9514 1404 393
Answer:
25°, 65°
Step-by-step explanation:
Essentially, you want two angles that have a sum of 90 degrees and a difference of 40 degrees.
The smaller is half the sum less half the difference: 90/2 -40/2 = 45 -20 = 25.
The larger is half the sum plus half the difference: 90/2 +40/2 = 45 +20 = 65.
Of course, once you know either value, you can add or subtract the difference (as needed) to find the other value.
The two angles are 25° and 65°.
_____
Additional comment
There are many ways you can arrive at this conclusion. Algebraically, we can write ...
a+b = sum
a-b = difference
Adding these two equations gives ...
2a = sum +difference
Multiplying by 1/2, we get ...
a = 1/2sum +1/2difference . . . . . . as described above
Subtracting the difference gives ...
b = a -difference = 1/2sum -1/2difference
help on this please
Answer:
Opening: Opens upwards
Axis of Symmetry: -7/2
Vertex: (-7/2, -81/4)
X - intercepts: (1, 0) and (-8, 0)
Y - intercept: (0, -8)
Step-by-step explanation:
Opening: 'a' is greater than zero
Axis of Symmetry:
[tex]\frac{-7}{2(1)} =\frac{-7}{2}[/tex]
Vertex:
[tex]y= (\frac{-7}{2})^{2} +7(\frac{-7}{2}) -8\\y= (\frac{49}{4}) +(\frac{-49}{2}) -8\\y= \frac{49}{4} +\frac{-98}{4} -8\\y=\frac{-49}{4}-8\\y = \frac{-81}{4}[/tex]
X - intercepts:
(x-1)(x+8)
x = 1 and x = -8
Y - intercept: (0, -8)
[tex]y= 0^{2} +7(0) -8\\\\y= -8\\[/tex]
Layla painted 5/9 of a wall and Tim painted 6/7 of a wall. How much if the wall do they have left to paint?
Answer:
54/63 so 9 of wall to paint left
Step-by-step explanation:
I think its 9 to paint
Identify h (x) = [x] + 4
A. Constant function
B. Greatest integer function
C. Direct Variation function
D. Absolute value function
PLEASE HELP ILL MARK BRIANLIEST
Answer:
C
Step-by-step explanation:
The given function h (x) = [x] + 4 as the greatest integer function which is the correct answer would be option (B).
What is the greatest integer function?The greatest integer function takes the greatest integer that is less than or equal to a specified value. The biggest integer less than or equal to a number x is expressed as ⌊x⌋. It will round off the input number to the nearest integer that is less than or equal to the number itself.
Mathematically, the greatest integer function ⌊x⌋ can be defined as follows:
⌊x⌋ = n, where n ≤ x < n + 1 and 'n' is an integer.
According to the given question,
The function is below as
⇒ h (x) = [x] + 4
Here ⌊x⌋ = 4, where 4 ≤ x < 4 + 1 and '4' is an integer.
The given function as the greatest integer function takes the greatest integer that is less than or equal to a value of 4.
Hence, the correct answer would be an option (B).
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50,000 is 20% of what?
Answer:
250000
Step-by-step explanation:
20% of x is 50000
----------------------------
50000=20x/100
50000= x/5
5(50000) = x
250000 = x
NO LINKS!!!!! Please help me.
Absolute Maximum:
f(-3):
Absolute minimum:
Range:
Domain:
Is the graph a function?:
Relative Maximum(s):
Increasing Interval(s):
Decreasing Interval(s):
Relative minimum(s):
THIS IS NOT MULTIPLE CHOICE!!!
Answers:
Absolute maximum: 4f(-3) = -2Absolute minimum: Does not existRange: [tex](-\infty, 4][/tex]Domain: [tex][-4, \infty)[/tex]Is it a function? YesRelative Maximum(s): 2Increasing Interval(s): [tex](-2, 1)[/tex] ... interval notationDecreasing Interval(s): [tex](-\infty, -2) \ \cup \ (1, \infty)[/tex]Relative Minimum(s): -4=====================================================
Explanations:
The absolute maximum occurs at the highest point. Specifically, it's the largest y output possible. In this case, it's y = 4.
----------------
To determine the value of f(-3), we draw a vertical line through -3 on the x axis. Mark where this vertical line crosses the curve. Let's say its point P. From point P, draw a horizontal line until you reach the y axis. You should arrive at y = -2. Therefore, f(-3) = -2.
----------------
The absolute min is similar to the absolute max, but now we're looking at the lowest y output possible. No such y value exists because the curve goes on forever downward.
----------------
The range is the set of all possible y outputs. The range in compound inequality notation is [tex]-\infty < y \le 4[/tex] indicating y can be anything between negative infinity and 4. We can include 4. The range in interval notation is [tex](-\infty, 4][/tex]. Note the use of the square bracket so that we include the 4.
