Answers
Answer:
GH = 15
Step-by-step explanation:
In a trapezoid, the length of the median is one-half the sum of the lengths of the bases. Therefore:
[tex]9x - 3 = \frac{1}{2} (19 + 5x + 1)[/tex]
[tex]18x - 6 = 5x + 20[/tex]
[tex]13x = 26[/tex]
[tex]x = 2[/tex]
[tex]9(2) - 3 = 18 - 3 = 15[/tex]
Related Questions
If the two spinners below are spun, what is the probability that the numbers will match? 1/4 1/6 1/12 1/3
Answers
Answer:
1/4
Step-by-step explanation:
Probability of getting a number on Spinner 1 = 1/3Probability of getting a number on Spinner 2 = 1/4Sample Space = 12 entriesSample Space
{(1,1)(1,2)(1,3)(1,4)(2,1)(2,2)(2,3)(2,4)(3,1)(3,2)(3,3)(3,4)}Probability of getting the same number = 3/12 = 1/4Identify the rational function whose graph is given below. Note the x-intercept of the graph is x=4 and the y-intercept of the graph is y=−3. The graph has one vertical asymptote at x=2
Answers
Using the vertical asymptote of the function, it is found that it is given by:
[tex]f(x) = -1.5\frac{(x - 4)}{x - 2}[/tex]
What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.In this problem, the x-intercept of the graph is x=4, hence the numerator is a(x - 4).
The graph has one vertical asymptote at x=2, hence the denominator is x - 2.
Hence:
[tex]f(x) = \frac{a(x - 4)}{x - 2}[/tex]
The y-intercept of the graph is y=−3, hence:
[tex]-3 = \frac{a(0 - 4)}{0 - 2}[/tex]
[tex]-4a = 6[/tex]
[tex]a = -1.5[/tex]
Thus, the function is:
[tex]f(x) = -1.5\frac{(x - 4)}{x - 2}[/tex]
More can be learned about asymptotes at https://brainly.com/question/16948935
Krista Kellman has an opportunity to purchase a government security that will pay $200,000 in 5 years.
Answers
Which of the following numerical expressions results in a positive number?
A (-12) - (-21) - 10
B (-12) - (-21)
C 12 - 21
D (-21) – (-12)
Answers
B = 9
C = - 9
D = - 9
B
Which of the following polynomials corresponds to the subtraction of the multivariate polynomials 19x3+
44x2y + 17 and y3 - 11xy2 + 2x2y - 13x3?
31X3.6 x3 +44 x2y + 11 xy2 +17
32 x3 - y3 + 42 x2y + 11 xy2 + 17
y3 - 6x3 + 33 x2y+ 2 xy2 + 17
20 x2 - y2 + 33 x2y+ 2 xy2 + 17
Answers
Answer:
(b) 32x^3 - y^3 + 42x^2y + 11xy^2 + 17
Step-by-step explanation:
To find the difference of the polynomials, write the equation expressing the difference, then simplify.
(19x^3 +44x^2y + 17) - (y^3 -11xy^2 +2x^2y -13x^3)
= (19 -(-13))x^3 -y^3 +(44 -2)x^2y +(-11)xy^2 +17
= 32x^3 -y^3 +42x^2y -11xy^2 +17
What in the cinnamon toast crunch is 2+ x= 1
Answers
Answer:
x = -1
Step-by-step explanation:
3/11 x 4/9 fraction multiplication
pls help
Answers
Answer:
[tex] \frac{1}{9} [/tex]
Step-by-step explanation:
[tex] \frac{3}{11} \times \frac{4}{9} [/tex]
[tex] \frac{12}{108} [/tex]
[tex] \frac{1}{9} [/tex]
Which of the following means less than or to?
A.not less than
B.at most
C.at least
D.mininum
Answers
Answer:
B. At most
Gives a maximum that it can be.
HELP ASAP will get brainly user !!!
Answers
Answer:
46
Step-by-step explanation:
p=6,q=12.
Put the numbers where the letters are.
7x6+12/3
46
Hope this helps!
