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We are asked to find the slope of (-4, -7) and (-2, -19).
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Use the slope formula.Here's the slope formula:
[tex]\star~\boxed{\mathrm{\cfrac{y2-y1}{x2-x1}}}[/tex]
Where
y2 and y1 are y-coordinates
x2 and x1 are x-coordinates
Input the values, which are:
-19: y2
-2: x2
-7: y1
-4: x1
[tex]\star~\mathrm{\cfrac{-19-(-7)}{-2-(-4)}}[/tex]
[tex]\star~\mathrm{\cfrac{-19+7}{-2+4}}[/tex]
Simplify!
[tex]\star~\mathrm{\cfrac{-12}{2}}[/tex]
[tex]\star~\mathrm{-6}[/tex]
Hope it helps you out! :D
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If triangle abc and triangle def are similar, then their corresponding sides are proportional. if , then . answer the following questions what is the hypothesis? what is the conclusion? what is the converse? is it true? if the converse is not true, give a counter-example. what is the inverse? is it true? what is the contrapositive? is it true?
The answer to the questions are given below.
What are Similar Triangles ?The triangles which do not have same side length or angles but are similar in appearance are called similar Triangles .
It is given in the question that
If triangle abc and triangle def are similar, then their corresponding sides are proportional.
The hypothesis is
if the triangle abc and def are similar
The conclusion is
that the triangle abc and def are similar and the sides corresponding are proportional.
The converse is
If the sides of two triangles are proportional then two triangles are similar
Yes it is true
Inverse is if the two triangles are not similar then the sides corresponding are not proportional.
Contrapositive statement is if the sides are not proportional then the two triangles are not similar.
Yes , it is true.
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please help... Identify the shape of a cross section of the cone below.
Answer:
The vertical cross-section of a cone is a triangle, and the horizontal cross-section is a circle.
Step-by-step explanation:
n = ut - ½gt2 Find h when u = 100
t=1% & g=6.4
Step-by-step explanation:
h = ut - ½gt²
h = 100 (0.01) – 1/2 × 6.4 × (1/100)²
h = 1 – 1/2 × 6.4 × 0.0001
h = 1 – 0.00032
h = 0.99968 ≈ 0.9
What is the percentage of 0,4(That is a decimal fraction)
Answer:
0.4= 4/10= 2/5
Step-by-step explanation:
The first decimal place after the point represent the place holder "tenth's"
0.4 = 4/10
This can simply to 2/5
Hope it will help:-)
2 over 5
Step-by-step explanation:
0.4=4 over 10 simplify=2over5
What is the value of the underline digit?
119.65
find the value of "w" that makes this quadrilateral a parallelogram.
Answer:
w=7
Step-by-step explanation:
A parallelogram is defined as a four-sided plane rectilinear figure with opposite sides parallel. This means that GH and FE must be equivalent, and HE and GF must be equivalent. Now, we just use those equations to solve.
16w-63=7w
9w-63=0
9w=63
w=7!!!
and we can double check.
16w-81=15w-74
16w=15w+7
w=7
A rope 24m long is dividend into three pieces in the ratio 2:1:5. the length of the shortest piece is
well, let's simply divide the total of 24 by (2 + 1 + 5) and then distribute accordingly to each ratio.
[tex]2 ~~ : ~~ 1 ~~: ~~ 5\implies 2\cdot \cfrac{24}{2+1+5}~~ : ~~ 1\cdot \cfrac{24}{2+1+5} ~~: ~~ 5\cdot \cfrac{24}{2+1+5} \\\\\\ 2 \cdot \cfrac{24}{8}~~ : ~~ 1 \cdot \cfrac{24}{8}~~: ~~ 5\cdot \cfrac{24}{8}\implies 2(3)~~ : ~~ 1(3) ~~: ~~ 5(3)\implies 6:\stackrel{\stackrel{shortest}{\downarrow }}{3}:15[/tex]
How large the size of a sample needs to be if we want to a 90% confidence level with a margin of error no more than 1.5%
Answer:
A 90 percent level can be obtained with a smaller sample, which usually translates into a less expensive survey. To obtain a 3 percent margin of error at a 90 percent level of confidence requires a sample size of about 750. For a 95 percent level of confidence, the sample size would be about 1,000.
An arithmetic sequence has this recursive formula:
{ A1=5
{An= An-1-4
What is the explicit formula for this sequence?
