9514 1404 393
Answer:
A. (-√2, 3+(4√2)/3), (√2, 3-(4√2)/3)
Step-by-step explanation:
The tangents are horizontal where the derivative is zero. The derivative of the given function is ...
y' = x² -2
This is zero when ...
0 = x² -2
2 = x²
±√2 = x . . . . x-values where the derivative is zero
__
The corresponding y-values are ...
y = (1/3x² -2)x +3
y = (1/3(2) -2)(±√2) +3 = 3 ∓ (4√2)/3
The turning points are (-√2, 3+(4√2)/3) and (√2, 3-(4√2)/3).
8 + 10 - 2 / 2
Order of operation how to do it
Answer:
17
Step-by-step explanation:
Order of operations are..
Parentheses ()
Exponents 10^2
Multiply *
Division /
Addition +
Subtraction -
8+10-2/2
first you would do -2/2=-1
then your problem is 8+10-1
8+10=18-1=17
HELP Describe the graph for the solution for the following inequality
Answer:
Closed circle going right
Step-by-step explanation:
Find the zeroes of the quadratic polynomial 4x²-4x+1 and verify the relation between its zeroes and coefficients
Answer:
A) zeros are x = ½ or x = ½
B) >> sum of zeros = (-Coefficient of x)/(Coefficient of x²)
>> Product of the zeros = Constant term/Coefficient of x²
Step-by-step explanation:
To find the zeros, we will equate the polynomial to zero.
Thus;
4x² - 4x + 1 = 0
Using quadratic equation, we can find the zeros.
x = [-(-4) ± √((-4)² - (4 × 4 × 1))]/(2 × 4)
x = (4 ± 0)/8
x = 4/8 and x = 4/8
Thus, zeros are x = ½ or x = ½
Now, to find the relationships between its zeroes and coefficients;
Sum of zeroes = ½ + ½ = 1
This is equal to -b/a = -(-4)/4 = 1.
Thus;
sum of zeros = (-Coefficient of x)/(Coefficient of x²)
Product of zeros = ½ × ½ = ¼
c/a = 1/4
This is equal to the product of the zeros.
Thus;
Product of the zeros = Constant term/Coefficient of x²
The dimensions of a lawn shaped like a trapezoid are given in meters. 18 meters, 4 meters, 5 meters, 12 meters. What is the area of the lawn in square meters?
Answer:
the area of the lawn in square meters is 60 meters^2
Step-by-step explanation:
The computation of the area of the lawn in square meters is shown below
= 12 meters × 5 meters
= 60 meters ^2
Here we multiply the two sides so that the area of the lawn could be come
Hence, the area of the lawn in square meters is 60 meters^2
Use the simple interest formula to find the interest earned and the ending balance. I = Prt
1. $48,000 at 3% for 6 years
Answer:
$8,640
Step-by-step explanation:
I = Prt
I = (48000)(0.03)(6)
I = 8640
pls help .............
2. Simplify the expression: 4(8) + 3(x - 6)
Answer:
3x+14
Step-by-step explanation:
4(8)+3(x-6)
=32+3x-18
=3x+14
What relationship do the two segments that are tangent from the same circle to the same point have?
Answer:
The tangent segments whose endpoints are the points of tangency and the fixed point outside the circle are equal. In other words, tangent segments drawn to the same circle from the same point (there are two for every circle) are equal.
Step-by-step explanation:
An isosceles triangle has an angle that measures 90 degrees. Which other angles could be in that isosceles triangle? Choose all that apply. (90), (45), (25), or (80)
Answer:
45°
Step-by-step explanation:
90 + 2(45) = 180
90 + 2(25) ≠ 180
90 + 2(80) ≠ 180
90 + 2(90) ≠ 180
I require assistance if anyone were to answer correctly they get marked brainliest
4x + 8y = -40
if x = -6
4(-6) + 8y = -40
-24 + 8y = -40
8y = -40 + 24
8y = - 16
y = -16/8
y = -2
Answer:
y= -2Step-by-step explanation:
Question:To find value of y
Equation:4x + 8y = -40
Given,x = -6
Solution:=> 4x + 8y = -40
[By putting the value of x = -6 then ]
=> 4×(-6) + 8y = -40
=> -24 + 8y = -40
=> 8y = -40 + 24
=> 8y = -16
[tex] = > y = \frac{ - 16}{8} [/tex]
=> y = -2
Result:Hence, required value of y is -2 (Ans)
Evaluate the expression. 3.14(7)² =
Answer:153.86
Step-by-step explanation:
I don't have much but 25 points and brainliest pls :/
AAA someone help me pls :<
Solve the equation for x.
x² = 25/289
The solution of the equation is x = ?
I appreciate you :')
Answer:
x = −5.5 i think
Step-by-step explanation:
Good Luck!
2.2
Determine the length of the rectangle if the area is 800 cm² and the breadth is 20 cm
Answer:
40 cm
Step-by-step explanation:
The area (A) of a rectangle is calculated as
A = lb ( l is the length and b the breadth )
Here b = 20 and A = 800 , then
l × 20 = 800 ( divide both sides by 20 )
l = 40 cm
need helppp
What shape(s) have congruent diagonals?
