Answer:
13Step-by-step explanation:
Given: A rectangle ABCD in which diagonals AC and BD intersect at E.
AE = X + 11
CE = 6x + 1
To find: Find AC
solution,
The diagonals at a rectangle bisects each other. Hence, AE = EC
x + 11 = 6x + 1
Move the variable to L.H.S and change its sign
X - 6x + 11 = 1
Move the constant to R.H.S and change its sign
x - 6x = 1 - 11
Simplify
-5x = -10
Divide both side of the equation by 5
-5x/5 = -10/5
Calculate
-x = -2
The minus sign (-) will be cancelled on both sides
X = 2
Again,
EC = 6x + 1
= 6 * 2 + 1
= 12 + 1
= 13
Hope this helps...
Good luck on your assignment...
Combine the like terms to get an equivalent expression: 8r+7−6r−5
Answer:
the correct answer would be 2r+2
Step-by-step explanation:
8r-6r=2r
7-5=2
Answer:
2r + 2
Step-by-step explanation:
8r+7−6r−5
Terms with r are like terms and can be combined together.
Terms with no variable are like terms and can be combined together.
Terms with r and terms with no r are not like terms and cannot be combined together.
8r + 7 - 6r - 5 =
= 8r - 6r + 7 - 5
= 2r + 2
2x-2/5=8 Please explain answer
Answer:
x=21
Step-by-step explanation:
1. 2x-2/5*5=8*5 Multiply the 5 on both sides to cancel out the denominator.
2. 2x-2+2=40+2 Add 2 on both sides to isolate the term with the variable.
3. 2x/2=42/2 Divide both sides by 2 in order to isolate the variable itself. Yay, you got the answer, 21!
Heyy I hope you have a great day, this took forever to type so it would be very appreciated if you marked this answer as brainliest... UwU
2a^2 +7ab-15b^2
please solve the answer fast
Answer:
(2a - 3b) (a + 5b)
hope this helps!
find 5 rational numbers between 2/3 , 4/5
Answer:
0.67, 0.68, 0.69, 0.7, 0.71. (67/100, 68/100, 69/100, 70/100, 71/100)
Step-by-step explanation:
A rational number is a number that can be expressed as a fraction.
2/3 is approximately equal to 0.66.
4/5 is equal to 0.8
Thus, we just need to find 5 numbers between 0.66 and 0.8.
Some numbers that you could use are: 0.67, 0.68, 0.69, 0.7, 0.71
Hope this helps :)
Answer: 2/3=2×5/3×5. = 10/15
4/5 = 3×4/5×3 = 12/15
Step-by-step explanation:
We will multiply it with5+1 =6
10/15×6/6= 72/90
12/15 × 6/6 = 72/90
5 rational number between them are:61/90,62/90,63/90,64/90,65/90
Pls mark me as brainliest
Find the equation of the line that passes through (3,-4) and is parallel to 3x+y+2=0 Leave your answer in the form y=mx+c
Answer:
2x+y
Step-by-step explanation:
Simply remove the +2
Answer:
y = - 3x + 5
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x + y + 2 = 0 ( subtract 3x + 2 from both sides )
y = - 3x - 2 ← in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes, thus
y = - 3x + c ← is the partial equation
To find c substitute (3, - 4) into the partial equation
- 4 = - 9 + c ⇒ c = - 4 + 9 = 5
y = - 3x + 5 ← equation of line in form y = mx + c
1/5 of a chocolate chip cookie has 30 cal how many calories are in a whole cookie
Answer:
150 cal
Step-by-step explanation:
5x30=150
Answer:
150 calories.
Step-by-step explanation:
Assuming there is the same amount of chocolate as well as cookie dough throughout the whole cookie.
You know that 1/5 of a chocolate chip cookie has 30 calories.
Find one cookie, by multiply 5 to both numbers. Set the equation:
1/5x = 30
Isolate the variable. Multiply 5 to both sides:
(1/5x) * 5 = (30) * 5
x = 30 * 5
x = 150
150 calories is your answer.
