Help ASAP!!!! I DONT GET IT
Sophia scored 33 points in a basketball game. She scored four more two point baskets than three point baskets. Write a system equations in standard form that models this situation. How many three points baskets did Sophia make?
Answer:
5
Step-by-step explanation:
33p is separated into 3p and 2p
4 more 2p than 3p
5 3 points
9 2 points
Write an equation in whatever form you choose with the given characteristics Parallel to y = 3/5x - 8 and passes through (0, -3)
Answer (this one's written in slope-intercept form):
[tex]y= \frac{3}{5}x -3[/tex]
Step-by-step explanation:
1) Lines that are parallel to each other have the same slope. The line [tex]y=\frac{3}{5} x-8[/tex] is in slope intercept form, or [tex]y = mx + b[/tex] form, and the number in place of [tex]m[/tex] represents the slope. Knowing this, it looks like [tex]\frac{3}{5}[/tex] is in the place of the [tex]m[/tex] in that equation, so [tex]\frac{3}{5}[/tex] is the slope - and the slope we need to use for the answer, too.
2) Once you know a point that the line must pass through and a slope, you can write an equation with point-slope form, or [tex]y-y_1 = m (x - x_1)[/tex]. [tex]m[/tex] is the slope and [tex]x_1[/tex] and [tex]y_1[/tex] are the x and y values of the point it must pass through. So, substitute [tex]\frac{3}{5}[/tex] for [tex]m[/tex], 0 for [tex]x_1[/tex], and -3 for [tex]y_1[/tex]. Simplify and isolate y to put it in slope-intercept form:
[tex]y-(-3) = \frac{3}{5} (x - 0) \\y + 3 = \frac{3}{5} x - 0 \\y = \frac{3}{5} x - 3[/tex]
3) Thus, [tex]y = \frac{3}{5} x - 3\\[/tex] is the answer. It's written in slope-intercept form.
Can u pls help me with this question
Answer:
21 is the answer your welcome
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!
20x^2/12x+8 simplified
are 7x and 3+ like terms that you can combine?
Answer:
no
Step-by-step explanation:
Because the term behind the 7 is a x, but the 3 only has a plus sign. If both numbers had a x, then yes
Hope this Helps!!!
3. Frank is considering two cell phone plans. The first company charges $120 for the
phone and $30 per month for the calling plan that Juan wants. The second company
charges $40 for the same phone but charges $45 per month for the calling plan that
Juan wants. After how many months would the total cost of the two plans be the same?
Representations:
Equations:
Answer:
5.333 months
Step-by-step explanation:
Company A: 120+30x
Company B: 40+ 45x
120+30x=40+45x
80=15x
80/15=x
5.33333=x
Which is greater, 76% or 0.67?
Answer:
76%
Step-by-step explanation:
76% is 0.76
So it's is greater than 0.67
76%>0.67
what is 246 588 rounded to the ten thousands place
9514 1404 393
Answer:
250,000
Step-by-step explanation:
The thousands digit is more than 4, so the ten-thousands digit is increased by 1 before digits to its right are replaced by zeros. The rounded number is ...
250,000
Work out the volume of this sphere.
Give your answer to 1 decimal place.
4.7 cm
Answer:
434.9 cm³
Step-by-step explanation:
Volume of a sphere: 4/3πr³
Substitute the information to find the volume.
4/3π(4.7)³ = 434.9
what does y equal?......
Answer:
37
Step-by-step explanation:
4. Car A travels 100m in 5 seconds. If car B travels the same distance in 2
seconds, which one is travelling at the faster speed? Explain your answer.
Answer:
Car B is travelling at the faster speed.
Step-by-step explanation:
Given that,
The distance covered by car A = 100 m
Time of car A, t = 5 s
The distance covered by car B = 100 m
Time of car B, t = 2 s
We need to find which one is travelling at the faster speed.
Speed = distance/time
For car A,
[tex]v_A=\dfrac{100\ m}{5\ s}\\\\v_A=20\ m/s[/tex]
For car B,
[tex]v_B=\dfrac{100\ m}{2\ s}\\\\v_B=50\ m/s[/tex]
So, car B is travelling at the faster speed.
Find the slope of the line passing through points -2, 2 and 2, 0
We can find the slope by using the slope formula. Also know rise over run.
[tex] \large \bold{m = \frac{rise}{run} }[/tex]
[tex]m = \frac{2 - 0}{ - 2 - 2} \\ m = \frac{2}{ - 4} \\ m = - \frac{1}{2} [/tex]
From the slope-intercept y = mx+b.
