PLEASE HELP! I REALLY NEED THESE ANSWERS!
A right triangle is formed in the first quadrant by the x- and y- axes and a Straight line through the point (2,3). The other vertices are (0,0) (0,Y) (X,0).
a) Write the length L of the hypotenuse as a function of x
b) Find the vertices of the triangle such that its are is a minimum
Answer:the triangle has (2,) and (0, 4) as its vertices for a maximum area
Step-by-step explanation:let P(x,0) be the x-intercept and Q(0,y) be the y-intercept
label (1,2) as A(1,2)
the slope AP = slope AQ
-2/(x-1) = (2-y)/1
2x - xy - 2 + y = -2
y(1-x) = -2x
y = -2x/(1-x) or 2x/(x-1)
H^2 = x^2 + y^2
= x^2 + ( (2x/(x-1) )^2 --- simplify if needed
(don't know why we are finding the hypotenuse ? )
Area of triangle OPQ
= (1/2)base x height
= (1/2)xy
= (1/2)x(2x/(x-1))
= (1/2) (2x^2/(x-1) )
dA/dx = (1/2) [ (x-1)(4x) - 2x^2(1) ]/(x-1)^2
= (1/2) [ 4x^2 - 4x - 2x^2 ]/(x-1)^2
= 0 for a max of A
2x^2 - 4x = 0
x(2x-4) = 0
x=0 ---- > makes no sense, look at diagram
or
x = 2
then y = 2(2)/(2-1) = 4
the triangle has (2,) and (0, 4) as its vertices for a maximum area
Answer:
Heyyyy
Step-by-step explanation:
can someone plz do both of these will mark brainleist
Answer:
Step-by-step explanation:
2.b=90
1.30
Answer:
Step-by-step explanation:
6. You're gonna use Cos to find Y
Cos = adj/hyp
Cos 27 = 10/y
10/cos27 = y
11.2 = y
7. It'll help immensily if you draw this one out.
You're gonna use Sin to find the angle.
Sin = opp/hyp
Sin 65 = 14/x
14/sin65 = x
15.4 = x
The prism shown has a volume of 35 cm.
Work out h, the height of the triangular cross section.
h
7 cm
4 cm
Answer:
the height is 2.5 cm
Step-by-step explanation:
The computation of the height of the triangular section is shown below:
As we know that
Volume = One-half × base × height
35 = One-half × 4 × height × 7
So, the height is 2.5 cm
Answer:
Height = 2.5cm
Step-by-step explanation:
Volume = Base(b) x Height(h) x Length(l) / 2
Substitute the information that you have into the equation
Volume = 4 x Height(h) x 7 / 2
Height = 4x7 / 2
= 14cm
35 / 14
= 2.5cm
How can I factorise expressions
Answer:
The first step of factorising an expression is to 'take out' any common factors which the terms have. So if you were asked to factorise x² + x, since x goes into both terms, you would write x(x + 1) . This video shows you how to solve a quadratic equation by factoring.
Step-by-step explanation:
The length of two sides of a right triangle are leg:
10 m and hypotenuse: 15 m.
Find the length of the third side.
Answer:
11.2m
Step-by-step explanation:
Using Pythagoras,
a²+b²=c²
10²+b²=15²
100+b²=225
b²=225-100
b²=125
b=√125
b=11.2m
In a hostel, 120 students consume 2160 kg of rice per month. How much rice will be consumed by 80 students in a month?
Answer:
1440kg of rice
Step-by-step explanation:
2160kg/120 students gives 18kg of rice per student per month. Take that
18kg*80people gives you 1440kg of rice for 80 students
Multiply and simplify. Plz show work!
(3x − 2)(5x^2 − 7x + 2)
Answer:
15^3−31^2+20−4
Step-by-step explanation:
Distribute
(3−2)(5^2−7+2)
3(5^2−7+2)−2(5^2−7+2)
Distribute
3(52−7+2)−2(5^2−7+2)
15^3−21^2+6−2(5^2−7x+2)
Distribute
15^3−21^2+6−2(5^2−7+2)
15^3−21^2+6−10^2+14−4
Combine like terms
15^3−21^2+6−10^2+14−4
15^3−31^2+6+14−4
Combine like terms
15^3−31^2+6+14−4
15^3−31^2+20−4
Solution
15^3−31^2+20−4
One of the students is chosn at random. What is the probability of picking a student who sciored above 65
Answer: 7 / 18
Step-by-step explanation:
There were 18 students.
Out of them, the scores above 65 are:
73, 73, 69, 68, 71, 76, 70
There are 7 of them.
Probability of picking someone who scored higher than 65 is:
= Number of people who scored above 65/ Total number who took the test
= 7 / 18
Please help with this question:
Tell whether a triangle can have the sides with the given lengths 12, 13, and 24
Answer:
yes
Step-by-step explanation:
as long as the two shortest sides add up to more than the longest side then a triangle can be made with those side lengths
what is 10 to the 100th power
Answer:
EZ!!! 1e+100
Step-by-step explanation:
What is the total surface area??? PLEASE HELP ME
Answer:
56 +136 add the rest
Step-by-step explanation:
For each of the following, select the correct words from the word bank to complete each statement.
Angles opposite one another that share a vertex are called
Answer
angles. When one of these angles undergoes a rigid transformation so that it fits exactly over the other, we know that the typ angles are
Answer
When two parallel lines are crossed by another line called the
Answer
the angles created inside the parallel lines but on opposite sides of the crossing line are called
Answer
Answer
angles. Angles of this type have the same measurement as one another. Two figures are
Answer
if one can fit exactly over the other after rigid transformations and dilations.
corresponding
vertical
image
congruent
trasmission
transversal
perpindicular
alternate
exterior
interior
dissimilar
similar
Answer:
Angles opposite one another that share a vertex are called vertical angles.
