Answer:
your answer is $26.99
Step-by-step explanation:
(a) Construct, using a compass and straightedge, the midpoint of UV and label it M. Then
draw TM, the median from 2T to side UV.
(b) Prove algebraically that the median TM is not perpendicular to UV. Explain.
Please helpppppp
Step-by-step explanation:
a) for the first part, you take your compass and stretch it more than halfway on to line UV. Place the fixed point at V and draw a curve. make sure you keep your compass the same size, put the fixed part of your compass on point U and draw a curve again. both curves should go both upward and downward. Now, your curves should meet at two points. use your straight edge to draw the line that meets at both points. I have drawn an example of what it should approximately look like. for the second part you are simply using your straight edge to draw a line from T down to the median M you previously found. I have drawn a second picture to show you.
b) now to check if they are perpendicular, we must find the slope of each line. I will not be able to do this accurately since I didn't use an exact method to find M, so you must follow my steps.
Step 1: find the slope of UV. To do so, we must take two points from the line. I will take points U and V because they are easiest to see. To find the slope, we can use the equation:
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
where m is the slope.
so, let's define our points.
Point V is (4,4), let's call this point one.
Point U is (14,6), let's call this point two.
So,
x1= 4
y1= 4
and
x2= 14
y2= 6
now, we can plug these into our slope equation.
[tex]m = \frac{6 - 4}{14 - 4} = \frac{2}{10} = \frac{1}{5} [/tex]
You must then use the points T and M in order to solve the second slope. Where T is (2,12). I will keep M as (x1, y1) for now.
The equation should then look like:
[tex]m = \frac{2 - y1}{12 - x1} [/tex]
now, in order for it to be perpendicular to our original slope, it must be the opposite reciprocal, which is the number flipped and made negative. The opposite reciprocal of 1/5 will be -5.
It should NOT be, as we have been told. So, we can state:
"I know that TM is not perpendicular to UV because the UV has a slope of 1/5 and TM has a slope of x, which is NOT the opposite reciprocal on 1/5."
Hope this helps! :)
The base edge of the regular triangular pyramid is b=10 cm and altitude of the base hb ≈ 8.66 cm. The slant height of the pyramid is k=8 cm. Find: a Lateral area of the pyramid
Answer:
Lateral Area: 120
Surface Area: 163.3
Please help i'm really stuck!
Answer:
Step-by-step explanation:
3x + 4y = 12
4y = -3x +12
y = (-3/4)X + 12/4
y = -[tex]\frac{3}{4}[/tex]X + 3
Ezgi's mom took Ezgi and her five friends to the circus for her birthday party. Her mom got a $12.50 ticket
and the same snack for each child from the concession stand. She paid $105 for all of the tickets and
snacks.
Which equations represent this situation, where s represents the cost of one snack in dollars?
Select all that apply.
Answer:
5*(s+12) = $105
Step-by-step explanation:
5 snacks + 5 tickets makes the total 105 so the equation
5*(s+12) = $105 is the answer to the question.
A rectangular ink pad is 10 centimeters tall and 15 centimeters wide.
What is its area?
Answer:
15000000000000000000000000000000000000000000
Step-by-step explanation:
Answer:
150 centimeters
Step-by-step explanation:
just multiply!
hope this helps :)
Explain what the equation 3x = 6 means without using the word equal. Explain why 2 is a solution of the equation.
Answer:
See explanation
Step-by-step explanation:
Given
[tex]3x = 6[/tex]
Solving (a): What the expression means
3 when multiplied by x, gives 6
Solving (b): Why 2 is the solution
We have:
[tex]3x = 6[/tex]
Divide both sides by 3
[tex]\frac{3x}{3} = \frac{6}{3}[/tex]
[tex]x = \frac{6}{3}[/tex]
[tex]x = 2[/tex]
Assume a 14-inch pizza can be purchased as a whole pizza, a half pie, or one of 8 slices. Determine
the
area of each of those options. Explain how you found the 8 slice amount
Answer:
The diameter of the pizza = 14 in
Radius of the pizza = (14/2)in = 7in
Area of a whole pizza =
πr^2
=( 22/7 × 7^2)in^2
=( 22/7 × 49)in^2
154 in^2
Area of a half pie =( 1/2 × 154)in^2 = 77in^2
Area of one of 8 slices = (1/8 × 154)in^2 = 19.25in^2
Hope it helps
help pleaaseeeeeeeee..
