The equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have:
A line with a slope of 3 passes through the point (6,9).
m = 3
The line equation:
y = mx + c
y = 3x + c
9 = 3(6) + c
c = -9
y = 3x - 9
Thus, the equation of the line is y = 3x - 9 if the line with a slope of 3 passes through the point (6,9).
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PLEASE ANSWER THIS! NO ONE DID EARLIER! HELP ME!
Answer:
the 1st one
Step-by-step explanation:
Is SAM - DEL? If so, identify the similarity postulate or theorem that
applies.
A. Similar - AA
B. Similar - SSS
C. Similar - SAS
D. Cannot be determined
Answer:
Step-by-step explanation:
C
The theorem that applies is Similar SAS.
The correct option is C.
What are similar triangles?Those triangles look the same but are different in size.
And in similar triangles,
the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.
Given information:
SM = 27, angle SMA = 31 degrees, MA = 15, DL = 9, LE = 5 and Angle DLE = 31 degrees.
From the given information, we know that angle SMA is congruent to angle DLE because they both have a measure of 31 degrees. However, we do not have any information about the other angles in the two triangles.
To check if the corresponding sides are proportional, we can compare the ratios of the corresponding side lengths:
SM/ DL = 27/9 = 3
MA/LE = 15/5 = 3
Since the ratio of SM to DL is equal to the ratio of MA to LE, we know that the corresponding sides are proportional.
Therefore, we can use the Similarity-SAS (Side-Angle-Side) postulate to conclude that the triangles are similar. The postulate states that if two pairs of corresponding sides are proportional and the included angles are congruent, then the triangles are similar.
The answer is (C) Similar - SAS.
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the length of a rectangle is 4 meters less than twice its width. The area of the rectangle is 70. Find the dimensions of the rectangle
Answer: The width is 7 meters. The length is 10 meters.
Step-by-step explanation: Area = Length × width
Length is 2w - 4
Substitute that value for length, then solve for w.
70 = w(2w - 4)
70 = 2w² - 4w reorganize to quadratic equation form
2w² - 4w -70 = 0 These are All even numbers; factor out 2 (divide all by 2)
w² - 2w - 35 = 0 factor this
(w - 7)(w + 5) set each factor = 0 and calculate the value of w.
w+5=0 w= -5 (disregard this one because dimensions of real rectangles can't be negative)
w - 7 = 0 w = 7 The width is 7
Substitute into the original expressions to get the value of Length.
2(7) -4 = L 14 - 4 = L The Length is 10.
Check by substituting into the original equation:
w × 2w -4 = 70
7 × 2(7) -4 = 70
7 × 10 = 70 TRUE!
w
Dimensions of the rectangle are length=10 meter and width= 7 meter
What is Rectangle?A rectangle is a quadrilateral with four right angles.
Given,
The length of a rectangle is 4 meter less than twice its width
Consider,
l is the length of the rectangle
w is the width of the rectangle
l=2w-4
Area of the rectangle = Length × Width
70=l × w
Substitute the value of l is the second equation
70=(2w-4)×w
[tex]2w^{2} -4w=70\\2w^{2} -4w-70=0[/tex]
Take 2 outside
[tex]2(w^{2}-2w-35)=0\\ w^{2} -2w-35=0\\(w+5)(w-7)=0[/tex]
w=7,-5
Hence w wont be negative value
Therefore w=7 meter
Then,
l×w=70
[tex]l=\frac{70}{7}\\[/tex]
l=10 meter
Hence, the dimensions of the rectangle are length=10 meter and width= 7 meter
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There are more than 3 gallons of gas in Berk’s car.
g > 3
A number line going from 2 to 5. An open circle is at 3. Everything to the left of the circle is shaded.
A number line going from 2 to 5. A closed circle is at 3. Everything to the right of the circle is shaded.
A number line going from 2 to 5. An open circle is at 3. Everything to the right of the circle is shaded.
Answer:
A number line going from 2 to 5. An open circle is at 3. Everything to the right of the circle is shaded.
Step-by-step explanation:
If it is < or > there will be an open circle
If it is ≤ or ≥ there will be a closed circle
On a number line the numbers get larger the more it goes to the right
Answer:
the answer is c
Step-by-step explanation:
the other guy is right he just made his answer really long.
The diameter of a red blood cell is about 0.0008 cm. the diameter of a chicken pox virus is about 1.7x10^-5 cm. what is the appropriate ratio of the diameter of the red blood cell to the diameter of the chicken pox virus?
A) 1.9x10^-2
B) 4.7x10^1
C) 4.7x10^2
D) 1.9x10^-3
ANSWER ASAP PLS
Answer:
Correct Choice: B) 4.7x10^1
Step-by-step explanation:
Scientific Notation
The diameter of a red blood cell is about 0.0008 cm. Expressing in scientific notation, the diameter is [tex]8\cdot 10^{-4} \ cm[/tex].
