Type the correct answer in the box. Use numerals instead of words.
Consider this expression.
| m^2+n^2 |
When m= -5 and n= 3, the value of the expression is ____.
**I answered 16 and it was wrong**
Answers
The value of the expression | m^2+n^2 | at m = -5 and n = 3 is 34.
Given,
| m^2+n^2 |
We need to find the value of this expression at m = -5 and n = 3.
What is the modulus of x?The modulus of x is given as |x|.
The modulus of a negative x is also positive.
|-x| = x
How do we find an expression at a given point?Example:
x + 2 at x = 1
= 1 + 2
= 3
Find the value of | m^2+n^2 | at m = -5 and n = 3.
| m^2+n^2 |
= | (-5)² + (3)² |
= | 25 + 9 |
= | 34 |
= 34
Thus the value of the expression | m^2+n^2 | at m = -5 and n = 3 is 34.
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Related Questions
the ratio of shorts to pants is 1/2 if there are 8 shorts how many pants are there
A.16
B.4
C.6
D.8
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please help!!! what is the interquartile range?
Answers
What is the value of the digit 6 in 873,261?
What is the value of the digit 6 in 137,2617?
Answers
Answer:
Step-by-step explanation:
60
600
Kristen is creating a rectangular garden in her back yard. The length of the garden is 13 feet. The perimeter of the garden must be at least 54 feet and no more than 82 feet.
Answers
what is the zero turn for the arithmetic sequence 128,96,64,32
Answers
You are falling by [tex]32[/tex],
[tex]128, 128 - 32, 128 - 32\cdot2,\dots[/tex]
In general your sequence is defined as,
[tex]a_n=128-32\cdot n[/tex] where [tex]0\leq n \lt\infty[/tex].
The question is at which [tex]n[/tex] does the value [tex]a_n=0[/tex].
If you divide [tex]128[/tex] with [tex]32[/tex] you get the number of steps needed to stuff [tex]128[/tex] with [tex]32[/tex], [tex]4[/tex].
If you plug in [tex]n=4[/tex], you get [tex]a_4=128-32\cdot4[/tex], since [tex]32\cdot4=128[/tex] you get [tex]a_4=0[/tex].
The zero turn of the arithmetic sequence is thus at [tex]n=4[/tex].
Hope this helps :)
Find a quadratic function that includes the set of values below.
(0,7), (2,17), (3,16)
The equation of the parabola is
Answers
Answer:
f(x) = -3x^2 + 10x + 3
Step-by-step explanation:
(0,3) (2,11)(3,6)
Using the form ax^2 + bx + c = y
From the first set we know that c = 3
Write an equation for the last two sets
x=2; y=11
a(2^2) + b(2) + 3 = 11
4a + 2b = 11 - 3
4a + 2b = 8
simplify divide by 2
2a + b = 4
and
x=3, y=6
9a + 3b + 3 = 6
9a + 3b = 6 - 3
9a + 3b = 3
simplify divide by 3
3a + b = 1
:
Use elimination to find a
3a + b = 1
2a + b = 4
--------------subtracting eliminate b
a = -3
Find b using the equation 2a + b = 4
2(-3) + b = 4
b = 4 + 6
b = 10
:
The equation: f(x) = -3x^2 + 10x + 3
write a clear instructions explaining how to perform the following calculation (125+47-2.5)÷140+37×249
Answers
Answer:
It is 9214.2
Step-by-step explanation:
[tex](125 + 47 - 2.5) \div 140 + 37 \times 249[/tex]
first solve the bracket:
[tex] = (169.5) \div 140 + 37 \times 249[/tex]
form brackets of division and multiplication:
[tex] = (169.5 \div 140) + (37 \times 249)[/tex]
solve the brackets:
[tex] = 1.211 + 9213[/tex]
then add:
[tex] = 9214.211[/tex]
Use the order of operations to evaluate the expression below.
3 + 5 x 5 - 50 ÷ 2 + 3 - 4
Answer here
Answers
Answer:
2
Step-by-step explanation:
=3+5×5-25+3-4
=3+25-25+3-4
=28-22-4
=28-26
=2
Answer:
2
Step-by-step explanation:
3 + 5 * 5 - 50 / 2 + 3 - 4
3 + (5 * 5) - 50 / 2 + 3 - 4 => Multiplication what ever comes first
3 + 25 (-50 / 2) + 3 - 4 => Division left to right
(3 + 25) - 25 +( 3 - 4) => Addition what ever comes first
28 - 25 - 1 => Substraction left to right
2
Leave comment if you're curious.
In a group 40% like football ,70% like cricket and 30% like both games
Answers
Answer:
15% for both games
Step-by-step explanation:
30%÷2=15%
HELP PLS!!
Find the lateral area of the regular pyramid shown in the accompanying diagram. If necessary, express your answer in simplest radical form.
A. 90 units²
B. 540 units²
C. 1080 units²
D. 360+64√3 units²1
Answers
Answer:
B
Step-by-step explanation:
The lateral area of the regular pyramid shown in the diagram is 540 unit². Hence, option B is the right choice.
What is the area?The area of a figure is the two-dimensional space enclosed within the boundary of that figure.