[tex] \large \bold {m = slope } \\ \large \bold {b = y - intercept }[/tex]
Answer[tex] \large \boxed { - \frac{1}{2} }[/tex]
Answer:
-1/2
Step-by-step explanation:
Going from (-2, 2) to (2, 0), x (the run) increases by 4 and y (the rise) decreases by 2. Thus, the slope of this line is m = rise / run = -2/4 = -1/2.
Which ordered pair is in the solution set of y> 2x + 3?
a.(1,4)
b.(3,2)
c.(0,5)
d.(0,0)
The line L passes through the points (0, –2) and (6, 1).
Find an equation of the line L.
Answer:
Some Facts about lines (1) For non vertical line L, if L passes a point (x0,y0) with slope m, then an equation of line L is y − y0 = m(x − x0). (2) If a non vertical line L passes through distinct points (x1,y1) and x2(y2), then the slope of L is m = y2 − y1 x2 − x1 . x a + y b = 1.
Step-by-step explanation:
Classify the triangles based on whether they are right triangles.?
Answer:
The 1st, 4th, and 5th triangles are right triangles
Step-by-step explanation:
Right triangles always have a key characteristic. They all have an angle of 90 degrees. Keep an eye out for that.
The sum of 5 times a number and 3 is the same as the difference of the number and 9. Find the number
Answer:
let number be n
by question
(5n+3)=(n-9)
5n-n=-9-3
4n=-12
n=-12/4=-3
required no. is -3.
20
X + 60°
X=
20
40
80
i think its C because don't you have to add the numbers together
The answer is 40 degrees :]
Normally a chef uses 14 ounces to make chocolate chip cookies but he started using 20.44 ounces instead he should advertise the cookies as having percent more chocolate
What is the value of X?
PLZ HELP!
Carmen enters a painting in an art contest. The contest rules say that all paintings must be rectangular, with an area no greater than 3,003.84 cm2. Carmen's painting wins second prize in the contest. The painting that wins first prize has an area that is 1.6 times less than the greatest area the rules allow.
What is the area of the first-prize painting?
The plastic cylinder has a diameter of 2 cm. There is a rectangular 0.6 cm square prism through the middle of the cylinder, extending from the top to the bottom. The height of the cylinder is 6 cm. Find the volume of the cylinder without the prism.
Answer:
73.2 cm³
Step-by-step explanation:
The volume of the cylinder without the prism is V" = volume of cylinder, V' - volume of rectangular prism, V
Volume of cylinder = πr²h where r = radius of cylinder = 2 cm and h = height of cylinder = 6 cm.
So, V = πr²h
= π(2 cm)²(6 cm)
= π × 4 cm² × 6 cm
= 24π cm³
= 75.4 cm³
V = volume of rectangular prism = Area of 0.6 cm square × height = L²h where L = 0.6 cm and h = height of rectangular prism = 6 cm.
So, V = L²h = (0.6 cm)² × 6 cm = 2.16 cm³
volume of the cylinder without the prism is V" = V' - V
= 75.4 cm³ - 2.16 cm³
= 73.24 cm³
≅ 73.2 cm³
Answer:
Not an answer
Step-by-step explanation:
Please help I’m so confused ;(
Answer:
Step-by-step explanation:
FACTORIZE :-
[tex]6 ^{2} + 6p + 8[/tex]
write an expression that is equivalent to 3/4 a + 2/3 - 1/2 a - 1/3 + 1/2 a
help please ASAP super hard
Answer:
B.
Step-by-step explanation:
Tatiana is buying b number of books and m number of magazines at the book fair. The books cost $4 each and the magazines cost $2 each. Tatiana's total purchase can be shown with this expression: 4b+2m. Which expression is equivalent to 4b + 2m?
A) 6bm
B) 2(2b+2m)
C) 2(2b+ m)
D) 6(b+m)
Answer:
d
Step-by-step explanation:
The fence around a circular garden is 18 feet long. What is the area of the garden to the nearest square foot? Use 3.14 for pi.
____square feet
Answer:
26
Show Your Work:
Answer:
26 sq.ft.
Step-by-step explanation:
i did the diagnostic
Plzz help me to find coefficient in binomial theorem (25 points)
Denote x2 by y.
(x2-3)7=(y-3)7
This is a binomial expansion in y, and you want the coefficient of y4 because y4=x8
You have 7 terms of (y-3) in (y-3)7. To get the fourth power of y, you need to choose y from four of the terms. The number of ways you can do this is the combinations of 7 things taken 4 at a time. This is:
7!/(4!3!)=35
So, the coefficient of x8 in the given expansion will be 210.
HOPE IT HELPS
THANK YOU