Answers
(see image)
bottom right image
Explanation:
First try the origin (0,0) to rule out two of the graphs.
3y ≥ x - 9
3(0) ≥ (0) - 9
3 ≥ - 9 yes
3x + y > - 3
3(0) + (0) > - 3
3 > - 3 yes
so the origin should be in the shaded area of the graph, which rules out the top right and bottom left graphs.
Now try a coordinate that is in the shaded area of one of the remaining graphs, but not in the other one. If it works, the graph is the one that has that point in the shaded region, and vice versa.
Try point (4, 2)
3y ≥ x - 9
3(2) ≥ (4) - 9
6 ≥ - 5 yes
3x + y > - 3
3(4) + (2) > - 3
12 + 2 > - 3
14 > - 3 yes
So the graph is the bottom right one since (4, 2) is included in that shaded region.
Related Questions
Which equation can be used to solve for b?
A) tan(30°) = 5/b
B) tan(30°) = b/5
C) tan(30°) = 10/b
D) tan(30°) = b/10
Answers
tan(x) = opposite / adjacent
the hypotenuse is the longest side of 10, so C and D are not correct.
Side b is adjacent to the 30° angle
Side 5 is opposite of the 30° angle
tan(30) = 5/b
In this exercise we want to calculate the value of angle B, so we have to:
Letter A
So knowing the tangent formula as:
[tex]tan(x) = opposite / adjacent[/tex]
Knowing some information given in the exercise such as:
the hypotenuse is the longest side of 10Side b is adjacent to the 30° angleSide 5 is opposite of the 30° angleSo we have:
[tex]tan(30)=5/b[/tex]
See more about triangles at brainly.com/question/25813512
Which linear system of equations does the matrix represent?
-3 5 | 15
2 3 | -10
Answers
-3x + 5y = 15
2x + 3y = -10
The matrix represents the system of linear equations: -3x + 5y = 15 and 2x + 3y = -10.
Explanation:The matrix represents the system of linear equations. Each row corresponds to an equation and each column to a coefficient of the unknowns. So, the given matrix:
-3 5 | 15
2 3 | -10
Represents the system of linear equations:
-3x + 5y = 15
2x + 3y = -10
Where x and y are the unknown variables that we are trying to solve for.
Learn more about System of Linear Equations here:https://brainly.com/question/20379472
#SPJ2
how many times must 24 be added until the sum is 1500
Answers
60 times must 24 be added until the sum is 1500
Use a quadratic equation to find two real numbers that satisfies the situation. The sum of the two numbers is 2, and their product is –48.
Answers
To find two real numbers whose sum is 2 and product is -48, we form a quadratic equation x^2 - 2x - 48 = 0. Using the quadratic formula, we get two pairs of numbers (8, -6) and (-6, 8) that satisfy the given conditions.
Explanation:To find two real numbers that satisfy the given conditions, namely their sum being 2 and their product being –48, we can set up a system of equations or use a . Let's denote the two numbers as x and y. We know:
x + y = 2xy = -48We can express y in terms of x from the first equation: y = 2 - x. Substituting this into the second equation gives us:
x(2 - x) = -48
This simplifies to a quadratic equation:
x^2 - 2x - 48 = 0
Using the, x = (-b ± √(b^2 - 4ac)) / (2a), with a = 1, b = -2, and c = -48, we find the two possible values for x, which in turn gives us the corresponding values for y:
x = (2 ± √(4 + 192)) / 2
x = (2 ± √196) / 2
x = (2 ± 14) / 2
Therefore, the two solutions are x = 8 or x = -6. Since we were looking for two numbers, using x + y = 2, the corresponding y values are y = -6 and y = 8, respectively. Hence, the two pairs of numbers that satisfy the conditions are (8, -6) and (-6, 8).
Kim was walking down a rocky path for 4 minutes the election dropped steadily altogether it dropped 8 feet what was the chance in elevation per minute for the 4 minutes?
