Answer:
No, a quadrilateral with the given vertices is not an isosceles trapezoid.
Step-by-step explanation:
We are given that
A(3,3), B(5,3), C(8,1), D(1,1)
Slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of AB=[tex]\frac{3-3}{5-3}=0[/tex]
Slope of BC=[tex]\frac{1-3}{8-5}=\frac{-2}{3}[/tex]
Slope of CD=[tex]\frac{1-1}{1-8}=0[/tex]
Slope of AD=[tex]\frac{1-3}{1-3}=1[/tex]
Slope of AB=Slope of CD
When slopes of two lines are equal then the lines are parallel.
Therefore, AB is parallel to CD.
When one pair of quadrilateral is parallel then the quadrilateral is trapezoid.
[tex]\implies [/tex]ABCD is a trapezoid.
Distance formula:
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Using the formula
Length of BC=[tex]\sqrt{(8-5)^2+(1-3)^2}[/tex]
Length of BC=[tex]\sqrt{9+4}=\sqrt{13}[/tex] units
Length of AD=[tex]\sqrt{(1-3)^2+(1-3)^2}[/tex]
Length of AD=[tex]\sqrt{4+4}=2\sqrt{2}[/tex]
Length of AD is not equal to length of BC.
Hence, trapezoid is not an isosceles trapezoid.
the height of a tree is 170m the lower and upper bound of it's height is
9514 1404 393
Answer:
[165, 175) meters
Step-by-step explanation:
The rule with respect to questions like this is that the bounds are ±1/2 of the place value of the least-significant digit. Here, the integer portion of the number has trailing zeros, and there is no decimal point or fractional part. Ordinarily, this combination of characteristics would signal that the trailing zeros are not significant, so the only significant digits are 1 and 7. The place value of the least significant digit is 10, so the bounds on the measurement are this number ±1/2(10) = ±5.
Of course, 175 rounds up to 180, so the upper bound is a limit, rather than an actual value. The height should be interpreted in this context as ...
165 m ≤ height < 175 m
The lower and upper bounds are 165 m and 175 m, respectively.
_____
Additional comment
The best way to avoid any ambiguity as to whether trailing zeros are significant is to use scientific notation. If a zero in the ones place is significant, that is conventionally indicated by a decimal point: "170.". If scientific notation is used, the number would be reported as 1.70×10² to indicate the trailing zero is significant.
For reference, Earth's tallest tree is a redwood just under 116 meters high.
A rectangular plot has 17 m length and 14 m width. What will be the cost
of fencing at a rate of Rs. 25 per metre?
Answer:
Step-by-step explanation:
perimeter=2(l+w)=2(17+14)=2(31)=62 m
cost of fencing=62×25=1550 Rs.
Find the value of the variable y that results in congruent triangles
Answer:
y = 5
Step-by-step explanation:
[tex]7y-10=25\\7y=35\\y=5[/tex]
How??????????????????????
Answer:
y=-1/3x+7
Step-by-step explanation:
y=mx+c
m=-1/3, c=7
y=-1/3x+7
Question 7 plz show ALL STEPS
Answer:
Function C is the only one that matches both definitions for the domain and range.
Step-by-step explanation:
First let's understand what the domain and range definitions mean in plain English.
The following statement means x is defined such that x can be any real number except for 1.
[tex]\{x | x \ne 1, x \epsilon R \}[/tex]
The following statement means y is defined such that y can be any real number except for 3.
[tex]\{y | y \ne 3, y \epsilon R \}[/tex]
So let's see what functions match those definitions. Take a look at the denominator of the functions in question 7, if we plug in x = 1 for any of them, we would be dividing by zero, which we know we can't do since the function would not be defined at that value. Therefore the domain definition is correct for all functions, we cannot use x = 1 for any of them.
Let's move on to the range. Our goal is to find a function where plugging in y = 3 would give us an undefined result. Simply plugin y = 3 into all of the given equations and simplify.
