The line graphed below passes through the points (-2, 0) and (0, -3). Use the slope formula to calculate the slope between the given points. Verify the slope by counting the rise over the run on the graph.
Answers
Answer:
The answer is -4/5
Step-by-step explanation:
It just is. The test said so.
Related Questions
Bryant collects a set of 20 data representing the lengths of worms he found in the garden. The variance of the set of measurements is 36. What is the standard deviation from the mean? millimeters
Answers
Answer:
6 millimeters
Explanation:
The standard deviation is the square root of the variance.
Since the variance is 36, the standard deviation would be
√36 = 6
Answer:6
Step-by-step explanation:
In the figure, what is the value of x?
Answers
Answer:x=90 °
Step-by-step explanation:
In any circle the exterior angle formed is half of the major arc - minor arc .
Angle formed by tangents or secants = [tex]\frac{1}{2}(Major arc - minor arc )[/tex]
The sum of measure of arcs inany circle is 360°.
Minor arc is given as x°.So Major arc = 360-x.
Substituting the given values in the formula :
[tex]x=\frac{1}{2}(360-x-x)[/tex]
[tex]x=\frac{1}{2}(360-2x)[/tex]
x=180-x
Adding x both sides we have:
2x=180.
Dividing both sides by 2.x= 90.
The domain of this graph is {x | x≥−2}.
True.
False.
Answers
_____________________________________________________
Note: From visual inspecton of the graph shown — [Note: all images attached refer to the same graph.] :
→ We can see that when "x = -2" ; there is only one value for "y" ; and then the "line" of the graph stops for any coordinate corresponding to any "x-value" LESS THAN "-2" ;
→ and that there are corresponding "y-coordinates" corresponding to any "x-value that is equal to "-2" and "GREAT THAN "-2" .
_________________________________________________________
So the answer is TRUE
Tracy solved the system of equations by making a substitution for x in the second equation.
What equation did she get as a result of that substitution?
x = –2y – 2
2x + 3y = –6
–2y – 2 = –6
–2y + 1 = –6
–4y – 2 + 3y = –6
–4y – 4 + 3y = –6
Answers
2(-2y-2) +3y = -6
After eliminating parentheses, Tracy had
-4y -4 +3y = -6
The 4th selection is appropriate:
-4y - 4 + 3y = -6
angle 0 is in quadrant 1 with sin0 = 2/5. Use the Pythagorean identity, sin^2 0 + cos^2 0 = 1, to calculate the value of cos0 as a radical.
Answers
sin²x+cos²x=1
so
clear cos x
cos x=(+/-)√[1-sin²x]
in this problem
Angle 0 is in quadrant 1 -----> cos o and sin o are positive
sin o=2/5
cos x=√[1-(2/5)²]----> cos o=√[1-4/25]----> cos o=√[21/25]---> cos o=√21/5
the answer is
cos o=√21/5
You bought 2 pairs of pants at $28.99 each, and one shirt at $21.34. If the tax rate is 5%, what is the total cost of your purchase?
Show how you got the answer
Question 3 options:
$79.32
$58.98
$69.32
$83.29
Answers
28.99*2 + 21.34
Multiply:
79.32
Now we find the tax rate:
79.32 * 0.05 = 3.966 ( we can round up to 3.97)
Add tax and total:
79.32 + 3.97 = 83.29
The total price is $83.29
The total cost of purchase on 2 pants and 1 shirt is $76.986.
Given that, you bought 2 pairs of pants at $28.99 each, and one shirt at $21.34.
What is the sales tax?Calculating the sales tax applied to a purchase is a matter of simply multiplying the tax rate by the purchase price using the equation sales tax = purchase price × sales tax rate. Adding the sales tax to the original purchase price gives the total price paid with tax.
Now,
The cost of 2 pairs of pants
= 2 ×28.99
= $57.98
Total cost of two pants and a shirt
= 21.34+51.98
= $73.32
Tax =5% of 73.32
= 5/100 ×73.32
= 0.05 ×73.32
= $3.666
Total cost of purchase =73.32+3.666
= $76.986
Therefore, the total cost of purchase on 2 pants and 1 shirt is $76.986.
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Two similar cones have volumes of 8pi and 64pi find the ratios of the radio
Answers
volume larger cone=64*pi unit³
volume smaller cone=8*pi unit³
we know that
volume larger cone=[scale factor]³*volume smaller cone
[scale factor]³=volume larger cone/volume smaller cone
[scale factor]³=64*pi/(8*pi)-----> 8
[scale factor]=∛8------> [scale factor]=2
Find the ratios of the radio
[radio larger cone/radio smaller cone] is equal to the scale factor
so
[radio larger cone/radio smaller cone]=2
or
[radio smaller cone/radio larger cone]=1/2
The area of a rectangular knitted blanket is 14 x^2 - 17 x -6. What are the possible dimensions of the blanket? Use factoring.
