Answers
A = (-7,-6)
B = (8,-9)
Find the slope of line AB
m = (y2-y1)/(x2-x1)
m = (-9-(-6))/(8-(-7))
m = (-9+6)/(8+7)
m = -3/15
m = -1/5
The slope of line AB is -1/5.
Flip the fraction and the sign to go from -1/5 to +5/1 = 5. The perpendicular slope is 5.
Let m = 5.
Use the coordinates of point C (2,12) along with the perpendicular slope to get
y - y1 = m(x - x1)
y - 12 = 5(x - 2)
y - 12 = 5x - 10
y = 5x - 10+12
y = 5x + 2
Lastly, convert this to standard form
y = 5x + 2
5x+2 = y
5x+2-y = 0
5x-y = -2
Choice A is the closest match, but the -56 should be -2 instead. It seems like your teacher made a typo somewhere.
Answer:
5x - y = -2.
Step-by-step explanation:
The equation of this altitude line has a slope = -1/m where m is the slope of line AB . It will also pass through the point C.
The slope of line AB = (-9 - (-6)) / (8 - (-7))
= -3/15
= -1/5
So the slope of the required line = -1 / -1/5 = 5.
Using the point C and the point-slope form of a line:
y - y1 = m(x - x1)
y - 12 = 5(x - 2)
y - 5x = -10 + 12
y - 5x = 2
5x - y = -2.
Related Questions
Is my answer correct?
Answers
Answer:
Your answer is correct
Step-by-step explanation:
SAS triangle is proven through b option.
Hope this helps....
Have a nice day!!!!
(84)/(12)+(5-7)^(2)-72-6x2
Answers
Answer:
[tex]-73[/tex]
Step-by-step explanation:
Note: My explanation is based of the order-of-operations
First, using the order-of-operations, we evaluate the expressions in parentheses. Fully simplifying [tex](5-7)^2[/tex] gives us: [tex](5-7)^2 = -2^2 = 4[/tex].
Next, we do [tex]6\cdot2[/tex] giving us [tex]12[/tex]. So far, our expression is simplified to [tex]\frac{84}{12} + 4 - 72 - 12[/tex].
We also know that [tex]\frac{84}{12}[/tex] is just [tex]7[/tex] so we can replace that value in the expression leaving us with: [tex]7+4-72-12[/tex]. Now, we can solve it in simple steps!
1) [tex]7+4=11[/tex]
3) [tex]11-72=-61[/tex]
4) [tex]-61-12=-73[/tex]
Our answer is [tex]-73[/tex]
Hopefully this helped you out! Please (please) tell me if their is a mistake in the solution and I will correct it as fast as possible for me.
Four students are verifying that x2 + x– 12 = (x – 3)(x + 4). Their conclusions are presented in the table. A 4-column table with 1 row. First column is labeled Damien with entry 3(negative 4) = negative 12, so the factors are correct. Second column is labeled Lauryn with entry negative 4 + 3 = negative 1, so the factors are correct. Third column is labeled Rico with entry negative 4(3) = negative 12 and negative 4 + 3 = negative 1, so the factors are correct. Fourth column is labeled Latisha with entry 4(negative 3) = negative 12 and negative 3 + 4 =1, so the factors are correct. Which student correctly verified that x2 + x – 12 = (x – 3)(x + 4)? Damien Lauryn Rico Latisha
Answers
Answer:
Latisha correctly verified that x² + x - 12 = (x - 3)(x + 4)
Step-by-step explanation:
In the problem, each student was to give their explanation of why the statement above is correct. In order to know if this statement is correct, you can also simply multiply the terms after the equal sign.
(x - 3)(x + 4)
Use foil method to multiply.
x² - 3x + 4x - 12
Combine like terms.
x² + x - 12
You can also find out if the statement is correct is multiplying and adding the numbers together.
-3 * 4 = -12
-3 + 4 = 1
So, Latisha is correct because her explanation verified the statement above.
Answer:
Latisha
Step-by-step explanation:
Correct on edg
Write the equation 5x − 2y = 10 in the form y = mx + b. y equals start fraction five over two end fraction x minus 10 y equals start fraction five over two end fraction x minus five y equals start fraction five over two end fraction x plus five y equals negative start fraction five over two end fraction x minus five
Answers
Answer:
y = 5/2x - 5
Step-by-step explanation:
You have to rearrange the equation so that it is equal to y.
5x - 2y = 10
(5x - 2y) - 5x = -5x + 10
-2y = -5x + 10
(-2y)/-2 = (-5x)/-2 + (10)/-2
y = 5/2x - 5
Hellp me pls!!! For homework
Answers
Answer: 1.4
Work Shown:
42 cupcakes : 30 minutes
42/30 cupcakes : 30/30 minutes
1.4 cupcakes : 1 minute
The unit rate is 1.4 cupcakes per minute. This assumes that the rate is kept the same.