(A) We find that x = 0, and since the function is defined, we know that the range definition does not match.(B) We get the expression -12x + 9 = -3x, where x = 1. Once again the function is defined here, so the range does not match.(C) We get 3x - 3 = 3x, which simplifies to -3 = 0. But clearly -3 does not equal 0, which means the function was not defined for y = 3, which means our range definition matches.(D) We get -3x = 0, which simplifies to x = 0, which means our function is defined, and our range definition does not match.Therefore the function C is the only one that matches both definitions for the domain and range.
How do I solve |10-5| ?
Answer:
5
Step-by-step explanation:
Subtract
5
from
10
.
|
5
|
The absolute value is the distance between a number and zero. The distance between
0
and
5
is
5
.
5
Which is a direct proportion
y = -4
y = 2x + 1
y = 6
y = 2/3x
Answer:
y=2x+1
Step-by-step explanation:
y is directly proportional to x if it increases as x increases
Nedra worked 46 hours and received $6.25 per hour for regular pay and
time-and-a-half for all hours over 40 hours. What were her weekly
earnings?
a. $306.28
b. $379.50
c. $250
d. $56.28
Answer:
$306.25
Weekly earning,
6.25×40+6.25×6×1.5
= 306.25
What is the distance between (8, -3) and (4, - 7)?
Choose 1 answer:
Will GIVE YOU BRAINLIEST
Step-by-step explanation:
We'll find the distance using the all-famous "Distance Formula." You'll probably come across it quite a bit, so it's best to have it written down somewhere.
The Distance Formula: [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
Our points are (8, -3) and (4, -7), so we'll plug in those numbers accordingly.
For reference:
x2 = 4
x1 = 8
y2 = -7
y1 = -3
The calculation:
(substitute)
[tex]\sqrt{(4-8)^2+((-7)-(-3))^2 }[/tex]
(simplify)
[tex]\sqrt{(-4)^2+(-4)^2 }[/tex]
(square things)
[tex]\sqrt{16+16 }[/tex]
(add)
[tex]\sqrt{32}[/tex]
Answer:
[tex]\sqrt{32}[/tex]
Answer:
[tex]\boxed {\boxed {\sf C. \sqrt{32}}}[/tex]
Step-by-step explanation:
The distance between 2 points can be determined with the following formula.
[tex]d= \sqrt{(x_2-x_1)^2+ (y_2-y_1)^2[/tex]
In this formula, (x₁, y₁) and (x₂, y₂) are the 2 points. We want to find the distance between the points (8, -3) and (4, -7). If we match the value with its corresponding variable, then we see:
x₁= 8 y₁= -3 x₂= 4 y₂ = -7Substitute the values into the formula.
[tex]d= \sqrt{(4-8)^2+(-7--3)^2[/tex]
Solve inside the parentheses.
(4-8) = -4 (-7 - -3) = (-7+3)= -4[tex]d= \sqrt {(-4)^2+(-4)^2[/tex]
Solve the exponents.
(-4)² = -4 * -4 = 16[tex]d= \sqrt {16+16[/tex]
Add.
[tex]d= \sqrt {32}[/tex]
This radical can be simplified, but since it is an answer choice, we can leave it as is.
The distance between the points (8, -3) and (4, -7) is √32 and choice C is correct.
Find the shortest distance from
A to B in the diagram below.
Shortest distance = Displacement
And please provide the diagram
Must click thanks and mark brainliest
If 2 tacos and 5 drinks cost $20, And three tacos and five drinks cost $25 how much does a taco cost
The cost of each taco for the given problem is $5.
What is a system of linear equations?A system of linear equations can be defined as a number of equations needed to solve the equations. For n number of variables n number of equations are required.
Given that,
The cost of 2 tacos and 5 drinks cost is $20.
And, the cost of 3 tacos and 5 drinks cost is $25.
Suppose the cost of each taco and drink be x and y respectively.
Then the following equations can be written for the given case,
2x + 5y = 20 (1)
3x + 5y = 25 (2)
Subtract equation (1) from (2) to obtain,
3x + 5y - (2x + 5y) = 25 - 20
=> x = 5
Hence, the cost of a taco is $5.
