Finding the slope passing through the points
Question 1
Since the x-coordinates are the same, the line is vertical. Therefore, the slope is undefined.
Question 2
Since the y-coordinates are the same, the line is horizontal. Therefore, the slope is zero.
What is square root of -36 classified as
Answer:
undefined
Step-by-step explanation:
The square root of any negative number is undefined because there is no possible solution. - × - = + and + × + = +
Marlene used the Distributive Property to find the product of 6 and 0.82. Which expression shows the Distributive Property?
The Distributive property on the expression gives a result of 4.9 and the distributed expression is (2 + 4) * 0.82
How to apply the Distributive property on the expression?From the question, we have the following parameters that can be used in our computation:
The expression is given as:
The product of 6 and 0.82
Mathematically, this expression can be represented as
6 * 0.82
To apply the distributive property,
We need to express 6 as the sum of two numbers
So, we have the following representation
6 * 0.82 = (2 + 4) * 0.82
Remove the brackets
6 * 0.82 = 2 * 0.82 + 4 * 0.82
Expand the terms of the expression
6 * 0.82 = 1.64 + 3.28
Evaluate the sum
6 * 0.82 = 4.92
Hence, the solution is 4.9
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What happens when the discriminant equals zero?
Answer: It indicates that the quadratic has a repeated real number solution.
Step-by-step explanation:
HELP I BEG
Which of the following is equivalent to 43x + 17y + 3x?
3x(43x + 17y)
43x + 20xy
43x + 3x + 17y
43x(17y + 3x)
Answer:
43x+3x+17y
Step-by-step explanation:
because 43x+17y+3x=43x+17y+3x
Find the mode of this data set
Answer:
5, 4, 7
Step-by-step explanation:
Barb has a jewelry box in the shape of a rectangular pyramid. The top opens at a cross section parallel to the base
What is the shape of the opening of the jewelry box?
A rhombus
B rectangle
C triangle
D trapezoid
When an integer is subtracted from 8 times the next consecutive even integer, the difference is 86. Find the value of the greater integer.
Step-by-step explanation:
x = the integer number
8×(x + 2) - x = 86
8x + 16 - x = 86
7x = 70
x = 10
x + 2 = 12
the larger integer is 12.
The equation of the line y=2x+3 passes through which of the following points? (1,4)(-1,4)(2,3)(3,2)
Answer:
A
Step-by-step explanation:
Fill in X and Y for each of the equations until you find one that fits
The equation of the line y=2x+3 passes through the (1,4) point only.
The line gave y=2x+3.
In order to check whether the line passes through the points the following steps are:
A) (1,4)
Here x=1 , y=4.
We will put these values in the line y=2x+3.
4= 2(1)+3
4=4
As L.H.S=R.H.S, therefore this point (1,4) passes through the line.
B) (-1,4)
Here x=-1 , y=4.
We will put these values in the line y=2x+3.
4= 2(-1)+3
4= -2+3
4 [tex]\neq[/tex] 1
As L.H.S [tex]\neq[/tex]R.H.S, therefore this point (1,4) does not pass through the line.
C) (2,3)
Here x=2 , y=3.
We will put these values in the line y=2x+3.
3= 2(2)+3
3= 4+3
3 [tex]\neq[/tex] 7
As L.H.S [tex]\neq[/tex]R.H.S, therefore this point (2,3) does not pass through the line.
D) (3,2)
Here x=3 , y=2.
We will put these values in the line y=2x+3.
2= 2(3)+3
2= 6+3
2 [tex]\neq[/tex] 9
As L.H.S [tex]\neq[/tex]R.H.S, therefore this point (3,2) does not pass through the line.
Only (1,4) point passes through the line.
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Carlos finished his English assignment in
1/3 hours Then he completed his chemistry assignment in 3/4
hours. How much more time did Carlos spend on his chemistry assignment?
Answer:
5/12
Step-by-step explanation:
we need to subtract these 2 fractions
3/4-1/3
to start we change so they can have common denominators and both of them can be 12
3x3/4x3-1x4/3x4
9/12-4/12
5/12
hopes this helps please mark brainliest
Kason went to Bella's bakery and ordered 3 mango smoothies, 3 chocolate covered cherries, and 1 peanut butter cookie how much money did he spend ?
chocolate-covered cherry costs $ 0.75 mango smoothies costs $ 4.25 peanut butter cookie costs $ 1.25
Answer:
16.25
Step-by-step explanation:
3 x 0.75(chocolate covered cherries) = 2.25
3 x 4.25(mango smoothie) = 12.75
1 x 1.25( peanut butter cookie)= 1.25
12.75 + 2.25 + 1.25= 16.25
I hope this helps...
