The value of A is A(1,-15) and the distance between AB is 8 so these are the correct answers.
According to the statement
We have given that the
AB = 8 and B lies at −7, and we have to find the position of the A on the number line.
Let a be a point on number line and b be the second point on number line.
And The distance between two numbers on number line is calculate by subtracting the smaller number from larger number.
Here
AB = 8
B = -7
We have to look at the options one by one.
For A = -1
As A>B
AB = -1-(7) = -1+7 = 6
For A = 1
As A>B so
AB = 1-(-7) = 8
So with A = 1 , AB = 8
This is one of the right answers.
For A=15
As A>B
AB = 15-(-7) = 22
For A=-15
As B>A
AB = -7 -(-15) = 8
As with A=1 and A=-15, the distance between AB is 8 so these are the correct answers.
So, The value of A is A(1,-15) and the distance between AB is 8 so these are the correct answers.
Disclaimer: This question was incomplete. Please find the full content below.
Question:
Suppose A and B are points on the number line. If AB = 8 and B lies at −7, where could A be located?
Select ALL that apply.
A −1
B 1
C 15
D −15
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what time 2 equals 25
Answer:
the answer to "2 times what equals 25?" is 12.5.
Two fishing boats leave the same dock at the same time. One boat heads northeast and is travelling at a speed of 15 km/h while the other is travelling northwest at 18 km/h. After 45 minutes, the boats are 14.0 km apart. Assuming that both boats are travelling in straight paths, what is the angle between their paths to the nearest degree?
Assuming that both boats are travelling in straight paths, the angle that is between their paths to the nearest degrees is =34°
Calculation of angle of triangleA triangle is a type of polygon that has three pointed edges.
A polygon is defined as a closed object that is made up of line segments in a two dimensional plane.
Other examples of polygon include the following:
hexagons, pentagons, and quadrilaterals.The angle between the paths of the boats can be calculated using the formula Cos θ = a/b
Where b = 18km/h
a = 15km/h
Cos θ = 15/18
cos θ = 0.83
Therefore, θ = Cos¹0.83
θ = 33.9
θ = 34°
In conclusion, the angle that is between their paths to the nearest degrees is =34°
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A parabola has a vertex at (0,0). The equation for the directrix of the parabola is x = –4.
In which direction does the parabola open?
up
down
right
left
The direction does the parabola open is right. Option C
What is the equation of a parabola?
It is important to note that the general equation of a parabola is: y = a(x-h)² + k or x = a(y-k)² +h
where
⇒ (h , k) denotes the vertex.
Also, the standard equation of a regular parabola is y² = 4ax.
From the equation given , we have
The vertex of the parabola is at (0, 0)Directrix of the parabola is x = -4We know that when the vertex of the parabola is (0, 0) and the directrix is x = - a, the parabola will have the form;
y² = 4ax
It is important to note that ;
If the x - axis has a positive value, the parabola shifts to the leftif the x- axis has a negative value, the parabola shift to the rightFrom this, we can see that the parabola would open in the right direction
Thus, the direction does the parabola open is right. Option C
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Helpppppp show your work
(-3²)-2(-3-4)-(-1³)
=9-2(-7)+1
=9+14+1
=24
Hope it helps!
Answer: look at the picture
Step-by-step explanation:
Show why x - 3 is a factor of m(x) = x³ x² - 5x - 3.
Answer:
If m(x) = x^3 - x^2 - 5x - 3 then x - 3 is a factor.
Step-by-step explanation:
By the Factor Theorem if (x - a) is a factor of f(x) then f(a) = 0.
m(x) = x^3 - x^2 - 5x - 3
m(3) = 27 - 9 - 15 - 3 = 0
- so x - 3 is a factor
Select the correct answer. what is the completely factored form of this expression? y2 − 12y 32 a. (y 4)(y 8) b. (y − 4)(y − 8) c. (y 18)(y 2) d. (y − 18)(y − 2)
Answer:
b. (y - 4)(y - 8)
Step-by-step explanation:
If X = 2 centimeters, Y = 5 centimeters, and Z = 5 centimeters, what is the area of the object?
Answer: [tex]35 cm^2[/tex]
Step-by-step explanation:
Area of trapezium =
2X = 2 + 2 = 4 cm
2Z = 5 + 5 = 10 cm
Y = 5 cm
[tex]\dfrac{ \left( 4+10 \right) }{ 2 } \times 5[/tex]
|
|--------> 35 [tex]cm^2[/tex]
Find the inequality represented by the graph.
The inequality of the graph is expressed as: y > 1/2x + 2.
How to Find the Inequality of a Graph?The graph given has a broken line and the shaded part is above the boundary line, therefore, we would use the sign, ">" in our inequality. The inequality would be expressed as y > mx + b.