To know more about linear equation click on,
https://brainly.com/question/11897796
#SPJ2
I WILL MARK AS BRAINLIES
PLEASE HELP ME AND BE CORRECT BEFORE ANSWERING
Answer:
Both are true
Step-by-step explanation:
Both are true
- Which of the following is the correct distance between the points (-5, 3) and (7,8)?
Answer:
13 units
Step-by-step explanation:
(x₁,y₁) = (-5 , 3) & (x₂ , y₂) = (7 ,8)
[tex]Distance = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}} \\[/tex]
[tex]= \sqrt{(7-[-5])^{2}+(8-3)^{2}} \\\\= \sqrt{(7+5)^{2}+(8-3)^{2}} \\\\= \sqrt{(12)^{2}+(5)^{2}}\\\\=\sqrt{144+25}\\\\=\sqrt{169}\\\\= 13[/tex]
1. Use the circle shown to answer each question a. Name the circle b. Identify a radius of the circle c. Identify a diameter of the circle d. Identify a different diameter of the circle.
evaluate -7x^2 -5 + y^2- forx = -2, y=4
Answer:
The (y^2 ) or (y^–2) It is not clear, I solved it in both ways (y^2) and (y^-2) .^_^
[tex] - 7 {x }^{2} - 5 + {y}^{2} \\ - 7( { - 2}^{2} ) - 5 + {4}^{2} \\ - 7( - 4) - 5 + 16 \\ 28 - 5 + 16 \\ = 39[/tex]
_______o_____o_______
[tex] - 7 {x }^{2} - 5 + {y}^{ - 2} \\ - 7( { - 2}^{2} ) - 5 + {4}^{ - 2} \\ - 7( - 4) - 5 + \frac{1}{16} \\ 28 - 5 + \frac{1}{16} \\ = 23.06[/tex]
I hope I helped you^_^
What is the smallest three-digit odd numb
that can be made from 2, 8,5, 1, 3?
Answer: 101
Step-by-step explanation:
.
The quinceañera (the young woman being celebrated)
dances the first part of the waltz first with her father, for
about 60 seconds.
She then dances with her padrino (godfather), for about
20 seconds.
She then dances with each of the chambelanes, the
young men she has chosen to accompany her on her
special day, for about 15 seconds each.
Bárbara's quinceañera is coming up, and she has to
choose a song that will be exactly the right length, so that
she is not stuck dancing by herself at the end of the song.
How long should her song be? Show your thinking
mathematically.
Answer:
2 minutes and 5 seconds
Step-by-step explanation:
60+20+15+15+15= 125 Seconds ( 2 minutes and 5 seconds )
I added three fifteens as I don't know the number of chambelanes.
Hope it helps!
Find the inequality represented by the graph
I'm using khan academy btw
Answer:
Step-by-step explanation:
slope of line through (0,0) and (4,3) =(3-0)/(4-0)=3/4
eq. of line is y-0=3/4(x-0)
y=3/4 x
put x=4
y=2
2=3/4×4
2=3
which is true if 2<3
2<3
so y<3/4 x
Is the function f(x) = 1/8 ^x an exponent function? If so , identify the base , if not why not ?

Yes , the base is 1/e
yes, the base is e
No, there is no base that is a positive real number not equal to 1 raised to a variable exponent.
No, the base is the reciprocal of e, a number smaller than 1.
9514 1404 393
Answer:
(a) Yes , the base is 1/e
Step-by-step explanation:
The variable is in the exponent, so this is an exponential function.
The base is the number that has the exponent. The base is (1/e).
