Answer:
y-6=-6(x-1)
Step-by-step explanation:
Hope this helps :D
have a nice thanksgiving
Answer:
[tex]y-6=-6(x-1)[/tex]
Step-by-step explanation:
A point-slope equation requires two values in order to write it: one coordinate and the slope.
First, find the slope between the two given points. To find the slope, you would subtract the first Y from the second Y and the first X from the second X. Y goes on top of the fraction bar, making the equation look like this:
[tex]\frac{6-(-6)}{1-3}[/tex]
Then, simplify the slope equation:
[tex]\frac{6-(-6)}{1-3} = \frac{6+6}{1-3} = \frac{12}{-2} = -6[/tex]
The slope is -6.
Finally, choose one of the coordinates. For this, I'll pick (1, 6).
The point-slope equation is [tex]y-y_{1} =m(x-x_{1})[/tex]
So, simply fill in the [tex]m[/tex], [tex]y_{1}[/tex] , and [tex]x_{1}[/tex] spots with the value we have found.
[tex]m[/tex] is the slope, so replace it with -6.
[tex]y_{1}[/tex] = 6
[tex]x_{1}[/tex] = 1
Final answer:
[tex]y-6=-6(x-1)[/tex]
What is the solution to this system of linear equations?
y − x = 6
y + x = −10
A. (−2, −8)
B. (−8, −2)
C. (6, −10)
D. (−10, 6)
Thank you if you can help me!
PLEASE HELP ILL GIVE BRAINLIEST!!!!
Answer:
The first one is x=45
The second one is w=14
The third one is x=6
Step-by-step explanation:
Molly is getting an early start on holiday shopping! She has $55.00 to spend on gifts. She first buys her mom a sweater for 17.50. She then found matching bracelets for her friends that cost $7.50 each. How many bracelets did she buy?
a) Write a let statement below to define your variable(s): *
b) Set up an equation using the variable you defined in (a): *
c) Solve your equation & Check. How many bracelets did Molly buy? JUST TYPE THE NUMBER. EXAMPLE: IF she bough 17 bracelets JUST TYPE "17" *
d) Upload a picture of your SOLUTION & CHECK. *
Plz help me anyone oi need help
Answer:
5
Step-by-step explanation:
55$-17.50=37.5
37.5/7.5=5
What is the quotient of -3/8 And -1/3?
Answer:
Actually, I didn't get your question, is it -3/8÷ -1/3 or -1/3÷ -3/8?
If it is -3/8÷ -1/3, the answer will be 9/8
But if is -1/3÷ -3/8, the answer will be 8/9
Step-by-step explanation:
-3/8÷ -1/3
= -3/8× 3/-1
= -9/-8
= 9/8
If your question is -1/3÷ -3/8, the answer is 8/9 in the same way.
9 3/4 as a percent step by step
Answer:
9 3/4 in a percent is 975%.
If you change 9 3/4 into a decimal, it will be 9.75, and 9.75 converted into a percent is 975%
Use the given information to write the equation of the parabola.
Vertex: [tex](0,0)[/tex]
Focus: [tex](0,-\dfrac{1}{2})[/tex]
Answer:
x² = -2y
Step-by-step explanation:
The focus is p away from the vertex, and so is the directrix.
To find the equation of the parabola, we must first determine if the parabola is horizontal or vertical.
Horizontal parabola [Standard form]: (y – k)² = 4p(x – h)Vertical parabola [Standard form]: (x – h)² = 4p(y – k)If the parabola is vertical, the directrix, and focus will have the same x value but different y value compared to the vertex (h, k). You can also tell if the directrix in in the form y = k – p, and if the focus is in the form (h, k + p).
Likewise, if the parabola is horizontal, the directrix, and focus will have the same y value but different x value compared to the vertex (h,k) . You can also tell if the directrix is in the form x = h – p, and if the focus is in the form (h + p, k).
For this problem, given that the vertex is at the origin (0,0), and that the focus is at the point (0, -½).
You can tell that the x value is the same for the vertex, and focus so this must be a vertical parabola. Because this is a vertical parabola, we can use the form mentioned as earlier (x – h)² = 4p(y – k).