How to solve the question?In the question, we are asked to find the lateral area of the regular pyramid shown.
A regular pyramid is one with all lateral faces the same.
In the given diagram, the pyramid shown has a hexagonal base. So it has 6 equal lateral faces.
Each lateral face is a triangle, with the base as 12 units and height as 15 units.
Thus, the area of one lateral face = (1/2)*12*15 units² = 90 units².
Thus, the total lateral surface area = Lateral surface area of one lateral face*number of lateral faces = 90 units²*6 = 540 units².
Thus, the lateral area of the regular pyramid shown in the diagram is 540 unit². Hence, option B is the right choice.
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6. The unit circle with center at the origin is a relation but not a function.
Find the two functions which are semicircles of the unit circle, and determin
e
their domains and ranges?
b. Are these functions onto functions? Justify.
c. Find the two functions which are lie in one of the semicircle in part a, and
determine their domains and ranges?
d. Are these functions one to one correspondence functions? Justify.
Whi
Answers
Answer:
Step-by-step explanation:
HELP PLSSS IM STARTING SCHOOL AND DODNT FINISH MY HW!!
Answers
Answer:
(2,3.5)
Step-by-step explanation:
B=(1,2)
A=(3,5)
Help please! thank you xoxo!
2 math problems
Answers
3. x = 45
4. 73°
Step-by-step explanation:
3. The sum of the interior angles of a pentagon is 540° so
90° + 112° + 2x + (2x + 10) + 148° = 540°
Simplifying this, we get
4x + 360 = 540 => 4x = 180 or x = 45
4. The sum of the interior angles of a pentagon is 540° which means that the unknown interior angle is 107°. This angle is a supplementary angle to [tex]\angle{A}[/tex] so [tex]\angle{A}[/tex] is
180° - 107° = 73°.
If AB is parallel to DE, then CD is:
Answers
Answer:
4
Step-by-step explanation:
because BC=CD as it is parallel that means all the sides are equal
The value of CD is 20/3.
The correct option is (A).
What is Similarity in Triangles?
Similar triangles are triangles that have the same shape, but their sizes may vary. All equilateral triangles, squares of any side lengths are examples of similar objects. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion.
In ACB and ECD,
angle CAB= angle DEC
angle CBA= angle EDC
angle DCE = angle ACB
By, AA similarity criteria,
ΔACB~ΔECD
Now,
AC/CE= BC/CD
3/5=4/CD
CD= 20/3
Learn more about similarity property here:
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please help will bark brainliest
Answers
Answer:
A.
Step-by-step explanation:
PLEASE HELP ASAP! FAST! Thank you xoxo
Answers
Answers and Step-by-step explanation:
Question 8:
Since angle BCD is opposite angle DAB, this means that they are similar angles as the shape is a parallelogram, and so BCD is 115 degrees, or answer D
Question 3:
We can use process of elimination on this question - The first choice is all squares are rhombuses, which is true. The second question is all rectangles are squares, which is not true, therefore the answer is B
Question 4:
m angle 2 is equal to 106, as it is similar to question 8, and angle 3 is equal to 360 (the total degrees of the shape) - 106 - 106, then divided by 2 and divided by 2 again.
This will equal to angle 3 being 37 degrees, and the answer will be C
Question 5:
We can draw a rectangle from this graph. We can also tell that, in theory, the diagonals are the same, that rules out answer B, and also 5x-5 = x+11
We can then find out x.
+5 on both sides
5x = x+16
-x on both sides
4x = 16
x = 4.
Therefore, each of the sides will be 4+11 = 15, and the answer being C
Which of the following is NOT true about the hypotenuse of a triangle?
A. It is across from the right angle
B. It is always greater than 1
C. IT is always across from the largest angle in the triangle
D. It is the longest side
Answers
Depending on the length of the two sides of the triangle the length could be smaller than 1.
The answer that is not true is :
B. It is always greater than 1
Use the numbers 2, 3, and 4 to provide an example of the Associative Property of Multiplication.
Answers
Answer:
(2x3) x 4= 2 (3x4)
8. Find the sum and difference between the greatest number and the least number of 7-digits number.
Answers
Answer:
sum is 19,999,998 and difference is 0
please brainleist my answer
Answer:
Step-by-step explanation:
The greatest number of 7-digits number is 9,999,999
The least number of 7-digits number........is 1,000,000
Their sum......................................................... is 10,999,999
Their différence ............................................. is 8,999,999
write as an expression :the quantity 10 less than x, divided by 4
Answers
Answer:
(x-10)/4
Step-by-step explanation:
10 less than x means,
x - 10
and the divide by 4.
=> (x-10)/4
Answer:
x-10/4
10 less than x
x-10
divided by 4
/4
10. Name the one example of Analog computer
Answers
Answer:
example of Analog computer=
Operational amplifiers
Answer:
there are many types eg cosmic engine
given the equation 4x + 3y = 18. find the value of y when x = −3
Answers
9514 1404 393
Answer:
y = 10
Step-by-step explanation:
Put -3 where x is and solve for y.
