Answer:
No solution
Step-by-step explanation:
There are no values of x that make the equation true.
Brainly pls?
Answer:
No, it's not equivalent to it.
Step-by-step explanation:
[tex]( - 2 + x) - (3x - 8) = - 2 + x - 3x + 8 \\ = 6 - 2x = - 2x + 6[/tex]
Any point on the parabola can be labeled (x,y) as shown.
1. What are the distances from the point (x,y)(x,y) to the focus of the parabola and the directrix?
Select two answers.
distance to the focus: √(x+3)2+(y−3)2
distance to the directrix: |y−4|
distance to the directrix: |x−4|
distance to the focus: √(x−2)2+(y+3)2
distance to the focus: √(x+3)2+(y−2)2
distance to the directrix: |y+4|
2. What is the correct standard form of the equation of the parabola?
Answer:
Part A)
2nd and 5th choice.
Part B)
[tex]\displaystyle y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{3}{4}[/tex]
Step-by-step explanation:
For the given parabola, our focus is (-3, 2), and our directrix is given by y = 4.
Part A)
We are given a point (x, y) on the parabola.
Since our directrix is an equation of y, the distance from (x, y) to the directrix will simply be the absolute value of the difference in y-values. So:
[tex]d_1=|y-4|=|4-y|[/tex]
Recall the distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
Our distance from (x, y) to the focus (-3, 2) can be determined using the distance formula. Let (x, y) be (x₂, y₂) and let our focus (-3, 2) be (x₁, y₁). Therefore:
[tex]d_2=\sqrt{(x-(-3))^2+(y-2)^2}=\sqrt{(x+3)^2+(y-2)^2[/tex]
Hence, for Part A, our answers are the 2nd and 5th choices.
Part B)
Recall that by the definition of a parabola, any point (x, y) on it is equidistant to the directrix and focus. Hence:
[tex]\sqrt{(x+3)^2+(y-2)^2}=|y-4|[/tex]
Solve for y. Square both sides. We may remove the absolute value since anything squared is positive:
[tex](x+3)^2+(y-2)^2=(y-4)^2[/tex]
Square:
[tex]x^2+6x+9+y^2-4y+4=y^2-8y+16[/tex]
Rearrange:
[tex](x^2+6x+13)+(-16)=(y^2-y^2)+(-8y+4y)[/tex]
Combine like terms:
[tex]x^2+6x-3=-4y[/tex]
Divide both sides by -4. Hence, our equation is:
[tex]\displaystyle y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{3}{4}[/tex]
Heyo! :D
Distance to the directrix is |y - 4|.
Distance to the focus is [tex]\sqrt{(x+3)^2+(y-2)^2}[/tex].
Hope this helps! If so, please lmk! Tysm and good luck!
I REALLY NEED HELP ON THIS!!!!!! I WILL MARK BRAINLIEST
Answer:
y = 2,500x + 5,000
Rate of change = $2500 a year
Initial value = $5000
Step-by-step explanation:
We have 3 values to figure what is the function here, the rate of change, and the initial value.
To find the initial value, find where y is located where x is 0. In this case it's $5000, so that's the initial value.
Now the rate of change. Find y where x is 1. That is $7,500. Subtract $5000 from to get the rate of change, since it's the same. It's constant because of a straight diagonal line.
$7,500 - $5,000 = +$2,500/year
Now the equation. This is not proportional, because y's starting point is not 0. It's greater than that, so an addition sign is in the equation. Do you remember our initial value? That's right! It was $5,000, so put that after the addition sign.
y = ????x + 5,000
You also need to remember the rate of change, which was 2,500. Put that on the left of the addition sign and there's your equation!
y = 2,500x + 5,000
Answer:
y=2500x + 5000
2500
5000
Step-by-step explanation:
In a grid of an auditorium, the vertices of a section of seats are A(40, 20) , B(80, 20) , C(100, 70) , and D(40, 70) . The coordinates are measured in feet. Find the area of the section.
Answer:
[tex]Area = 2900[/tex]
Step-by-step explanation:
Given
[tex]A (x_1,y_1) = (40,20)[/tex]
[tex]B (x_2,y_2) = (80,20)[/tex]
[tex]C (x_3,y_3) = (100,70)[/tex]
[tex]D (x_4,y_4) = (40,70)[/tex]
Required
Determine the Area
The area of the section is:
[tex]Area = \frac{1}{2}|(x_1y_2 + x_2y_3 + x_3y_4 + x_4y_1) - (y_1x_2 + y_2x_3 + y_3x_4 + y_4x_1)|[/tex]
Substitute values for the x's and y's
[tex]Area = \frac{1}{2}|(40 * 20 + 80*70 + 100*70 + 40*40) - (20*80 + 20*100 + 70*40 + 70*40)|[/tex]
[tex]Area = \frac{1}{2}|15000 - 9200|[/tex]
[tex]Area = \frac{1}{2}|5800|[/tex]
[tex]Area = \frac{1}{2} * 5800[/tex]
[tex]Area = 2900[/tex]
Hence, the area of the section is 2900ft^2
NEED HELP PLZ!!!!!!!!!!!!!