Answer:
Step-by-step explanation:
bvxbvxbvxbvcvbbb cv
Solve the equation for y. Identify the slope and y- intercept. Then graph the equation. 2y-3x=10
Answer:
y=3/2x+5
The slope is 3/2 and the y-intercept is 5
Step-by-step explanation:
Solving for y will give us the slope and y-intercept
Isolate y
2y/2=10+3x/2
y=5+3/2x
The slope is 3/2 and the y-intercept is 5
Graph it by graphing (0,5) and using the slope (up 3 over 2) to put other points
Please help me
(3 more coming soon so if you want points you can do those too when they come out
Answer:
The choose D. 15/16
Step-by-step explanation:
[tex] 1\frac{1}{4} \times \frac{3}{4} = \frac{15}{16} [/tex]
I hope I helped you^_^
Use the information angle 8 is congruent to angle 11 to determine which lines are parallel.
A. p || q
B. l || m
C. m || n
D. l || n
Answer:
A
Step-by-step explanation:
based on line p and q
Answer: p || q
Or A
Step-by-step explanation:
good luck
HELP
F=3
J=-3
I=2
G=0
H=0
0(0(2(-3(3(1)))))=0
^^i think that is right but I need to show my work and explain
f is a function defined by
{(-3, 1), (-2, 2), (-1, -3), (0, -1), (1, 3), (2, -2), (3, 0)}
so f (1) = 3. Then
h (g (i (j (f (1))))) = h (g (i (j (3))))
j is defined by
{(-3, 0), (-2, 1), (-1, 2), (0, -1), (1, -2), (2, 3), (3, -3)}
so j (3) = -3, and
h (g (i (j (f (1))))) = h (g (i (-3)))
And so on. Next you have i (-3) = 2, then g (2) = 0, and finally, h (0) = 0, so your answer is correct.
The sum of three numbers is 72 the second number is three times the third the third number is eight more than the first what are the numbers
Answer:
Our three numbers are 8, 48, and 16.
Step-by-step explanation:
Let the first, second, and third numbers be x, y, and z, respectively.
The sum of them is 72. In other words:
[tex]x + y + z = 72[/tex]
The second number y is three times the third number z. So:
[tex]y = 3z[/tex]
And the third number z is eight more than the first number x. So:
[tex]z = x + 8[/tex]
To find the numbers, solve for the system. We can substitute the last two equations into the first:
[tex]x + (3z) + ( x + 8) = 72[/tex]
Substitute again:
[tex]\displaystyle x + 3(x+8) + x+8 = 72[/tex]
Solve for x. Distribute:
[tex]x+3x+24+x+8=72[/tex]
Combine like term:
[tex]5x + 32 = 72[/tex]
Subtract:
[tex]5x = 40[/tex]
And divide:
[tex]x=8[/tex]
Thus, the first number is eight.
And since the third number is eight more than the first, the third number z is 16.
The second number is three times the third. Thus, the second number y is 3(16) or 48.
Our three numbers are 8, 48, and 16.
The faces of all prisms are _____________.
triangles
circles
parallelograms
trapezoids
200m^4+80m^3+8m^2=0
I got m = 0, -5 but I could be wrong
Answer:
m= 0, -0.2
Step-by-step explanation:
that's what I got when I did it
Answer:
m = 0m = -1/5m = -1/5Step-by-step explanation:
200m^4 + 80m^3 + 8m^2 = 0
~Factor
8m²(5m + 1)(5m + 1) = 0
~Set everything to equal 0 and solve
8m² = 0 → m² = 0 → m = 0
5m + 1 = 0 → 5m = -1 → m = -1/5
5m + 1 = 0 → 5m = -1 → m = -1/5
Best of Luck!
Topic: The Quadratic Formula
Progress:
The movement of the progress bar may be uneven becouse questions can be worth more or less (including zero) depending
your answer
Match each equation on the left with the number and type of its solutions on the right.
x + 3x – 4= 0
two complex (nonreal) solutions
x2 + 3x + 4 = 0
two real solutions
4x² + 1 = 4x
one real solution
Clear
Click and hold an item in one column, then drag it to the matching item in the other column. Be sure your
the target before Feleasing. The target will highlight or the cursor will change. Need help? Watch this vide
Answer:
Step-by-step explanation:
The quadratic formula for a equation of form
ax²+bx + c = 0 is
[tex]x= \frac{-b +- \sqrt{b^2-4ac} }{2a}[/tex]
For the first equation,
x²+3x-4=0,
we can match that up with the form
ax²+bx + c = 0
to get that
ax² = x²
divide both sides by x²
a=1
3x = bx
divide both sides by x
3 = b
-4 = c
. We can match this up because no constant multiplied by x could equal x² and no constant multiplied by another constant could equal x, so corresponding terms must match up.
