Answer:
The width of the spotlight is 20 inches
Step-by-step explanation:
The location of the bulb = 2.5 inches above the vertex
The height of the spotlight = 10 inches
The width of the spotlight =
The
The height of
The equation of a parabola is given as follows;
(x - h)² = 4p(y - k)
Focus, (h, k + p) = (0, 2.5)
y = k - p
k + p = 2.5
Vertex = (h, k) = (0, 0), therefore, k = 0
p = 2.5
We have;
(x - 0)² = 4p(y - 0)
x² = 4×2.5 × y = 10·y
Therefore, given that y = 10, we have;
x² = 10 × 10 = 100
x = √100 = ±10
The coordinates of the two end points are;
(-10, 10), and (10, 10)
Therefore, the width of the spotlight = the distance between the end points
Given that the y-values are the same, we have
Distance = 10 - (-10) = 10 + 10 = 20 inches
∴ The width of the spotlight = 20 inches.
Eleven more than seven times a number is five less than
three times the number. Write the equation and find the
number.
Answer:
x=16
Step-by-step explanation:
Let the no : be x
Acc to Ques :
7x−11=5+6x
⇒7x−6x=5+11
x=16
a square with an area of 25 in.^2 is plotted on a grid so that the bottom-left corner is at the origin. The side of the square are horizontal and vertical. A reflection over what line maps the square onto itself?
Answer:
Reflection about the vertical line x = 2.5 inches will map the square unto itself
Step-by-step explanation:
The given parameters are;
The area of the square = 25 in²
The orientation of the sides of the square are horizontal and vertical
Therefore, we have;
The area, A, of the square given by the following relation;
A = Side²
A = 25 in²
Therefore;
The area of the square = 25 = side²
The length of the sides of the square = √A = √25 = 5
The length of the sides of the square = 5 inches
The reflection of a figure that maps the figure unto itself is a reflection along the line of symmetry
One of the line of symmetry that divides the square into two similar halves is the vertical straight that passes half way through the horizontal side, which is the point 2.5 inches to the right on the x-axis with the coordinates (2.5, 0)
Therefore, reflection about the line x = 2.5 inches will map the square unto itself.
HELP PLEASE!
Please explain Slovin's formula
Answer:
I need more information, meaning his formula.
Step-by-step explanation:
Answer:
who is slovin?????
Step-by-step explanation:
Polyhedron P is a cube with a corner removed and relocated to the top of P. Polyhedron Q is a cube. How do their surface areas compare? P A. P’s surface area is less than Q’s surface area. B. P’s surface area is equal to Q’s surface area. C. P’s surface area is greater than Q’s surface area. D. There is not enough information given to compare their surface areas.
Answer:
P's surface area is less than Q's surface area
The table shows the proportional relationship of the colors in Molly’s garden.
A 2-column table with 4 rows. Column 1 is labeled White (x) with entries 12, 24, 36, 48. Column 2 is labeled Pink (y) with entries 18, 36, 54, 72.
Complete the next ordered pair so Molly knows how many white flowers she needs for 5 rows.
Ordered pairs: (36, 54), (48, 72), (
, 90)
Answer:
The correct answer is 60
Step-by-step explanation:
on edge :)
Answer:
Guy above is correct
Step-by-step explanation:
How do I determine the coefficient?
Answer: You determine the coefficient by looking to see if there is a number in front of a variable. If there is a number in front of the variable, then that is the coefficient. The coefficient is the number, and the variable is the letter.
Step-by-step explanation: Hope this helps
Simply the following : 343^1/3
Mindy spent $6.24 for a new binder, $1.95 for a notebook, and $5.59 for a new pack
of her favorite mechanical pencils. About how much did she spend?
Answer:
The correct answer Would be Mindy spent about $14.
Step-by-step explanation:
When it says about in the question it means to round or estimate I have the same assignment. Hope this Helps!
Aiden found the mass of a rock to be 200 grams/ cubic centimeter. He then found the volume of the rock to be 20 cubic centimeters. What is the density of the rock?
Step-by-step explanation:
Density (g/cm cubed) = Mass (g) / Volume (cm cubed)
So:
Density = 200g / 20cm cubed
Density = 10g/cm cubed
what is the distance between the two points (-2,1) (4,3)
Answer:
[tex]2 \sqrt{10} \: units[/tex]
Step-by-step explanation:
I hoped this helpful for you. Mark this answer as BRAINLIEST answer.Thank you ☺️☺️☺️
The distance between the points be "2√10 units".
Equation of lineAccording to the question,
Points are:
(x₁, y₁) = (-2, 1)
(x₂, y₂) = (4, 3)
We know the formula,
Distance between two points,
→ D = [tex]\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}[/tex]
By substituting the values, we get
= [tex]\sqrt{(4-(-2))^2+(3-1)^2}[/tex]
= [tex]\sqrt{(4+2)^2+(2)^2}[/tex]
By solving the squares, we get
= [tex]\sqrt{36+4}[/tex]
= √40
= 2√10 units
Thus the above answer is appropriate.
Find out more information about distance here:
https://brainly.com/question/20115150
Simplify the expression.
−23(12c−9)+14c =
The simplification of the expression would be equal to -262c +207.
An equation is defined as an expression which shows the relationship between two or more numbers, variables, and a mathematical equation is a statement with two equal sides and an equal sign in between.