Find the slope (m):
Slope (m) = rise/run = 1 units/2 units
m = 1/2
b = 2 (y-intercepts)
Substitute m = 1/2 and b = 2 into y > mx + b
y > 1/2x + 2.
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Change
3
-
4
to a percent
Answer:
75%
Step-by-step explanation:
3/4 ie 75/100. .........edge
Graph Y equals |x|-5
Answer:
graph C
Step-by-step explanation:
when X= 0
Y ---> -5
so , answer is graph C
Answer:
c
Step-by-step explanation:
the graph of | x | has its vertex at the origin and has shape V
the graph of | x | - 5 is the graph of | x | translated 5 units vertically down.
That is graph c represents | x | - 5
The picture below illustrates a special type of conic section called a circle.
Which of the following offers the best description of how a circle is formed?
W
A. The plane passes through the vertex of a right circular cone.
B. The plane passes through only one nappe of a right circular cone
and is perpendicular to its base.
C. The plane passes through both nappes of a right circular cone and
is perpendicular to its base.
D. The plane passes through only one nappe of a right circular cone
and is parallel to its base.
Answer:
D
Step-by-step explanation:
circles are parallel to the base and therefore only pass through 1 nappe
if the plane weren't parallel, we would make an ellipse
Circle A is shown. Secant W Y intersects tangent Z Y at point Y outside of the circle. Secant W Y intersects circle A at point X. Arc X Z is 105 degrees and arc W Z is 175 degrees.
In the diagram of circle A, what is the measure of ∠XYZ?
35°
70°
75°
140°
Circle A is shown. Secant W Y intersects tangent Z Y at point Y outside of the circle. Secant W Y intersects circle A at point X. Arc X Z is 105 degrees and arc W Z is 175 degrees.
In the diagram of circle A, what is the measure of ∠XYZ?
35°
70°
75°
140°
By applying the theorem of intersecting secants, the measure of angle XYZ is equal to: A. 35°.
How to determine angle <XYZ?By critically observing the geometric shapes shown in the image attached below, we can deduce that they obey the theorem of intersecting secants.
What is the theorem of intersecting secants?The theorem of intersecting secants states that when two (2) lines intersect outside a circle, the measure of the angle formed by these lines is equal to one-half (½) of the difference of the two (2) arcs it intercepts.
By applying the theorem of intersecting secants, angle XYZ will be given by this formula:
<XYZ = ½ × (m<WZ - m<XZ)
Substituting the given parameters into the formula, we have;
<XYZ = ½ × (175 - 105)
<XYZ = ½ × 70
<XYZ = 35°.
By applying the theorem of intersecting secants, we can infer and logically deduce that the measure of angle XYZ is equal to 35°.
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Answer: 35
Step-by-step explanation:
Evaluate the expressions. 32) 12+ 32÷3-6
Answer:
16.66666667
Step-by-step explanation:
=12+10.66666667-6
=22.66666667-6
=16.66666667
if x^2 - 9 = 0 then x can only be equal to 3. true or false
Answer:
False
Step-by-step explanation:
The variable could also be -3, not just 3.
Answer:
False
Step-by-step explanation:
x^2 - 9 = 0
x^2 = 9
x = +- 3
Which unit rate is the lowest price per ounce
Choice a: 10 ounces of chocolate chips for $1.66
Choice b: 20 ounces of chocolate chips for $3.22
1: choice a
2: choice b
3:unit rates are equal
4:Cannot be determined
Answer:
2: choice b
Step-by-step explanation:
a: $1.66 / 10 oz = $0.166/oz
b: $3.22 / 20 oz = $0.161/oz
Answer: 2: choice b
5. On the way to the museum, 50% of the students rode on the first bus.
What fraction of the students rode on the second bus? Show your work
in the space below. Remember to check your solution.
Answer:
1/2
Step-by-step explanation:
Since 50% is half the number of students it means that half of the students took the first bus which leaves the other half to take the 2nd bus
1) Find the domain of the function f(x) = 1 / |x ^2- 4|
2) Find the domain of the function f(x) = 1 / (x^ 2 + 4x + 3)
Answer:
x<-3 or -3<x<-1 or x>-1
Step-by-step explanation:
Domain - The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.
\mathrm{Domain\:of\:}\:\frac{1}{x^2+4x+3}\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<-3\quad \mathrm{or}\quad \:-3<x<-1\quad \mathrm{or}\quad \:x>-1\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-3\right)\cup \left(-3,\:-1\right)\cup \left(-1,\:\infty \:\right)\end{bmatrix}
what is a constant
for example
[tex]y=x^{3} -3x^{2} +Kx+8[/tex] where K is the constant
what does that mean
Answer:
see explanation
Step-by-step explanation:
K is a constant means that K is a fixed numerical value
Please Help me i will give brainlist !Which of the choices below show the pre-image quadrilateral ABCD, rotated 180° about the origin?