Answers
in 4 minutes it changed 8 feet
so 8/4 =2 feet per minute change
and since it dropped it would be a negative change so -2 feet per minute
Naomi has 50 red and white beads.the number of red beads is 1 more than 6 times the number of white beads. how many red beads does naomi have
Answers
Prove the Converse of the Pythagorean Theorem using similar triangles. The Converse of the Pythagorean Theorem states that when the sum of the squares of the lengths of the legs of the triangle equals the squared length of the hypotenuse, the triangle is a right triangle. Be sure to create and name the appropriate geometric figures.
Answers
By angle similarity of triangles we know that if we have three triangles △ADB △ABC △BDC triangles are similar then the sides of the triangles are proportional. AD:AB=AB:AC=AC::BC= BC:DC
AD/AB=AB/AC AC/BC=BC/DC
Now we cross multiply
AD*AC=AB*ABAC*DC=BC*BC
This is the same as
AD*AC=AB2AC*DC=BC2
AD*AC+AC*DC=AB2+BC2
Distributive property
AC(AD+DC)=AB2+BC2
But by construction
AD+DC=AC
Substituting
AC*AC=AB2+BC2
So we have
AB2+BC2=AC2
This proves that the sum of the squares of the lengths of the legs of the triangle equals the squared length of the hypotenuse.
Answer:
To prove the Converse of Pythagorean Theorem:
Step-by-step explanation:
1. Draw a right triangle (Triangle ABC)
2. Draw an altitude from and A to the hypotenuse creating 2 new triangles
3. The part that intersects the hypotenuse will be point D, this makes a right angle
Triangle DBA and triangle ABC both have right angles and share angle B, this means that triangle ABC and triangle DBA are congruent by the AA postulate. Since triangle DAC and triangle ABC both have right angles(angle D and angle A) and they share angle C, triangle DAC and ABC are congruent by the AA postulate as well.
The ratios can be set up as:
AC/BC = DC/AC & AB/BC = DB/BA
Once cross multiplied, the result should be:
(AC)² = (BC)(DC) & (AB)² = (BC)(DB)
Now add both sides together to get:
(AC)² + (AB)² = BC(DC) + (BC)(DB)
To make things easier, factor out the like terms:
(AC)² + (AB)² = BC(DC + DB)
When looking at the triangle(must draw to see), it shows that (DC + DB) is actually side BC. This leaves:
(AC)² + (AB)² = BC(BC) → (AC)² + (AB)² = (BC)²
The Pythagorean theorem says that a² + b² = c². Knowing this, on the original triangle, side AB = a, side AC = b, and side BC = c. Knowing this:
(AC)² + (AB)² = (BC)² → a² + b² = c²
This proves the Converse of the Pythagorean Theorem.
PLEASE HELP 30 POINTS!!!!!!
Answers
3x + 6 = 4x - 2
6 (+2) = 4x (-3x)
8 = x
plug in x to both of the expressions
3(8) + 6 = 24 + 6 = 30
4(8) - 2 = 32 - 2 = 30
True
x = 8
hope this helps
B is wrong, because you do not set them equal to 180 ( you set them equal to each other). Next, it is wrong, because they messed up the end too.
hope this helps
_______________________________
By examining the image attached, we notice that:
_______________________________________________
The 2 (two) particular angles with the following measurements:
_________________________________________________
1) 4x - 2 ; and:
2) 3x + 6 ;
_________________________________________________
are equal; since they are "alternate interior angles" ; since the 2 (two) horizontal lines in the figure are parallel; and since alternate interior angles are equal in measurement.
___________________________________________
The question asks to solve for "x" ;
As such:
4x - 2 = 3x + 6 ;
Solve for "x" ;
Subtract "3" from each side of the equation ; & add "2" to each side of the equation ;
4x - 2 = 3x + 6 ;
-3x +2 = -3x + 2 ;
_________________________
1x = 8 ;
_________________________
→ x = 8 .