If h = 0, and k = 0, the p value must be the difference between the k of the vertex, and the k of the focus: -½ - 0 → -½.
Now we can just plug in our known information to derive the equation!
h = 0, k = 0, p = -½ → (x - h)² = 4p(y - k) →
(x - 0)² = 4(-½)(y - 0) → x² = -2(y - 0) →
x² = -2y.
Also p = 1/4a, if you are wondering.
So because this is a vertical parabola, x² = -2y is generally the same as y = -1/2x² in standard quadratic form. I just like to think of the horizontal parabola as an inverse quadratic because it is like reflecting over the line y = x.
Answer:
[tex]\boxed {\boxed {\sf x^2=-2y}}[/tex]
Step-by-step explanation:
First, plot the two points. We can see the focus is below the vertex. The result will be a vertical parabola. Since the parabola must contain the focus, it will have to open downward.
From this information, we know that the following equation must be used:
[tex](x-h)^2=-4p(y-k)[/tex]
where (h,k) is the vertex and p is the distance from the focus to the vertex.
Next, find p, the distance between the focus and vertex. We can use the distance formula.
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The vertex is (0,0) and the focus is (0, -1/2). Therefore:
[tex]x_1=0\\y_1=0\\x_2=0\\y_2= -1/2[/tex]
[tex]d=\sqrt{(0-0)^2+(0--1/2)^2}[/tex]
[tex]d=\sqrt{(0)^2+(0+1/2)^2}[/tex]
[tex]d=\sqrt{0+(1/2)^2}[/tex]
[tex]d=\sqrt{0+1/4}[/tex]
[tex]d=\sqrt{1/4}[/tex]
[tex]d=1/2[/tex]
Now we know the distance and vertex. We can plug the values into the equation.
d=1/2 and (h,k)= (0,0)
[tex](x-0)^2=-4(1/2)(y-0)[/tex]
[tex](x)^2=-2(y)[/tex]
[tex]x^2=-2y[/tex]
The equation of the parabola is x²= -2y
Use the substitution method to solve the system of equations. Choose th correct ordered pair. y = 8x - 4 x = 4 A. (2. 12) OB. (4, 28) C. (4, 4) D. (2.4)
9514 1404 393
Answer:
B. (4, 28)
Step-by-step explanation:
Substitute the value of x into the first equation. This gives you the value of y.
y = 8x -4x = 4After substitution, we have ...
y = 8(4) -4
y = 28
Then the point is (x, y) = (4, 28).
Please Help And Hurry!! (WORTH 20 POINTS)
Solve
5h – 15 + 7h = 40
(Sorry if this is easy I'm bad at math)
Step-by-step explanation:
h= 55/12 if thats what u askin for
5h – 15 + 7h = 40
To find?value of h
Explanation:[tex]:\implies \bold{5h – 15 + 7h = 40}[/tex]
[tex] :\implies \bold{5h + 7h = 40 + 15}[/tex]
[tex] :\implies \bold{12h= 55}[/tex]
[tex]:\implies \bold{h = \dfrac{55}{12} }[/tex]
[tex]:\implies\underline{\boxed{ \bold{h = 4.583}}}[/tex]
Verification:[tex]:\implies \bold{5h – 15 + 7h = 40}[/tex]
[tex]:\implies \bold{(5 \times 4.583) – 15 +( 7 \times 4.583)= 40}[/tex]
[tex]:\implies \bold{ 30– 15 + 32= 40}[/tex]
[tex]:\implies \bold{ 30– 15 + 32= 40}[/tex]
[tex]:\implies\underline{\boxed{ \bold{ 40= 40}}}[/tex]
Solve for t: t - 2 = 10
Question 3 options:
t = 2
t = 8
t = 10
t = 12
Answer: t=12
Step-by-step explanation:
t-2=10
add 2 to both sides of the equation
t=12
9 A book publishing company selected 30 out of 50 books submitted for publishing.
What decimal is equivalent to the fraction of books selected for publishing?