Answer:
The first choice.
Step-by-step explanation:
The second choice is a translation and the third choice is a reflection.
The vertices of an isosceles triangle are A(3, 6), B(7, 2), and C4, 3).
What is the equation of the triangle's line of symmetry?
Answer:
[tex]y=x-1[/tex]
Step-by-step explanation:
The line of symmetry of an isosceles triangle is perpendicular to its base.
Given vertices of the isosceles triangle:
A = (3, 6)B = (7, 2)C = (4, 3)By sketching the triangle with the given points, we can see that AB is its base. (See attached graph).
To find the equation for the line of symmetry, first find the slope of the line AB. To do this, use the coordinates of points A and B and the slope formula.
Define the points:
[tex]\textsf{Let }(x_1,y_1)=(7, 2)[/tex][tex]\textsf{Let }(x_2,y_2)=(3, 6)[/tex][tex]\implies \textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{6-2}{3-7}=-1[/tex]
As the line of symmetry is perpendicular to line AB, its slope is the negative reciprocal of the slope of line AB.
Therefore, the slope of the line of symmetry = 1.
The line of symmetry will pass through point C (4, 3).
Therefore, substitute the found slope and the coordinates of point C into the point-slope formula:
[tex]\implies y-y_1=m(x-x_1)[/tex]
[tex]\implies y-3=1(x-4)[/tex]
[tex]\implies y-3=x-4[/tex]
[tex]\implies y=x-1[/tex]
Therefore, the equation of the given isosceles triangle's axis of symmetry is:
[tex]y = x - 1[/tex]
If we graph the points
then we will get AC=CB
That means C is the point from where the axis of symmetry passes
Foot of perpendicular is midpoint of AB
Midpoint of AB
((3+7)/2,(6+2)/2)(10/2,8/2)(5,4)Find equation of C and foot of perpendicular
Slope
m=(4-3)/(5-4)=1Equation
y-3=1(x-4)y-3=x-4y=x-1Olivia Sells 1/8 ton of copper to recycle♻️. The recycler pays $4 per pound. How much money in dollars, does the recycler pays Olivia for her copper?
The total amount the recycler pays Olivia is $1000.
What is the total amount Olivia is paid?The weight of the copper is expressed as a fraction A fraction is a non-integer that is made up of a numerator and a denominator. The numerator is the number above and the denominator is the number below.
There is a need to convert tons to pounds:
1 ton = 2000 pounds
1/8 x 2000 = 250 pounds
The total amount that the recycler pays can be determined by multiplying the total pounds by cost per pound.
Total cost = cost per pound x total pound
250 x $4 = $1000
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Which inequality explains why these three segments cannot be used to construct a triangle? ef fd > de ed ef < df ed ef > df ef fd < de
We have the segments EF, FD, and DE.
Therefore, the correct answer is
ED + EF < DF
EF + FD < DE
What is Triangle Inequality Theorem?
The Triangle Inequality Theorem states that the totality of any side of a triangle must be greater than the measure of the third side in this problem.
We have the segments EF, FD, and DE.
To construct a triangle three inequalities must be met
case 1: EF + FD > DE
case 2: FD + DE > EF
case 3: EF + DE > FD
Therefore, the correct answer is
ED + EF < DF
EF + FD < DE
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Which of the following steps were applied to ABCD to obtain A'B'C'D'?
A. shifted 3 units right and 4 units down
B. shifted 2 units right and 3 units down
C. shifted 3 units
right and 3 units down
D. shifted 2 units right and 4 units down
The answer is B.
To obtain A'B'C'D' from ABCD, we can clearly see that it has been shifted 2 units right and 3 units down.
Find the area of the shaded region if the dimensions of the unshaded region are 18ft x 22ft . use 3.14 for π as necessary.
The area of the shaded region in the given image is: 1,111.84 ft²
How to Find the Area of a Shaded Region?To find the area of the shaded region in the image given, find the areas of the unshaded region, then subtract it from the total area of the whole figure.
Area of the total figure = area of two semicircles + area of the rectangle.
Dimensions of the rectangle is given as, 18ft x 22ft.
Area of the rectangle = 18ft × 22ft = 396 ft²
The diameter of each of the semicircle = 7 + 7 + 18 = 32 ft
The radius of each of the semicircle = 1/2(32) = 16 ft
Area of the two semicircles = 2(1/2 × πr²) = 2(1/2 × 3.14 × 16²)
Area of the two semicircles = 803.84 ft²
Area of the rectangle = 32 × 22 = 704 ft²
The total area = 704 + 803.84
The total area = 1,507.84 ft²
The area of the shaded region = 1,507.84 - 396
The area of the shaded region = 1,111.84 ft²
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Geometry: complete this proof, ASAP!!!