A. an= (-1) + (n - 5)(-4)
B. an=5+ (n − 1)(-4)
C. an= 5+ (n-4)(-1)
D. an= (-4) + (n − 1)5
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The correct option is B.
What is an arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
aₙ = a₁ + (n-1)d
where d is the difference and a₁ is the first term of the sequence.
Given A₁=5 and An= A₍ₙ₋₁₎-4, therefore we can write,
aₙ = a₁ + (n-1)d
Aₙ= 5+(n-1)(-4)
Hence, the correct option is B.
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The equation y - 5 = 6(x+1) is written in point-stope form. What is the equation written in slope-intercept form?
A. y = 6x + 11
B. y = 6x - 1
C. y = 6x - 4
D. y = 6x + 6
Answer:
A
Step-by-step explanation:y-5=6(x+1)
y-5=6x+6 Combine like terms so you add -5 to +6 which would be y=6x+11
OA. Graph D
OB. Graph B
OC. Graph A
OD. Graph C
A
C
& I
of
B
D
SUBMIT
Answer:
My sister is doing this, I if remember correctly graph B?
helppppppppppppppppp pleaseeeeeeeeeeee
(-4,1) and (2,-3) find length and midpoint of segment
Step-by-step explanation:
the length is calculated via Pythagoras, as the coordinate differences and the direct connection (as the Hypotenuse) between both points create a right-angled triangle.
length² = (-4 - 2)² + (1 - -3)² = (-6)² + 4² = 36 + 16 = 52
length = sqrt(52) = sqrt(4×13) = 2×sqrt(13)
the midpoint is simply ((x1+x2)/2, (y1+y2)/2)
so,
(-4 + 2)/2 = -2/2 = -1
(1 + -3)/2 = -2/2 = -1
therefore, the midpoint is (-1, -1)
Martin order a pizza with a 16-inch diameter. Ricky ordered a pizza with a 20-inch diameter. What is the approximate difference in area of the two pizzas?
A - 50 inches
B - 113 inches
C - 201 inches
D - 452 inches
Answer:
B. -113 inches
Step-by-step explanation:
First you have to find the radius of the two pizzas. The radius is half of the diameter. So, the first pizza would have a radius of 8 inches, since 8 is half of 16. The second pizza would have a radius of 10 inches, since 10 is half of 20. Then you would use the area formula to find the area of the two pizzas. The area formula is A=3.14R^2. The area of the first pizza is 201.06. The area of the second pizza is 314.16. Then you subtract those two numbers to get -113.1. The answer is -113 inches.
Calculate the volume of a cube of length 8 m
Answer:
V =512 m^3
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
V = 8^3
V =512 m^3
40 is 20% of what number? I don’t understand and need a strp by step:(
Answer:
200
Step-by-step explanation:
20% is one fifth and therefore 40 is also 1/5 of the number. I then do 40 times 5 to get 200
Answer:
200
Step-by-step explanation:
40 is 20% of 200 because 40/.20=200
20% of 200 is 40 because 200x0.20
it would help to set up proportions like:
40 20
/ =
x 100
and cross multiply and divide.
Which situation is not an example of a digital transaction?
OA. Juliana uses Bitcoin to buy computer software.
B. Jamelle tips a driver by using a rideshare app.
OC. Elsa mails a check to her utility company.
D. Mark scans the QR code on a menu to pay for lunch.
SUBMIT
Answer:
C
Step-by-step explanation:
mailing a check is the mechanical transport of a physical object representing a monetary amount for payment.
that act itself is not electronic.
at the end in today's times the final act to get the money from Elsa'a account into the account of the utility company will be most certainly electronic, but we don't know (it could still end up in the old fashioned way that somebody from the utility company goes with the check to their bank, cash that check in and then use that cash in some way). and Elsa would not be involved. for her the payment was manual, "mechanical", and not electronic.
Answer:
C
Step-by-step explanation:
It mentions Elsa mails a check. Although it is sent through mail, the means of payment is still a check, which is not a digital transaction.
A triangle has a base length of 2ac2 and a height 6 centimeters more than the base length. Find the area of the triangle if a = 4 and c = 2.
The area of the triangle is 608 cm².
What is area?Area is the region bounded by a plane shape.
To calculate the area of the triangle, we use the formula below.
Formula:
A = bh/2............................ Equation 1Where:
A = Area of the triangleb = Base of the triangleh = Height of the triangleFrom the question,
Given:
b = 2ac²If
a = 4, c = 2b = (2×4×2²) = 32 cmh = (32+6) = 38 cmSubstitute these values into equation 1
A = (32×38)/2A = 608 cm²Hence, the area is 608 cm².