** You may have more than one correct
answer!
****
Square
Trapezoid
Rhombus
Rectangle
Kite
Answer:
Step-by-step explanation:
A B
definition of a parallelogram a quadrilateral with both pairs of opposite sides parallel
five properties/theorems for parallelograms opposite sides are parallel, diagonals bisect each other, opposite sides are congruent, opposite angles are congruent, consecutive angles are supplementary
definition of a rectangle a quadrilateral with four right angles
rectangle theorems if a parallelogram is a rectangle, then its diagonals are congruent; if the diagonals of a parallelogram are congruent, then the paralellogram is a rectangle
five properties of a rectangle opposite sides are congruent and parallel; opposite angles are congruent; consecutive angles are supplementary; diagonals are congruent and bisect each other; all four angles are right angles
definition of a rhombus a quadrilateral with four congruent sides
rhombus theroems the diagonals of a rhombus are perpendicular; if the diagonals of a parallelogram are perpendicular, then the paralellogram is a rhombus; each diagonal of a rhombus bisects a pair of opposite angles
properties of a rhombus all parallelogram properties apply; all four sides are congruent; diagonals are perpendicular; the diagonals bisect opposite angles
definition of a square a quadrilateral with four right angles and four congruent sides
properties of a square the properties of a rectangle plus the properties of a rhombus; four right angles; all four sides are congruent
definition of a trapezoid a quadrilateral with exactly one pair of parallel sides
definition of an isosceles trapezoid a trapezoid with the legs congruent
isosceles trapezoid theroems both pairs of base angles are congruent; the diagonals are congruent
trapezoid median theorem the median of a trapezoid is parallel to the bases and its measure is one-half the sum of the measures of the bases, or median=1/2(x+y)
in these quadrilaterals, the diagonals bisect each other paralellogram, rectangle, rhombus, square
in these quadrilaterals, the diagonals are congruent rectangle, square, isosceles trapezoid
in these quadrilaterals, each of the diagonals bisects a pair of opposite angles rhombus, square
in these quadrilaterals, the diagonals are perpendicular rhombus, square
a rhombus is always a... parallelogram
a square is always a... parallelogram, rhombus, and rectangle
a rectangle is always a... parallelogram
a square is never a... trapezoid, because trapezoids only have one pair of parallel sides
a trapezoid is never a... parallelogram, rhombus, rectangle, or square, because trapezoids only have one pair of parallel sides
these quadrilaterals always have all four congruent sides rhombus, square
these quadrilaterals always have all four right angles rectangle, square
these quadrilaterals always have perpendicular diagonals rhombus, square
if you divide a square into four right triangles by drawing its two diagonals, the measure of each of the angles in the triangles that is not a right angle is... 45 degrees
the diagonals of a rhombus... are not always congruent, but they are always perpendicular and they do always bisect each other, and they do always bisect the pairs of opposite angles
the diagonals of a rectangle... are not always perpendicular, but they are always congruent and they always bisect each other
the diagonals of a parallelogram... always bisect each other
Answer:
squares, rectangles, trapeziods (only if isoceles)
Step-by-step explanation:
Squares are rectangles and rectangles always will have diagonals that are congruent. Trapezoids, if isoceles, will have congruent diagonals.
Georgia makes trail mix by mixing fruit
and nuts in a ratio of 3 to 2. If Georgia
mixes in 18 ounces of fruit, how many
Ounces of nuts should she add?
Answer: 12 ounces
Step-by-step explanation:
Let the ounces of fruits that should be added be represented by x.
Based on the information given in the question, this can be represented by:
3/2 = 18/x
Cross multiply
3 × x = 18 × 2
3x = 36
x = 36/3
x = 12
Therefore, 12 ounces of nuts should be added.
in the figure what is the value of x
Option B is the 100% right answer
Answer:
6√2 is your answer
relationship between perpendicular and hypotenuse is given by sin angle
sin45=p/h
sin45=6/x
x=6/sin45=6√2
Find the measure of the angle indicated in bold.*
a. 40 degrees
b. 109 degrees
c. 54 degrees
d. 131 degrees
Answer:
131°
Step-by-step explanation:
the equations represent alternate exterior congruent angles so they are equal.
31x + 7 = 32x + 3
simplify:
4 = x
31(4) + 7 = 131°
Matteo has &400 in his saving account. On average he spends $10 per week on buying apps. Luca has $200 in his savings account. He is saving $15 a week in order to buy a new Playstation. When will matteo and luca have the same amount of money?
Answer: By the 8th week.
Step-by-step explanation:
Let the time that matteo and luca have the same amount of money be represented by x.
The information given in the question can be formed into an equation as:
400 - 10x = 200 + 15x
Collect like terms
400 - 200 = 15x + 10x
200 = 25x
x = 200/25
x = 8
Matteo and Luca will have the same amount of money by the 8th week.