-----------------
The domain is the set of x inputs possible. The smallest such input allowed is x = -4. There is no largest input because the graph goes on forever to the right. The domain is any x value such that [tex]-4 \le x < \infty[/tex] which condenses to the interval notation [tex][-4, \infty)[/tex]
-----------------
This is a function because we cannot draw a single vertical line through more than one point on this curve; hence, this graph passes the vertical line test.
Put another way, any x input in the domain leads to exactly one and only one y output. This is a nonvisual way to prove we have a function.
-----------------
A relative maximum occurs at any peak or mountain region. It is relatively the highest point in the neighborhood/region of points. There's one such mountain peak and it's at (1,2). We can think of this as a vertex of sorts for an upside down parabola. So the relative max is y = 2 because we're only concerned with the y value.
Note: y = 4 is not a relative max because there aren't any points to the left of that endpoint. A relative extrema must have points to the left and right of it for it to be a valid neighborhood.
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Imagine this curve represents a roller coaster. As we move to the right, going uphill on this curve is an increasing section. That would be the interval from x = -2 to x = 1. So we'd say -2 < x < 1 which condenses to the interval notation (-2, 1). This is not to be confused with ordered pair (x,y) notation.
-----------------
Now we consider when we move downhill when we move to the right. This occurs on the intervals [tex]-\infty < x < -2[/tex] and also [tex]1 < x < \infty[/tex]. We don't include any of the endpoints. This is because at x = -2 and x = 1, the cart is neither moving uphill nor downhill. These locations are stationary resting points so to speak.
Those two inequalities mentioned convert to the interval notations [tex](-\infty, -2)[/tex] and [tex](1, \infty)[/tex] in that order.
Once we determined those separated disjoint regions, we glue them together with the use of the union symbol U.
Our answer for this part would be [tex](-\infty, -2) \ \cup \ (1, \infty)[/tex]. Any point in this collective region will be moving downhill when moving left to right.
-----------------
This is similar to a relative maximum, but this time we're looking at the lowest valley point of a certain neighborhood. This is at (-2,-4). Therefore, the relative min is y = -4.
If the radius of circle C is double the radius of circle D, what can you say is true to the area of circle C?
Answer:quadrupled
Step-by-step explanation:
If the radius of a circle is doubled, the area of the circle will be quadrupled and the circumference will also be doubled. This makes sense because the area of a circle is directly proportional to the square of the radius of the circle (if the radius of a circle is increased x times, its area will be increased to x^2 times the original area), whereas the circumference is proportional to the size of the radius (if the radius of a circle is increased x times, its circumference will increase x times).
Consider the rational function:
f(3) = 22-53-6
22 +31-10
Which values are restrictions on the domain of f(x)?
theres also an answer option of x=5 but it wouldnt fit in the picture
2&3
Step-by-step explanation:
You have to factorise the second equation and you have to solve it. so you have x²-2x-3x+6
x(x-2)-3(x-2)
(x-2)(x-3)=0
Then you have to find x for each equation.
x-2=0
x=2
x-3=0
x=3
So the restricions are 2&3.
A true/false test has 20 questions on it. What is the probability that you get at least 18 right by purely guessing?
Answer:
I would say if your lucky 6/20 but if not 4/10
First convert the equation -x+y=-5 into slope intercept form. Graph the line by plotting the y-intercept first, then another point using the given slope.
Step-by-step explanation:
-x + y = -5
Transform to slope-intercept form, y = mx + b:
-x + x + y = x - 5
y = x - 5 (Slope-intercept form where m = 1, b = -5).
Plot the y-intercept (0, -5) on the graph. Using the "rise over run" of the slope, m = 1, the next point will be: (1, -4).
I also plotted other points (please see the attached screenshot of the graph).
there are 9 acorns in each pile. there are 8 piles. how many acorns are there in all? write an equation that can be used to solve this problem
Answer:
72 acorns.
Step-by-step explanation:
9 (acorns per pile)
*
8 (piles)
Answer:
9x8=72 making the answer 72 acorns in total.
canh square roots be rational numbers ?
You have a square table and want to create a
tablecloth for it using a piece of fabric.
The side length of the table is 72 inches. How
much fabric do you need?
Based on the information given, the length of fabric that's needed will be 288 inches.
From the information given in the question, we are informed that the side length of the table is 72 inches. Therefore, in order to calculate the fabric needed, we have to find the perimeter and this goes thus:
= 72 inches × 4
= 288 inches.
Therefore, the length of fabric that's needed will be 288 inches.
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The cost of a meal is split evenly between Alania and her two friends. They determine that each person owes $14.68. How much was the entire cost of the meal?
Answer:
$44.04
Step-by-step explanation:
let 3 be the number of people and 14.68 the person owes
3*14.68 = 44.04
How many 10-bit strings have weight 1?
How many 10-bit strings have weight 5?
How many 10-bit strings have weight 9?