Answer:
Step-by-step explanation:
30/50= 3/5= 0.6
Luis le dice a su amiga: "Yo tengo ahora el triple de edad que tú tenías, cuando yo tenía la edad que tú tienes ahora". Si entre los dos suman 50 años, ¿cuántos tiene cada uno?
Answer:
Luis tiene 30 años de edad y su amiga tiene 20 años edad.
Step-by-step explanation:
Cuando Luis tenia 20 años de edad (hace 10 años), su amiga tenia solamente 10 años de edad. Si multiplicamos 10 x 3 nos da como resultado 30, que es la edad actual de Luis.
L + A = 50
3(A - x) = L
L = 50 - A
3A - 3x = 50 - A
4A = 50 + 3x
en este punto podemos probar diferentes alternativas para x:
x = 5, entonces 4A = 50 + 15
A = 16.25 no es factible porque estamos buscando numeros enteros
x = 6, entonces 4A = 50 + 18
A = 17
al reemplazar, nos da una edad de 3(17 - 5) = 36 para Luis, pero 36 + 17 = 53
x = 8, entonces 4A = 50 + 24
A = 18.5 no es factible porque estamos buscando numeros enteros
x = 10, entocnes 4A = 50 + 30
A = 20
al reemplazar, nos da una edad de 3(20 - 10) = 30 para Luis, y 30 + 20 = 50
HELP ASAP! Relations and Functions!!! Giving brainliest!!!
Answer:
Step-by-step explanation:
Neither are a function because they do not pass the vertical line test.
If Tina rode her bike at a constant rate for the first three hours, what was Tina's average calories burned, in calories per hour, between hour 0 and hour 3?
Answer: 400 calories per hour
Step-by-step explanation:
Q: Tina recorded the number of calories she burned during a bike ride. The graph shows Tina’s calories burned, y, after x hours. If Tina rode her bike at a constant rate for the first three hours, what was Tina’s average calories burned, in calories per hour, between hour 0 and hour 3?
Expalanation: It is seen from the graph that her rate of burning calories increased to 1200 in the first three hours of riding and then remained constant for the rest of the period (2 extra hours).
Her rate of calorie use therefore would be given as: (total calorie used up) / (total hours spent riding for the period of usage)
This is given as: 1200 calories / 3 hours = 400 calories per hour.
A and B are postive integers such that 1/a + 1/b +1/ab = 1. Find ab
Answer: ab =6
have:
[tex]\frac{1}{a}+\frac{1}{b}+\frac{1}{ab}=1\\\\=>\frac{b}{ab}+\frac{a}{ab}+\frac{1}{ab}=1\\\\<=>\frac{a+b+1}{ab}=1[/tex]
=> a + b + 1 = ab
⇔ a + b + 1 - ab = 0
⇔ b - 1 - a(b - 1) + 2 = 0
⇔ (b - 1)(1 - a) = -2
because a and b are postive integers => (b - 1) and (1 - a) also are integers
=> (b - 1) ∈ {-1; 1; 2; -2;}
(1 -a) ∈ {-1; 1; 2; -2;}
because (b -1).(1-a) = -2 => we have the table:
b - 1 -1 1 2 -2
1 - a 2 -2 -1 1
a -1 3 2 0
b 0 2 3 -1
a.b 0 6 6 0
because a and b are postive integers
=> (a;b) = (3;2) or (a;b) = (2;3)
=> ab = 6
Step-by-step explanation:
The figure is cut into 6 equal pieces. shade 2/3 of the figure
Answer:
you need to shade 4/6
Step-by-step explanation:
Maliah goes to an electronics store. Let y represent the price of a laptop and let z represent the price of a television. The equation
y=32 + 12 relates the prices.
Answer:
hi
Step-by-step explanation:
Solve for x: x+ 1/6 = 5/12
Answer:
x=3/12 or 1/4
Step-by-step explanation:
x + 1/6 = 5/12
x + 2/12 = 5/12
x = 3/12
converts to 1/4
Answer:
x= 1/4
Step-by-step explanation:
5/12- 1/6 = 1/4
please solve this math problem look at the screenshot
Answer:
D
Step-by-step explanation:
A graph represents a function of x when it passes the vertical line test. That is, no x values map out to more than 1 y value.