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C. If f(4x+5)=12x+18 then find f¹(x).
If f¹ is supposed to say f⁻¹ : rewrite f(4x + 5) as an "obvious" function of 4x + 5, then replace 4x + 5 with x. By "obvious", I mean make it clear how 4x + 5 is the argument to f.
[tex]f(4x+5) = 12x+18 = 3 (4x + 6) = 3 (4x + 5 + 1) = 3 (4x + 5) + 3[/tex]
Then swapping out 4x + 5 for x gives
[tex]f(x) = 3x + 3[/tex]
The inverse of f(x), if it exists, is a function f⁻¹(x) such that
[tex]f\left(f^{-1}(x)\right) = x[/tex]
Evaluate f at f⁻¹ and solve for f⁻¹ :
[tex]f\left(f^{-1}(x)\right) = 3 f^{-1}(x) + 3 = x \implies \boxed{f^{-1}(x) = \dfrac{x-3}3}[/tex]
If f¹ instead means f' (as in the first derivative of f) : earlier we found f(x) = 3x + 3, and differentiating this is trivial.
[tex]f(x) = 3x+3 \implies f'(x) = 3[/tex]
Which answer shows 0.00897 written in scientific notation?
0.897 times 10 Superscript negative 2
8.97 times 10 Superscript negative 3
8.97 times 10 Superscript negative 2
8.97 times 10 Superscript 3
Answer:
8.97 × 10-3
Step-by-step explanation:
you move the decimal so its a number between 1 and less than 10 so we moved the decimal three spaces.
Answer:
its B
Step-by-step explanation:
Select all of the following that are quadratic functions.
x=3y²-6y+5
y+3=-2x2+5
y=2x2−8x+6
y=-7x-4
y-3x=4x³-x² +9
y = 5 x(x +9)-8
y-2x²=3x-2x²+4
DONE
The quadratic functions are given as below:-
x = 3y² - 6y + 5
y = 2x² + 2
y = 2x² -8x + 6
y = 5x² + 45x -8
What is a quadratic equation?The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.
As we know that the function which will have the highest power of the variable equal to 2 will be called a quadratic polynomial.
So from the given expressions following equations has a degree of 2.
x = 3y² - 6y + 5
y = 2x² + 2
y = 2x² -8x + 6
y = 5x² + 45x -8
Therefore the above equations are quadratic functions.
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Question 7(Multiple Choice Worth 1 points)
(02.05 LC)
Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.
Two lines labeled f of x and g of x. Line f of x passes through points 0, 4 and negative 4, 0. Line g of x passes through points negative 9, 0 and negative 4, 5.
−4
−5
4
5
The value of k based on the information given will be k = 2.
How to calculate the value?It should be noted that the line of f(x) passes through the point (-4, 0) and (0, 4). The line of g(x) goes through (-2, 0) and (0, 4).
The slope of x will be:
= (4 - 0)/(0 + 4)
= 4/4
= 1
By using slope point form, y = kx + 4.
Substitute x = 2.
g(-2) = -2k + 4 = 0
2k = 4
k = 4/2 = 2
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Gabby is a makeup artist and carries a lot of makeup around with her. she has 20 cosmetics in her bag, including 4 eye shadows. what is the probability that a randomly selected makeup item from her bag will be an eye shadow? write your answer as a fraction or whole number.
The probability that a randomly selected makeup item from her bag will be an eye shadow is 1/5 or 20%.
The probability of selecting an eye shadow from Gabby's bag can be calculated by dividing the number of eye shadows in the bag by the total number of cosmetics in the bag.
There are 4 eye shadows in Gabby's bag, and a total of 20 cosmetics. Therefore, the probability of selecting an eye shadow is:
P(eye shadow) = 4/20 = 1/5
This means that there is a 1 in 5 chance, or a 20% chance, that a randomly selected makeup item from Gabby's bag will be an eye shadow.
The probability can be expressed as a fraction or a whole number, depending on the context of the problem. In this case, we can express the probability as the fraction 1/5, which means that out of 20 possible cosmetics, only 4 are eye shadows.
We can also express the probability as the whole number 0.2 or 20%, which represents the proportion of eye shadows in Gabby's bag.
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Graph x > -1 on the number line
Number Line:
Closed Circles are used when signs are "≤" or "≥"
Open Circles are used when signs are "<" or ">"
The graph of x > -1 on a number line would be towards the right from -1 with open circle as the sign is ">"
Graph should look like this:
Which point on the number line most closley represents 1.ModifyingAbove 6 with bar?