Answer:
ok so it will be 16-bit
Step-by-step explanation:
Please answer both of them questions please no links or you will be reported
Four people are painting a house
Rishi paints of the house, Monique paints 25% of the house, Haley paints 0.02 of
the house, and Diego paints 0.1 of the house.
1/8 -> 0.125
25% -> 0.25
0.02 -> 0.02
0.1 -> 0.10
least -> greatest
Haley, 0.02 -> Diego, 0.1 -> Rishi, 1/8 -> Monique, 25%
Arranging the persons from least to greatest
Haley < Diego < Rishi < Monique
What is fraction?A number expressed as a quotient, in which a numerator is divided by a denominator.
Given:
Rishi paints = 1/8 = 0.125
Monique paints = 0.250
Haley paints = 0.020
Diego paints = 0.100
Now, arranging the persons from least to greatest
Haley < Diego < Rishi < Monique
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for which values of a, b, and c will Ax+ By=C be a horizontal line through the point (-4,2)
Answer:
A = 0, B = 1 and C = 2
Step-by-step explanation:
The slope of a horizonal line is zero.
y = mx + b Use the slope intercept form with m = 0 and point (-4, 2).
2 = 0(-4) + b Solve for "b"
2 = 0 + b
2 = b
The equation in slope intercept form is y = 0x + 2 ; y = 2.
The equation in standard form: Ax + By = C has the value 0x + y = 2
please help with question.
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The given pair of lines are parallel to one another ~
The solution is in attachment
Answer:
neither
Step-by-step explanation:
help dududidihendhhejrjfjf
Answer:
x = − 8
Step-by-step explanation:
Factor then solve to find the complex solutions.
Carl shades a row in the multiplication table the products in the row are all even the ones digits in the products repeat 0,4,8,2,6 what road does Carl shade?
Answer:
Carl shades the 4s row in the multiplication table.
Step-by-step explanation:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48. This is the pattern 4, 8, 2, 6, 0, 4, 8, 2, 6, etc.
Which word is a synonym of verify?
consent or confirm
Answer:
confirm is the correct answer
Plz mark as Brainliest
Please help please help please help please help
For your question you can try option #3
n divided by 100 equal 0.982
Answer:
98.2
Step-by-step explanation:
100 x 0.982 = 98.2
98.2 / 100 = 0.982
A rectangles has a length 2 ft less than three times its width what is the area of the rectangle when its width is 2 ft
Answer:
8
Step-by-step explanation:
rectangle length is 2-3w
w=2
3 x 2=6 - 2=4
l x w
4 x 2 =8
Our material handlers make $15 per hour, and it takes them about 15 minutes to complete this process. How much is our handling cost?
Answer: $3.75
Step-by-step explanation: $15x15=225/60= 3.75
Our material handling cost is $3.75.
What is cost?A cost function is a mathematical formula used to used to chart how production expenses will change at different output levels.
How to find the cost per process?Material handlers make $15 per hour
If it takes them about 15 minutes to complete this process then process in an hour is 60/15 =4
The cost per process is 15/4 =3.75.
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Please help me with number 8
Answer:
jjejejkwkwkqkkqkqkqkkqkqkq
Need help pleaseee …
Answer:
2.5
Step-by-step explanation:
By Pythagoras theorem,
Hypotenuse = √( 4^2 + 3^2 )
= √( 16 + 9 )
= √25
Hypotenuse = 5
4 / 2 = 5 / x
2 = 5 / x
x = 5 / 2
x = 2.5
1. Given (11,7) and (x,−5), find all x such that the distance between these two points is 13. Separate multiple answers with a comma.
2. Find the standard form of the equation for the circle with the following properties.
Center (8,−7/3) and tangent to the y-axis
9514 1404 393
Answer:
1. x = {6, 16}
2. (x -8)² +(y +7/3)² = 64
Step-by-step explanation:
1. The distance formula is useful for this.
d² = (x2 -x1)² +(y2 -y1)²
13² = (x -11)² +(-5 -7)² . . . . . . . . fill in the given point coordinates
169 -144 = (x -11)² = 25 . . . . . . subtract 144
x -11 = ±5 . . . . . . . . . . . . . . . . . take the square root
x = 11 ±5 = {6, 16} . . . . . . . . . . add 11
The values of x that make the points 13 units apart are 6, 16.
__
2. The standard form equation of a circle is ...
(x -h)² +(y -k)² = r² . . . . . . circle centered at (h, k) with radius r
In order for the circle to be tangent to the y-axis, the radius must be equal to the distance the center is from the y-axis: the x-coordinate of the center point. That is, r = 8.
(x -8)² +(y +7/3)² = 64
Can you answer number 7
Answer:
x= 62
Step-by-step explanation:
brainliest please
jim dog eats 11/3 bones in five days how many bones will the dog eat in 12 days
Answer:
The answer would be 44
Step-by-step explanation:
First, you have to simplify the improper fraction, that would make the it a mixed number which would be 3 2/3. When 3 2/3 is multiplied by 12 is 44. Hope this helps!