When one of these angles undergo a rigid transformation so that it fits exactly over the other, we know that the two angles are congruent
When two parallel lines are crossed by another line called the transversal the angles created inside the parallel lines but on opposite sides of the crossing lines are called alternate interior angles. Angles of this type have the same measurement as one another. Two figures are similar if one can fit exactly over the other after rigid transformations and dilations
Step-by-step explanation:
Vertically opposite angles are always equal (congruent)
The transversal line is the line that crosses two or more parallel lines
Alternate interior angles formed by two parallel lines crossed by a common transversal, are congruent
Two plane geometric figures are similar if they their corresponding interior angles are congruent
Using the graph, determine the coordinates of the roots of the parabola
Answer:
two points
Step-by-step explanation:
x intercepts
a line has this equation:y=1/4x-1. what’s a perpendicular line that goes through (3,-8)
Answer:
y = -4x + 4
Step-by-step explanation:
y = (1/4)x - 1
m = (1/4)
Slope of the line perpendicular to this line = -1/m = -1 ÷ (1/4)
[tex]= (-1)*\frac{4}{1}\\\\=-4[/tex]
(3 , -8)
y - y1 =m(x -x1)
y -[-8] = -4(x - 3)
y + 8 = -4x + 12
y = -4x + 12 - 8
y = -4x + 4
70 pointsss for the correct answer
When the function f(x) is divided by 4x−5, the quotient is 3x^2 −x+3 and the remainder is −2. Find the function f(x) and write the result in standard form.
Answer:
Step-by-step explanation:
f(x) = (4x-5)(3x²-x+3) - 2
= (12x³-4x²+12x)-(15x²-5x+15) -2
= 12x³ - 19x² + 17x - 17
8=3a-4 please help quickly plssssssss
Answer:
a = 4
Step-by-step explanation:
Answer: a=4
Step-by-step explanation:
leah buys 3 adult and 3 child bus passes for a trip. the costs of an adult pass is a. the costs of a child pass is c. write an expression that will show the costs for all of the bus passes for the trip.
Answer:
6
Step-by-step explanation:
Plz help due tomorrow if correct ill give brailiest
i’m stuck on these questions
Answer:
In my opinion both of the lines are tangent.
Step-by-step explanation:
Because a tangent to a circle is a straight line which touches the circle at only one point. This point is called the point of tangency. The tangent to a circle is perpendicular to the radius at the point of tangency.
here are 4 red cards and 8 black cards in a bag. How likely is it that you will randomly draw a blue card?
a
Impossible
b
Unlikely
c
As likely as not
d
Likely
e
Certain
Answer:
I would say B?
Step-by-step explanation:
Hope this helps (:
HELP
Observe the graph below.
The graph shows a ___ function that is asymptotic to ____
Answer:
The graph shows a LOGARITHMIC function that is asymptotic to X=1
Step-by-step explanation:
Katrin is making a poster for school elections. She draws a line 20.4 centimeters long across the poster board. She starts at one end of the line and makes a mark every 3.4 centimeters along it. She plans to write the letters of her name in the spaces between the marks. Will Katrin make enough spaces for each letter of her name to go in one space? Explain how you know.
Someone please help with this math problem!!!
Answer:
15
Step-by-step explanation:
-18=d+4 plZ hurry thank you so much have a great day
Answer:
d = - 22
Step-by-step explanation:
- 18 = d + 4 ( subtract 4 from both sides )
- 22 = d
In order to raise money for road repairs, the bridge toll is going to increase 130% next month. If the bridge toll is currently $2.50, how much will the toll be after the increase?
A.$0.75
B. $3.25
C. $4.80
D. $5.75
Harvey and Dona want to test the range of the walkie-talkies they have. They start at Harvey's house and walk away from each other. Harvey goes to the store 4 miles away to the East and Dona goes to the park 5 miles West. How far apart are the walkie-talkies?
i just need the answer lol
Answer:
C and D
Step-by-step explanation:
They are both roots of the equation.
hi does 1/6 -3 √7, -6/5 come first when the numbers are listed from least to greatest
Answer:
I think Yes im not exactly sure
Step-by-step explanation:
Adrian purchased a new car in 1990 for $24,900. The value of the car has
been depreciating exponentially at a constant rate. If the value of the car was
$13,500 in the year 1994, then what would be the predicted value of the car
in the year 1999, to the nearest dollar?
Answer:
Multiply it by 4 and divide it by 100. It should be1,100. Now multiply it by12. it should be 13200 . Now subtract that to the original price. 14300
Step-by-step explanation:
PLEASE rate follow and thank
Answer: 6281
Step-by-step explanation:
Lisa is going on a 3 3/4 mile hike. She has already hiked 1 1/4 miles. How many more miles does she have left to hike?
Answer:
C = 2½ miles.
Step-by-step explanation:
Let the total distance be A
Let the distance covered be B.
Let the unknown distance (distance left) be C.
Given the following data;
A = 3¾ miles
B = 1¼ miles
To find the distance left to hike;
A = B + C
Substituting into the equation, we have;
3¾ = 1¼ + C
C = 3¾ - 1¼
C = (3 - 1) ¾ - ¼
C = 2 2/4
C = 2½ miles.
Method II.
We would convert the mixed fraction into a proper fraction:
A = 3¾ = (4*3 + 3)/4 = 15/4
B = 1¼ = (4*1 + 1)/4 = 5/4
C = 15/4 - 5/4
C = 10/4
C = 5/2
C = 2½ miles.