We are given the expression as;
−23(12c−9)+14c =
Now ;
-23(12c) -23 * -9 + 14c
Now Apply the distributive property;
2. -276c -23 * -9 + 14c
Then Multiply 12 by -23
-276c + 207 + 14c
Add -276c and 14c
-262c +207
The answer is -262c +207
Learn more about equations here;
brainly.com/question/25180086
#SPJ6
PLEASE PLEASE HELP ME OUT
Answer:
but its my first time here and answering high school questions what do you want me to do and who are you though to tell me what to do 6.5
Step-by-step explanation:
so what are you going to say to me huh
What is the domain and range of the function graphed below?
What is 6 2/3 as a percent?
Answer:
6.666667
Step-by-step explanation:
2/3 as a percent is .6666666666667
Point N is on line segment MO. Given MN = 16 and NO = 2, determine the
length MO.
Answer: MO =
Submit Answer
attempt 2 out of 2
Answer:
Step-by-step explanation:
MO = MN + NO
= 16 + 2
= 18
Help!! plz!!
Write an equation that is parallel to 3x−2y=14 and passes through the point (-6, -11) in slope-intercept form.
Answer:
y = 3/2x - 2Step-by-step explanation:
Given line3x - 2y = 14To findParallel line passing through the point (-6, -11)SolutionLet's put the given line into slope-intercept form
3x - 2y = 142y = 3x - 14y = 3/2x - 7Parallel line has same slope, the equation of the parallel line is
y = 3/2x + bFinding y-intercept using the point (-6, -11)
-11 = 3/2*(-6) + b-11= -9 + bb = -2So the line is
y = 3/2x - 23*-6-2*-11=14
-18+22=14
22=14+18
10
uwu
in the group of hundred students68 likes football 60 likes volleyball how many likes only football
Answer:
18 students.
Step-by-step explanation:
Total amount is 100
Take 68 and add to 60 to get 128.
Subtract from both numbers until you get to 50.
68 needs 18 subtracted to get to 50.
60 needs 10 to get to 50.
18 plus 10 is 28, which is the excess.
Here, 18 people like only football.
Answer:
i think 40
if 68 =likes foot ball
&60=likes volley ball
here there are available the students that likes both because 68+60=128 but the students are 100 so the students that likes both are 128-100=28
threfore the students that like only football are 40
cause the 68 likes football & the28 likes only football
so to know how many students likek foot ball evaluate like this (68-28=40)
i hope helps you
Does this graph represent a function? Why or why not?
10
8
6+
201
2+
-84
-8
-10+
A. Yes, because it passes the horizontal line test.
B. No, because it is not a straight line.
C. No, because it fails the vertical line test.
D. Yes, because it passes the vertical line test.
15 points please help!
Will mark brainliest
Answer:
C
D
E
Step-by-step explanation:
Abdul sold t-shirts and hats at a festival. He made a $6 profit for each t-shirt he told. He also made a profit of $54 from selling hats. If he made a total profit of $168, how many t-shirts did he sell?
Answer:
he sold 24 t-shirts i think...
Step-by-step explanation:
take 168 because its the total and subtract the amount he made from the hats which was 54 and you get 144 which is how much he made from selling shirts and if you divide that by 6 dollars (how much the shirts cost) you get 24
the difference between two numbers is 2 and their product 80
Answer:
the numbers are 10 and 8
Find the slope of each side of quadrilateral ABCD. Then determine whether the quadrilateral is a parallelogram.
NEED ANSWER ASAP
The quad slope is CD.
Solve the equation for x. -8(x +9) +6= - 66
Answer:
x=0
Step-by-step explanation:
First you would distribute -8 to the x and 9 to get -8x-72
Then you would put that into the rest of the equation for -8x - 72 + 6 = -66
Then you combine like terms and get -8x - 66 = -66
Then add 66 to both sides and get -8x = 0
Then divide both sides by -8 and 0 divided by -8 is 0
closest square root of 59.4
Answer:
8
Step-by-step explanation:
Answer:
the Square root is 7.7 which is rounded up to 8.
Step-by-step explanation:
Cai bought popcorn for herself and 2 friends, plus a drink
only for herself. The popcorn cost $2 for each person, and
the total cost for Cai's purchase was $7.50. If d is the
cost of a drink, which equation below could be used to
determine the cost of Cai's drink?
Answer:
$6+d=$7.50
Step-by-step explanation:
Please help me with this, it’s really important
Answer:
RST is obtuse ABC is a right angle XYZ is an acute angle
Step-by-step explanation:
Answer:
rst is obtuse ABC is a right angle xyz an acute angle
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There are 270 students at Colfax Middle School, where the ratio of boys to girls is 5:4. There are 180 students at Winthrop Middle School, where the ratio of boys to girls is 4:5. The two schools hold a dance and all students from both schools attend. What fraction of the students at the dance are girls?
Use the ratio and number of students to determine how many girls are there at Colfax Middle School.
Colfax 270 total student 5 boys 4 girls
---4 girls---/------ = x girls--------/-270 total student------
Answer:
1000
Step-by-step explanation:
Answer:
150 girls
Step-by-step explanation:
y+9 – x; use x = 1, and y = 3
Answer:
11
Step-by-step explanation:
3+9-1
12-1
11
Find the slope of a line parallel to each given line.
1) y = -x +3
2) y = -8/3x - 5
Answer:
1) m = -1
2) m = -8/3
Step-by-step explanation:
The slope is the number in front of x. If there is no number then it is one. If x is positive it will be a positive one and if x is negative it will be a negative one.
Use the slope-intercept form to find the slope.
Determine the midpoint of the line segment whose endpoints are (12, 8) and (−8, −6).
Write your answer as an ordered pair.
Answer:
(2, 1)Step-by-step explanation:
Given points
(12, 8) and (−8, −6)Midpoint is
((12 - 8)/2, (8 - 6)/2) =(4/2, 2/2) =(2, 1)