The blue dot located inside the curve of the parabola is Focus.
What are Parts in Parabola?
The essential feature of a parabola is that all of its points are the same distance from a point called the focus and a line called the directrix. The vertex, axis, latus rectum, and focal length are also key components of a parabola.
The latus rectum, also known as the focal diameter, is the line segment that runs through the focus and parallel to the directrix. The focal diameter's endpoints are located on the curve.
A parabola is the set of all points ( x, y ) in a plane that are the same distance from a fixed line called the directrix and a fixed point not on the directrix (the focus).
A parabola will have three key components: a focus, a directrix, and a vertex. This upward-opening parabola demonstrates that all points,, along the parabola's curve will be the same distance from the focus and the directrix.
Thus, the blue dot located inside the curve of the parabola is Focus.
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Need actual help (please hurry)
Evaluate the expression 6 + 5 × 32 - 8.
43
11
6
91
Answer:
158
Step-by-step explanation:
All i know is that these answer choices cannot be found in the calculator
Answer:
158.....
PEMDAS
you multiply first 6+160-8
then you add or subtract
158
Simplify (8y6)
what’s the answer?
WILL NAME BRAINLIST! The point of a square pyramid is cut off, making each lateral face of the pyramid a trapezoid with the dimensions shown. 1 in 1 in. 3 in. What is ine area of one trapezoidal face of the figure? ___ in. 2
Area= 1/2 (a+b)h
1/2(1in. +3in.)1in.
1/2(4in.)1in.
2in.× 1in.
2in. Therefore the area is 2in.
Five-sixths of the students at a nearby college live in dormitories. If 6000 students at the college live in dormitories, how many students are there in the college?
The number of students that are in college is 7200 if Five-sixths of the students at a nearby college live in dormitories. If 6000 students at the college live in dormitories.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
Five-sixths of the students at a nearby college live in dormitories. If 6000 students at the college live in dormitories
Let x be the number of students that are in college.
Then from the question:
The value of x can be found as follows:
x = (6000/5)×6
x = (1200)×6
x = 7200
Thus, the number of students that are in college is 7200 if Five-sixths of the students at a nearby college live in dormitories. If 6000 students at the college live in dormitories.
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What is 1/2 ( f - 10 ) when f= 16
Solve the system of equations below.
what what is the instantaneous velocity of the caterpillar at time t=6
a) 0 m/s
b) 3.0 m/s
c) 6.0 m/s
d) 0.33 m/s
I need help on this math problem fast with work shown and answer thx
Answer:
angle 1 = 124
angle 2 = 56
angle 3 = 124
angle 4 = 56
Step-by-step explanation:
This problem is a bit like a puzzle. To make notation easier I'm going to do this:
angle 1 = a
angle 2 = b
angle 3 = c
angle 4 = d
Now, let's start with what we know from the image.
All angles added together form a circle or 360 degrees
a + b + c + d = 360
In the same regard a + d = 180, and b + c = 180
Also,
a = c
and
b = d
It also tells us angle 4 is 25 degrees greater than one fourth of angle 1. Which is written as.
d = 1/4(a) + 25
If we look at all the equations we have, we can see that two of the equations have two of the same variables:
a + d = 180
and
d = 1/4(a) + 25
Using substitution we can take the second equation substitute it for d in the first equation giving us:
a + (1/4(a) + 25) = 180
Now we just solve for a
[tex]\frac{4}{4} a+ \frac{1}{4} a + 25 = 180\\\\\frac{5}{4}a + 25 = 180 \\\\(\frac{5}{4}a + 25) - 25 = (180) -25\\\\\frac{5}{4} a = 155\\\\\frac{5}{4} a * \frac{4}{5} = 155 * \frac{4}{5}\\\\a = 124[/tex]
Therefore a, or angle 1, is 124
Since a = c, then c, or angle 3, is also 124
Since a + d = 180 and a = 124 then
d = 180 -124
d = 56
So, d, or angle 4, is 56
And because b = d then b, or angle 2, is also 56
a = 124
b = 56
c = 124
d = 56
For extra measure, we can check our work by using the first equation
a + b + c + d = 360
124 + 56 + 124 + 56 = 360
Select all the figures that are shaded to represent 60% of the whole. Whoever answers correctly and first will be marked as brainliest!!!!