Answer:
Kaso spent $16.25 at Bella's bakery
Step-by-step explanation:
Each item costs a certain amount of money. What you have to do is multiply that amount by the number of each item. Then, add the sum.
Kason ordered 3 mango smoothies. Each smoothie costs $4.25. Therefore multiply 3(4.25)=12.75
Next, he ordered 3 chocolate covered cherries. Each cherry costs 0.75. Multiply 3(0.75)=2.25
Finally, Kason ordered 1 peanut butter cookie. Since each cookie costs 1.25, that is the amount he paid for the peanut butter cookie.
Add the 3 numbers together.
12.75+2.25+1.25=16.25
This is the amount of money he spent in total.
What is the reciprocal of ¾?
Group of answer choices
3/1
1/3
3/4
4/3
Answer: 4/3
Step-by-step explanation:
The reciprocal of a/b is b/a.
Si ended the class with an average grade of 80%, after taking the final exam She earned a 48% on the final
Did she pass True or false
Answer: false
Step-by-step explanation:
if the expected grade was 100 but passing was 80 then she couldn't have passes with a 48
angle PKW is 180 degrees if two additional rays were added, call them ray j and ray s respectively. how would you draw the diagram
The angle with 180° is a straight line, and the ray can be drawn in any way.
What is a ray?The definition of ray in maths, that it is a part of a line that has a fixed starting point but no endpoint.
Given that, angle PKW is 180 degrees and two additional rays were added,
The figure has been attached in answer.
We know when an angle measures 180° it makes a straight line and on it, we can draw as many ray as we want and in any way.
Hence, The angle with 180° is a straight line, and the ray can be drawn in any way.
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Factor 100x² 140xy + 49y²
Answer:
100 times square times Y 49 gives= 14000
Which pair of triangles is congruent by the ASA postulate?
In the concept of geometry, the pair of triangles that are congruent by the ASA Congruent Theorem are the pairs that have two corresponding angles and an included side that are congruent to each other.
Congruent:
Congruent refers the identical in shape and size.
Given,
Here we need to find in which pair of triangles is congruent by the ASA postulate.
As per the Angle-Side-Angle Congruent Theorem (ASA) states that when two triangles are considered congruent if they have two corresponding angles that are congruent and an included side that are congruent to each other.
So, this one included side is the side that is lie between the two congruent angles in each of the triangles.
Therefore, the triangle which form the pairs of angles given has two corresponding angles and an included side that are congruent to each other in each triangle.
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The ratio of the measure of the sides of a triangle is 2:3:6, and the perimeter is 187cm. What is the measure of the largest side?
The measure of the largest side of the triangle is 102cm.
What is ratio?Ratio, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.
For example, 2:3:6 shows the ratio of the sides of a triangle. The perimeter which is the addition of the triangle is 187cm.
Therefore the measure of each side will be given as:
2/11×187= 34cm
3/11×187= 51cm
6/11×187= 102cm
This means that the measure of the three sides are 34cm, 52cm, and 102cm.
Therefore the measure of the largest side is 102cm
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What is the graph of the given inequality?
The graph of the inequality is plotted using the below points.
Graph:
In math, graph show you information as a visual image or picture.
Given,
Here we need to find the graph of the given inequality.
To graph an inequality:
To graph the related boundary line. We have to replace the <, >, ≤ or ≥ sign in the inequality with = to find the equation of the boundary line.
Now, we have to identify at least one ordered pair on either side of the boundary line and substitute those (x, y) values into the inequality.
Then shade the region that contains the ordered pairs that make the inequality a true statement.
Here if points on the boundary line are solutions, then use a solid line for drawing the boundary line. This will happen for ≤ or ≥ inequalities.
Where as if points on the boundary line are not solutions, then use a dotted line for the boundary line. This will happen for < or > inequalities.
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Emy has 13 1/4 kilograms of sweet potatoes.She gave away 5 12 kilogramsof corn to her neighbors.how many kilograms of corn than potatoes did she gave away?