Answers
(7x 2)(2x 3 ) That looks promising. We'll put the 3 with the 2x. That leaves us with the signs. We need 17 to be minus
(7x 2)(2x - 3) that gives you - 21 x So the 2 with the seven has to be plus.
(7x + 2)(2x - 3) should be the the factored answer.
7x + 2 = 0 has no meaning. Measurements cannot be minus.
2x - 3 = 0
2x = 3
x = 3/2
If there are choices, please list them. That's as far as is possible.
To find the length ab of a small lake, a surrounding veyor measured angle acb to 96, ac to be 91 yards, and bc to be 71 yards. what is the approximate length of the lake?
Answers
c² = a² + b² − 2ab cos(C)
Applying this in our problem, we get:
AB²= 71²+91²- 2x91x71 cos96
AB²=14627.7 yard²
AB=121 yard
One of the angles of a parallelogram is equal to 40°. Find the rest of the angles.
Answers
The angles of parallelogram are 40°, 140°, 40°, 140°.
What is parallelogram?
A parallelogram is a type of quadrilateral. It is a two-dimensional figure with four sides. The most important properties of a parallelogram are that the opposite sides are parallel and congruent and the opposite angles are also equal.
For the given situation,
One angle of parallelogram = 40°
Let the unknown angle be 'x'
The angles on the same side of the transversal are supplementary, that means they add up to 180 degrees.
⇒ [tex]40+x=180[/tex]
⇒ [tex]x=140[/tex]
The opposite interior angles are equal.
Hence we can conclude that the angles of parallelogram are 40°, 140°, 40°, 140°.
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Find the quotient. Write your answer USING A DECIMAL and ROUNF TO THE NEAREST HUNDREDTH.
8,426÷82
Answers
classify 4x^5+2x^4-5x^3+12 by number of terms
Answers
The polynomial 4x⁵ + 2x⁴ - 5x³ + 13 has a degree of five and a quadrinomial (four terms).
What is a polynomial?Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.
Polynomials can be classified based on degree as linear, quadratic, cubic and so on. Polynomials can also be classified based on number of terms.
The polynomial 4x⁵ + 2x⁴ - 5x³ + 13 has a degree of five and a quadrinomial (four terms).
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i’m sure this is easy but i'm gonna ask anyway
Answers
[tex]P = 4V^{ \frac{1}{3}} \\ P = 4(125)^{ \frac{1}{3}}[/tex]
A number to the power of 1/3 is the same as taking a cube root.
[tex]P = 4(125)^{ \frac{1}{3}} \\ P = 4(5) \\ P=20[/tex]
The perimeter of one face of the cube is 20m.
What would “x” be ?
Thanks you
Answers
So x would equal to 40.37 degrees
Step-by-step explanation:
[tex]cos \: x = \frac{a}{h} \\ cos \: x = \frac{16}{21} = 0.76 \\ cos \: x = 40.36degrees[/tex]
What is the value of x?
132√ cm
526√3 cm
262√ cm
263√ cm
Answers
ratio of short leg: long leg :hypo = a: a√3: 2a
So if hypo = 52 cm then short leg = 52/2 = 26 cm
The other right triangle on the left is 45 45 90 because it has 2 equal sides
ratio of leg: leg :hypo = a: a: a√2
the leg = 26 cm
so hypo x = 26√2
Answer
26√2 cm
[tex]\huge \boxed{\sf 26\sqrt{2}\ cm } \\\\\\\sf Using\ trigonometric\ functions \\\\\displaystyle cos \theta = \frac{adj}{hyp} \\\\cos(60)=\frac{adj}{52} \\\\adj=cos(60) \times 52=26 \\\\Using\ the\ Pythagorean\ theorem \\\\x=\sqrt{26^2+26^2} =26\sqrt{2}[/tex]
HIGH AMOUNT OF POINTS! MATH QUESTION! IF YOU DON'T KNOW IT, DON'T ANSWER!
Answers
y=x^2-3
x-y=1
thus the plot will be as shown in the picture. The solutions are:
(-2,-1) and (2,1)
The pyramid shown below has a square base, a height of 7, and a volume of 84. what is the length of the side of the base?
Answers
So we plug in the given information and solve. Let x = length and width since it's a square their measurements are the same.