____________________________________
Now, we can check our answer:
____________________________________
" 4x - 2 = 3x + 6 " ;
→ Plug in "8" for "x" ; to see if both sides of the equation are equal ;
4(8) - 2 =? 3(8) + 6 ??
→ 32 - 2 =? 24 + 6 ??
→ 30 = ? 30 ? Yes!
____________________________________________________
1. simplify
9 x 5 + 2 / 8 - 3
by the way " / " means division.
Answers
Suppose you have 48 feet of fencing to enclose a rectangular dog pen. The function : A = 24x-x^2 , where x = width , gives you the area of the dog pen in square feet. What width gives you the maximum area? What is the maximum area ?
PLEASE HELP ASAP!! *if you can give explanation/work it would be great* if not that is okay ..
Answers
and this one is not exception, so where's the vertex? what's A or the y-coordinate when the vertex is reached?, well, let's check.
[tex]\bf A=24x-x^2\implies A=-1x^2+24x+0\\\\ \textit{ vertex of a vertical parabola, using coefficients}\\\\ \begin{array}{lccclll} A = &{{ -1}}x^2&{{ +24}}x&{{ +0}}\\ &\uparrow &\uparrow &\uparrow \\ &a&b&c \end{array}\qquad \left(-\cfrac{{{ b}}}{2{{ a}}}\quad ,\quad {{ c}}-\cfrac{{{ b}}^2}{4{{ a}}}\right) \\\\\\ \left(-\cfrac{24}{2(-1)}~~,~~0-\cfrac{24^2}{4(-1)} \right)\implies \left(12~~,~~ 0+\cfrac{576}{4} \right) \\\\\\ \left(\stackrel{width}{12}~~,~~\stackrel{Area}{144} \right)[/tex]
so, that's the vertex, and when the width is that much, the Area reaches a maximum of that much.
The width that gives the maximum area of the rectangular pen is 12 feet, and the maximum area is 144 square feet.
Explanation:To maximize the area of a rectangle with a fixed perimeter, you want to make the rectangle as close to a square as possible. This maximizes the area because it distributes the available fencing evenly among the sides, optimizing the area enclosed. The given function, A = 24x - x^2, represents the area of a rectangle with width 'x' and length 'L' where L = (48-2x) / 2.
Maximization or minimization of a function occurs at its turning point. For a quadratic function like ours, the maximum or minimum happens at the vertex. The x-coordinate of the vertex is given by -b/2a. So, in our function A = -x^2 + 24x (which is the same as 24x - x^2), a = -1, b = 24.
Substitution gives: x = -(24) / 2*(-1) = 12 feet. Therefore, the width that gives you the maximum area is 12 feet.
Substitute x = 12 into the function to find the maximum area: A = 24*12 - 12^2 = 288 - 144 = 144 square feet.
Learn more about Maximum Area here:https://brainly.com/question/16213025
#SPJ12
If I set a goal of signing up 30% of customers to receive emails. that means that if I speak to 130 customers today I need to collect email addresses from ?
Answers
^^^^^^^^^
Answer:39
Step-by-step explanation:
130+30%=39
Plz see picture and question attached
Answers
because it is square, meaning the width and height are the same, so therefore the width is also 4. to get the area of a square of rectangle, you times the width by the height. 4 × 4 = 16. so the answer is 16m² because the unit is metre so we write m²
Which equation would represent this problem?
Five added to 3 times a number is equal to 8 less than 5 times the number
Answers
according to the rational root theorem, which is a factor of the polynomial f(x) = 3x^3 - 5x^2 - 12x + 20?
Answers
What is the common difference of the arithmetic sequence 1/5, 6/5 , 11/5 ,16/5 , ...?
Answers
hope this helps
The diagram shows triangle MNP. Which term describes point Q?
