Answer:
Area of a triangle=1/2base x height
1/2x12x4
6x4
24units
Perimeter is the distance round the given figure
9+12+5
26units
Are these relations a function? Yes or no.
{(–1,5), (2, -1),(4,3), (9,-4), (11, 1)}
Function is a set of ordered pairs where there cannot be same x-values or repetitive domain in a set.
For example below below:
{(1,1),(2,3),(3,3),(4,5)}The following relation is a function since there are no same x-values in a set.
{(1,1),(1,2),(2,2),(4,8)}The following relation is not a function since there are same two x-values which is D = {1} or (1,1) and (1,2) both have same domain. Thus, not making the relation a function.
From the question, the relation is a function because in a set of ordered pairs, there aren't any same x-values.
Answer
Yes, the following relation is a function.Solve the following system of equations using all three methods. Must show your work. 4x + y = 2 3x - 3y = 9
Part A: Solve by graphing.
Part B: Solve by substitution.
Part C: Solve by elimination.
Describe the process and steps you used to solve each method.
Answer:
Step-by-step explanation:
you do part a
Equation 1: 4x+y=2
Equation 2: 3x-3y=9
b
Divide equation 2 by 3
x-y=3
add y to both sides
x=3+y
Sbustitute this into equation 1
4(3+y)=2
12+4y+y=2
5y= -10
y= -2
Plug this into equation 1
4x-2=2
x=1
Part c.
Equation 1: 4x+y=2
Equation 2: 3x-3y=9
divide equation 2 by 3
x-y=3
add the two equations
(x-y)+(4x+y)=2+3
5x=5
x=1
Plug this into equation 1
4(1)+y=2
4+y=2
y= -2
For part a just create a table and graph it
expand (y+1)(y-4) !!!!!!
Answer:
Step-by-step explanation:
y^2 - 4y + y - 4
y^2 - 3y - 4
8. The Oklahoma Museum of Natural History claims that on average, a square foot of grass contains 3.1 x 10^3 blades of grass. The soccer field has an area of 1.148 x 10^5 square feet. How many blades of grass are on the entire soccer field?
Answer:
3.5588 x 10⁸
Step-by-step explanation:
(3.1 x 10³) (1.148 x 10⁵) = (3.1 x 1.148) (10³ x 10⁵)
= 3.5588 x 10⁸
9514 1404 393
Answer:
3.6×10^8
Step-by-step explanation:
Your calculator or spreadsheet can multiply these numbers for you and give you the answer in scientific notation.
(3.1×10^3)×(1.148×10^5) = (3.1×1.148)×10^(3+5) = 3.5588×10^8
The supplied numbers have 2 and 4 significant digits, so rounding of the answer to 2 significant digits is appropriate.
about 3.6×10^8 blades of grass are on the entire soccer field
The point (1,−1) satisfies the inequality 40x−22y≤50.
Không thảo mãn vì
44.1-22.(-1)=66
No, the point (1,-1) does not the satisfy the inequality 40x-22y<=50.
What is an inequality?
It is a type of equation in which greater than less than or equal to are used instead of only equal to.
How to solve an inequality?
To check whether whether a point satisfies an inequality or not we need to just put it in the inequality. So,
40x-22y<=50
40(1)-22(-1)=40+22=62
62 is not less than and not equal to 50. So it does not satisfies the inequality.
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Which definition best describes skew lines?
Skew lines are a pair of lines that are non-intersecting, non-parallel, and non-coplanar.
What is Skew lines definition?
Skew lines are a pair of lines that are non-intersecting, non-parallel, and non-coplanar. This implies that skew lines can never intersect and are not parallel to each other. For lines to exist in two dimensions or in the same plane, they can either be intersecting or parallel. As this property does not apply to skew lines, hence, they will always be non-coplanar and exist in three or more dimensions.
Skew Lines Example
In real life, we can have different types of roads such as highways and overpasses in a city. These roads are considered to be on different planes. Lines drawn on such roads will never intersect and are not parallel to each other thus, forming skew lines.
Skew Lines in 3D
Skew lines will always exist in 3D space as these lines are necessarily non-coplanar.
In the figure given below 'a' and 'b' are skew lines.
Therefore, skew lines are a pair of lines that are non-intersecting, non-parallel, and non-coplanar.
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Answer:
O D. Lines that do not intersect and are in the same plane
Step-by-step explanation:
Credit to person above for explaining,
Hope it helps!