She can decorate 1.4 cupcakes per minute.
Need to find the Domain and Range
Answers
Answer:
D: {x∈R | -2 ≤ x ≤ 2 }
R: {y∈R | 0 ≤ y ≤ 4 }
Step-by-step explanation:
The domain ranges between -2 and 2
The range ranges between 0 and 4
which of the following graphs dont belong and why?
Answers
Answer:
Upper Right
Step-by-step explanation:
All of them have different dips, therefore the one facing in a different direction must be the odd one out.
Answer:
top right graph
Step-by-step explanation:
3 of the 4 graphs start at negative infinity for negative x, and approach infinity as x approaches infinity.
The top right graph starts at infinity for negative x and approaches negative infinity as x approaches infinity.
Answer: top right graph
Help me with my summer Hw please
Answers
Answer:
Step-by-step explanation:
wyatt uses 3.15 cups of flour in a recipe that makes 9 shortcakes. Cora uses 2.4 cups of flour in a recipe that makes 8 shortcakes. How much more flower per shortcake is needed for Cora's recipe?
Answers
Answer:
0.3
Step-by-step explanation:
You have to divide 2.4 ➗ 8
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answers
Answer:
I believe it is A. 1,1150.6cm^3
Step-by-step explanation:
To solve for the volume of a cone:
[tex]V = \pi radius^{2} \frac{height}{3}[/tex]
[tex]2x + x { }^{2} + x[/tex]
Answers
Answer:
[tex]\huge \boxed{x(x+3)}[/tex]
Step-by-step explanation:
[tex]2x+x^2 +x[/tex]
Combine like terms.
[tex]x^2 +(2x+x)[/tex]
[tex]x^2 +3x[/tex]
Factor out [tex]x[/tex] from the expression.
[tex]x(x+3)[/tex]
Howard is designing a chair swing ride. The swing ropes are 5 meters long, and in full swing they tilt in an angle of 29 degrees. Howard wants the chairs to be 2.75 meters above the ground in full swing. How tall should the pole of the swing ride be?
Answers
Answer:
Step-by-step explanation:7.12 meters tall
What is the value of x
Answers
Answer:
x = 58
Step-by-step explanation:
The secant- tangent angle 51° is half the difference of the measures of the intercepted arcs, that is
[tex]\frac{1}{2}[/tex] (160 - x) = 51 ( multiply both sides by 2 )
160 - x = 102 ( subtract 102 from both sides )
58 - x = 0 , thus
x = 58
Find the area of the shaded region . RQ= 71.5 inches and PO=93.4 inches . Use 3.14 as necessary
Answers
Answer:
25,886.01 in²
Step-by-step explanation:
The area of shaded region = Area of the outter circle (the larger circle) - area of the inner circle (the smaller circle)
Area of a circle = πr²
Radius of larger circle = PO = 93.4 in
Area of the larger circle = 3.14*93.4² = 27,391.98 in²
Radius of smaller circle = PO - RQ = 93.4 - 71.5 = 21.9
Area of smaller circle = 3.14*21.9² = 1,505.97 in²
Area of shaded region = 27,391.98 - 1,505.97 = 25,886.01 in²
It's estimated that 330 billion photographs are taken each year. If there are 6.9
billion people in the world, how many photos on average is that per person?
Answers
Jared and Zach are practicing their free throws. Jared attempted x shots and made 75% of them. Zach attempted 10 more shots than Jared did and made 80% of them. Together, they made a total of 101 shots. Which equation represents this situation?
Answers
0.75x+0.8(x + 10) = 101
Answer:
0.75x+0.8(x+10)=101
Step-by-step explanation:
Jared attempted x shots and made 75% of them, or 0.75x. Zach attempted 10 more shots than Jared did, which is represented as x + 10. He made 80% of them, or 0.8(x + 10). Together, they made 101 shots. So, add the two expressions and set the sum equal to 101:
0.75x + 0.8(x + 10) = 101.
2x(7a+8a)-5 +56*2÷3
Answers
Answer:
Below
Step-by-step explanation:
● 2x(7a+8a) -5+56×2÷3
● 14ax + 8a -5 +56×2÷3
When you have multiplication and division go from left to right
● 14ax + 8a -5 +112÷3
● 14ax + 8a -5 +112/3
● 14ax + 8a - 15/3 + 112/3
● 14ax + 8a + 97/3
solve for x 7(3-x) = 8(4-2x)
Answers
Answer:
x = 11/9
Step-by-step explanation:
Eliminate parentheses, add 16x, subtract 21.