84 = (x * x * 7) or 84 = 7x²
Divide both sides by 7 to isolate the squared variable.
x² = 12
Now square root both sides to isolate the variable
x = √12 which simplifies to x = 2√3
The measurements for the length and width of the base are 2√3 units or approximately 3.464 units.
The length of the side of the base is 6 units.
What is the volume of the pyramid?The volume of the pyramid is;
[tex]\rm Volume \ of \ pyramid=\dfrac{1}{3}\times height \times Base[/tex]
The pyramid shown below has a square base, a height of 7, and a volume of 84.
Substitute all the values in the formula
[tex]\rm Volume \ of \ pyramid=\dfrac{1}{3}\times height \times Base\\\\\rm84 =\dfrac{1}{3}\times height \times 7\\\\Height = \dfrac{84\times 3}{7}\\\\ Height = \dfrac{252}{7}\\\\Height =36[/tex]
The length of the side of the base is;
[tex]\rm Side\ length^2=height\\\\ Side\ length^2=36\\\\Side\ length^2=6^2\\\\Side\ length=6[/tex]
Hence, the length of the side of the base is 6 units.
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How do you find the inverse of y=2x-3
Answers
Subtract 3 from each side
y - 3 = 2x
Divide through by 2
y/2 - 3/2 = x
or x = y/2 - 3/2
Now simply switch labels: x↔y
y = x/2 - 3/2
Find the surface area of the equilateral triangular pyramid.
Answers
good luck
Answer:
i think the answer is C.
GOOD LUCK!!!
Assuming the cost of cement blocks is $75 per 1,000, how much will it cost for the blocks to build a wall 7ft. tall by 20 ft. long if the block is 6 inches thick and 10 blocks are needed for 1 cubic foot.
Answers
[tex]6in* \frac{1ft}{12in} =0.5ft[/tex]
Since the thickens of the wall will be equal to the thickness of each block, the thick of the all is 0.5 feet.
Now, to find the volume of the wall, we are going to use the formula:
[tex]V_{w}=hlt[/tex]
where
[tex]V_{w}[/tex] is the volume of the wall
[tex]h[/tex] is the height of the wall
[tex]l[/tex] is the length of the wall
[tex]t[/tex] is the thickness of the wall
We know for our problem that the wall is 7ft. tall by 20 ft. long, so [tex]h=7ft[/tex] and [tex]l=20ft[/tex]. We also know from our previous calculation that the thickness of the wall is 0.5ft, so [tex]t=0.5ft[/tex]. Lets replace those values in our formula:
[tex]V_{w}=hlt[/tex]
[tex]V_{w}=(7ft)(20ft)(0.5ft)=70ft^3[/tex]
Now we know that the volume of the wall is 70 cubic feet. We also know that 10 blocks are needed for 1 cubic foot, so to find the total numbers of blocks needed, we are going to multiply the volume of the wall by the number of blocks needed for 1 cubic foot:
[tex]TotalBlocks=70ft^3* \frac{10blocks}{1ft^3 } =700 blocks [/tex]
Finally, to find the total cost, we are going to multiply the number of blocks needed by the cost of 1000 blocks:
[tex]TotalCost=700blocks* \frac{75}{1000} =52.5[/tex]
We can conclude that the cost of the wall will be $52.5
Please help !!
Question posted below
Answers
24 - 12 = 12
A sum of money is divided among peter paul and jane in ratio 13:12:7 calculate how much paul gets if amount peter gets more than jane is 78$
Answers
x: Money Peter receives
y: Money Paul receives
z: Money Jane receives
We write the system of equations:
x / y = 13/12
x / z = 13/7
x = z + 78
Solving the system we have:
x = $ 169
y = 156 $
z = 91 $
Answer:
Paul gets 156 $
In spherical geometry, what is the term used for the shortest distance between two points?
Answers
The explanation of is shown below:
1. You have that ,by definition, the spherical geometry studies figures on the surface of the spheres.
2. And the termn known as "Geodesic" is define as the shortest distance between two points on the surface of a sphere or a curved surface.
Michael, a freelance editor, charges the rates shown in the table below to edit manuscripts. The cost per page increases as the quality of editing improves. Michael also gives a 5% discount if the entire amount is paid up front. A 2 column table with Type of Editing and Cost per page as the column headings. Express Proofreading costs 2.20 dollars, Basic Proofreading 2.80 dollars, Extended Proofreading 3.90 dollars, and Deep Editing 12 dollars Maria has a 25-page manuscript. The equation below shows the relationship between the total cost of editing 25 pages, T, and the cost per page, c, if she gets the 5% discount: 25c − 0.05(25c) = T Using the equation, what is the best quality of editing that Maria can get done for a maximum of $66.50?