Therefore, D is the only function of x.
Please HELP me!!!! I will mark as brainlist!!!
Answer:
4. CDB+DBE= CBE (55+35=90)
5. Definition of a right angle (90 degrees)
6. Linear pair postulate ( i think)
7. ABC and CBE are both 90 degrees
Step-by-step explanation:
What is the slope of a line that is perpendicular to the graph of y = 4/5x+9?
Answer:
m = -5/4
General Formulas and Concepts:
Algebra I
The slope of the perpendicular line is the negative reciprocal of the original slope.
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Slope-Intercept Form (Original): y = 4/5x + 9
Step 2: Break Original Function
Slope m = 4/5
y-intercept b = 9
Step 3: Find slope of perpendicular line
Take the negative reciprocal.
Perpendicular Slope m = -5/4
How many solutions can be found for the equation 4x + 5 = 10? (4 points)
a. Zero
b. One
c. Two
d. Infinitely Many
What does the graph of the function represent
White any four rational numbers having the denominator 2 or power of
2. then express them in decimals. Are the decimals always terminating?
While the remarks of your investigation.
9514 1404 393
Answer:
1/2 = 0.53/16 = 0.18755/64 = 0.0781257/2048 = 0.00341796875yesStep-by-step explanation:
A terminating decimal has an equivalent denominator that is a power of 10. That is, it is the product of a power of 2 and a power of 5.
Any fraction that has a denominator that is a power of 2 can be expressed as an equivalent fraction with a power of 10 as the denominator.
Example:
[tex]\dfrac{7}{2048}=\dfrac{7}{2^{11}}=\dfrac{7\cdot5^{11}}{2^{11}\cdot5^{11}}=\dfrac{7\cdot5^{11}}{10^{11}}=0.00341796875[/tex]
hope this helps.enjoy!!!!!!
Simplify this fraction (multi choice)
Due to unexpected circumstances, you take out a loan for $5,000 to pay for a lawyer. You agree to pay it back over the next 5 years at a rate of 22.5% (because your credit score is really really low). At the end of the 5 years, how much did this "unexpected circumstance" end up costing you in all?
3(7 - 2x) - 19 - 5(4- x) = 3(8 - 6x) - 9x + 5(4- x)
Answer:
x=2
Step-by-step explanation:
3(7-2x)-19-5(4-x) = 3(8-6x)-9x+5(4-x)
or, 21-6x-19-20+5x = 24-18x-9x+20-5x
or, 21-19-20-6x+5x = 24+20-18x-9x-5x
or, -18-x = 44-32x
or, -x+32x = 44+18
or, 31x = 62
or, x = 62/31
or, x = 2
Answer:
Step-by-step explanation:
21-6x-19-20+5x=24-18x-9x+20-5x distribution property
-x-18=44-32x common factors
31x-18=44 add 32x to both sides
31x=62 add 18 to both sides
x=2 divide 31 to both sides(equals 2) so x equals 2
Function 1: Alan starts with $30 this week. He spends $5.30 per week. Let y be the amount remaining as a function of the number of weeks, X. 0 30 1 24.70 2 19.40 3 14.1
Answer:
y = 30 - 5.30x
Step-by-step explanation:
y-intercept: 30
slope: 5.30x
Just plug in the amount of weeks on x, and then subtract from 30.
Please help asap
25m^2+30m-30m-36
Answer:
(5m+6) (5m-6)
Step-by-step explanation:
That's how you factor it since +30 and -30 cancel out
1) Which of the following is NOT a property of reflection?
A)distance between points is preserved (stays the same)
B)angle measure is preserved (stays the same)
C)pre-image and image are congruent
D)orientation is preserved (stays the same)
Answer:
orientation is preserved (stays the same)
Step-by-step explanation:
4x-3=2x+7 solve the equation
Answer:
First collect like terms
4x-2x=7+3
6x=10
x=10/6
x=1.66666666667
x=1.67
Step-by-step explanation:
Please give me brainliest