Answer:
2 1/4 kg
Step-by-step explanation:
Find x:
X=________________
Assuming [tex]\overline{BC}[/tex] is a diameter, minor arc [tex]AB[/tex] has a measure of [tex]180^{\circ}-108^{\circ}=72^{\circ}[/tex].
Using the inscribed angle theorem, [tex]36=x+3 \implies x=\boxed{33}[/tex].
if x+[tex]\frac{1}{x}[/tex]=[tex]\sqrt{11}\\[/tex], find the value of [tex]x^{3}[/tex]+[tex]\frac{1}{x^{3}}[/tex]
Answer:
[tex]8 \sqrt{11} [/tex]Answer:
[tex]8\sqrt{11}[/tex]
Step-by-step explanation:
Given:
[tex]x+\dfrac{1}{x}=\sqrt{11}[/tex]
Sum of two squares
[tex]\boxed{a^2+b^2=(a+b)^2-2ab}[/tex]
[tex]\textsf{Let}\; a = x[/tex]
[tex]\textsf{Let}\; b = \dfrac{1}{x}[/tex]
Therefore:
[tex]\begin{aligned}x^2+\dfrac{1}{x^2}&=\left(x+\dfrac{1}{x}\right)^2-2x\left(\dfrac{1}{x}\right)\\\\&=\left(\sqrt{11}\right)^2-2\\\\&=11-2\\\\&=9\end{aligned}[/tex]
Sum of two cubes
[tex]\boxed{a^3+b^3=(a+b)(a^2-ab+b^2)}[/tex]
[tex]\textsf{Let}\; a = x[/tex]
[tex]\textsf{Let}\; b = \dfrac{1}{x}[/tex]
Therefore:
[tex]\begin{aligned}x^3+\dfrac{1}{x^3}&=\left(x+\dfrac{1}{x}\right)\left(x^2-x\left(\dfrac{1}{x}\right)+\left(\dfrac{1}{x}\right)^2\right)\\\\ &=\left(x+\dfrac{1}{x}\right)\left(x^2-1+\dfrac{1}{x^2}\right)\\\\&=\left(x+\dfrac{1}{x}\right)\left(x^2+\dfrac{1}{x^2}-1\right)\\\\&=\sqrt{11}\left(9-1\right)\\\\&=8\sqrt{11}\end{aligned}[/tex]
What are the 4 steps in graphing linear inequalities?
Answer:
Separating the variables , using equality symbol , drawing boundary line in XY plane , shading the area are the four steps in graphing linear inequalities
Step-by-step explanation:
What is Linear inequality ?Mathematical expressions known as linear inequalities compare two expressions using the inequality symbol. The expression may be either a numerical or an algebraic expression, or it may be both.
Step 1: Always start by separating the variable y from the left side of the inequality.
Step 2: The equality symbol should be used in place of the inequality symbol
Step 3: Draw the boundary line from step 2 in the XY plane.
Step 4: The last step is to partially or completely shade the border line.
Separating the variables , using equality symbol , drawing boundary line in XY plane , shading the area are the four steps in graphing linear inequalities
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Let A and B be two events. Suppose that P (A) = 0.11 and P (B) = 0.06.
(a) Find P (A or B), given that A and B are mutually exclusive.
(b) Find P (A or B), given that A and B are independent.
Answer:
find p (A or ),given that A and B are independent
Slope = ½; (h, k) = (1, -2) find the slope-point
The linear equation with a slope of 1/2 and that passes through the point (1, -2) is written in point-slope form as:
y = (1/2)*(x - 1) - 2
How to find the equation of the line?For a linear equation with a slope m and a known point (h, k), the slope-point form is written as:
y = m*(x - h) + k
Where y and x are the two variables.
Here we know that the slope is 1/2, and the known point is (1, -2), then the values on the equation above are:
m = 1/2
h = 1
k = -2
Replacing that in the general formula for the linear equation in the slope-point form that is written above, we will get:
y = (1/2)*(x - 1) - 2
That is what we wanted to find.
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Use the discriminant to determine how many and what kind of solutions the quadratic equation 2x^2 - 4x = -2 has.
Please explain how you got the solution.