7(3 -x) = 8(4 -2x) . . . . given
21 -7x = 32 -16x . . . . . eliminate parentheses using the distributive property
9x +21 = 32 . . . . . . . . add 16x
9x = 11 . . . . . . . . . . . . subtract 21
x = 11/9 . . . . . . . . . . . .divide by the coefficient of x
CAN U PLS HELP ME OUT I WILL GIVE BRAINLIST AND A THANK YOU!!!!!! :)
Answers
Step by step: it is across from 25.
Answer:
Step-by-step explanation:
Vertically opposite angles are equal
x = 25°
The physician orders 1500 flu injections. There were 300 shots given in September, 450 shots given in October, and 665 shots given in November. A. What percentage of flu vaccine has been given
Answers
Answer:
50%
Step-by-step explanation:
You take the 1500 shots and take away the 300 and 450 you get 750 you divide 750 from 1500 then you get 0.5 and you multiply it with 100 and you get the answer 50.
Out of 1500 flu injections the share of flu vaccines which has been given is 94.33%.
What is percentage?A percentage is that the number or ratio expressed as a fraction of 100. it's denoted by the expression %. it's calculated by the subsequent formula:
Percentage=Number/total*100
How to calculate percentage?It is provided that out of 1500 flu vaccines , 300 got in September, 450 got in October and 665 got in November.
Total vaccines given= 300+450+665
=1415
Percentage=1415/1500*100
=0.9433*100
=94.33%
Hence the proportion of flue vaccine that has been given is 94.33%.
Learn more about percentage at https://brainly.com/question/24304697
#SPJ2
A smooth vector field on the phase plane is known to have exactly three closed orbits. Two of the cycles, say C1 and C2 , lie inside the third cycle C3 . However, C1 does not lie inside C2 , nor vice-versa. a) Sketch the arrangement of the three cycles. b) Show that there must be at least one fixed point in the region bounded by C1 ,C2 , C3 .
Answers
Answer:
a) attached below
b) Ic3 = Ic2 + Ic1 + index of a fixed point in ( C°₁ U C°₂ )^c n c₃
Step-by-step explanation:
A) sketch of the arrangement of the cycles
attached below
b) prove that at least one fixed point in the attached region is bounded
Given that : Ic3 = Ic2 = Ic1 = 1
hence : Ic3 = Ic2 + Ic1 + index of a fixed point in ( C°₁ U C°₂ )^c n c₃
This is a prove that at least one fixed point is bounded by C1 , C2 , C3
Help is greatly appreciated:)
Answers
i need help on figuring this out and the answer plz!!
Answers
Answer:
$76
Step-by-step explanation:
The amount changed is the total amount of the whole entire thing.
Therefore, we use absolute value or simply find the difference.
21 - (-55) = 76
So the bank account changed $76 over the 2 days.
If x^2 -8x=48 and x<0, what is the value of x+10?
Answers
Answer:
6
Step-by-step explanation:
To calculate x+10, we first need to find x. To do this, we can use the first equation.
We are given the equation:
[tex]x^2-8x=48[/tex]
To solve for x, turn one side of the equation into 0 and solve. Therefore:
[tex]x^2-8x=48\\x^2-8x-48=0\\(x-12)(x+4)=0\\x=-4, 12[/tex]
So, the possible values for x are -4 and 12.
However, we are also told that x<0. In other words, x must be negative. Thus, we can remove 12. That leaves us with: x=-4.
So:
[tex]x+10\\(-4)+10\\=6[/tex]
(x-12)(x+4) = 0
x=12, x=-4
Since x<0, x must be -4
Therefore, -4+10=6
Please answer this IQ maths question and tell method please
1) if 32 and 43 makes 35 , then 76 and 15 makes ______?
a)69 (b) 92 (c) 94 (d) 78
2)(3,6,11) and (13, 10,7) then (15,?,3) find the missing one
Answers
Answer:
3
3+3=6
3+3+5=11
13
13-3=10
10-3=7
15
15-7=8
8-5=3
32+43=75
75-40(highest ten)=35
76+15=91
91-70=21
While traveling in England, Sonia noticed that the price of gas was 1.4 pints per liter. She wondered how that compares to the price of gas in Atlanta, where she lives. On that day, the exchange rate was £1= $1.56. Set up and evaluate a conversion expression to find the equivalent price in dollars per gallon. Use the conversion factor 1L=0.26 gal.