Answer:
1. Given
2. Triangle Interior Angle Sum Theorem
3. Substitution Property of Equality
4. Subtraction Property
5. Definition of Complementary Angles
What step would be necessary if you wished to conduct a poll with a margin of error of zero?
The necessary step would be we would have to get every respondent in the population to participate if you wished to conduct a poll with a margin of error of zero.
What is a poll?An opinion poll, often known as a poll or a survey, is a human research survey of public opinion from a specific sample. Opinion polls are often designed to depict a population's opinions by asking a series of questions and then extrapolating generalities in ratio or within confidence intervals. A pollster is somebody who conducts polls.If we were to conduct a poll with a margin of error of zero, we would need to recruit every responder in the population to participate.As it is given in the description itself, if we were to conduct a poll with a margin of error of zero, we would need to recruit every responder in the population to participate.
Therefore, the necessary step would be we would have to get every respondent in the population to participate if you wished to conduct a poll with a margin of error of zero.
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What would you do if you found two values that were twice as big as the next highest value?
If I discovered two numerical values that were twice as big as the next highest value, I would expunge them because they can affect the final results.
What is a numerical data?A numerical data is also referred to as a quantitative data and it can be defined as a data set that is primarily expressed in numbers only.
This ultimately implies that, a numerical data is a data set consisting of numbers rather than words.
What is an outlier?An outlier can be defined as a numerical value that is either unusually too small or large (big) in comparison with the overall pattern of the numerical values contained in a data set.
Assuming I am counting the number of expert tutors on Brainly and I discovered two numerical values that were twice as big as the next highest value, I would expunge them because they can affect the final results.
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A. 2
B. 1/3
C. 5
D. -3
Answer: 2
Step-by-step explanation:
[tex]y=\frac{1}{3}x^2 +2x+5 \longrightarrow \frac{dy}{dx}=\frac{2}{3}x+2[/tex]
Setting this equal to 0 yields [tex]x=-3[/tex].
When [tex]x=-3[/tex], [tex]y=2[/tex]
Answer:
A. 2Step-by-step explanation:
Given quadratic equation:
y = (1/3)x² + 2x + 5Its leading coefficient is positive, so it has minimum value at vertex.
The x-coordinate of the vertex is:
x = -b/(2a)Substitute the coefficients:
x = - 2/(2*1/3) = - 3Find the value of y at vertex:
y = (1/3)(-3)² + 2(- 3) + 5 = 3 - 6 + 5 = 2The matching answer choice is A.
Can someone help ???????
(01.02 mc)matt is showing his work in simplifying (6.2 − 1.6) − 4.4 7.8. identify any error in his work or reasoning. step 1: (6.2 − 1.6) − 4.4 7.8 step 2: 6.2 (− 1.6 − 4.4) 7.8 (commutative property) step 3: 6.2 − 6 7.8 step 4: −14 − 6 = 8 (commutative property) step 5: 14 − 6 = 8 he wrote commutative instead of distributive in step 4. he wrote commutative instead of distributive in step 2. he wrote commutative instead of associative in step 4. he wrote commutative instead of associative in step 2.
The correct option is (d)
He wrote commutative instead of associative in step 2.
What is the commutative property?According to the commutative property, a mathematical principle, the product of a multiplication does not depend on the order in which the numbers are multiplied.
Commutative property: a+b = b+a
Associative property: (a+b) + = a+(b+c)
Now consider the provided expression.
(6.2 − 1.6) − 4.4 + 7.8
Step 1:
(6.2 − 1.6) − 4.4 + 7.8
Step 2 Use Associative property
6.2 + (−1.6 − 4.4) + 7.8
Step 3: Simplify
6.2 − 6 + 7.8
Step 4: Use commutative property
14 − 6
Step 5: Simplify
14 − 6 = 8
Hence, the wrong step is step 2.
He wrote commutative instead of associative in Step 2.
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I understand that the question you are looking for is:
Matt is showing his work in simplifying (6.2 − 1.6) − 4.4 + 7.8. Identify any error in his work or reasoning. Step 1: (6.2 − 1.6) − 4.4 + 7.8 Step 2: 6.2 + (− 1.6 − 4.4) + 7.8 (commutative property) Step 3: 6.2 − 6 + 7.8 Step 4: −14 − 6 = 8 (commutative property) Step 5: 14 − 6 = 8
(a)-He wrote commutative instead of distributive in Step 4.
(b)-He wrote commutative instead of distributive in Step 2.
(c)-He wrote commutative instead of associative in Step 4.
(d)-He wrote commutative instead of associative in Step 2.
