Answer
1/4 × 6 × (5a) = 12
15a=12
a= 4/5
Step-by-step explanation:
The area of the triangle formed by points of intersection of parabola y=a(x-3)(x+2) with the coordinate axes is 10. The constant (a) of the function is 4.
How to find the if the parabola is open?The triangle formed by the parabola has a base equal to the distance between the points where the graph touches the x-axis and height (h) is the point where the graph touches the y-axis.
The points on the x-axis are the roots of the quadratic equation:
a(x-3)(x+2)=0
(x-3)(x+2)=0
x - 3 = 0
x = 3
or
x + 2 = 0
x = -2
So, the base is the distance between (-2,0) and (3,0).
Since they are in the same coordinate, the distance here;
b = 3 - (-2)
b = 5
The area of the triangle is 10. So
5a = 10 x 2
a = 4
The constant (a) of the function y = a(x-3)(x+2) is 4.
Learn more about parabola;
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How do you write 343% as a decimal?
Answer:
Im guessing its 3.43
Step-by-step explanation:
Hope this helps :)
Чx-5ч > 20
Please help me!!!!
Answer:
x > 14
Step-by-step explanation:
the answer is x > 14
Daniel works for 3 hours one day he gets paid $6 an hour. Build a visual that represents the word problem
Answer:
He earned $18
Step-by-step explanation:
So what you would do is draw a calendar and put Monday, Tuesday, Wednesday, Thursday, Friday, Saturday put any random year , month ,day . You can choose any three days you want to do. After you do that put $6 for each of the three days and above put 1 hour after that you're going to multiply 6 x 3 which is $18.
(PLEASE HELP ME I BEG OF YOU)
Kevin and cannot eat on $135 a month salary there any commission for each sale they make and the ratio of Kevin and Kenneth commission is 3:4 if they sell Products worth $610 each in March and Kevin Owens at 12% commission how much did each of them??
A. Kenneth makes $232.60
B. Kevin makes $208.20
C. Kevin makes $73.20
D. They both make $440.00
E. Kenneth makes $219.60
Answer:
I think the asnwer A or B !!
Step-by-step explanation:
what is the area of the shaded?
Answer:
A = 50.24m
hope it's helpful ❤❤❤❤❤
THANK YOU.
i need step by step help pls someone help me and quick!
Answer:
i would love to help but I can't see the whole problem. but going on a Hunch I would say you need to just multiply 45 by however much she's selling
Solve the system of linear equations by using the elimination method:
4x+ y = 36
8x- y = 60
Answer:
(8,4)
Step-by-step explanation:
y and -y cancels out leaving you with "12x=96"
that simplifies to "x=8"
Then you substitute 8 into the "x" from either equation and y should equal 4
can I get people that are actually willing to try instead of stealing points jeez.
Answer:
I think the length of ED should be 6
Give me 3 examples of a ratio
Answer:
2:4 like in a basketball game 2/4 like a fraction 2:4 like a competitive thing
Step-by-step explanation:
Given the equation 2x + 4 = 4x - 2, select the reasoning that correctly solves for x.
1) Add 2, subtract 2x, then divide by 2.
2) Add 2, subtract 4x, then divide by -2.
3) Subtract 4, subtract 2x, then divide by-2.
04) Subtract 4, subtract 4x, then divide by 2.
Answer:
04) Subtract 4, subtract 4x, then divide by 2.
Answer:
option A.
Step-by-step explanation:
2x + 2 + 4 = 4x - 2 + 2
2x - 2x + 6 = 4x - 2x
3 = x OR x = 3
a pair of shoes originally priced at $120 are on sale for 89.99 what percent discount was applied ?round to the nearest whole percent.
Answer:
25%
Step-by-step explanation:
Divide 89.99 or 90 (since you are rounding) by 120, and you get .7499 or 75%. You have 25% ($30) as the discount because 90 is 75% of $120.
16. In the figure below, lines A and B are parallel.
Answer:
the angle measurement is 75
Step-by-step explanation:
Plssss I need help this question is really hard to find and I need this back quickly pls help me :(
Answer:
A) $402,500
Step-by-step explanation:
69100-57600= 11,500
11,500 x 35= 402,500
What is y? Helppp thank you !
Answer:
y = 42
Step-by-step explanation:
Since QT is a midsegment then it is half of RS , that is
QT = [tex]\frac{1}{2}[/tex] RS, substitute values
y = [tex]\frac{1}{2}[/tex] (y + 42) ← multiply both sides by 2 to clear the fraction
2y = y + 42 ( subtract y from both sides )
y = 42
How to simplify 1/2
Somebody help meeeee
Step-by-step explanation:
1/2 cannot be simplified, however you can solve this question by shading in the other half of the left square, and taking away a shade on the right one :)
Answer:
ok you can not simplify 1/2 but you can make it a higher proportion basically, one square can be one shaded purple of of the two rectangles and the other could be 4 different squares with two shaded purple
Q.6. The equation of the ellipse whose centre is at the origin and the x-axis, the major axis, which passes
through the points (-3, 1) and (2,-2) is
(A) 5x2 + 3y =32 (B) 3r? + 5y = 32 (C) 5x° - 3y2 = 32 (D) 3x* + 5y? + 32 = 0
Equation of the ellipse = 3x² + 5y² = 32
Step-by-step explanation:Given:The centre of the ellipse is at the origin and the X axis is the major axisIt passes through the points (-3, 1) and (2, -2)To Find:The equation of the ellipseSolution:The equation of an ellipse is given by,
[tex]\sf \dfrac{x^2}{a^2} +\dfrac{y^2}{b^2} =1[/tex]
Given that the ellipse passes through the point (-3, 1)
Hence,
[tex]\sf \dfrac{(-3)^2}{a^2} +\dfrac{1^2}{b^2} =1[/tex]
Cross multiplying we get,
9b² + a² = 1 ²× a²b²a²b² = 9b² + a²Multiply by 4 on both sides,
4a²b² = 36b² + 4a²------(1)Also by given the ellipse passes through the point (2, -2)
Substituting this,
[tex]\sf \dfrac{2^2}{a^2} +\dfrac{(-2)^2}{b^2} =1[/tex]
Cross multiply,
4b² + 4a² = 1 × a²b²a²b² = 4b² + 4a²-------(2)Subtracting equations 2 and 1,
3a²b² = 32b²3a² = 32a² = 32/3----(3)Substituting in 2,
32/3 × b² = 4b² + 4 × 32/332/3 b² = 4b² + 128/332/3 b² = (12b² + 128)/332b² = 12b² + 12820b² = 128b² = 128/20 = 32/5Substituting the values in the equation for ellipse,
[tex]\sf \dfrac{x^2}{32/3} +\dfrac{y^2}{32/5} =1[/tex]
[tex]\sf \dfrac{3x^2}{32} +\dfrac{5y^2}{32} =1[/tex]
Multiplying whole equation by 32 we get,
3x² + 5y² = 32
Hence equation of the ellipse is 3x² + 5y² = 32What is the difference of the rational expressions below? 3x/x+1 minus 5/x
Answer:
B
Step-by-step explanation:
[tex]\frac{3x}{x+1} -\frac{5}{x}\\Formula=\frac{a}{b} -\frac{c}{d} =\frac{ad-bc}{bd}\\\\\frac{(3x)(x)-(x+1)(5)}{(x+1)(x)} \\\frac{3x^{2}-(5x+5) }{x^{2} +x}\\\frac{3x^{2}-5x-5}{x^{2} +x}[/tex]
Find the value of x when 6 - 4x = 7X-9x - 4.
The value of x is ..
Answer:
Step-by-step explanation:
90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you
Solve 5n +3>27
sorry I’m not the best at maths so simple stuff like this makes my brain buffer
Sidney skated for 1 1/10 hours last month and 8 7/10 hours this month. How many
hours did Sidney skate in all?
Answer:
the number of hours does sidney skate in all is 9.8 hours
Step-by-step explanation:
The computation of the number of hours does sidney skate in all is as follows:
= Last month + this month
[tex]= 1 \frac{1}{10} + 8 \frac{7}{10}\\\\= \frac{11}{10} + \frac{87}{10}\\\\= \frac{98}{10}[/tex]
= 9.8 hours
Hence, the number of hours does sidney skate in all is 9.8 hours
what is the inequality of 2.2m < 11
Answer:
m<5
Step-by-step explanation:
Answer:
m < 5
Step-by-step explanation:
8=−2/5c
Help me
I’m single ready to mingle
Answer:
-20
Step-by-step explanation:
First, you divide both sides by -2/5, which would get you c = 8 * -5/2 (Because when you divide, you multiply by the reciprocal). 8 * -5/2 is equal to -20. The answer is -20.
Together, teammates Pedro and Ricky got 2674 base hits last season. Pedro had 284 more hits than Ricky. How many hits did each player have?
x-3y=7
2х-6у=12
Solve the following systems
Answer:
Step-by-step explanation:
this system doesnt have any solutions
if you multiply the first equation by 2 you will get
2x-6y=14
second equation is
2x-6y=12
the result will -12=14
no solutions
Help please will mark brainlist!!!
Answer:
radius was given
V=1570 ft cubed
Step-by-step explanation:
Volume of a cylinder= 3.14(r^2)h
=3.14(10^2)5
=15.7(100)
=1570
The price of an item at the store can be defined by the variable h. Based on this information, which of the options below represents a markup in price for that item? Select all that apply.
A) 1.05h
B) 1.15h
C) 1.03h
D) 0.95h
E) 0.8h
please help this is the last question i have, at least for now :(
Answer:
i just took the test the answer is A,B and C.
Step-by-step explanation:
Answer:
ABC
Step-by-step explanation:
ill give brainiest and 30 points
Answer:
50 feet
Step-by-step explanation:
According to the Pythagorean theorem a^2+b^2=c^2 and if you put it into this equation it is 30^2 + 40^2 =50^2 which does work out
I dont feel like typeing right now (its 50 )So here's my answer.
Simplify (a+b)(a^2-ab+b^2)
Answer: a^3 - b^3
Step-by-step explanation:
Type the missing number in this sequence:
1, 2, 5, 10, , 26, 37, 50
There are five 6-inch sticks and five 10-inch sticks. These sticks can be attached end-to-end to make longer sticks. For example, you can take two 6-inch sticks and one 10-inch stick to make a 22-inch stick (6 + 6 + 10 = 22).How many different lengths of stick can be made out of at least one of the sticks?