Answer:
[tex]beinggreat78~here~to~help~you~learn![/tex]
When doing short equations like this, you want to use P.E.M.D.A.S. That just means you want to use parentheses first, exponents second, multiply third, divide fourth, add fifth, and subtract last. In this case, since there are no parentheses, or subtraction, or exponents, we cross those three out, and make multiplication our top priority. But, what exactly does seven p mean? p is an assigned, substituted number. Sometimes people will use p instead of x as subs, but it really does not matter. So now that we have enough information, let's start.
[tex]7p=7 * number(In~this~case,~6)[/tex]
[tex]7 * 6 = 42[/tex]
The next step is to divide q(12) by three. Before adding, you want to divide, because it is your second-top-priority.
[tex]\frac{q}{3} = \frac{12}{3}~which~is~4[/tex]
Lastly, add the quotient and the product together.
[tex]7p(42) + \frac{q}{3} (4) = 46[/tex]
And we are done! The result is 46, so that means your answer is D! Yay!
What have we learned while doing this problem?
We have learned how to multiply and divide in order of operations while dealing with substitution.please help me!!!!!!!
Answers
I'll do part 1 to get you started
================================================
Answers:
D) 90, 45, 45A) centroidB) vertex of right triangleB) 41C) 5^4*3^5================================================
Explanations:
In an isosceles triangle, the base angles are congruent. Let's call them x. When dealing with a right triangle, those bases angles are also complementary and they add to 90 degrees. This means x+x = 90 solves to x = 45. Therefore we have a 45-45-90 triangle.This is something to memorize. There's not much explanation I can think of. The altitudes intersect at the orthocenter. For a right triangle, the altitude for the base is the height, and vice versa. The base and height intersect at the vertex point that's the 90 degree angle.The number 41 is prime because the only factors are 1 and itself. Something like 81 is not prime because 3 is a factor. We consider 81 to be composite.Rewrite 5^4*3^5 as 5*(5^3*3^5) to see that 5^3*3^5 is a divisor or factor of 5^4*3^5rewrite 4+2/3x=3/4 so it does not have fractions.
Answers
Answer:
48 + 8x = 9
Step-by-step explanation:
4 + [tex]\frac{2}{3}[/tex] x = [tex]\frac{3}{4}[/tex]
multiply through by 12 ( the LCM of 3 and 4 ) to clear the fractions
48 + 8x = 9
Write an equation of the line that passes through (3,1) and (0,10) .
Answers
Answer:
(1,1) and (0,1)
Step-by-step explanation:
i think thats it i dont know what it looks like i need a picture of it
What is 8,838 rounded to the nearest ten
Answers
Answer:
8840
Step-by-step explanation:
Answer:
8,840
Step-by-step explanation:
The floor of Taylor's bathroom is covered with tiles in the shape of triangles. Each triangle has a
height of Zin and a base of 12 in. If the floor of her bathroom has 40 tiles, what is the area of the
bathroom floor?
Answers
Answer: 1680
Step-by-step explanation: first we have to find the area of each triangle so we do 7 times 12 then divide by 2 which equals 42. then since there are 40 tiles we multiply by 40 which will equa 1680.
Please answer correctly!! Will mark brainliest
Answers
Step-by-step explanation:
a. the zeroes of the function :
x = 2 or x = -2
b. the y-intercept :
g(0) = -3(0-2)(0+2)
= -3(-2)(2) = 12
the coordinates => (0, 12)
c. the g(x) = g(-x) => this is the even function
d. the leading of coefficient is negative
e. the end of behaviour is toward down
a die and a coin is rolled and tossed respectively.what is the probability of getting a five and a tail ?
Answers
Answer:
1/12
THIS DESERVES BRAINLISTTT
Step-by-step explanation:
There are 12 possible outcomes, 6 for the die for each of the 2 for the coin. Only one comprises a 5 and a tail so the probability, assuming a fair coin and die, is 1/12.
A die has 6 sides. A coin has two.
The probability of rolling a 5 on the die is 1/6.
The probability of getting tails is 1/2.
To get the combined probability, we must multiply the two together. This gives us a total probability of 1/12.
The probability of rolling a 5 and getting tails is 1/12.