Answer:
Step-by-step explanation:
Rectangle 4 sides, 4 right angles, and opposite Parallel sides
Rhombus 4 sides, all sides equal length, and 4 acute angles.
I am 100% positive this answer is correct plz mark as brainliest
Write the equation of the parabola in vertex form.
vertex(2,1),points (1,-4)
F(x)=?
Step-by-step explanation:
The general vertex form is given by
[tex]y = a {(x - h)}^{2} + k[/tex]
where (h, k) is the vertex and a is a constant. So we can write the y as
[tex]y = a {(x - 2)}^{2} + 1[/tex]
To find the value of a, substitute the point (1, -4)
-4 = a(1 - 2)^2 + 1
or a = -5
Therefore, the vertex form of the parabola is
[tex]y = - 5 {(x - 2)}^{2} + 1[/tex]
et f(x)=2\ln(x+4)f(x)=2ln(x+4)f, left parenthesis, x, right parenthesis, equals, 2, natural log, left parenthesis, x, plus, 4, right parenthesis and let g(x)=\dfrac23x+1g(x)= 3 2 x+1g, left parenthesis, x, right parenthesis, equals, start fraction, 2, divided by, 3, end fraction, x, plus, 1. The graph of y=f(x)y=f(x)y, equals, f, left parenthesis, x, right parenthesis is shown below. Use the interactive graph to sketch a graph of y=g(x)y=g(x)y, equals, g, left parenthesis, x, right parenthesis. LinearAbsolute_valueQuadraticExponentialLogarithm Let x_1x 1 x, start subscript, 1, end subscript and x_2x 2 x, start subscript, 2, end subscript be solutions of \,2\ln(x+4)=\dfrac23x+12ln(x+4)= 3 2 x+12, natural log, left parenthesis, x, plus, 4, right parenthesis, equals, start fraction, 2, divided by, 3, end fraction, x, plus, 1, where x_1
Answer:
x=-3.5 , the points of the graph are 0,1 and 3,3
Step-by-step explanation:
hii please help i’ll give brainliest
12.50x = 15 What is the value of x? What is the percent increase?
Answer:
x = 1.2
Step-by-step explanation:
12.50x = 15
12.50/12.50 x = 15/12.50
x = 1.2
(Sorry i dont understand what you mean by percent increase)
Find the correct values for the variables that make the statement.
Answer:
hey:)
H= 90+33=123
180-123=57
so:
H=57°
Marcia walked 900 meters on Friday. On Saturday, she walked 4 kilometers, On Sunday, she walked 3 kilometers,600 meters. How many kilometers did Marcia walk over all three days? Pls help!
Answer:8.5km
Step-by-step explanation:
expanding triple brackets, i will give brainliest
Answer:
[tex] {x}^{3} + {x}^{2} −24x+36[/tex]
Step-by-step explanation:
[tex](x + 6)(x - 2)(x - 3)[/tex]
[tex][x(x−2)+6(x−2)](x−3)[/tex]
[tex]( {x}^{2} −2x+6x−12)(x−3)[/tex]
[tex]( {x}^{2} +4x−12)(x−3)[/tex]
[tex] {x}^{3} + {x}^{2} −24x+36[/tex]
Hope it is helpful....What is the measure of x?
Answer:
Hello! answer: x = 68
Step-by-step explanation:
This is a complementary angle meaning it will add up to 90 degrees 90 - 22 = 68 therefore x = 68 HOPE THAT HELPS!
SOLVE FOR X PLEASE HELP LEAVE IN FRACTION AND DECIMAL
Answer:
[tex]x = \frac{22}{3}[/tex]
Step-by-step explanation:
Since both CB and ED intersect AD perpendicularly, we can say they are parallel and that ΔACB is similar to ΔAED from Thales intercept theorem. Now, we can set up a proportion from the definition of similar triangles:
[tex]\frac{AB}{AD} = \frac{BC}{DE}[/tex]
We can say that AD = AB + BD(segment addition postulate) and substitute to get AD = 11. Now we can plug in the numbers we have to the proportion:
[tex]\frac{6}{11} =\frac{4}{x}[/tex]
We can cross-multiply to get:
[tex]6x = 44[/tex]
and divide by 6 to get
[tex]x = \frac{22}{3}[/tex]
Which function has a maximum that is greater than the maximum of the graph g(x)?