The diameter of a chickenpox virus is about [tex]1.7\cdot 10^{-5}\ cm[/tex]. It's already expressed in scientific notation.
The ratio of both measures is:
[tex]\displaystyle \frac{8\cdot 10^{-4} \ cm}{1.7\cdot 10^{-5}\ cm}[/tex]
Dividing the coefficients and subtracting the exponents:
[tex]\displaystyle 4.7\cdot 10^{1}[/tex]
Correct Choice: B) 4.7x10^1
Rectangle FGHJ has coordinates F(-8, 6), G(8, 6), H(8,-6), and J(-8, -6). The rectangle is dilated by a scale factor of v with the origin as the center of dilation to form rectangle F'G'H'J'. Which ordered pair represents the coordinates of vertex H'?
Answer:
H'(8v,-6v)
Step-by-step explanation:
Here coordinate of H is (8,-6). We are dilating it using the rule (x,y)-->(kx,ky) where 'k' is scale factor.
For our problem , the dilation factor is "v"
So, image would be (8v,-6v)
Pls answer I’ll give u 10 points
Answer: Yes because 2/7=3/6
Step-by-step explanation:
Answer:
de con es fueron des marchas
Nii saved more than Yaw. He saved 17 cedis more than Yaw
Answer:
thats great =)
Step-by-step explanation: can i pls have brainliest pls im on one more
Answer:
Step-by-step explanation:
uhh
What is the solution of the equation (x - 5)2 + 3(x - 5) + 9 = 02 Use u substitution and the quadratic formula to solve
Answer:
Did you know one-quarter of all your bones are located in your feet?
Step-by-step explanation:
The Kellam Booster Club made $1,638 selling tickets to the football games this season. A child's ticket costs $3 and they sold 120 of them. An adult ticket costs $9. How many adult tickets did they sell?
Answer:
They sold 142 adult tickets.
Step-by-step explanation:
120x3=360
142x9=1278
1278+360=1638
what's a Number line ?
a line on which numbers are marked at intervals, used to illustrate simple numerical operations.
Answer:
It is a line with points to represent numbers. It is used to model equations and can be used to determine greater or less than. It's a useful tool to use in math.
Step-by-step explanation:
At a movie theater, the price of 2 adult tickets and 4 child tickets is $48. The price of 5 adult tickets and 2 child tickets is $64. What is the ticket price for one adult and for one child?
Answer:
10$ for an adult and 7$ for a child
Step-by-step explanation:
price for an adult = a
price for a child = b
2a + 4b = 48.............(i)
5a + 2b = 64.............(ii)
make a subject of the formula in equation (i)
2a = 48 - 4b
divide through by 2
a = 24 - 2b
Insert the value of a in equation (ii)
5(24 - 2b) + 2b = 64
120 - 10b + 2b = 64
collect like terms
- 8b = 64 - 120
-8b = -56
divide both sides by -8
b = 7
insert the value of b in equation(i)
2a + 4(7) = 48
2a + 28 = 48
2a = 48 - 28
2a = 20
divide both sides by 2
a = 10
The price for one adult is $10 while the price for one child is $7
credit goes to vintechnology
hope that helped :)
Amita's kitchen is rectangular with an area of 3 3 4 square meters. The width of the kitchen is 1 1 2 meters. What is the length, in meters, of Amita's kitchen?
Answer:
2 1/2 meters
Step-by-step explanation:
Amita's kitchen is rectangular with an area of 3 3 /4 square meters. The width of the kitchen is 1 1/ 2 meters. What is the length, in meters, of Amita's kitchen?
The formula for the area of a rectangle = Length × Width.
To find the length our formula becomes : Area/Width
In the question,
Area = 3 3/4 m²
Width = 1 1/2 m
Length of the rectangular kitchen
= 3 3/4 m² ÷ 1 1/2 m
= 15/4 m² ÷ 3/2 m
= 15/4 m² × 2/3 m
= 5/2 m
= 2 1/2 m
The length of the rectangular kitchen is 2 1/2 meters
whoever helps me on all gets a brainliest
Answer:
1. 4 feet
2. 8 quarts
3. 3 kilometers
4. 1.50 kilograms
5. 28 cups
6. 5 meters
7. 900 meters
Step-by-step explanation:
Hey guys! I have some math questions I need help with! If your interested to help me please comment! Pls help me ASAP I don’t have time. You can put you snap or instagram user so I can DM you.
Answer: what is your question
Step-by-step explanation: Also for what subject
If you roll a numbered cube labelled 1 - 6 once, how likely is it that you would randomly roll a number less than 5
Answer:
4/36 (11.111%)
Step-by-step explanation:
Josh made $242 for 11 hours of work.