A triangle with exactly two sides of the same length is called
Answers
Answer:
isosceles
Step-by-step explanation:
isosceles
Slope Equations
What is the equation of the line that passes through the point (0,-4) and has a slope of 5?
y = 5x – 4
y= - 4x – 5
y= -5x +4
y=2x - 4
Answers
Linear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex]
m = slopeb = y-intercept (the value of y when x=0)Solving the QuestionWe're given:
m = 5The line passes through the point (0,-4)Because the slope of the line is 5, we know that the m value in y=mx+b has to be 5. This rules out all the options except for the first, which is the only equation in which the m vaue is 5.
On top of that, we know that the y-intercept occurs when x=0. Given that the line passes through the point (0,-4), we know that the y-intercept is -4.
The equation in the first option tells us this as well, as it has -4 as the b value in y=mx+b.
Answery = 5x - 4
The graph of a linear relationship has a slope of -5 and passes through the point (2, -12). Write the equation of the line in slope-intercept form.
Answers
y=-5x-2
Solution:We are given the line's slope and a point that it passes through.Using the given information, we can write the equation of the line in Point-Slope Form:[tex]y-y_1=m(x-x_1)[/tex]In this formula, y₁ stands for the y-coordinate of the point, m stands for the slope of the line, and x₁ stands for the x-coordinate of the point.In this case, y₁ is equal to -12, m is equal to -5, and x₁ is equal to 2.Plug in the values:y-(-12)=-5(x-2)y+12=-5(x-2)Now, convert into Slope-Intercept Form, y=mx+b:y+12=-5x+10y=-5x+10-12y=-5x-2Hope it helps.
Do comment if you have any query.
!! 100 PTS+BRAINLIEST 4 CORRECT ANSWER+EXPLANATION!!
use the photo provided
thanks
Answers
Answer:
19.0 cm (3 sf)
Step-by-step explanation:
Formula
[tex]\sf arc \ length=2\pi r \left(\dfrac{\theta}{360}}\right)[/tex]
(where r is the radius)
Arc length of white sector
Radius of white sector = 8 - 4.5 = 3.5 cm
[tex]\sf \implies arc \ length=2\pi \cdot 3.5 \left(\dfrac{50}{360}}\right)=\dfrac{35}{36} \pi \ cm[/tex]
Arc length of grey sector
Radius = 8 cm
[tex]\sf \implies arc \ length=2\pi \cdot 8 \left(\dfrac{50}{360}}\right)=\dfrac{20}{9} \pi \ cm[/tex]
Perimeter of shaded part
Perimeter = arc length (white) + arc length (grey) + 2 x 4.5
[tex]\sf =\dfrac{35}{36} \pi + \dfrac{20}{9} \pi +9[/tex]
[tex]\sf =19.0356432...[/tex]
[tex]\sf =19.0 \ cm \ (3 \ sf)[/tex]
Please help me
10 points
Answers
Answer:
113.04cm^2
Step-by-step explanation:
The area of a circle is pi * r^2
pi=3.14
So 6^2 is 36
36*3.14=113.04
Hope it helps!
if a number is added by 2 the answer is10 find the number
Answers
Explanation:
Just do the reverse of addition. 10-2=8
what is the fewest numbers of sides a polygon can have. why?
Answers
The sets J and E are given below.
J= {2, 3, 4, 8)
E={0,1,3,7)
Find the intersection of J and E.
Find the union of J and E.
Answers
Answer:
See below
Step-by-step explanation:
Intersection is the elements that are in both sets : {3}
Union adds them together { 0 1 2 3 4 7 8 }
How are the roots of a quadratic equation and the zeroes of a quadratic relation related?
Answers
The roots of a quadratic equation and the zeroes of a quadratic equation are related in the following form: [tex]\sum\limits_{i= 0}^{2} c_{i}\cdot x^{i} = \prod \limits_{j= 1}^{2} (x-r_{j}) = 0[/tex].
What do represent the roots of a quadratic equation?Polynomials are algebraic entities that satisfy the following condition:
[tex]p(x) = \sum\limits_{i= 0}^{n} c_{i}\cdot x^{i} = \prod \limits_{j= 1}^{n} (x-r_{j})[/tex] (1)
Where:
x - Independent variablen - Grade[tex]c_{i}[/tex] - i-th Coefficient[tex]r_{j}[/tex] - j-th RootIf we have that [tex]p(x) = 0[/tex], then there are n values of x such that the equation is satisfied and those values are called zeroes. For the case of a quadratic equation, there are two zeroes.