Circle the smaller number: 0.123 0.13. Explain how to use the grids below to support your answer.
Answer: The smallest number is 0.123
Step-by-step explanation:
We want to find the smallest number between:
0.123 and 0.13
To do it, we first need to look at the largest digit of each number and see which one is larger.
In both cases we can see that the largest digit for both numbers is the first digit after the decimal point.
For both numbers this digit is 1, so we can't conclude nothing yet.
Now we need to look at the next digit.
For 0.123, the second digit is 2.
For 0.13 the second digit is 3.
Then the second digit is larger for 0.13, this means that 0.123 is the smallest number.
I can not explain you how to use the grids below because i can not see them in the question.
PLZ HELP I WILL GIVE BRAINIEST TO BEST ANSWERS!!!!
Answer:
Answers are all in pictures.
Let the graph of g be a vertical stretch by a factor of 2, followed by a translation 5 units down of the graph of f(x) = e". Write a rule for g
Answer:
g(x) = 2e - 5
Step-by-step explanation:
f(x) = e
2 f(x) = 2e : vertical stretch by a factor 2
2 f(x) - 5 : transition 5 units down
g(x) = 2 f(x) - 5 = 2e - 5
I need help with the first question pls
Answer:
67.5 feet
Step-by-step explanation:
If 1 inch = 9 feet, and the model is 7.5 inches,
you just need to do 7.5 • 9 = 67.5 feet.
OR
7 • 9 = 63 and 1/2 (or .5) • 9 = 4.5
63 + 4.5 = 67.5
*I'm pretty sure it says 1 inch = 9 feet and I'm also basing this off the fact that your work for question 2 is showing the same ratio of 1 inch = 9 feet
Which of the following expressions also
show the total area of the two rooms?
Choose ALL that apply.
8.3 +8.6
6(3+8)
6.3 + 6.8
8(3+6)
Answer:
6(3+8)
Step-by-step explanation:
6(3+8)= 6×3+6×8=18+48
this is the given value of A
The correct expressions for total area = 6x3 + 6x8 or 6(3+8)
What is rectangle?Rectangles are four-sided polygons with all internal angles equal to 90 degrees. At each corner or vertex, two sides meet at right angles. The rectangle differs from a square in that its opposite sides are equal in length.
In the given figure,
Area of one room = 18 square feet
Area of second room = 48 square feet
Now since we can see that,
the width of both rooms is same,
therefore,
we have 6 as common factor of 18 and 48
As, 18 = 6x3
48 = 6x8
Total are of the given figure = 18 + 48
Since we know that,
Area of rectangle = length x width
Therefore,
area of both rooms = 18 + 48
= 6x3 + 6x8
= 6(3+8)
Hence,
The rooms total area of both rooms = 6x3 + 6x8 or 6(3+8)
Learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ2
what expression best estimates -18 1/4 ÷ 2 2/3
a. 18÷3
b. -18÷3
c. -18÷(-3)
d. 18÷(-3)
Make t the subject of 5(t − g) = 2t + 7
Answer:
[tex]5(t - g) = 2t + 7 \\ 5t - 5g = 2t + 7 \\ 5t - 2t = 7 + 5g \\ 3t = 7 + 5g \\ t = \frac{7 + 5g}{3} [/tex]
4) Ari can swim 2 laps per minute. Which equation represents the number of laps,
n, that Ari travels in m minutes?
a n = 2m
b. m = 2n
c. n = 2 +m
d. n = 2 divided by m
lol, I'm just kinda slow.
Answer:
understandable
Step-by-step explanation:
Dion ran 3.75 kilometers each day to prepare for a race. What was the number of kilometers that Dion ran during 28 days? is this multiply
Answer:
Yes this is multiplication
Answer is: 105km
Step-by-step explanation:
multiply 3.75 by 28 to find the total number he ran
3.75•28= 105km
hope this helps chu <3
What type of correlation exists between the temperature and the number of fruit bars sold? What is the real-world meaning of the slope of the line of best fit for the given scenario? There are approximately more fruit bars sold for every degree(s) the temperature rises
Answer:
There's no figure, but okay! The type of correlation that exists between the temperature and the number of fruit bars sold is a positive correlation.
The real-world meaning of the slope of the line of best fit for the given scenario is that: As the temperature increases, so too does the number of fruit bars sold.
I hope that helps you!! ^-^
Answer:
What type of correlation exists between the temperature and the number of fruit bars sold?
✔ positive
What is the real-world meaning of the slope of the line of best fit for the given scenario?
There are approximately ✔ 2.2 more fruit bars sold for every ✔ 1 degree(s) the temperature rises.
Step-by-step explanation:
got it right in edg 2021, hope this is of help :)
What is the area of a rectangle? Pls help and I will mark brainliest!
Answer:
A. 168 units²Step-by-step explanation:
Find the missing side of the rectangle, use Pythagorean:
b² = 25² - 7² = 576b = √576 = 24 unitsFind area of rectangle:
A = abA = 7*24 = 168 units²Correct choice is A