At the same rate, how much would he make for 7 hours of work?
Answer:
If 11hrs= $242
7hrs=7x242/100
154
Josh will made $154
Step-by-step explanation:
5. If your friend's doctor wants her target heart rate range to be between 143 and 170, and her
average resting heart rate is 62, what is her age? How did you backtrack through these equations
to find her age?
Fast please
Answer:
a person can work out 50% of the maximum (50% of 194 is 97) and 85% of the maximum (85% of 194 is 164.9). This means that the target heart rate for a 20-year-old is approximately 97–165 bpm. so around 21.
Step-by-step explanation:
3x - 3 = x -19
Solve for x
So what is the answer
If 4 soap cakes cost Rs 50, find the cost of 3 dozen soap cakes.
50 divided by 4 is 12.5, so it is 12.5 for 1 soap cake, 12.5 x 36 is 45.0
The answer is 45.0
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Robert earns $8.65 per hour mowing lawns. A) Write a rule for money m as a function of the number of hours h spent mowing lawns. B) How much does Robert earn if she works 3 hours and 25 minutes?
Answer:
A) [tex]m=8.65h[/tex]
B) $29.58
Step-by-step explanation:
Earnings per hour = $8.65
To find:
A) Write a rule for money m as a function of the number of hours h spent mowing lawns.
Earnings done in one hour = $8.65
Number of hours = [tex]h[/tex]
To find the total earnings, [tex]m[/tex] as a function of number of hours [tex]h[/tex], we need to multiply per hour earnings with number of hours [tex]h[/tex].
Therefore, the equation is:
[tex]m=8.65h[/tex]
B) How much does Robert earn if she works 3 hours and 25 minutes?
First of all, let us convert 3 hours and 25 minutes to hours.
3 hours 25 minutes = 3.42 hours
Therefore, total earnings are:
[tex]m = 8.65\times 3.42 = \$29.58[/tex]
Write an equation of the lime that passes through (3,7) and is parallel to the line shown
An equation of the parallel is y=□
Answer:
y=2x+1
Step-by-step explanation:
see graph
The “war council” is a meeting that Dally has with the leaders of the Socs. What is the plan/agreement that results from Dally’s meeting with “the war council”?
Answer:
yes
Step-by-step explanation:
yes
2/5x+4 =1/5x+8
I give up I hate math
What is the equation in point-slope form of the line that passes through the point (4,-5) and has a slope of 2/3?
Answer: I believe the correct answer is the last one but I’m not entirely sure, wait for someone else to answer.
Step-by-step explanation:
Answer:
third one
Step-by-step explanation:
point-slope form is y - y1 = m(x - x1)
plug in values y -(-5) = 2/3(x - 4)
the double negative cancels out and becomes a positive
therefore y + 5 = 2/3(x - 4)
a plane has fees for 420 passengers 15% of the seats are empty how many passengers are on the plane
Answer:
357 passengers
Step-by-step explanation:
[tex]\frac{x}{420}=\frac{85}{100}[/tex] (The [tex]\frac{85}{100}[/tex] is 85% of the 100% people because 15% is missing)
When you cross-simplify you get: [tex]\frac{x}{21}=\frac{85}{5}[/tex] which is [tex]\frac{x}{21}=17[/tex]
Finally, multiply 17 by 21 to get x.
Therefore, x=357
What is the coefficient of the term 53xy ?
5xy
5/3
5
1/3
Answer:
It's 53, unless you entered the problem wrong then its 5/3
Step-by-step explanation:
Coefficents are the numbers attached to unknown variables
Solve 10=5m/4
Im Confused, Please Help
Answer:
m = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
10 = 5m/4
Step 2: Solve for m
Multiply 4 on both sides: 40 = 5mDivide 5 on both sides: 8 = mRewrite: m = 8Step 3: Check
Plug in m into the original equation to verify it's a solution.
Substitute in m: 10 = 5(8)/4Multiply: 10 = 40/4Divide: 10 = 10Here we see that 10 does indeed equal 10.
∴ m = 8 is the solution to the equation.
pls help d ⋅ 24 = -12
d =?
Answer:
d = -0.5
Step-by-step explanation:
Original equation:
24d = -12
Divide both sides by 24
d = -0.5
Hope this helps :)
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Answer:
-0.5
Step-by-step explanation:
-12/24=-0/5 and ur left with d
Plz help ASAP!!!!!!!!
Answer:
4 [tex]\sqrt5[/tex]
Step-by-step explanation:
Use Pythagorean theorem to get c^2 for the hypotenuse, which is equal to [tex]\sqrt80[/tex]. You then simplify to get the simplest radical form by [tex]\sqrt80[/tex] = [tex]\sqrt{8*10} = \sqrt{4*2*5*2} = \sqrt{16*5} = 4\sqrt{5}[/tex]