Answer:
The equation of the parabola is;
x = -(1/4)·(y - 4)² + 3
Step-by-step explanation:
The given focus of the parabola is f = (2, 4)
The directrix of the parabola is x = 4
The vertex form of the equation of the parabola can be expressed as follows;
x = a·(y - k)² + h
(y - k)² = 4·p·(x - h)
Where;
(h, k) = The vertex of the parabola
(h + p, k) = The focus of the parabola
x = h - p = The directrix
Therefore, k = 4
h + p = 2...(1)
h - p = 4...(2)
∴ 2·h = 6
h = 6/2 = 3
From equation (1), we have;
p = 2 - 3 = -1
p = -1
From the equation of the parabola in the form, (y - k)² = 4·p·(x - h), we have;
The equation of the parabola is (y - 4)² = 4 × (-1) ·(x - 3)
Therefore, we have;
(y - 4)² = -4·x + 12
4·x = 12 - (y - 4)²
The equation of the parabola is x = -(1/4)·(y - 4)² + 3
y² -8·y + 16 = -4·x + 12
4·x = 8·y - y² - 16 + 12 = 8·y - y² - 4
x = 2·y - y²/4 - 1 = -y²/4 + 2·y - 1
The equation of the parabola can also be written in the form
x = -y²/4 + 2·y - 1 = -0.25·y² + 2·y - 1
Can someone help me with this. Will Mark brainliest.
Answer:
true
Step-by-step explanation:
a rhombus always has opposing parallel sides, qualifying it as a parallelogram
Answer:
true
Step-by-step explanation:
all rhombuses have opposite sides equal and parallel and opposite angles are congruent
Steve reaches into a bag with 5 marbles 3 yellow marbles and 2 green marbles and randomly selects one the he puts the marble back and sam reaches into the same bag and randomly selects a marble is this independent or dependent
Answer:
Independent
Step-by-step explanation:
The reliance of an event on the outcine of another event gives rise to a dependent event. For any two or more event, whereby the outcome of event A has no effect on the possible outcome of event B, then such scenario is termed as being Independent. In the scenario described above, the outcome oof Sam's pick does not depend on the outcine of Steve's pick. This is because, once Steve makes his selection, the marble is returned into the box before Sam makes his own selection.Therefore, no matter the color of marble picked by Steven, it will have no bearing on the outcome of Sam's pick.
Audria rode her bicycle for 2 hours. She drove a total of 21 miles. At this rate, how many miles will she bike in 1/2 hours?
A. 6 1/2
B. 6 3/4
C. 5 3/4
D. 5 1/4
Answer:
D
Step-by-step explanation:
21/2 = 10.5
10.5 x .5 = 5.25 = 5 1/4
The answer is D.
Identify the vertex of the graph. Tell whether it is a minimum or maximum.
Answer:
(0, - 1) maximum
Step-by-step explanation:
The vertex is the turning point of the graph.
That is vertex = (0, - 1 )
Since the graph opens down then it is a maximum
Which equation is the most accurate line of best fit for this scatter plot?
A: y = 10x + 800
B: y = -10x - 800
C: y = -10x + 800
D: y = 10x - 800
What is the y-intercept to (-2,1) (3,-6)
Answer:
(0,-9/5)
Step-by-step explanation:
You can use the equation y=mx+b to solve
First you have to find the slope (m)
You can do this by using the equation y2-y1=x2-x1
(-6-1)/(3--1)= -7/5
m=-7/5
You then use the slope to find out b or the "y-intercept"
I am using the point (-2,1) to substitute
(1)=-7/5(-2)+b
-9/5=b
y=-7/5x-9/5
Check (3,-6):
(-6)=-7/5(3)-9/5
-6=-21/5- 9/5
-6=-6 true
which point on the number line represents --3/4
Answer:
D
Step-by-step explanation:
Because it is 3 tics closer to 1. which would be 3/4 of 1
The area of a square floor on a scale drawing is 25 square centimeters, and the scale drawing is
1 centimeter:6 ft. What is the area of the actual floor? What is the ratio of the area in the drawing to the
actual area?
The area of the actual floor isſ ] square feet. The ratio of the area in the drawing to the actual
area is 1 square centimeter: square feet
View Example
f Step-by-step
Textbook
Print
Answer:
actual area = 900 square feet
ratio = 1cm2 : 36ft2
Step-by-step explanation:
square room
area = 25cm2
1 side = √ 25
= 5cm
1cm = 6ft
5cm = 5 x 6
= 30ft = 1 side
actual area = 30 x 30 = 900ft
ratio = square cm : square feet
= 25 : 900 ( simplify both ratio )
= 1cm2 : 36ft2
Did i pick the right one?
Answer:
V= 3,14×7×3×5
= 21,98×15
= 131,94
It cost $5 to send 6 packages through a certain shipping company. Consider the number of packages per dollar. Find the constant of proportionality for this situation. ENTER ONLY A NUMERICAL ANSWER. NO WORDS, SYMBOLS, OR ADDITIONAL SPACES
Answer:
1.2 packages per dollar
Step-by-step explanation:
Number of packages = 6
Total cost in dollars = $5
Number of packages per dollars = Number of packages / Total cost in dollars
= 1.2 packages per dollar
Let
P = number of packages
d = cost in dollars
k = constant of proportionality
P = k * d
6 = k * 5
k = 6/5
k = 1.2
Constant of proportionality = 1.2
Pls help and thank you guysss
Answer:
x=8
Step-by-step explanation:
These two equation should add up to equal 180.