Answer:
1st Option is correct
Step-by-step explanation:
Just keep adding 150 to see the results
Your friend has $80 when he goes to the fair. He spends $4 to enter the fair and $12 on food. Rides at the fair cost $1 25 per ride. Which function can be used to determine how much money he has left over after x rides?
Answer:
80m - (12+4) = x
Step-by-step explanation:
Hope this helps! I mean its self explanatory
Answer:
$38.75
Step-by-step explanation:
We can add up the amount he spent before he started riding and we'll get $16. Subtract 16 from 80 which is 64. $64 dollars divided by $1.25 would be 51.2. We round down because he can't ride more then 50 rides. He would be able to ride 51 rides with the money he has. Let's say he rode 20 rides and then left the fair. We would subtract 20 from 51 and get 31. After that we would multiply 31 by 1.25 and get $38.75. So he would have $38.75 dollars after he left the fair.
Help plsssss I will mark as brainlest if correct
Replace x with a couple of numbers, solve for Y them mark those points on the graph and connect with a line.
See picture:
To figure out a special number, Tammi’s mother was supposed to double her age and then add 4. Instead, Tammi’s mother added 4 to her age and then doubled that number. Tammi’s mother thought the special number was 80. What was the special number supposed to be?
Answer:
86
Step-by-step explanation:
36 + 4 = 40 x 2 =80
36 x 2 = 82 = 4 - 86
Hope it helps!
The special number was supposed to be; 76
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
For age 'a', the special number was
2a +4
Tammi's mother actually calculated it as;
2(a +4) = 2a +8
Now a value that is (2a+8) -(2a+4) = 4 more than it was supposed to be.
The special number was supposed to be;
80 -4 = 76.
Learn more about equations here;
https://brainly.com/question/25180086
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The Point ( 5 , − 2 ) is translated to the left 3 units. What are the new coordinates? (8, −2) (8, −2) (5, 1) (5, 1) (5, −5 (5, −5 (2, −2) (2, −2)
Answer:
Its (5 , 1 )
Step-by-step explanation:
because it is
Answer:
(2,-2) because the x axis goes from right to left and the y axis goes up and down
Step-by-step explanation:
Represent the following expression with a single rational number.
-2 ⅖ + 3 ¼ - ⅗
HELP ME PLS
Answer:
1/4
Step-by-step explanation:
-2 2/5 + 3 1/4 - 3/5
-12/5 + 13/4 - 3/5 =
1/4
The extra data costs are $20.99 monthly but they're offering 20% off that. What will my monthly cost be with the 20% off?
Answer:
Discounted price= $16.792
Step-by-step explanation:
Giving the following information:
The extra data costs are $20.99 monthly, but they're offering 20% off that.
To calculate the discounted price, we need to use the following formula:
Discounted price= normal price*(1 - discount rate)
Discounted price= 20.99*0.8
Discounted price= $16.792
A box of chocolates contains five milk chocolates, five dark chocolates, and five white chocolates. You randomly select and eat three chocolates. The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate. Is it independent or dependen?
The first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate independent and the probability is 25/546.
What is probability ?Probability of something is the occurrence of a certain event out of the total events that can occur.
According to the given question
The total no. of chocolates in the box is
(5 + 5+ 5) = 15 chocolates.
The probability of eating a milk chocolate first a dark chocolate second and a white chocolate third is an independent event because occurrence of next event do not depend upon the previous event.
There are 5 milk chocolates.
So, probability of getting a milk chocolate first is
P(mc) = 5/15
= 1/3
Now the the chocolate can no be replaced because it is eaten
∴ Probability of getting a dark chocolate second is
P(dc) = 5/14 (as the total no. of chocolate is reduced by 1
because it has been eaten)
And the probability of getting a white chocolate in 3rd attempt is
P(wc) = 5/13
As the first piece is milk chocolate, the second is dark chocolate, and the third is white chocolate is an independent event their probability is
P(mc) ∩ P(dc) ∩ P(wc)
= P(mc) × P(dc) × P(wc)
= (1/3 × 5/14 × 5/13)
= 25/546.
Learn more about Probability here :
https://brainly.com/question/11234923
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I need help again with this last problem.
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
[tex] |12| + | - 15| = [/tex]
[tex]12 - ( - 15) = [/tex]
[tex]12 + 15 = [/tex]
[tex]27[/tex]
Thus the correct answer is the last option .
❤❤❤❤❤❤❤❤❤❤❤❤❤❤❤
Answer:
[tex] \boxed {27}[/tex]
Step-by-step explanation:
All negative numbers in the absolute sign will become positive.
[tex] |a| = a \: \: \: \: \: \: \: (a \geqslant 0) \\ |a| = - a \: \: \: \: \: \: (a < 0)[/tex]
Therefore we evaluate | - 15 | = 15
[tex]12 + 15 = \red {27}[/tex]
Write a parallel lines and perpendicular lines in the given figure .
Answer:
parrallel lines : p and q, a and b,j and k | perpendicular lines : p and a, q and a, p and b, q and b
Step-by-step explanation:
Parallel lines are lines that can go on and on forever, and never meet !
