Answer:
y = 3x - 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 4 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, thus
y = 3x + c ← is the partial equation
To find c substitute (2, - 3) into the partial equation
- 3 = 6 + c ⇒ c = - 3 - 6 = - 9
y = 3x - 9 ← equation of parallel line
The hypotenuse of a right triangle is 55 inches long. One leg is 2 inch(es) longer than the other. Find the
lengths of the legs of the triangle. Round your answers to the nearest tenth of an inch. Answer: The lengths are
Answer:
Step-by-step explanation:
Angles: 45°: 45°: 90°
Ratio of sides: 1:1:√2
Given c= 55
a =c/√2
a=55/√2 = 38.9
b=a+2 = 38.9+2 =41.9
The length of the legs of the triangle is 41.9
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
Angles are: 45°: 45°: 90°
The ratio of sides: 1:1:√2
Given c = 55
a = c/√2
a = 55/√2
a = 38.9
b = a+2
b = 38.9+2
b =41.9
Thus, the length of the legs of the triangle is 41.9
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Which angles are acute?
А в
H
Check all that apply.
Answer:
The answer is A and D.
Step-by-step explanation:
Acute angles are angles that are less than 90°.
0° < θ < 90°.
So by looking at the diagram, any angles that are smaller than a L-shaped(90°) are all acute angle.
15 POINTS!!!
Solve 3(−3−3x)+4=−5.
The solution is x=___
which expression has a value of 7/12
A. 6/8+1/4
B. 1/3+1/4
C. 7/8+4
D. 2 1/12+5 1/12
Answer:
C
Step-by-step explanation:
cuz
Mr. Smith saved $15 by buying a tool at a 10% discount. What was the original price for this tool?
Answer:16.5
Step-by-step explanation:
15 times 10 percent=1.5, Add 1.5 to 15 =16.5
Answer: $150
Step-by-step explanation:
PRICE x 10% = $15
PRICE x .1 =$15
PRICE = $15 /.1
PRICE = $150
simplify the expression -2 + 15
Answer: 13
Step-by-step explanation: 15-2=13
Solve.
6x2 + 7x – 20 = 0
Answer:
(3x + 4)(2x - 5)
[tex]6x^{2}+7x-20=0[/tex] = (3x + 4)(2x - 5)
Hope this helped! Have a great day!
In the diagram shown,
ABCE is a trapezium,
AD is parallel to BC,
DE = 4cm,
Area of ABCE = 60cm^2,
Area of ABCD = 48cm^2,
Work out the values of f and g.
You must show all your working.
The values of f and g are;
f = 6
f = 6g = 8
We are given the trapezium ABCE where;
AD is parallel to BC
DE = 4 cm
Area of ABCE = 60 cm²
Area of ABCD = 48 cm²
f and g are sides of the rectangle ABCD. Thus;
fg = 48 - - - (eq 1)
Also,for the trapezium ABCE;
½(g + g + 4)f = 60
(2g + 4)f = 120 - - - (eq 2)
From eq 1, f = 48/g
Thus;
(2g + 4) × (48/g) = 120
96 + 192/g = 120
192/g = 120 - 96
192/g = 24
g = 192/24
g = 8
Thus;
8f = 48
f = 48/8
f = 6
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Simplify 1/4(8x+16)+4x.
Answer:
6x+4
Step-by-step explanation:
First thing to do is distribute 1/4 into the parenthesis. So 1/4 times 8x and 16. Which will give you 2x and 4. Then add like terms which will be 2x + 4x which is 6x. Then you have the 4 left over so your new equation is 6x+4.
Answer:
[tex]\fbox{\begin{minipage}{3em}6x + 4\end{minipage}}[/tex]
Step-by-step explanation:
[tex]A= \frac{1}{4} (8x + 16) + 4x[/tex]
Apply associate property:
[tex]A = \frac{1}{4} *8x + \frac{1}{4} *16 + 4x[/tex]
Simplify the first two components:
[tex]A = 2x + 4 + 4x[/tex]
Rearrange the components:
[tex]A = 2x + 4x + 4[/tex]
Simplify:
[tex]A = 6x + 4[/tex]
Hope this helps!
:)
Help! Look at the picture
Answer:
171 square ft
Step-by-step explanation:
Area of side walk of the pool = Are of outer square - Area of inner square
[tex] = {30}^{2} - {27}^{2} \\ = (30 + 27)(30 - 27) \\ = 57 \times 3 \\ = 171 \: {ft}^{2} [/tex]
What is the slope of the line described by the equation below?
y- 5= -3(x - 17)
O A. -3
B. 3
O c. 5
OD. -5
Hellppp
Mike wants to buy a 20 oz bottle of water for $4.00.