Which expression is equivalent to 24 1/3? A. 2 square root 3 B. 2(3 square root 3) C.2 squareroot 6 D 2(3 square root 6) (look at image please)
Answer: Its B
Explanation: took the quiz
[tex]\longrightarrow{\pink{ B. \:2\sqrt[3]{3} }}[/tex]
[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]
[tex]= {24}^{ \frac{1}{3} } [/tex]
[tex] = \sqrt[3]{24} [/tex]
[tex] = \sqrt[3]{2 \times 2 \times 2 \times 3} [/tex]
[tex] = \sqrt[3]{ ({2})^{3} \times 3} [/tex]
[tex] = 2\sqrt[3]{3} [/tex]
[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]
HELP HELP HELP HELP HELP HELP
Answer:
148 Degrees
Step-by-step explanation:
32-180=148
148+32=180
In 1990, the cost of tuition at a large Midwestern university was $95 per credit hour. In 1999, tuition had risen to $221 per credit hour. Determine a linear function C(x) to represent the cost of tuition as a function of x, the number of years since 1990 C(x)= *answer here*
Answer:
The cost of tuition as a function of x, the number of years since 1990, is C(x)= 14*(x-1990) + 95
Step-by-step explanation:
A linear function is a polynomial function of the first degree that has the following form:
y= m*x + b
where
m is the slope of the function n is the ordinate (at the origin) of the functionSo, in this case: C(x)= m*( x-1990) + b where x is the number of years since 1990.
Given the coordinates of two points, it is possible to determine the slope m of the line from them using the following formula:
[tex]m=\frac{y2 - y1}{x2 - x1}[/tex]
In this case, you know that in 1990, the cost of tuition at a large Midwestern university was $95 per credit hour. And in 1999, tuition had risen to $221 per credit hour. So:
x1= 1990y1= 95x2= 1999y2= 221So the value of m is:
[tex]m=\frac{221 - 95}{1999 - 1990}[/tex]
[tex]m=\frac{126}{9}[/tex]
m= 14
So C(x)= 14*( x-1990) + b. In 1999, tuition had risen to $221 per credit hour. Replacing:
221= 14*(1999 - 1990) + b
221= 14*9 +b
221= 126 + b
221 - 126= b
95= b
Finally, the cost of tuition as a function of x, the number of years since 1990, is C(x)= 14*(x-1990) + 95
Determine whether the given triangles are congruent
Answer:
Yes they are congruent and it is explained below
Step-by-step explanation:
There are 5 postulates when testing for congruency and they are;
SSS, SAS, ASA, AAS and HL.
S represents side
A represents angle
H represents hypotenuse
L represents leg
Now, in this our question, we can see that the 3 angles and the three sides of both triangles are equal to each other.
Thus, we can make use of SSS postulate whereby we say the 3 sides of the first triangle are equal to the 3 sides of the second triangle.
Thus, they are congruent.
The sum of the interior angle measures of a convex polygon with n sides is given by the expression 180n–360 . Factor the expression.
Answer: 180(n-2)
You use the distribution rule to factor
The distribution rule is a(b+c) = a*b+a*c
The angle of elevation to a nearby tree from a point on the ground is measured to be 61 ∘ ∘ . How tall is the tree if the point on the ground is 59 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.
Answer:
106.44 ft
Step-by-step explanation:
tan = opp/adj
tan61 = opp/59
59*tan61 = opp
opp = 106.438817561014012
Rounded
106.44 ft
9/10 divided by 3/5 in simplest form
Answer:
3/2
Explanation:
To divide by a fraction multiply by the reciprocal of that fraction
9/10×5/3
reduce the numbers with greatest common factor 3
3/10×5
reduce the numbers with the greatest common factor of 5
3/2 is your answer
The fraction 9/10 divided by 3/5, in simplest form, is 3/2.
To divide fractions, multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of 3/5 is 5/3.
So, we have:
(9/10) ÷ (3/5) = (9/10) x (5/3)
Next, we multiply the numerators and denominators:
= (9 x 5) / (10 x 3)
= 45/30
To simplify the fraction, divide both the numerator and denominator by their greatest common divisor, which is 15:
= (45/15) / (30/15)
= 3/2
Therefore, 9/10 divided by 3/5, in simplest form, is 3/2.
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Solve the following system graphically.
y < - x
y =< x - 2
Upload one solution of the system and your graph
Answer:
a solution of the system is the point that satisfies both the equations
(1, -1) is a solution of the system
evaluate 3|-3|
a. -6
b. 6
c. 9
d. -9
Answer:is that 3i or what?
-
Step-by-step explanation
Answer:
It's answer is d) 9
.........
Ted surveyed the 291 employees at the company who worked in Marketing.
Is this sample of the employees at the company in general likely to be biased?
yes
no
Answer:
Yes it is biased since they are only survey people in marketing not a random sample of people from and group in the company
a cheetah runs at the speed of 2km per minute. How far can it run in 5 minutes? PLEASE I NEED IT RN
Answer:
10 km
Step-by-step explanation:
pls mark me brainliest
what is the total cost for an item that costs $140.00 and has a sales tax rate of 7.5%
Answer:
$150.5
Step-by-step explanation:
CP of an item = $140
sales tax rate = 7.5%
sales tax amount = sales tax rate of CP
=7.5% of CP
= 7.5/100 * $140
=$1050/100
=$10.5
total cost with tax = CP + tax rate
=$140 + $10.5
=$150.5
.........................