A number line going from negative 6 to positive 6. Point A is between negative 2 and negative 1, point B is between 0 and 1, point C is 1, point D is between 1 and 2.
A
B
C
D
The correct answer is option D.The point 1.6 with bar will be lies between 1 and 2.
The image of the question is attached with the answer below:-
What is a number line?The number line is the line on which real numbers are marked with the same interval between them. Number lines are used to mark any point of the real number on the line.
We can see in the image that A, B, C and D points are marked on the number line. The line is marked with real numbers that are integers.1.6 bar number will lie between 1 and 2 numbers.
Therefore the correct answer is option D.The point 1.6 with a bar will be lies between 1 and 2.
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Answer:
D
Step-by-step explanation:
A soccer player stands at a point that is modeled by (0, 0) on the coordinate plane.
he then kicks a soccer ball that is modeled by a quadratic equation.
select all key features that help determine the vertical height that the soccer ball
traveled from when it left the ground to when it reached its maximum height.
- y-intercept
- zeros
- vertex
- end behavior
Answer:
the answer to the question above would be the option 3 (vertex)
This line plot shows the estimated amount of glue needed for summer projects at a camp. eric chose to complete a project with the greatest estimated amount of glue needed. the actual amount of glue he used was 3/4 of the estimated amount. how much glue did eric use for his project? enter your answer in the box as a mixed number in simplest form.
The amount of glue that eric used for his project is [tex]\mathbf{ 1\dfrac{11}{16}}[/tex]
How to interpret the line plot?The interpretation of the line plot involves a careful approach to how a series of data points are connected on coordinate planes.
From the Glue for summer project line plot:
The greatest estimated amount of glue needed can be seen at = 2 (1/4)The actual amount of glue needed = 3/4 of 2 (1/4)The amount of glue Eric used for the project is;
[tex]\mathbf{=\dfrac{3}{4}\times 2\dfrac{1}{4}}[/tex]
[tex]\mathbf{=\dfrac{3}{4}\times \dfrac{9}{4}}[/tex]
[tex]\mathbf{=\dfrac{27}{16}}[/tex]
[tex]\mathbf{= 1\dfrac{11}{16}}[/tex]
Therefore, we can conclude that the amount of glue used by Eric for this project is: [tex]\mathbf{ 1\dfrac{11}{16}}[/tex]
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In a class there are two girls for every three boys. The ratio 2 : 3 compares the
number of girls to the number of boys.
a) What is the ratio of boys to the whole class? - 3:5
b) If this class has eight girls, determine how many boys there are using the ratio that there are two girls for every three boys
Answer:
a. I'm not sure if there's more to the question but I can't answer without knowing how many is the whole class
B. 12 boys
5 hockey pucks and three hockey sticks cost $23. 5 hockey pucks and 1 hockey stick cost $20. How much does 1 hockey puck cost?
Answer:
$3.65
Step-by-step explanation:
The two purchases describe relations between quantity and price that can be used to write a system of equations for the prices of the hockey pucks and hockey sticks. These equations can be solved to find the price of a hockey puck.
__
setupLet x and y represent the prices of a hockey puck and a hockey stick, respectively. The two purchase values are ...
5x +3y = 23.50
5x +y = 20.00
solutionRearranging the second equation, we have an expression for y:
y = 20.00 -5x . . . . . . subtract 5x from both sides
Substituting this into the first equation gives ...
5x +3(20.00 -5x) = 23.50 . . . . . substitute for y
-10x +60.00 = 23.50 . . . . . . simplify
x -6.00 = -2.35 . . . . . . . . divide by -10
x = 3.65 . . . . . . . . . . . add 6
One hockey puck costs $3.65.
Which of the following could be the equation of a line perpendicular to the line 2x−5y=7?
The equation of a line perpendicular to the line 2x − 5y = 7 is y = (-5/2)x + b
What is an equation?An equation is an expression that shows the relationship between two or more variables or numbers.
Two lines are said to be perpendicular if the product of their slopes is equal to -1.
The slope of the line:
2x - 5y = 7
5y = 2x - 7
y = (2/5)x - 7
The slope of the line 2x - 5y = 7 is 2/5. The slope of the line perpendicular is -5/2
Hence:
The equation of a line perpendicular to the line 2x − 5y = 7 is y = (-5/2)x + b
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