Answers
Answer:
(B) Incenter
Step-by-step explanation:
From the given figure, it can be seen that PMN is a triangle where MQ is the angle bisector of ∠NMP, PQ is the angle bisector of∠NPM and NQ is the angle bisector of ∠MNP.
Also, It is equally distant from the three line segments forming the sides of the triangle. Thus, By the definition of incenter, Q can be named as the incedntre of the given triangle PMN.
Since, the centroid, circumcenter and orthocenter does not satisfy the conditions given in the figure, thus Q can not be considered as centroid, circumcenter and orthocenter.
Hence, option B is correct.
Answer:
the answer is incenter
Step-by-step explanation:
took the apex quiz got it correct !
Find the length of the hypotenuse of a right triangle with legs of lengths 12 ft and 16 ft answer
Answers
Answer:
Step-by-step explanation:
but what ab this one: Find the length of the hypotenuse of a right triangle with legs of 5 ft and 12 ft.
A right triangle in which one angle is the right angle and the two sides are perpendicular to each other. Hence, the length of the hypotenuse is [tex]20ft[/tex].
What s the right triangle?
A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle, i.e., in which two sides are perpendicular.
Here, the lengths of the triangle are [tex]12ft[/tex] and [tex]16ft[/tex] .
As we know,
[tex]H^{2}=P^{2}+B^{2}[/tex] ..........[tex](1)[/tex]
Now, substituting the values in the equation [tex](1)[/tex], we get
[tex]H^{2}=(12)^{2}+(16)^{2}\\H^{2}=144+256\\H^{2}=400\\H=\sqrt(400)\\H=20ft[/tex]
Hence, the length of the hypotenuse is [tex]20ft[/tex].
To know more about the right triangle
https://brainly.com/question/2632981
#SPJ2
Find an equation of the line containing the point (3,3) and parallel to y = 2 x − 1 y=2x-1.
Answers
y=2x+b
then substitute x and y
3=2(3) + b
3= 6 + b
b=-3
y=2x-3
Can someone explain to me how to solve these ?
Answers
Tanisha bought 4 bundled packs of comic books. The price of each pack was the same. After she bought the packs, her account balance showed a change of −$86.64. What would have been the change to Tanisha's account balance had she bought only 1 bundled pack of comic books?
A) 21.60
B) -21.60
C) 21.66
D) 21.66
Answers
Find the approximate value of the circumference of a circle with the given radius. Use = 3.14. Round your results to one more decimal than in the given radius. 4 inches C = 12.5 inches 12.6 inches 25.1 inches 25.2 inches
Answers
Answer:
[tex]25.1\ inches[/tex]
Step-by-step explanation:
we know that
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
we have
[tex]r=4\ in[/tex]
substitute
[tex]C=2(3.14)(4)=25.1\ in[/tex] -----> one more decimal than the given radius (nearest tenth)
Crystal estimated that repairs to her car would cost about $100. The cost of repairs was actually $175. Fill in the box with Crystal's percent error
Answers
percent error=100 times error/predicted
error=175-100=75
predicted=100
percent error=100 times 75/100=75
the answer si 75% error
Abigail drives at an average speed of 60 miles per hour for 3 hours. The graph shows her distance versus time. Which statements are true? Check all that apply. As Abigail’s time increases, her distance increases. As Abigail’s time increases, her distance decreases. At 2 hours, Abigail has traveled 120 miles. At 1.5 hours, Abigail has traveled 100 miles. At 3 hours, Abigail has traveled 180 mile
Answers
At 2 hours, Abigail has traveled 120 miles.
At 3 hours, Abigail had traveled 180 miles.
The statements are to be checked whether they are true or not.
The true statements are:
As Abigail’s time increases, her distance increases.
At 2 hours, Abigail has traveled 120 miles.
At 3 hours, Abigail has traveled 180 mile
Abigail is driving at a speed of 60 miles per hour for 3 hours.