O y = (x + 3)2 + 2
y=-5 (x+3)2 + 4
O y=- } (x - 2)2 +3
O
y = (x - 2)2 + 4
You are jumping off the 12 foot diving board at the municipal pool. You bounce up at 6 feet per second and drop to the water your height h (in feet) above the water in terms of t seconds is given by h(t)=-16t^2+6t+12
When do you hit the water?
What is your maximum height?
Answer:
When do you hit the water?
1.075 seconds after you jump.
What is your maximum height?
the maximum height is 12.5626 ft
Step-by-step explanation:
The equation:
h(t) = -16*t^2 + 6*t + 12
Is the height as a function of time.
We know that the initial height is the height when t = 0s
h(0s) = 12
and we know that the diving board is 12 foot tall.
Then the zero in h(t)
h(t) = 0
Represents the surface of the water.
When do you hit the water?
Here we just need to find the value of t such that:
h(t) = 0 = -16*t^2 + 6*t + 12
Using the Bhaskara's formula, we get:
[tex]t = \frac{-6 \pm \sqrt{6^2 - 4*(-16)*12} }{2*(-16)} = \frac{-6 \pm 28.4}{-32}[/tex]
Then we have two solutions, and we only care for the positive solution (because the negative time happens before the jump, so that solution can be discarded)
The positive solution is:
t = (-6 - 28.4)/-32 = 1.075
So you hit the water 1.075 seconds after you jump.
What is your maximum height?
The height equation is a quadratic equation with a negative leading coefficient, then the maximum of this parabola is at the vertex.
We know that the vertex of a general quadratic:
a*x^2 + b*x + c
is at
x = -b/2a
Then in the case of our equation:
h(t) = -16*t^2 + 6*t + 12
The vertex is at:
t = -6/(2*-16) = 6/32 = 0.1875
Evaluating the height equation in that time will give us the maximum height, which is:
h(0.1875) = -16*(0.1875 )^2 + 6*(0.1875) + 12 = 12.5626
And the height is in feet, then the maximum height is 12.5626 ft
You hit the water 1.075 seconds after you jump.
The maximum height is 12.56.
Given that,
You are jumping off the 12-foot diving board at the municipal pool.
You bounce up at 6 feet per second and drop to the water your height h (in feet) above the water in terms of t seconds is given by,
[tex]\rm h(t)=-16t^2+6t+12[/tex]
We have to determine,
When do you hit the water?
What is your maximum height?
According to the question,
You bounce up at 6 feet per second and drop to the water your height h (in feet) above the water in terms of t seconds is given by,
[tex]\rm h(t)=-16t^2+6t+12[/tex]
1. The initial height is the height when t = 0 second,
[tex]\\\rm h(t)=-16t^2+6t+12\\\\\rm h(0)=-16(0)^2+6(0)+12\\\\ h(0) = 12[/tex]
And the diving board is 12 feet tall.
Then the zero in h(t)
h(t) = 0
When h(t) = 0 represent the surface of the water,
[tex]\rm h(t)=-16t^2+6t+12\\\\\rm -16t^2+6t+12 =0\\\\8t^2-3t-6=0\\\\x = \dfrac{-(-3)\pm \sqrt{(-3)^2-4\times8\times(-6)}}{2\times 8}}\\\\x = \dfrac{3\pm \sqrt{9+192}}{16}}\\\\x = \dfrac{3\pm \sqrt{201}}{16}}\\\\x = \dfrac{3\pm 14.77}{16}}\\\\ x = \dfrac{3+14.77}{16} \ and \ x = \dfrac{3-14.77}{16} \\\\x = \dfrac{17.77}{16} \ and \ x = \dfrac{-11.77}{16} \ \\\\ x = 1.075 \ and \ x = -0.855[/tex]
The value of x can not be negative then the value of x is 1.075.
Therefore, you hit the water 1.075 seconds after you jump.
2. The maximum height is reached by you, you first derivative the function h(t) with respect to t:
[tex]\rm \dfrac{dh(t)}{dt} = \dfrac{d(-16t^2+6t+12)}{dt}\\\\\rm \dfrac{dh(t)}{dt} = \dfrac{d(-16t^2)}{dt} +\dfrac{d(6t)}{dt}+\dfrac{d(12)}{dt}\\\\\rm \dfrac{dh(t)}{dt} = 2\times (-16t) + 6\times 1+0\\\\ \dfrac{dh(t)}{dt} = -32t+6\\\\[/tex]
To find the maximum height the value first derivative is equal to zero.