20 Points! Thanks!
Answer: One Real Solution
We can Identify the coefficients a, b, and c from your equation because as it says, it is in the format of the quadratic equation ( ax^2 + bx + c = 0 )
a=2,b=-4,c=2
Now we can use the discriminant to determine how many solutions this has using the equation b^2 - 4ac
Once we plug in our coefficients:
(-4)^2 - 4 x 2 x 2
Once we simplify, we get 0.
One real solution.
I hope this helps.
In this case, we first need to simplify the given quadratic equation 2x² - 4x = -2, and to do so, we perform the following simplification steps:
For a quadratic equation of the form ax² + bx + c = 0, the discriminant is calculated using the following formula:
Δ = b² - 4ac
In this case, we have that the equation that we must solve is 2x²-4=-2, which implies that the corresponding coefficients are:
a = 2b = -4c = 2By introducing these values into the formula we get:
Δ = b² - 4ac = (-4)² - 4·(2)·(2) = 0
Therefore, the discriminant for the given quadratic equation is Δ=0=0, which is zero, and indicates that the equation 2x²-4=-2 has only one real root.
We can say: It has a Real solution.A rectangular garden measures 27 ft by 38 ft. Surrounding (and bordering) the garden is a path 3 ft wide. Find the area of this path. Be sure to include the correct unit in your answer.
The area of this rectangular walk is 390[tex]ft^{2}[/tex]
What is a rectangle?A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°.
The width of the walk is constant and is 2ft, length of the walk is determined by the part of the rectangular yard.
Area of walk = 3 x 27 +3x27 + 3 x 38 + 3 x 38 which is 390[tex]ft^{2}[/tex]
In conclusion the area of the walk is 390[tex]ft^{2}[/tex]
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Solve the system by substitution. y equals 2 x squared minus 3 x minus 1 y equals x minus 3
Find the coordinates of any points of intersection between the graphs of y = x^2 – 4x + 2 and y = -x^2 – 8x
Answer:
(-1, 7)
Step-by-step explanation:
First, set both equations equal to each other:
(y = x^2 – 4x + 2) = (y = -x^2 – 8x)
x^2 – 4x + 2 = -x^2 – 8x
x^2 + x^2 – 4x + 2 = -x^2 + x^2 – 8x
2x^2 - 4x + 2 = -8x
2x^2 - 4x +8x + 2 = -8x + 8x
2x^2 + 4x + 2 = 0
2(x^2 + 2x + 1) = 0
x^2 + 2x + 1 = 0
x^2 + x + x + 1 = 0
x(x+1) + 1(x+1) = 0
(x+1)(x+1) = 0
x+1=0
x=-1
y = -x^2 – 8x
y = -(-1)^2 – 8(-1) ==> plug in the x-value back into one of the equations
y = -1 – (-8)
y = -1 + 8
y=7
(-1, 7)
What is (-i)6?
O A. -i
OB. i
O C. 1
O D. -1
Answer: C. 1
Step-by-step explanation:
[tex](-i)^6 =(-1)^6 i^6 =(-1)(-1)=1[/tex]
Use the graph or table to find the equation that represents the relationship.
The linear equations that represent the relationships in the question order are;
y = 4·x - 1y = -x + 4[tex]y = \frac{1}{4} \cdot x -1[/tex][tex]y = -x + \frac{1}{4}[/tex]What is a linear equation?A linear equation is an equation of the form; y = m·x + c
The slope of the line is found as follows;
(-5 - (-21))/(-1 - (-5)) = 4
The equation is y - (-5) = 4·(x - (-1)) = 4·x + 4
y = 4·x + 4 - 5 = 4·x - 1
y = 4·x - 1The y-intercept is (0, 4), the x-intercept is (4, 0)
The slope is therefore; (0 - 4)/(4 - 0) = -1
The equation is therefore; y - 0 = -1 × (x - 4) = -x + 4
y = -x + 4The y-intercept is (0, -1), the x-intercept is (4, 0)
The slope is therefore; (0 - (-1))/(4 - 0) = 1/4
The equation is therefore; y - 0 = (1/4) × (x - 4) = x/4 - 4/4 =
y = x/4 - 1The slope of the line is; [tex]\dfrac{-3\frac{3}{4} - \left(-\frac{3}{4}\right) }{4-1} = -1[/tex]
y - (-3/4) = -1 × (x - 1) = -x + 1
y = -x + 1 - (3/4) = -x + 1/4
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