Answer:
the first one
Step-by-step explanation:
QUICK! WHOEVER GIVES CORRECT ANSWER GETS BRAINLIEST
Answer:
15
Step-by-step explanation:
Answer:
15 cookies
Step-by-step explanation:
10 cookies is equivalent to 2 scoops of flour.
You need to find how many cookies they can make with just 1 scoop of flour.
So, to do that, you'd need to do 10/2, which is 5.
10 represents the number of cookies, and 2 represents the scoops of flour. (5 represents the number of cookies you can make with 1 scoop of flour.)
This will work with any certain amount of flour, just use the equation 5 times X, where X is the amount of flour.
In this certain problem, they gave us the scoops of flour.
Replace X with 3.
3 times 5 = 15.
15 cookies.
Plssss help me out I really need a 87 and don’t get this wrong ❤️
Answer:
73 degrees
Step-by-step explanation:
The total number of all of the angles in a triangle added together should be 180 degrees. You know that one of the angles is 17. The other angle is 90 because it is a right triangle.
90 + 17 = 107
180 - 107 = 73
So, the other angle is 73 degrees. If this is wrong I am so sorry. Hope this helps you, let me know if it is right!
Answer:
73°
Step-by-step explanation:
A right triangle has one right angle and two acute angles.
A right angle is 90° and the question says that one of the angle are 17°.
We need to add both angles together which = 107°.
A triangle internal total angles will always add up to 180°.
So we need to do 180° - 107° to find the missing angle which = 73°.
Also, the question said that the missing angles was acute and 73° is acute.
hope this helps :)
Find the value of the variable. If the answer is not an integer, leave it in simplest radical form,
15
A. 16^2
B16
C 17
D. 17^2
Water treatment plant receives a 5% polymer solution. Calculate how much polymer should be mixed with water to produce 350 gallons of a 0.5% solution.
Answer:
Polymer to be mixed with water to produce 350 gallons of a 0.5% solution is 1.75 gallons.
Step-by-step explanation:
Solution weight-age 100% = 350 gallons
Polymer weight-age = 0.5 % = ?
Water weight-age = 99.5 % = ?
100 =99.5 w + 0.5 p
350 = ? + ?
Using ratios
100 350
0.5 p
Applying the cross product rule
p = 350 *0.5/100= 1.75 gallons
Polymer to be mixed with water to produce 350 gallons of a 0.5% solution is 1.75 gallons
Using ratios
100 350
99.5 w
Applying the cross product rule
w = 350*99.5 /100= 348.25 gallons
Water to be mixed with water to produce 350 gallons of a 0.5% solution is 348.25 gallons
1. does a rectangle have opposite sides parallel
2. does a parallelogram have opposite sides parallel
3. does a trapezoid have opposite sides parallel
4. does a rhombus have opposite sides parallel
Answer:
yes I guess a rectangle has opposite sides parallel parallelogram has opposite sides parallel a trapezium has opposite sides parallel a rhombus has opposite sides parallel if I'm wrong please connect me right away thank you.
Answer:
1.Yes, 2 pairs
2.Yes, 2 pairs
3.Yes, 1 pair
4.Yes, 2 pairs
Step-by-step explanation:
1.Each pair of co-interior angles are supplementary, because two right angles add to a straight angle, so the opposite sides of a rectangle are parallel. This means that a rectangle is a parallelogram, so: Its opposite sides are equal and parallel. Its diagonals bisect each other.
2.A parallelogram is a four sided figure where the opposite sides are parallel.
3.A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required.
4.Every rhombus has two diagonals connecting pairs of opposite vertices, and two pairs of parallel sides.
Find the percent change from the first value to the second.
20;30
The change is (select)
Answer:
increase by 10%.
a man sold an article at a gain of 5 percent if it had sold for rs 16.30 less he would have suffered a loss of 5 percent find the cost price?
Answer:
Step-by-step explanation:
let CP of the article = x
at 5% gain, SP of article = x + (5/100)x = 1.05x
at 5% loss, SP of article = x - (5/100)x = 0.95x
given that 1.05x - 0.95x = 16.5
⇒ 0.1x = 16.5
⇒ x = 16.5/0.1
⇒ x = Rs. 165.
The cost price of the article is Rs. 165.
Consider the function f(x)=6x+5
(A) find it’s average rate of change by changing x=1 to x=5
Answer: I really don’t know
Step-by-step explanation: I need help with this as well. I’m really sorry if you were looking for a real answer
help ASAP ill give brainliest
Answer:
9 students is the correct answer :(
Calculate the volume of a cube with side lengths of 2.8 yards.