Mary isn't as thirsty and only wants an 8 ounce bottle of water for $1.75.
Mike says "its cheaper PER OUNCE to buy the 20 oz bottle of water." Mary disagrees.
Who is correct and why?
Answer: Mary is cheaper than mike
Step-by-step explanation:
Hopes this Helps
1. Which number is greater: 35% or 3.5?
Answer:
3.5
Step-by-step explanation:
35% is only 0.35
Answer:
3.5
Step-by-step explanation:
Question 1
What is the measure of x?
Answer:
110
Step-by-step explanation:
What is the factored from of y2+6y-16
Answer:
(y + 8)(y - 2)
Step-by-step explanation:
Given
y² + 6y - 16
Consider the factors of the constant term (- 16) which sum to give the coefficient of the y- term (+ 6)
The factors are + 8 and - 2, since
8 × - 2 = - 16 and 8 - 2 = 6, thus
y² + 6y - 16 = (y + 8)(y - 2)
Which ordered pair maximizes the objective function P = 3x + 8y?
оооо
(0, 0)
(2, 7)
(5, 6)
о(8, 1)
Answer:
(5,6)
Step-by-step explanation:
I think you are asking whats the biggest sum you can get out of the ordered pairs. If you are I'm pretty sure (5,6) is correct. If you are not asking that, I am sorry.
8 - n = -4 what does N equal
Answer:
Make N alone
There is an 8 so we subtract 8 from both sides so the equation is still equal
-4 - 8 = -12
Because we are subtracting N it is positive
N = 12
8 - 12 = -4
Hope this helps
Step-by-step explanation:
Are these rates equivalent?
25 minutes for 3$
1 hour for 6$
Answer:
no
Step-by-step explanation:
25 minutes for $3 ends up being $7.20 for 1 hour which is greater than 6.
Answer:
no
Step-by-step explanation:
We can use ratios to see if they are equivalent
25 minutes 60 minutes
---------------- = -------------------
3 dollars 6 dollars
Using cross products
25*6 = 3 * 60
150 = 180
This is not true so they are not equivalent
Find the volume of this prism.
41 cm?
11 cm
Answer:
451cm cubed
Step-by-step explanation:
The volume of any prism = Area of cross section times height.
So, we substitute area of Cross section with 41 cm squared and height with 11.
41 x 11 = 451
The following graphs have no scales assigned to them. Which of them could
not possibly be density curves for a continuous random variable if they were
provided with the right scale?
Check all that apply
A. Graph A
B. Graph B
C. Graph
D. Graph D
E.Graph E
Graph A, and graph C could not possibly be density curves for a continuous random variable if they were provided with the right scale.
Given four graphs of different nature as options.
We are required to find a graph that is not a continuous variable.
What is continuity?In mathematics, a continuous function is a function such that a continuous variation of the argument induces a continuous variation of the value of the function.
Continuous lines are those lines that when decreased, decrease with continuity and when increased, increase with continuity.
When we observe graph A, graph C. In these graphs, the value of the function keeps increasing and decreasing a lot and is not in continuity.
Hence, graph A, and graph C could not possibly be density curves for a continuous random variable if they were provided with the right scale.
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Answer: Graph B and Graph C
Step-by-step explanation:
Which statements are true regarding the quadratic statement?
Answer:
E
Step-by-step explanation:
I hope am right coz it seems most appropriate
The value of 32 cos 85 ° is ____ a0. Round your answer to the nearest tenth of the number.
Answer:
2.8
Step-by-step explanation:
32cos 85≈2.8
Two whole numbers have a least common multiple (LCM) of 40.
• Each number is greater than 2.
• The greatest common factor (GCF) of the two numbers is 2.
What are the two numbers?
1.
20 and 2
2.
10 and 8
10 and 4
4.
8 and 5
pls this is due in 10 minutes pls help.
Answer:
10 and 8
Step-by-step explanation:
Case 1:
20 and 2
20 = 2^2 x 5
2 = 2^1
=> LCM = 2^2 x 5 = 20 (not 40)
=> Incorrect pair of numbers
Case 2:
10 and 8
10 = 2 x 5
8 = 2^3
=> LCM = 2^3 x 5 = 40
=> GCF = 2
=> Correct pair of numbers
Case 3:
10 and 4
10 = 2 x 5
4 = 2^2
=> LCM = 2^2 x 5 = 20 (not 40)
=> Incorrect pair of numbers
Case 4:
8 and 5
8 = 2^3
5 = 5 x 1
=> GCF = 1 (not 2)
=> Incorrect pair of numbers
Hope this helps!
:)
The numbers which have the least common multiple (LCM) of 40 and greatest common factor (GCF) of the two numbers is 2 are 8 and 10.