8x+13+12x+7=180
20x+20=180
20x=160
x=8
Answer:
8x+13+12x+7 =180
20x+20 =180
x= 8
What is the volume of this composite solid?
Answer:
B
Step-by-step explanation:
I think
in ABC , Ab=7 , BC=9, AND AC=9, What is the smallest angle of the triangle ?
Answer:
Angle C
Step-by-step explanation:
It is an isoceles triangle.
Will give brainlyest to the first correct answer! Easy points
Answer:
its most likely A
Step-by-step explanation:
Considering it goes at a steady rate with the second variable being reasonably scattered, the level of pure water would obviously go down not up,considering you are adding frogs. than again i havent really reached this degree of mathematics. But through reasoning i beleive it's A
-3x - 5 = 16
solve for x, thanks.
You get a brand new car for your 16th birthday, valued at $25,875. Each year you
own the car it decreases in value by 15%. How much will the car be worth when you
turn 21?
Answer: $25,875 - 15% = 21 993.75 0r $25,875 + 15% = 29 756.25
Step-by-step explanation:
how to solve 7x+(-3)=18
Answer:
x=3
Step-by-step explanation:
7x(-3)=18
add 3 to both sides
7x=21
divide by 7 on both sides
x=3
Answer:
7x+(-3)=18
7x-3=18
7x-3+3=18+3
7x=18+3
7x=21
7x/7=21/7
x=21/7
x=3
la suma de los cuadrados de dos numeros
i need help whats the answer for 2x^2=50
Answer:
x = 5
x = -5
Step-by-step explanation:
2x^2 = 50
2x^2 - 50 = 0
2(x^2 - 25) = 0
2(x^2 + 5x - 5x - 25) = 0
2((x^2 + 5x) + (-5x - 25)) = 0
2(x(x + 5) - 5(x + 5)) = 0
2(x - 5)(x + 5) = 0
x - 5 = 0
x + 5 = 0
x = 5
x = -5
10
10
14
50
50
10
10
NOTE: Figure not drawn to scale.
Which statement can be used to prove that the triangles above are congruent?
A If two triangles have three pairs of corresponding sides that are congruent, then the triangles are congruent.
B If two triangles have three pairs of corresponding angles that are congruent, then the triangles are congruent
If two triangles have two pairs of corresponding sides that are congruent, and the included angles are congru
triangles are congruent.
D
If two triangles have to pairs of corresponding angles that are congruent, and the included sides are congru
triangles are congruent.
Answer:
do you have a picture or somthing beacuse i dont understand what your asking
Step-by-step explanation:
Answer: prove that two triangles with three congruent, corresponding angles are congruent, you would need to have at least one set of corresponding sides that are also congruent.
Step-by-step explanation:
Please see attached to answer 1-7.
Please tell me how to do all of them.
A data set is shown below. { 0 , 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 } Which of the following best represents a measure of center for the values in this data set?
Answer:
51
Step-by-step explanation:
PLEASE HELP! I really really need help. If you can please help me with the answer.
Answer:
I believe it's 960
Step-by-step explanation:
Rect. Prism volume = 12 * 10 * 7 = 840
Pyramid = (12 * 10 * 3) / 3 = 120
Total = 840 + 120 = 960
HELPZZZZZZZ 25 PTSS and yes ik it is not math
Answer:
I already helped you in the comments!
Step-by-step explanation:
So im gonna help you again so you can give brainlest!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
III
Step-by-step explanation:
the answer would be the third one because if you divided the three numbers by 3 then they will be 3,5,4 which is a type of right angled triangle...you can also check it with pythagoras theorm.
Answer:
I and III
Step-by-step explanation:
How to tell if a triangle is a right triangle with given sides : If a and b are measures of the shorter sides of a triangle, c is the measure of the longest side, and c2 = a2 + b2, then the triangle is a right triangle. If c2 ≠ a2 + b2, then the triangle is not a right triangle. let us see some example problems based on the above concept.
To determine if the triangle is a right triangle, we use the Pythagorean theorem to test or see if the data agrees. We do as follows: c² = a² + b². 10² = (5√3)² + 5². 100 = 75 + 25. 100 = 100. Therefore, the triangle with the given measurements is a right triangle.
21² + 21² = 29²
and
9² + 12² = 15²
I need help on 19 and 20. Please help me. Please don’t put a link. Please help me.
Answer:
19:
4 < third side < 14
20:
3 < third side < 13
Step-by-step explanation:
hint: go to http://www.17 28.org/trianinq.htm
(fix the space between 17 and 28)
you're welcome xx
Chirs bought 10.4 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of liters of gasoline Chirs bought?
Answer:
39.52
Step-by-step explanation:
just multiply 3.8 by 104 and thats how many liters
Need ASAP please help
Answer:
POSSIBLY 1
Step-by-step explanation:
hurry please!!!!
If tang =
and the terminal point determined by 2 is in quadrant 3, then:
U
4
A. COSA = -
5
U
4
B. cote =
U
C. CSCO =
LOI
U
D. sing =
MILO
SUBMIT
Use the points form of a line to write the equation of a line thag that has a slope of 2 and passing through the points (-4,3) write the equation in slope intercept form
If the equation is passing trough the origin, it will be passing trough the point (0,0). We now for our problem that the equations is also passing trough the point (-4,3). So, our line is passing trough the points (0,0) and (-4,3). To write the equation in slope-intercept form, first, we need to find its slope . To do that we are going to use the slope formula: .
From our two points we can infer that , , , . Lets replace those values in the slope formula:
Now that we have our slope, we can use the slope-intercept formula:
We can conclude that the equation of the line passing trough the points (0,0) and (-4,3) is .