Answer:
21.952 [tex]yards^{3}[/tex]
Step-by-step explanation:
The volume of a cube is side length cubed.
So [tex]2.8^{3}[/tex] = 21.952
Karita had $138.72 in her checking account. She wrote check to take out $45.23 and $18.00, and then made a deposit of $75.85 into her account. How much dose Karita have in her account now?
Consider the first three terms of the sequence below.
14000, 12600, 11340
Complete a recursively-defined function to describe this sequence.
f(1) = _____
f(n) = f(n - 1) · ___, for n ≥ 2
The next term in the sequence is ____.
Answer:
f(1) = 14000
f(n) = f(n - 1) · 0.9 , for n ≥ 2
The next term in the sequence is 10206 .
Step-by-step explanation:
First we try to find the type of sequence it is.
Is there a common difference?
12600 - 14000 = -1400
11340 - 12600 = -1260
There is no common difference, so it is not an arithmetic sequence.
12600/14000 = 0.9
11340/12600 = 0.9
There is a common ratio, so this is a geometric sequence.
Each term is 0.9 times the previous term.
The next term is:
11340 * 0.9 = 10206
Answer:
f(1) = 14000
f(n) = f(n - 1) · 0.9 , for n ≥ 2
The next term in the sequence is 10206 .
SALE
80% OFF!
What is the sale price of a basketball jersey originally priced at $40?
Answer:
20
Step-by-step explanation:
5 cups of coffee and 2 bottles of water cost $12 4 cups of coffee and 7 bottles of water cost $15
help plss
Answer:
one cup of coffee costs $2, while one bottle of water costs $1
Step-by-step explanation:
We can represent this using two equations:
Variable x represents cups of coffee, and variable y represents bottles of water.5x + 2y = 12
4x + 7y = 15
Your answer for the value of x and y should be
x = 2
y = 1
Therefore, one cup of coffee costs $2, while one bottle of water costs $1.
Can someone help me with this question please
Answer:
61
Step-by-step explanation:
all angles that are in a triangle add up to 180
x+80+39=180
x+119=180
x=61
Hope that helps :)
Three coffees and two muffins cost a total of $7. Two
coffees and four muffins cost $8.
Let x = cost of coffees
Let y = cost of muffins
how do i write this in a system of linear equations?
Step-by-step explanation:
3 coffees + 2 muffins = $7
therefore,
[tex]3x + 2y = 7[/tex]
2 coffees + 4 muffins = $8
therefore,
[tex]2x + 4y = 8[/tex]
Answer:
i think in every coast we're adding two shillings in the first sentence the total was 5 and we paid $7 and in the second sentence the total was 8 dollars meaning we added to shillings.
Step-by-step explanation:
in my school we are taughtthat we shouldn't mix goats with sheeps so we this the same way we can't mix x and y so in my opinion I guess you can say x + y =to that amount of money at the end you paid if it's 8 dollars or 7 dollars. we can say x represents the coffees and y represents the muffins that's how I get it I hope you want to be angry with me. for example 3 + 2 equals to 7 .3 + 2 is 5 so we'll carry five to the other side of equals where we will make it be minus so we'll say 7 - 5 where will get 2
Marcus goes to the park, which is 4 miles away. He walks 512 of the way and then jogs the rest of the way.
How many miles does he walk? Use the number line to help you.
Answer:
516 miles
Step-by-step explanation:
Please solve as soon as possible thank you I appreciate it!
Please help I need help and please explain
Answer:
click c
Step-by-step explanation:
and its right
help!!!!!!!!!!!!!!!!!!!!!!!!!!!! asap!!!!!!!!!!! 50 pts and brainliest!
Answer:
-5/4
Step-by-step explanation:
Pick two points on the line
(-4,0) and (0,-5)
We can use the slope formula
m = (y2-y1)/(x2-x1)
= ( -5 -0)/(0 - -4)
= (-5-0)/(0+4)
= -5/4
Answer: -5/4
Step-by-step explanation:
Pick two points on the line
(-4,0) and (0,-5)
We can use the slope formula
m = (y2-y1)/(x2-x1)
= ( -5 -0)/(0 - -4)
= (-5-0)/(0+4)
= -5/4
- Chilio