Wht are LCM and GCF?The LCM (Lowest Common Multiple) of two or more numbers is the smallest number among all common multiples of the provided numbers. In contrast, the greatest common factor (GCF) is the highest number among all the common factors of the given numbers.
Given that, two whole numbers have the least common multiple (LCM) of 40. and greatest common factor (GCF) of the two numbers is 2.
Let the two numbers be x and y
Now, we know that,
LCM (a, b) × HCF (a, b) = a × b.
40 × 2 = xy
xy = 80
Therefore, the product of two number is 80.
Now, from the given options, the only pair having product 80 is 8 and 10.
Therefore, the numbers are 8 and 10.
Hence, the numbers which have the least common multiple (LCM) of 40 and greatest common factor (GCF) of the two numbers is 2 are 8 and 10.
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SOMEONE PLEASE HELP ME ASAP PLEASE!!!!
Answer:
132 degrees is the measure of angle ABC.
Step-by-step explanation:
ABD = 180 because it is a straight line.
BCD = 48
ABD - BCD = 180 - 48
180 - 48 = 132
Answer:
ABC =132
Step-by-step explanation:
The two angles form a straight line so they add to 180
ABC + 48 = 180
Subtract 48 from each side
ABC +48-48 = 180-48
ABC =132
What is the volume, in terms of π, for a cylindrical
container with a radius of 3.25 centimeters and a
height of 10 centimeters? (use the formula V
= I1r2 h)
Answer:
[tex]105.625\pi cm^3[/tex]
Step-by-step explanation:
[tex]V=\pi r^2h=\pi *3.25^2*10=331.83072\\=331.83[/tex]
Answer in terms of [tex]\pi[/tex]
[tex]105.625\pi cm^3[/tex]
Were you surprised by the shape of your scatter plot? Explain.
Do you think there might be other factors that influence the association between the variables?
If you switched which axis each variable is graphed on, would your scatter plot look different? Describe and interpret the association between the variables.
Answer:
Answers are below
Step-by-step explanation:
Yes I was surprised by the scatter plot because I didn't know there would be the most rain at 77 degrees F on the red line.
If you switched which axis each variable is graphed on, your graph would look different because the graph could be sideways on the left or the right.
The graph has a trend of increasing temperature and amount of rain as you get up to the 7th column. After the 7th column, the trend shows decreasing rain and temperature.
Which is the graph of 3x – 4y = 6?
Answer:
D
Step-by-step explanation:
3x-4y=6
-4y=-3x+6
y=(3/4)x-(3/2)
positive slope with y-intercept at -3/2 corresponds to D
Graph includes the points (0,-3/2) and (2,0). Therefore, option D is the correct answer.
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
The given linear equation is 3x-4y=6
Graph the line using the slope and y-intercept, or two points.
Slope: 3/4
y-intercept:
(0,-3/2)
Plot the points (0,-3/2) and (2,0)
Therefore, option D is the correct answer.
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.In a group of 40 people, 15 people are wearing
sneakers and rest are not. Of the 10 people
who are wearing blue shirts, 5 of them are also
wearing sneakers. What portion of all the people
are not wearing sneaker and not wearing a blue
shirt?
Answer:
It should be 5:10 or 5 people not wearing sneakers and 10 not wearing a blue shirt
Step-by-step explanation:
Well it quite simple 1st you have the total which is 40
next you look at the rest, 15 people wearing sneakers plus the 5 waering sneakers and blue shirt. now you have 15.
next you have 10 people wearing but shirts. if you add the numbers you have now you get this: 15+10=25.
Now that you have 25 you can just add numbers to get 25(in that case 10 and 5). whats how you get 5:10
hope this helps (barry_ary)
Answer:
10
Step-by-step explanation:
15+10= 25
25+5=30
40-30=10
10 people are not wearing sneakers and
blue shirts
please solve
thanks
Answer:
1) 250°, 2) 44°
Step-by-step explanation:
1) See attached
If we add a line ⊥ to both AB and DE, we can find x as a sum of 2 internal angles of right triangles and 180°
∠D internal = 360°-312°=48°
x=180°+(90°-62°)+(90°-48°)= 180°+28°+42°= 250°
x=250°
2)
∠ADC= ∠ABC= 180°- ∠ADE= 180°- 110°= 70°
∠DBC= ∠ABC- ∠ABD= 70°-26°= 44°
∠DBC= 44°
Samantha is going to the store to buy cat food. A small bag of cat food costs $6 while a large bag costs $14. She plans to buy at least 4 bags of food but spend no more than $56. Which of the following is a possible combination of the types of bags she can buy?
Answer:
5 small bags of cat food and 1 large bag of cat food
Step-by-step explanation:
bc thats the only one that was no more than $54 and was at least 4 bags o food :)