4(-3) +3y = 18
-4 +y = 6 . . . . . . . divide by 3
y = 10 . . . . . . . . . add 4
Anton joined a golf club. He pays an annual membership fee of $895 and greens fee of $30 each time he plays golf. Last year he paid $2,065 as a total golfing fee. How many games did he play? Write and solve the equation.
Answers
So subtract $895 from $2,065, you get $1,170 left.
Now every time Anton plays golf, he pays $30 for greens fee, he will be spending $30 each time he play.
So we would use division here, $1,170 divided by $30, you get 39.
Anton played 39 games last year.
what values of x satisfy the equation 2x^2 -3x +4 =0
Answers
Answer:
(3 ± √23 * i) /4
Step-by-step explanation:
To solve this, we can apply the Quadratic Equation.
In an equation of form ax²+bx+c = 0, we can solve for x by applying the Quadratic Equation, or x = (-b ± √(b²-4ac))/(2a)
Matching up values, a is what's multiplied by x², b is what's multiplied by x, and c is the constant, so a = 2, b = -3, and c = 4
Plugging these values into our equation, we get
x = (-b ± √(b²-4ac))/(2a)
x = (-(-3) ± √(3²-4(2)(4)))/(2(2))
= (3 ± √(9-32))/4
= (3 ± √(-23))/4
= (3 ± √23 * i) /4
-6x-1=35 what is x solve and write the equation
Answers
Answer:
-6
x - 6 is the equation, (unless there was a y, and it pasted wrong)
Step-by-step explanation:
You do additive property of equality by adding 1 to both sides.
-6x - 1 = 35
= -6x - 1 + 1 = 35 + 1
= -6x = 36
Division property of equality by dividing both sides by -6 or 6
= -6/-6x = 36/-6
= 1x = -6
x = -6
A car uses 8 gallons of gasoline to travel 290 miles.Juanita wants to take a trip that is 400 miles. What equation will she need to use to find out how much gas the trip will use?
Answers
Answer:
To find this answer, you would need to find how many miles 1 gallon of gas will take them. To find this, you would do 290÷8=36.25. So with this information, you will be able to find out how much gas it would take to travel 400 miles. You would do 400÷36.25=11.03. 11.03 would be how many gallons of gas is used to travel 400 miles. Hope this helps! :)
Step-by-step explanation:
x/3=y/8=z/5 và 2x+3y-z=50
Answers
x＝6
(x, y, z)＝(6, 16, 10)
Hope my answer helped u :)
The equation of a circle is given below. Identify the center and radius. Then graph the circle.
(x-3)² + y² =9
Answers
Answer:
Center = (3, 0)Radius = 3Graph = see belowConcept:
Here, we need to know the idea of the circle equation.
Circle equation: (x - h)² + (y - k)² = r²
(h, k) = center
r = radius
x = variable
y = variable
Solve:
Given expression
(x - 3)² + y² = 9
Find the point of the center
(h, k) = [tex]\boxed{(3,0)}[/tex]
Find the length of the radius
r² = 9
[tex]\boxed{r=3}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
(x－3)²＋(y－0)²＝3²
The equation can be written in the form (x－p)²＋(y－q)²＝r², so it represents a circle with the radius r＝3 and the center (3, 0)
Hope my answer helped u :)
Which set of ordered pairs does NOT represent a function?
{(8,9), (-2,9), (7,5), (-4, – 7)}
{(-5, -7),(-5,4), (-2,-8),(3,5)}
{(8,0),(-4, -2), (7,1),(0,0)}
{(-8,3), (-5, – 7),(-4,5), (9,3)}
Answers
Answer:
{(-5, -7),(-5,4), (-2,-8),(3,5)}
Step-by-step explanation:
Functions can't use the same x-coordinate twice
Show that 5x^2 + 2x - 3 < 0 can be written in the form | x + 1/5 | < 4/5
if possible with the explanation as well
Answers
Step-by-step explanation:
First let solve the inequality
[tex]5 {x}^{2} + 2x - 3 < 0[/tex]
Factor by grouping
[tex]5 {x}^{2} + 5x - 3x - 3 < 0[/tex]
[tex]5x(x + 1) - 3(x + 1)[/tex]
So the factor are
[tex](5x - 3)(x + 1)[/tex]
So the factor are
[tex]x = \frac{3}{5} [/tex]
and
[tex]x = - 1[/tex]
Solutions to a quadratic can be represented by a absolute value equation because remeber quadratics
creates 2 roots and/or double roots.
The inequality
[tex] |x - b| < c[/tex]
works as
b is the midpoint between 2 roots. And c is the
[tex] |x + b| = c[/tex]
We know that the midpoint between both roots is-1/5.
so
[tex] |x - ( - \frac{1}{5} )| < c[/tex]
[tex] |x + \frac{1}{5} | < c[/tex]
Let use roots 3/5
[tex] | \frac{3}{5} + \frac{1}{5} | = \frac{4}{5} [/tex]
-1 works as well.
[tex] | - 1 + \frac{1}{5} | = | - \frac{4}{5} | = \frac{4}{5} [/tex]
So the absolute value equation is
[tex] |x + \frac{1}{5} | < \frac{4}{5} [/tex]