21x³) = (2/3x² y³)
What are the restrictions on the variables?
Here, x = 0 ⇒ 2/0 = ∞
Similarly, y = 0 ⇒ 2/0 = ∞
So , x, y ≠ 0
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[ Brainliest + 20 points]
The smallest angle by which a regular 60-sided figure can be rotated to look exactly like the original figure is ___ degrees.
Answer:
first to get a 60 sided figure we know there if 360 degrees in a full rotation so let's simply divide it by 60
360÷60= 60 degrees
70 points!! Please help me check if my answers are correct. Best answer will get brainliest :)
Answer: All answers are correct
Step-by-step explanation: ur really smart congrats
The approximate weights of two animals are 5.36 x 104 lbs. and 6.2 x 104 lbs. Find the total weight of the two animals. Write the final answer in scientific notation with the correct number of significant digits.
12 x 104 lbs.
5.9 x 104 lbs.
1.22 x 105 lbs.
1.2 x 105 lbs.
Help plssss answer fast
The total weight of the two animals is 1.2 x 10^5 lbs
How to determine the total weight of the two animals?The given parameters are
Animal 1 = 5.36 x 104 lbs.
Animal 2 = 6.2 x 104 lbs
Rewrite the parameters properly
Animal 1 = 5.36 x 10^4 lbs.
Animal 2 = 6.2 x 10^4 lbs
The total weight of the two animals is calculated as
Total weight = Animal 1 + Animal 2
This gives
Total weight = 5.36 x 10^4 lbs + 6.2 x 10^4 lbs.
Factor out 10^4 lbs
Total weight = (5.36 + 6.2) x 10^4 lbs.
Evaluate the sum
Total weight = 11.56 x 10^4 lbs.
Rewrite as
Total weight = 1.156 x 10^5 lbs.
Approximate
Total weight = 1.2 x 10^5 lbs.
Hence, the total weight of the two animals is 1.2 x 10^5 lbs
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Ayuda doy muchos puntos muchos
Answer:
$138
Step-by-step explanation:
%15 -> .15
120×.15=18
$120 + $18 = $138
Carolyn needs to figure out the missing properties used to simplify the expression below
The properties used in the the simplification of the expression is:
step 1: Inverse multiplication property
step 2: Commutative property
step 3: Associative property
step 4: Commutative property
step 5: Identity property
Given the expression is:
1 ÷ 2/3 × (₋5) × 3 ÷ (₋1/4)
step 1: 1 × 3/2 × (₋5) × 3 × (₋4)
Inverse multiplication property is applied.
The reciprocal of a particular integer is referred to as the multiplicative inverse. It is employed to make mathematical expressions simpler. The word "inverse" denotes an opposing or opposed action, arrangement, position, or direction. A number becomes 1 when it is multiplied by its multiplicative inverse.
step 2: 1 × (₋4) × 3/2 × (₋5) × 3
Commutative property is applied.
Mathematical addition and multiplication operations are covered under the commutative property. In other words, adding or multiplying two integers does not change the outcome if the order or location of the numbers is changed.
step 3: 1 × [(₋4) × 3/2] × (₋5) × 3
Associative property is applied.
According to the associative feature of multiplication, the outcome of a multiplication problem is unaffected by the arrangement of the numbers in the problem's constituent parts.
step 4: 1 ×[-6] × (₋5) × 3
commutative property is applied.
step 5: (-6) × (₋5) × 3
Identity property is applied.
Multiplying 1 by any number yields the number itself, according to the Multiplicative Identity Property, commonly known as the Identity Property of Multiplication. This is because any time a number is multiplied by 1, it retains its identity and does not change.
Hence we have applied the above mentioned properties of multiplication.
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m jkm = 77 m nkm = 22 and kn bisects lkm find jkl
The measure of the angle JL is 33 degrees
Bisection of anglesA bisection is a line that divides an angle into two equal portion. Using the addition postulate below:
<JKM = <JKL + <LKN + <NKM
If the line KN bisects <LKM then <LKN = <NKM = 22 degrees
Substitute the given parameters
<JKM = <JKL + <LKN + <NKM
77 = <JKL + 22 + 22
77 = <JKL + 44
<JKL = 77 - 44
<JKL = 33 degrees
Hence the measure of the angle JL is 33 degrees
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Solve the system by graphing.
2x+y = -2
3x-y = -8
Use the graphing tool to graph the system.
Click to
enlarge
graph
Answer:
Step-by-step explanation:
x= -2
y=2
Evaluate 81^2/3 then find the square root
Answer:
Below in bold.
Step-by-step explanation:
81^2/3
= 81^2 = 6561
6561^1/3
= ∛(6561)
= 18.72
√18.72
= 4.33 to nearest hundredth.
Solve for x.
A. 8
B. 4.8
C. 4
D. 7.2
How to do 0.86 \ 0.004
Since 0.004 is 4/1000, muiltiply the numerator and denominator by 1000.
That is: (0.86×1000)= 860
(0.004×1000) = 4
860/4= 215
Answer:
215
Step-by-step explanation:
0.86 ÷ 0.004 = 215
If you were to graph the inequality below on a number line
42≤−7x
Would you use an open circle, or a closed circle?
Would your arrow go to the left or the right?