The function representing the situation will be
[tex]y=60x[/tex]
where,
[tex]y[/tex] is the distance in miles
[tex]x[/tex] is the time in hours
If time increases this means [tex]x[/tex] increases so, distance [tex]y[/tex] will also increase.
At 2 hours [tex]x=2[/tex]
[tex]y=60\times 2=120[/tex]
The distance traveled is 120 miles.
At 1.5 hours [tex]x=1.5[/tex]
[tex]y=60\times 1.5=90[/tex]
The distance traveled is 90 miles.
At 3 hours [tex]x=3[/tex]
[tex]y=60\times 3=180[/tex]
The distance traveled is 180 miles.
Learn more:
https://brainly.com/question/14238918
https://brainly.com/question/13044921
A number is a multiple of 3 if and only if the number is odd
True or false
Answers
What are the characteristics of a gas?
A. a definite shape but no definite volume
B. no definite shape but a definite volume
C. a definite volume and definite shape
D. no definite shape or definite volume
Answers
Answer:
D
Step-by-step explanation:
If p||q, solve for x.
Answers
So the question says...
Suppose you have ∠SMB and m ∠SMB =125.35 °.
Part A: Determine the angle measure that is complement to ∠SMB, if possible. If ∠SMB does not have a complementary angle, then explain why it does not.
Part B: Determine the angle measure of the supplement of ∠SMB.
Part C: Determine the angle measure of the angle complement to ∠SMB’s supplement.
I’m stuck on this question so if anyone can help me with it that would be greatly appreciated. Thanks!
Answers
Part B. Two angles are supplementary if their sum is equal to 180°. So,
Supplementary angle = 180 - 125.35 = 54.65°
Part C. Complementary angle = 90 - 54.65 = 35.35°
Part A: ∠SMB does not have a complementary angle
Part B: The angle measure of the supplement of ∠SMB is 54.65°
Part C: The angle measure of the angle complement to ∠SMB's supplement is 35.35°
The given angle is ∠SMB and m ∠SMB =125.35 °
For Part AComplementary angles are angles that sum up to 90°.
To determine the angle measure that is complement to ∠SMB, we will find the angles that adds up to ∠SMB to give 90°. Since ∠SMB is already greater than 90°, therefore, ∠SMB does not have a complementary angle.
For Part B.Supplementary angles are angles that sum up to 180°.
To determine the angle measure of the supplement of ∠SMB, we will find the angle that adds up to ∠SMB to give 180°. Let the measure of the angle be x, that is
x + 125.35° = 180°
∴ x = 180° - 125.35°
x = 54.65°
∴ The angle measure of the supplement of ∠SMB is 54.65°
For Part C
To determine the angle measure of the angle complement to ∠SMB's supplement, we will determine the measure of the angle that adds up to ∠SMB's supplement to give 90°. Let the angle be y
Then,
y + 54.65° = 90°
(NOTE: ∠SMB's supplement is 54.65°)
∴ y = 90° - 54.65°
y = 35.35°
∴ The angle measure of the angle complement to ∠SMB's supplement is 35.35°
Hence,
Part A: ∠SMB does not have a complementary angle
Part B: The angle measure of the supplement of ∠SMB is 54.65°
Part C: The angle measure of the angle complement to ∠SMB's supplement is 35.35°
Learn more here: https://brainly.com/question/9143526
If 5 ounces is equal to 140 grams, then 2 pounds of pizza dough is equal to how many grams?
Answers
A bag contains 80 marbles: 40 are red, 20 are blue, and 20 are black. what is the probability of selecting a red or blue marble at random
Answers
20% out of 80 for blue
What’s the answer pleaseeeeeeeee
Answers
y^2 +6^2 = 12^2
y^2 +36 = 144
y^2 = 108
sqrt(108) = 10.392 = 6sqrt(3)
Answer is B 6sqrt(3)