Plugging our values into the equation, we get
[tex]x= \frac{-3 +- \sqrt{3^2-4(1)(-4)} }{2(1)} \\= \frac{-3+-\sqrt{25} }{2} \\ = \frac{-3+-5}{2} \\= -8/2 or 2/2\\= -4 or 1[/tex]
as our possible solutions
Plugging our values back into the equation, x²+3x-4=0, we see that both f(-4) and f(1) are equal to 0. Therefore, this has 2 real solutions.
Next, we have
x²+3x+4=0
Matching coefficients up, we can see that a = 1, b=3, and c=4. The quadratic equation is thus
[tex]x= \frac{-3 +- \sqrt{3^2-4(1)(4)} }{2(1)}\\= \frac{-3 +- \sqrt{9-16} }{2}\\= \frac{-3 +- \sqrt{-7} }{2}\\[/tex]
Because √-7 is not a real number, this has no real solutions. However,
(-3 + √-7)/2 and (-3 - √-7)/2 are both possible complex solutions, so this has two complex solutions
Finally, for
4x² + 1= 4x,
we can start by subtracting 4x from both sides to maintain the desired form, resulting in
4x²-4x+1=0
Then, a=4, b=-4, and c=1, making our equation
[tex]x=\frac{-(-4) +- \sqrt{(-4)^2-4(4)(1)} }{2(4)} \\= \frac{4+-\sqrt{16-16} }{8} \\= \frac{4+-0}{8} \\= 1/2[/tex]
Plugging 1/2 into 4x²+1=4x, this works as the only solution. This equation has one real solution
A line passes through the point (-1, -9) and has a slope of -7.
What would be the equation for this line?
Answer:
y = -7x - 16
Step-by-step explanation:
The formula for the equation of a line is y=mx+b, where m is the slope and b is the y-intercept. Since we already know the slope, all that is left is the value of b, which can be found by substituting the values of the point (-1, -9) into the equation and solving:
[tex]-9=-7(-1)+b[/tex]
[tex]-9=7+b[/tex]
[tex]b=-9-7=-16[/tex]
With this, we get the value -16, making the equation y = -7x - 16
Subtract.
7x2-5x+3
-(2x2 + 7X - 4)
Answer:
5x^2-12x+7
Step-by-step explanation:
7x^2-5x+3-(2x^2 + 7X - 4)
Distribute the minus sign
7x^2-5x+3 - 2x^2 - 7X + 4
Combine like terms
5x^2-12x+7
Answer:
-12x + 17
Step-by-step explanation:
hope this helps!
Please help to solve this.
Find sin5x,if sinx+cosx=1,4
Answer:
Hello,
Step-by-step explanation:
we must first remember that:
[tex]\boxed{sin(5x)=5sin(x)-20*sin^3(x)+16*sin^5(x)}\\\\[/tex]
Let say t=sin(x)
[tex]sin(x)+cos(x)=1.4\\\\t+\sqrt{1-t^2}=1.4\\\sqrt{1-t^2}=1.4-t\ we\ square\\1-t^2=1.4^2+t^2-2.8*t\\2t^2-2.8*t+0.96=0\\\Delta=2.8^2-4*2*0.96=0.16=0.4^2\\\\t=\dfrac{2.8-0.4}{4} =0.6\ or\ t=\dfrac{2.8+0.4}{4}=0.8\\\\t^3=0,216\ or\ t^3=0,512\\\\t^5=0,07776\ or\ t^5=0,32768\\\\\boxed{sin(5x)=5*0.6-20*0.216+16*0.07776=-0,07584}\\\\or\\\\\boxed{sin(5x)=5*0.8-20*0.512+16*0.32768=-0,99712}[/tex]