Answers
Answer:
The price in dollars per gallon is 8.4
Step-by-step explanation:
The ratio is a comparison between two quantities that is made using a quotient. In other words, a ratio is a comparison between two or more quantities that can be expressed as a fraction. If the quantities to be compared are a and b, the ratio between them is written as: [tex]\frac{a}{b}[/tex]
You know that the price in England is 1.4 pounds per liter and the current exchange rate is 1 pound = 1.65 dollars. So, being the following reasons:
[tex]\frac{1.4 pounds}{1 liter}[/tex][tex]\frac{1.56 dollars}{1 pound}[/tex]and being the conversion factor 1 L = 0.26 gal expressed as a ratio:
[tex]\frac{1 liter}{0.26 gal}[/tex]you can see that the expression to find the equivalent price in dollars per gallon is:
[tex]\frac{1.4 pounds}{1 liter}*\frac{1.56 dollars}{1 pound}*\frac{1 liter}{0.26 gal}[/tex]
Taking into account that all unwanted units of measure are canceled and solving:
[tex]\frac{1.4 pounds}{1 liter}*\frac{1.56 dollars}{1 pound}*\frac{1 liter}{0.26 gal}=\frac{2.184 dollars}{0.26gal}= 8.4 \frac{dollars}{gal}[/tex]
The price in dollars per gallon is 8.4
Mr lim had just enough money to buy 6 similar lamps. However, he bought 3 such lamps and had $950 left. How much money did mr lim have at first?
Answers
Let the cost of a lamp = x
6 lamps would cost 6x
He bought 3 lamps at 3x plus Thad 950 left.
3 lamps plus the 950
Would be the same amount as 6 lamps:
Set up an equation and solve for x:
3x + 950 = 6x
Subtract 3x from both sides:
950 = 3x
Divide both sides by 3:
X = 316.67
Each lamp was $316.67
Multiply the price of a lamp by 6:
316.67 x 6 = 1900
He had $1900
Answer: $1900
Step-by-step explanation:
Mr Lim had enough money to buy 6 similar lamps. However he only bought 3 such lamps. That means he had only spent half of his money (6-3=3).
So, if he take money remaining with him = x = $950
Amount of money he first had = 2x =$950×2 = $1900
A train travels 250 km with a average speed of 75 km/hr and 350 km with 70km/hr and 200 km with average speed of 30km/hr. What will the average speed of whole journey of the train?
Answers
Answer:
53 1/3 km/h
Step-by-step explanation:
average speed = (total distance)/(total time)
average speed = distance/time
time * average speed = distance
time = distance/(average speed)
250 km at 75 km/h
distance = 250 km
time = (250 km)/(75 km/h) = 3.33333... hours
350 km at 70 km/h
distance = 350 km
time = (350 km)/(70 km/h) = 5 hours
200 km at 30 km/h
distance = 200 km
time = (200 km)/(30 km/h) = 6.6666... hour
total distance = 250 km + 350 km + 200 km = 800 km
total time = 3.33333... hours + 5 hours + 6.66666... hours = 15 hours
average speed = (total distance)/(total time)
average speed = (800 km)/(15 hours)
average speed = 53 1/3 km/h
The average speed of whole journey of the train is 45 km/hr
Average speed is the ratio of total distance travelled to total time taken. It is given by:
Average speed = total distance / total time
Given that a train travels 250 km with a average speed of 75 km/hr, hence:
75 = 250/time
time = 3.33 hours
It the travel 200 km with average speed of 30km/hr, hence:
30 = 200/time
time = 6.67 hours
The total distance = 200 km + 250 km = 450 km
The total time = 3.33 hr + 6.67 hr = 10 hours
Average speed = total distance/total time = 450 km/10 hours = 45 km/hr
The average speed of whole journey of the train is 45 km/hr
Find out more at: https://brainly.com/question/12322912
HELPPP MEEEE PL………zzzzzz
Answers
Answer:
VW=6
Step-by-step explanation:
UW=VW+UV
5x=(5x-4)+(2x)
5x= 7x-4
7x-5x=4
2x=4
x=4/2=2
VW=5x-4=5(2)-4=10-4=6
I hope I helped you^_^
Please help me on this assignment, I will brainly to the person with the correct answer!
Answers
Answer:
Step-by-step explanation:
I'm not sure if you have learned this yet, but using dimensional analysis (DA) for this problem makes everything so. much. easier! (I'll share a good video in the comments if you don't know what it is)
Okay, so we're given a 50,145 [tex]cm^{3}[/tex] statue, and we want to see how much it'll cost if it's $0.35 per kg, with a conversion factor of 2.6 [tex]g/cm^{3}[/tex].
First, with the conversion factor, I'll set up a dimensional analysis.
[tex]50,145 cm^{3} * \frac{2.6 g}{cm^{3} }[/tex]
cancel out the cm^3, and multiply the top two numbers. I used a calculator:
130377 g
We're not done yet! The question asks for how much it is in kg, not g. We could use D.A. , but g to kg is pretty easy. just put a decimal three paces in.
130.377 g = 130.377 kg
Now, either use D.A. to show your work, or just simply multiply.
130.377*0.35= $45.63
I think this is the right answer... Any questions, please comment!