[tex]\rm \dfrac{dh(t)}{dt} = 0\\\\-32t+6=0\\\\-32t=-6\\\\t = \dfrac{6}{32}\\\\t = \dfrac{3}{16}\\[/tex]
Substitute the value of t in the equation to find the maximum height,
[tex]\rm h(\dfrac{3}{16})=-16(\dfrac{3}{16})^2+6(\dfrac{3}{16})+12\\\\ h(\dfrac{3}{16})=-(\dfrac{9}{16})+6(\dfrac{3}{16})+12\\\\ h(\dfrac{3}{16})=-\dfrac{-9}{16}+\dfrac{18}{16}+12\\\\ h(\dfrac{3}{16})= \dfrac{-9+18+192}{16} \\\\ h(\dfrac{3}{16}) = \dfrac{201}{16}\\\\h(\dfrac{3}{16}) = 12.56[/tex]
Hence, The maximum height is 12.56.
For more details refer to the link given below.
https://brainly.com/question/20120328
Are -c and 4c like terms?
Answer:
Yes
Step-by-step explanation:
Like terms are terms that have the same variables.
-c and 4c have the same variables. If it helps, -c can also be written as -1c. Both terms have the variable c.
I hope this helps!
15 points !!! will mark brainiest if you get correct !!!
determine wether each sequence is arithmetic or geometric. find the next three terms.
(question) 14, 19,24, 29, . . .
A: geometric, 34, 39, 44
B: arithmetic, 32, 36, 41
C: arithmetic, 34, 39, 44
D: the sequence is neither geometric nor arithmetic.
(question) -4, 8, -16, 32, . . .
A: arithmetic, 64, 128, 256
B: geometric, -64, 128, -256
C: geometric, -48, 64, -80
D: the sequence is neither geometric nor arithmetic.
(question) 81, 27, 9, 3, . . .
A: arithmetic, 0, -3, -6
B: geometric, 0, -3, -6
C: geometric, 1, 1/3, 1/9
D: the sequence is neither geometric nor arithmetic.
Step-by-step explanation:
1. C:arithmetic, 34, 39, 44
2. B: geometric, -64, 128, -256
3. C: geometric, 1, 1/3, 1/9
I’ll give brainliest
Completed a full explanation of statistics with explanation and examples ?
Answer: Hope This Helps!
Step-by-step explanation:
Statistic Definition: A mathematical science concerned with data collection, presentation, analysis, and interpretation
Examples: "Statistics is the only mathematical field required for many social sciences." and "The statistics from the Census for apportionment are available."
Pls hurry , timed test
Answer:
c
Step-by-step explanation:
Give the most specific name for the quadrilateral. Explain your reasoning.
Answer:
Kite because it has two pairs of opposite sides and opposite angles that are equal .
SOMEONE PLEASEEEEW HELP ME OUTTT
Answer:
By Double splitting method=> 2x²-7x+5
=> 2x²-2x-5x+5
=>2x(x-1)-5(x-1)
=>(2x-5)(x-1)x=5/2x=1______________
Hope it helps
-------☆ﾟ.･｡ﾟƒöᏝϗʆѻʁᶥąռ¹₃
Answer:
Factorise 2x^2-7x+5Step-by-step explanation:
2x^2-7x+52x^2-2x-5x+52x(x-1)-5(x-1)(2x-5)(x-1) 2x-5 =0 or x-1 =0 2x=5 x=1 x=5/2 Therefore either x =5/2 or x=1hope it helpsSuppose that 13 inches of wire costs 78 cents.
At the same rate, how much (in cents) will 7 inches of wire cost?
Answer:
$0.42
Step-by-step explanation:
create a proportion:
13/.78 = 7/x
cross-multiply to get:
13x = 7(.78)
13x = 5.46
x = 5.46/13
x = .42
In April, it rained 5 inches. In June, it rained 0.25 inch.
How many more inches did it rain in April?
You start at (9, 9). You move left 6 units, Where do you end?
Answer:
(3,9)
Step-by-step explanation:
9-6 = 3
Out of a group of 20 volunteers, 14 people are chosen to participate in a survey about the number of hours of television they watch each week. What is the sample in this situation?
Answer:
Step-by-step explanation:
im ka$hdami a 16yr old rapper i made the viral songs (reperations) (Look N the Mirror) and (Kappin Up) check out my new songs out on all platforms
write an equation
(-2,4) and (-1,8)
Answer:
2(-2,4) + 2(-1,8)=-8.4
Step-by-step explanation:
2x-2
2x4
2x-1
2x8
-8.4