[tex]\sum\limits_{i= 0}^{2} c_{i}\cdot x^{i} = \prod \limits_{j= 1}^{2} (x-r_{j}) = 0[/tex] (2)
Please note that the right part of (2) contains the roots of the polynomial and (2) represents a relationship based on the closure properties for algebraic fields.
Therefore, the roots of a quadratic equation and the zeroes of a quadratic equation are related in the following form: [tex]\sum\limits_{i= 0}^{2} c_{i}\cdot x^{i} = \prod \limits_{j= 1}^{2} (x-r_{j}) = 0[/tex].
To learn more on quadratic equations, we kindly invite to check this verified question: https://brainly.com/question/5975436
Help picture below problem 18
Answers
Answer:
by using pythagoras theorem
[tex] {h}^{2} = {p}^{2} + {b }^{2} \\ {28}^{2} = {17}^{2} + {es}^{2} \\ {28}^{2} - {17}^{2} = {es}^{2} \\ {es}^{2} = 495 \\ es = \sqrt{495} \\ es = 3 \sqrt{55} [/tex]
A recipe for a batch of 3 dozen chocolate chip cookies calls for 3 cups of flour, one cup of sugar, and 2 cups of chocolate chips. how much of each ingredient should be used to make 2 dozen cookies
Answers
Answer:
2 cups of flour
2/3 cup of sugar
1 1/3 cups of chocolate chips
Step-by-step explanation:
3 dozen chocolate chip cookies
3 cups of flour
1 cup of sugar
2 cups of chocolate chips
The recipe is for 3 dozen cookies as stated above.
If you make 2 dozen cookies, then you are making 2/3 of the recipe since 2 is 2/3 of 3.
That means you need 2/3 of all the ingredients.
2/3 × 3 dozen chocolate chip cookies
2/3 × 3 cups of flour
2/3 × 1 cup of sugar
2/3 × 2 cups of chocolate chips
We simplify the amounts to:
2 dozen chocolate chip cookies
2 cups of flour
2/3 cup of sugar
1 1/3 cups of chocolate chips
surface area.... again
Answers
Answer:
1848 square inches
Step-by-step explanation:
surface area is the combined area of all the outside surfaces.
area of triangle is base x height / 2
There are two, so no need to divide
18 x 12 = 216
Area of rectangle is base x height
15 x 34 + 15 x 34 + 18 x 34 = 1632
Then add
216 + 1632 = 1848
After a product recall, a company solicits feedback from a random sample of 100 customers regarding their opinion about the company since the recall. Customers were asked, "Do you approve, disapprove, or have no opinion about the company?” The public relations department is concerned that the opinions may be equally distributed across these three options. The survey reveals that 38 customers approve, 45 disapprove, and 17 have no opinion. They decide to carry out a test of significance to determine if there is convincing evidence that the distribution of opinion in the population is equally distributed across the three options. What is the value of the chi-square test statistic and the P-value of this test?
Find the chi-square table here.
χ2 = 7.77, P-value is between 0.02 and 0.025
χ2 = 7.77, P-value is between 0.05 and 0.10
χ2 = 8.54, P-value is between 0.01 and 0.02
χ2 = 8.54, P-value is between 0.025 and 0.05
Answers
The value of the chi-square test statistic and the P-value of this hypothesis test is χ2 = 7.77, P-value is between 0.02 and 0.025.
How to depict the hypothesis?It should be noted that hypothesis testing is done in order to get more information about a particular issue.
In this case, the value of the chi-square test statistic and the P-value of this hypothesis test is χ2 = 7.77, P-value is between 0.02 and 0.025.
This illustrates that there's convincing evidence that the distribution of common opinion is note equally distributed across the three options.
Learn more about hypothesis on:
https://brainly.com/question/15980493
. Carlee surveyed customers as they left a convenience store. She asked them, “How many items did you
purchase?” The results are shown in the line plot.
(a) How many customers were surveyed?
(b) What was the greatest number of items purchased by a customer?
(c) How many customers purchased 9 items?
(d) How many customers purchased at least 5 items?
(e) What was the median number of items purchased?
Answers
Answer:
We need the picture of the line plot in order to answer the question
Step-by-step explanation: