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;
https://brainly.com/question/4074088
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NEED HELP NOW! 5 questions, 76 points!
1.
Given points B(−12,2), T(−8,10), A(−7,12), F(−6,10), and G(−2,2), which of the following proves that △BAG~△TAF?
2.
Given points A(2,1), B(1,4), C(−1,10), D(8,13), and E(4,5), which of the following proves that △ABE~△ACD?
Answers:
By the Distance Formula,AB=310‾‾‾√,AC=10‾‾‾√, AE=65‾√, and AD=25‾√. Since, ABAC=AEAD=13, and ∠A≅∠A by the Reflexive Property, △ABE∼△ACD by SAS ∼.
By the Distance Formula,AB=310‾‾‾√,AC=10‾‾‾√, AE=65‾√, and AD=25‾√. Since, ABAC=AEAD=13, and ∠A≅∠A by the Reflexive Property, △ABE∼△ACD by SSS ∼.
By the Distance Formula,AB=10‾‾‾√,AC=310‾‾‾√, AE=25‾√, and AD=65‾√. Since, ABAC=AEAD=13, and ∠A≅∠A by the Reflexive Property, △ABE∼△ACD by SSS ∼.
By the Distance Formula,AB=10‾‾‾√,AC=310‾‾‾√, AE=25‾√, and AD=65‾√. Since, ABAC=AEAD=13, and ∠A≅∠A by the Reflexive Property, △ABE∼△ACD by SAS ∼.
3.
Given points M(1,2), N(4,4), P(5,−1), J(−7,−1), K(−1,3), and L(1,−7), which of the following proves that △MNP≈△JKL?
Answers:
By the Distance Formula,MN=13‾‾‾√,NP=26‾‾‾√, and PM=5.Also, JK=213‾‾‾√,KL=226‾‾‾√, and LJ=10.Therefore, MNJK=NPKL=PMLJ=12, andtherefore, △MNP∼△JKL by SAS ∼.
By the Distance Formula,MN=13‾‾‾√,NP=26‾‾‾√, and PM=5.Also, JK=213‾‾‾√,KL=226‾‾‾√, and LJ=10.Therefore, MNJK=NPKL=PMLJ=12, andtherefore, △MNP∼△JKL by SSS ∼.
By the Distance Formula,MN=13,NP=26, and PM=25.Also, JK=52,KL=104, and LJ=100.Therefore, MNJK=NPKL=PMLJ=14, andtherefore, △MNP∼△JKL by SSS ∼.
By the Distance Formula,MN=13,NP=26, and PM=25.Also, JK=52,KL=104, and LJ=100.Therefore, MNJK=NPKL=PMLJ=14, andtherefore, △MNP∼△JKL by SAS ∼.
4.
Given points M(−5,5), R(−2,6), I(−2,4), B(2,−2), A(8,0), and G(8,−4), which of the following proves that △MRI~△BAG?
Answers:
By the Distance Formula,MR=10‾‾‾√,RI=2, and IM=10‾‾‾√.Also, BA=210‾‾‾√,AG=4, and GB=210‾‾‾√.Therefore, MRBA=RIAG=IMGB=10√210√=12,and therefore, △MRI~△BAG by SSS ~.
By the Distance Formula,MR=10,RI=2, and IM=10.Also, BA=40,AG=8, and GB=40.Therefore, MRBA=RIAG=IMGB=1040=14,and therefore, △MRI∼△BAG by SSS ∼.
By the Distance Formula,MR=2,RI=10, and IM=10.Also, BA=8,AG=40, and GB=40.Therefore, MRBA=RIAG=IMGB=1040=14,and therefore, △MRI∼△BAG by SAS ∼.
By the Distance Formula,MR=10‾‾‾√,RI=2, and IM=10‾‾‾√.Also, BA=210‾‾‾√,AG=4, and GB=210‾‾‾√.Therefore, MRBA=RIAG=IMGB=10√210√=12,and therefore, △MRI∼△BAG by SAS ∼.
5.
Given points L(−2,−2), A(−6,−3), U(−14,−5), X(4,−5), and P(0,−3), which of the following proves that △XUL~△PAL?
By the Distance Formula,LX=317‾‾‾√,PL=17‾‾‾√, LA=5‾√, and LU=35‾√. Since, LXPL=LULA=31=3, and ∠L≅∠L by the Reflexive Property, △XUL∼△PAL by SSS ∼.
By the Distance Formula,LX=35‾√,PL=5‾√, LA=17‾‾‾√, and LU=317‾‾‾√. Since, LXPL=LULA=31=3, and ∠L≅∠L by the Reflexive Property, △XUL∼△PAL by SAS ∼.
By the Distance Formula,LX=35‾√,PL=5‾√, LA=17‾‾‾√, and LU=317‾‾‾√. Since, LXPL=LULA=31=3, and ∠L≅∠L by the Reflexive Property, △XUL∼△PAL by SSS ∼.
By the Distance Formula,LX=317‾‾‾√,PL=17‾‾‾√, LA=5‾√, and LU=35‾√. Since, LXPL=LULA=31=3, and ∠L≅∠L by the Reflexive Property, △XUL∼△PAL by SAS ∼.
Answer:
Q1: 5, 5 SAS
Step-by-step explanation:
Q2: 10 sas
Q3:13 sss
Q4: 10 sss
Q5: 35 sas
Someone please please help me ASAP
Answer:
1. 9x
2. 10m
3. 10x
4. x+10
5. t+8
6. 5+3m
7. 12.4x
8. 2x+8
9. 113n
10. 7x+8y
Step-by-step explanation:
Use synthetic division
1.
(2x3 - 5x2 + 3x + 7) = (x - 2)
Answer:
Step-by-step explanation: that should help
x = 10 - y
3x - 2 = y
Using the two equations above, solve for y.
The Options
A. y = 4
B. y = 7
C. y = 13
D. y = 14
Solve: k = -45 ÷ (-15).
GIVING BRAINLIST!!!
Answer: k - 3
Step-by-step explanation:
i just used the rules for division, and removed the parentheses.
k = 45 / 15
once i got to here, i just did simple division. :)
k = 3
HELPPPPPP pls give explaiantikn or work pls pls pls pls brainliest
Answer:
Elizabeth had 30 stamps originally.
Step-by-step explanation:
Let,
x be the number of stamps Elizabeth have.
Number of stamps given to John = 1/6 of x = [tex]\frac{1}{6}x[/tex]
Remaining stamps = [tex]x-\frac{1}{6}x = \frac{6x-1x}{6} = \frac{5}{6}x[/tex]
Stamps given to Peter = 1/5 of remainder = [tex]\frac{1}{5}*\frac{5}{6}x = \frac{1}{6}x[/tex]
Number of stamps left = 20
Now,
[tex]\frac{1}{6}x + \frac{1}{6}x + 20 = x\\\\\frac{1x+1x+120}{6} = x\\\\\frac{2x+120}{6} = x\\\\2x + 120 = 6x \\\\120 = 6x - 2x \\\\120 = 4x \\4x = 120[/tex]
Dividing both sides by 4
[tex]\frac{4x}{4}=\frac{120}{4}\\x=30[/tex]
Hence,
Elizabeth had 30 stamps originally.
What is the value of x (x+35) (3x+1)
Answer:
=3x2+106x+35
Step-by-step explanation:
What your favorite movie? also what is 144/6
Answer:
144/6 is 24 and my fav movie is coraline
Step-by-step explanation:
Kelly has $4000 in her bank account. She is withdrawing $80 per month to pay off a loan. Dylan has only $1500 in his
bank account but is saving $60 per month. After how many months will Dylan’s account have more money than Kelly?
https://files-cdn.schoology.com/eff1043385e13ac014eaf6e69f84525b?content-type=app
Answer:
srry i need points
Step-by-step explanation:
Answer:k
Step-by-step explanation:
k
please help will mark brainliest to rank you up
a baker is making bread dough. He uses 4 cups of flour every 3 ounces of water. How many ounces of water will he use if he uses 96 cups of flour
Answer:
72 ounces of water
Step-by-step explanation:
96 divided by 4 = 24
24 x 3 = 72
For the following graphed line, what are the slope and y-intercept
Answer:
3,5
Step-by-step explanation:
I don't really know about hope this help
slope = 3/4 ; (2,2) Identify the slope intercept form for the line with the given slope that contains the given point.
Answer:
y=3/4x+1/2
Step-by-step explanation:
y-y1=m(x-x1)
y-2=3/4(x-2)
y-2=3/4x-3/2
y=3/4x+1/2
Factor 2x2 - 6x + 4 completely.
Answer:
2(x - 1)(x - 2)
Step-by-step explanation:
2x^2 - 6x + 4
= 2(x^2 - 3x + 2)
= 2(x - 1)(x - 2)
Which inequality is equivalent to 4x-2y≤8?
A. y≤-2x-4
B. y≥2x-4
C. y≤2x-4
D. y≥-2x-4
Describe fully the transformation that:
a) Maps B onto A
b) Maps A onto B
Answer:
i think its maps b onto a
Step-by-step explanation:
yan kasi answer ko nun
PLEASE HELP ITS DUE TODAY!!
Answer:
a.) 0.671
b.) 0.985
c.) 0.137
Step-by-step explanation:
Ok..this is easy when you do it a specific way....
a.)
You can easily do 5 - 4.329 and it will give you 0.671.
Now you can do 5 - 0.671 and it will give you the answer as 4.329.
And you got your answer.
The missing value for equation a = 0.671.
b.)
You can easily do 1 - 0.015 and it will give you 0.985.
Now you can do 1 - 0.985 and it will give you the answer as 0.015.
And you got your answer.
The missing vaule for equation b = 0.985.
c.)
You can easily do 1 - 0.863 and it will give you 0.137.
Now you can do 1 - 0.137 and it will give you the answer as 0.863.
And you got your answer.
The missing value for equation c = 0.137
All you have to do is subtract the first number they gave you (the top one), with the actual answer the give you (at the bottom)
Hope this helped!
Have a supercalifragilisticexpialidocious day!
The coffee shop on the corner of the street has 14 cheese croissants and 21 plain croissants. If
buy 1 cheese croissant will the ratio of each cheese croissant to plain croissant remain the
same? Explain your answer."
Plss helpppp
help i cannot write proportions
Answer:
example 4:2
Step-by-step explanation:
A proportion shows how many parts of one side equals the other. For every four times i kick a soccer ball, I make it in twice. For every 8 times, I make it in 4.
Identify the constant of
proportionality for the
table below.
Answer:
7
Step-by-step explanation:
teachers surveyed the sixth grade students to determine which elective they wanted to take during their seventh grade year. The options were art, music or drama. 60 students voted for art, 42 students voted for music, and 58 students voted for drama. What percent of students voted to take art as their elective in the seventh grade?
Please show your work on how you got the answer. I'm struggling
Answer:
37.5%
Step-by-step explanation:
Total = 60+42+58 = 160
(60/160)*100 = 37.5%
4. A bag of rice at the warehouse store weighs
15 pounds. Maya needs to buy rice for her
restaurant. Write an equation that can be
used to find the pounds of rice, p, in any
number of bags of rice, r.
Will mark brainliest for whoever answers
Answer:
yam po sagot pa brainliest
What does 2 to the power of 8 equal?
Answer:
2^8 is equal to 256
Step-by-step explanation:
7 1 1 7 1 41
Mode ??
Median ??
Answer:
Mode is 1, Mean is 3.1 if the '41" is 1 and 4
Step-by-step explanation:
Which plot event typically concludes the setup section of the plot?
the resolution
the denouement
the climax
the inciting incident
Answer:
the inciting incident
Step-by-step explanation:
x + 2x + 3 + 3 = 3(x + 2)
Answer:
x = 3
Step-by-step explanation:
cuz x + 2x + 3 + 3 = 3(x+2)
replace x with 3
3 + 2(3) + 3 + 3 = 3(3+2)
3 + 2(3) = 9 + 3 = 12 + 3 = 15
3(3+2) = 15
Pls can i be brainliest...
Answer:
Step-by-step explanation:
x + 2x + 3 + 3 = 3(x + 2)
Do the distributive property
x + 2x + 3 + 3 = 3 * x + 3 * 2
x + 2x + 3 + 3 = 3x + 6
Combine like terms
3x + 6 = 3x + 6
Subtract 6 on both sides
3x + 6 - 6 = 3x + 6 - 6
3x = 3x
As you can see, they are the same...which means
Any value of x makes the equation true. All real numbers
1, 2, 3 , 4 etc
Any value u put into the equation to represent "x" will be true...
EX:
3x = 3x
( if x were 7 we substitute that)
3(7) = 3 (7)
21 = 21 CORRECT
They will be the same answer/ have the same value.
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Jane multiplies her number by three and subtracts 2.
Elliot multiplies his number by 2 and adds 3.
When they multiply their results together, the product is 110.
They both chose the same number to start with. What was their number?
Answer:
Let the number they chose be 'x'.
Result of Jane = [tex]3x -2[/tex]
Result of Elliot = [tex]2x+3[/tex]
Given that,
The product of their result = 110
[tex]or, (3x-2)(2x+3) = 110\\or, 6x^{2} +9x-4x-6 = 110\\or, 6x^{2} +5x - 6 = 110\\or, 6x^{2} +5x - 6-110 = 0\\\\or, 6x^{2} +5x - 116 = 0\\or, 6x^{2} +29x - 24x - 116 = 0\\or, x (6x +29) -4(6x+29) = 0\\or, (x-4)(6x+29) = 0\\i.e. x=4 or x=\frac{-29}{6} \\So,~ the ~number ~they~ chose~was ~either ~4 ~or ~\frac{-29}{6}[/tex]
When we say we are going to distribute a
factol using the distributive
property, what operation are we using?
Answer: Multiplication and addition
Step-by-step explanation: Hope this helps