Answer:
The literals are; a, b, and c
The constants are; c, and 3
The variables are; x, and y
Step-by-step explanation:
The literals (numbers) are letters which represent numbers in an expression or equation, and to which mathematical operations, including, addition, subtraction, division, and multiplication can be applied
The given equation is a·x² + b·x + c - y + 3 = 0
The literals are;
'a', 'b', and 'c'
The constants are the values that remain the same always in an equation and does not change
The constants are;
'c', and '3'
The variables are the values that vary in relation to one another
The variables are;
'x', and 'y'
Construct a 135° Angle
Now, provide the step - by - step instructions that you devised to create your own construction.
*WILL GIVE BRAINLIEST*
Answer: This would be how I would do it, so the answer might vary from what the teacher wants.
A 135 degree angle is a 90 degree plus 45 degree. So I would first draw a straight line, then divide the line into two 90 degree angles with a perpendicular bisector. Then I would draw a line dividing one of those 90 degree angles into two 45 degree angles. Now I would erase the middle line and now you have a 135 degree angle hint 90 + 45.
Step-by-step explanation:
Answer:
Step-by-step explanation:
90 ° + 45° = 135°
help?- Plot and connect the points A (-4, 4), B (-1, 1), C (-6, 1), and find the length of BC.
A.
4 units
B.
2 units
C.
6 units
D.
5 units
Answer:
BC= 5 units
Step-by-step explanation:
what function is shown in the table
1. A zoo has an Asian elephant that weighs 6 tons. The elephant got sick and lost 1450 pounds. What is the elephants new weight in tons? 2. In a package of balloons, the ratio of purple balloons to green balloons is 3 to 4. What could be the total number of balloons in the package? 3. The ratio of red flowers to yellow flowers in a field is 5 to 7. If there are 392 yellow flowers in the field, how many red flowers are there?
Answer:
1. The new weight of elephant is 5.342 tones.
3. The number of red flowers are 280.
Step-by-step explanation:
1. weight of elephant = 6 tons
weight lost = 1450 pounds
As , 1 pound = 0.000454 ton
So, 1450 pounds = 0.658 ton
The new weight of elephant is
= 6 - 0.658 = 5.342 tones
3.
red flower to the yellow flower is 5 : 7
Number of yellow flowers = 392
Let the red flowers are R.
So,
[tex]\frac {5}{7}=\frac{R}{392}\\\\R = 280[/tex]
A 2km long stretch of road needs to be resurfaced. The width of the road is 8.3m. Model this stretch of road as a rectangle.Work out the area of road that needs to be resurfaced in metre squared. Resurfacing this road costs £30 per square metre What is the total cost to resurface this road?
1 km = 1000 meters
2 km = 2 x 1000 = 2,000 meters
Area = length x width
Area = 2,000 x 8.3 = 16,600 square meters
Cost:
Multiply total area by cost per square meter:
16,600 x 30 = £498,000
What is the slope of the line represented by the equation y = -2/3 - 5x
Answer:
-5
Step-by-step explanation:
equation of a line is y=m*x+b
m is the slope of that line
so for y= -5x -2/3 m would be -5
Answer:
The slope intercept form of a line takes the Form
y= mx + c
where M is the gradient and as you can see... Its the coefficient of "x"
From the equation given
y= -2/3 - 5x
The Slope(gradient) is -5.
OPTION A IS CORRECT✅
NEED HELP PLS!!!
In circle B with \text{m} \angle ADC= 81m∠ADC=81, find the \text{m} \angle ABCm∠ABC.
Please help me the picture is above I’ll mark as brainliest. I really need the answer
A bulb is rated at 330V- 110W. What do you think is its resistance? Three
such bulbs burn for 5hrs at a stretch. What is the energy consumed? Calculate
the cost in rupees if the rate is 1.70 paise per unit?
Answer:
330
Step-by-step explanation:
-$737737373hhhehehwywuuuwu
A 95% confidence interval is (70,110). what is the margin for error? A. 19 B.38 C.20 D.40
Answer:
C.20
Step-by-step explanation:
Confidence interval concepts:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The margin of error is the difference between the two bounds, divided by 2.
In this question:
Lower bound: 70
Upper bounf: 110
Margin of error:
[tex]M = \frac{110 - 70}{2} = \frac{40}{2} = 20[/tex]
Thus the correct answer is given by option C.
Write an equation of the parabola that passes through the point (46, - 150) and has x-intercepts - 4 and 56 . Then find the average rate of change from x= -4 to x=6.
An equation is y =
The average rate of change is
Answer:
6w83ywytahausjsshshfwgwyee