Perpendicular lines are two lines meet at a 90° angle,, to form a right angle !
Please help I’m so confused ;(
Answer:
Step-by-step explanation:
42 slices from 3 cakes = 84 slices from____ cakes
6 Cakes man 6 cakes 42*2 3*2
Answer:
42 slices from 3 cakes = 84 slices from 6 cakesStep-by-step explanation:
Let the unknown value be x
[tex]42 = 3\\84 =x\\\\[/tex]
Cross Multiply
[tex]42\times x = 84\times 3\\\\42x = 252[/tex]
Divide both sides of the equation by 42
[tex]\frac{42x}{42} = \frac{252}{42} \\\\Simplify\\\\x =6[/tex]
Brandon has a collection of 400 marbles. Of these marbles, 15% are red, 40% are blue, and the rest are purple. How many marbles in Brandon's collection are purple?
Answer:180
Step-by-step explanation:
Since 15% of 400=60 and 40%=160 the total of this combined is 220. 400-220=180 which is the amount of purple marbles
Help me!! ASAP!! Plss just help me :( I will give u BRAINLYEST!!
Come up with a real world situation that would involve finding the area of a circle.
I need help it really hard
Answer:
ΔPQR and ΔSTU are not similar.
Step-by-step explanation:
The two triangles look distinguishable from each other.
10/4 = a/6
What does "a" equal?
Answer:
15
Step-by-step explanation:
10/4 simplified is
5/2 multiply this by 3
15/6
Step-by-step explanation:
I suggest you to use calculator for this to avoid careless mistakes
Hope this is correct and helpful
HAVE A GOOD DAY!
Refer to the diagram shown.
Answer:
60º
Step-by-step explanation:
write the equation of the line that is parallel to the line 2x + 5y= 15 and passes through the point (-10, 1)
Answer:
y = (2/5)x -1
Step-by-step explanation:
Answer:y is (2/5) x minus 1
Step-by-step explanation:
A sandwich store chargers a $10 delivery fee, and $4.50 for each sandwich.
what is the total cost (sandwiches and delivery charge) if an office orders 6 sandwiches.
Formula (y=mx+b)
Answer:
$37
Step-by-step explanation:
Delivery fee- $10
each sandwich- $4.50
Sandwiches ordered- 6
4.50(6)+10=37
Does anyone knows how to do Algerba II I really need helppp!!! Can someone please help me
Answer:
I know algebra ll
i can help :D
Step-by-step explanation:
what is 6x to the 3rd power divided by (2x to the 4th power) to the 2nd power
Answer:
I’m pretty sure it’s just 3x^2
Step-by-step explanation:
6x^3/2x^4= 3x^-1
(3x^-1)2= 3x^2
13 m
6 m
8 m
✓
7 m
What is the perimeter and the area?
Answer:
4368 m
Step-by-step explanation:
13x6x8x7=4368
What is the Midpoint of segment BC with B(-9, -4) and C(-3, 5)?
Answer:
(-6,0.5)
Step-by-step explanation:
(-9 + -3)÷2= -6
(-4 + 5)÷2=0.5
(-6,0.5)
rearrange y=4-3x/x-5 to make x the subject
Answer:
x = [tex]\frac{4+5y}{y+3}[/tex]
Step-by-step explanation:
Given
y = [tex]\frac{4-3x}{x-5}[/tex] ( multiply both sides by x - 5
y(x - 5) = 4 - 3x ( distribute left side )
xy - 5y = 4 - 3x ( add 3x to both sides )
xy + 3x - 5y = 4 ( add 5y to both sides )
xy + 3x = 4 + 5y ← factor out x from each term on the left side
x(y + 3) = 4 + 5y ← divide both sides by y + 3
x = [tex]\frac{4+5y}{y+3}[/tex]
A holiday decoration involves blue and white lights.The ratio of blue lights to white lights is 3 to 2 . The box the decoration came in stated that the number of blue lights was 114 but didn't give the number of white lights or the total number of lights.
Answer:
a. 76 b. 190
Step-by-step explanation:
a. Number of white lights
Since the ratio of blue lights to white lights is 3 to 2 and the number of blue lights is 114, it follows that 3 : 2 = 114 : x where x is the number of white lights.
So, 3/2 = 114/x
cross-multiplying,
3x = 114 × 2
3x = 228
x = 228/3
x = 76
b. Total number of lights
So, the total number of lights is thus number of blue lights + number of white lights = 114 + 76 = 190
Sara has already saved $6. She earns $3 per hour. She needs a minimum of $94 to buy her new bike. What is the minimum number of hours she must work?
Answer:
30
Step-by-step explanation:
3 times 30 = 90 - 2(for the six she already had) so 30
i think
help me pleasee i dont know how to do thiss
Step-by-step explanation:
Since UV bisects TW, TW also bisects UV.
=> Line segments UV and TW bisect each other.
=> 4y - 3 = 2y + 1 and 3x + 8 = 3y + 2
=> 2y = 4 and 3x = 3y - 6
=> y = 2 and x = y - 2
=> y = 2 and x = (2) - 2
=> y = 2 and x = 0.
Answer:
y= 181/7 or 25.86
i really dont know about x