Answers
25c -.05(25c) = 66.50
0.95*25*c = 66.50
c = 66.50/(0.95*25) = 2.80
The best quality of editing that Maria can afford is ...
Basic Proofreading
true, false, or open. Explain. 45/x-14=22
Answers
add 14 to both sides
45/x -14 +14 = 22 +14
45/x = 36
36 x = 45
x = 45/36 = 5/4 = 1.25
What is the surface area of the cylinder in terms of pi? The diagram is not drawn to scale.
Answers
Surface Area = 2π(7)² + 2π(7)(15) = 308π in²²
Answer: 308π in²
The solution is, 308π in² is the surface area of the cylinder in terms of pi.
What is surface area?Surface area is the amount of space covering the outside of a three-dimensional shape. The surface area of a solid object is a measure of the total area that the surface of the object occupies.
here, we have,
from the given diagram , we get,
the cylinder has,
radius = r = 7
height = h = 15
we know that,
Surface Area = 2πr² + 2πrh
so, we get,
r = 7
h = 15
substituting the values, we get,
Surface Area
= 2π(7)² + 2π(7)(15)
= 308π in²²
Answer: 308π in²
Hence, The solution is, 308π in² is the surface area of the cylinder in terms of pi.
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Bruce has 97 sports cards. 34 of them are football cards. Which equation can be used to find the number of sports cards y that are not football cards
Answers
Answer: 34 + y = 97
Step-by-step explanation:
According to the question,
Total number of sport cards = 97
In which some are foot ball cards and some are non football cards.
Let y be the number of sports cards.
Given, 34 cards are football cards.
Therefore, total number of cards = 34 + y
⇒ 34 + y = 97
Which is the equation that will use to find the number of non football cards.
To find the number of sports cards that are not football cards, you subtract the number of football cards from the total number of sports cards. The equation is y = 97 - 34.
To determine the number of sports cards that are not football cards, you need to subtract the number of football cards from the total number of sports cards.
Step-by-Step Explanation:
The total number of sports cards is 97.
The number of football cards is 34.
The number of sports cards that are not football cards can be found by subtracting the number of football cards from the total number of sports cards: y = 97 - 34.
Therefore, the equation y = 97 - 34 can be used to find the number of sports cards that are not football cards.
Suppose you want to build a rectangular sandbox where the width is 5 feet less than the length and the diagonal is 5 feet longer than the length. what are the dimensions of the sandbox?
Answers
W = L - 5 ←5 feet less than (reverse order - ) the length (L)
D = L + 5
These 3 lengths form a right triangle with D being the hypotenuse, c.
Using the Pythagorean Theorem, a² + b² = c²
L² + (L - 5)² = (L + 5)²
L² + L² - 10L + 25 = L² + 10L + 25
L² - 20L = 0
L = 0 (can't use this answer) or L = 20 (this is a usable answer)
Dimensions of the sandbox 20 ft by 15 ft
Length = 20 ft
Width = 15 ft
Diagonal = 25 ft
neil tried to simplify an expression step by step 5^-6/5^-4
Answers
The simplified form of the given expression is 1/25.
The given expression is [tex]\frac{5^{-6} }{5^{-4} }[/tex].
We need to simplify the given expression.
What are exponents and how do solve exponents questions?The exponent of a number shows how many times the number is multiplied by itself. The properties of exponents or laws of exponents are used to solve problems involving exponents. These properties are also considered major exponents rules to be followed while solving exponents.
Using quotient law [tex]\frac{a^{m} }{a^{n} } =a^{m-n}[/tex].
Now, [tex]\frac{5^{-6} }{5^{-4} }[/tex] can be written as [tex]\frac{5^{4} }{5^{6} }[/tex]
By using the quotient rule, we get [tex]\frac{5^{4} }{5^{6} }=5^{4-6}[/tex]
[tex]=5^{-2}=\frac{1}{5^{2}}[/tex]
=1/5×5=1/25
Therefore, the simplified form of the given expression is 1/25.
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WILL MARK BRAINLIEST!!
Given: x - 5 > -10.
Choose the solution set.
{x | x R, x < -15}
{x | x R, x > -5}
{x | x R, x < 5}
{x | x R, x > 15}
Answers
Answer:
{x | x R, x > −5}
Step-by-step explanation:
x - 5 > -10
+ 5 + 5
__________
x > −5
I am joyous to assist you anytime.