HELP ASAP PLEASE ------ for the function f(x)=x^2 what effect will multiplying f(x) b y 1/4 have on the graph
Answer:
Vertical Shrink of a factor of 1/4
Step-by-step explanation:
Since we are manipulating a in f(x) = a(bx - h)² + k, we are dealing with vertical stretch (x > 1) and vertical shrink (x < 1). Since 1/4 < 1, we have a vertical shrink of 1/4.
Answer: if you multiply the f(x) by 1/4 the graph seems to narrow, which is interpreted as a positive vertical shift . The y value (output) is 4 times greater
If you multiply the x² by 1/4, the graph seems to widen, which is interpreted as a negative vertical shift. The y value is less by a factor of 1/4
Step-by-step explanation: I am reading the question literally: multiplying f(x) by 1/4. (This may be dangerous as mathematicians have their own lingo, and some words have specialized meanings that English majors haven't learned!)
I understand that f(x) or any other function is the y-output. So in order to graph a function, it is legitimate to substitute "y" for f(x).
I am attaching a graph with the f(x)=x² in red f(x) = (1/4)x² in green and (1/4)f(x) = x² in blue.
As you can see, very different results: Substituting 2 for x
in red original 4 = 2²
in green f(x) = (1/4)(2²) . 1 = (1/4)(4)
in blue (1/4)f(x) = x² (1/4) 16 = (2²) =. This is probably not the intended result, but it is literally what happens if you multiply the left side! 16 is the output on the graph.
So, despite my efforts to make sense of this, I realize that this answer is mistaken, and I hope someone can clear up my confusion, please!
What is the factored of the polynomial
x + 9x +20
Create a birthday Polynomial with 07.01.2006
Answer:
Step-by-step explanation:
the birthday date is : 07/01/2006 so the numbers are : 07012006 let's switch them : 60021070 we have 8 numbers so our highest degree is 7 6*(x∧7)+0*(x∧6)+0*(x∧5)+2*(x∧4)+1*(x³)+0*(x²)+7*x+0*(x∧0) 6*(x∧7)+2*(x∧4)+x³+7xHere is another example :
The inequality graphed below represents the ages, a, of
players on a baseball team.
Which inequality represents the same ages?
0 12 < a < 18
10 11 12 13 14 15 16 17 18 19 20
o 12 sa< 18
0 12 >as 18
O 122 a< 18
Answer:
the first one
Step-by-step explanation:
the others don't make any sense and also the first one's the only one that's in inequality form.
The inequality that represents the ages is 12 ≤ a ≤ 18.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
The inequality graphed below is shown.
The number line includes the numbers 12 and 18.
So,
The ages of the baseball team are 12 to 18.
This can be written as,
12 ≤ a ≤ 18
Thus,
The inequality that represents the ages is 12 ≤ a ≤ 18.
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ7
Write the number 3,298,076 in word form. Please
━━━━━━━☆☆━━━━━━━
▹ Answer
3,298,076 is written as three million two hundred ninety eight thousand seventy six.
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
Three million, two hundred and ninety-eight thousand and seventy-six.
Express £5 as a fraction of £4.
Answer:
£5/£4
Step-by-step explanation:
£5 over £4 can be expressed as a fraction.
⇒ £5/£4
identify an equation in slope intercept form for the line parellel to y=-3x+7 that passes through (2,-4)
Answer:
y= -3x+2
Step-by-step explanation:
Parallel lines have the same slope. We can form an incomplete equation:
y= -3x+b
(make sure to see why the slope is -3)
We can plug in the coordinates of (2, -4):
-4= -3(2)+b
-4= -6+b
2=b
b is 2! We can form an equation: y= -3x+2
HELP PLEASEEE ASAAAAPPPPPPPPPPPP I WILL GIVE BRAINLY TO THE FIRST ONE!!!!!!!!
Answer:
the total amount is £ 756.
hope it helps..
Raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. The table shows that the amount of water remaining in the bathtub, y, is a function of the time in minutes, x, that it has been draining. what is the range of this function
Answer:
raj’s bathtub is clogged and is draining at a rate of 1.5 gallons of water per minute. (given)
thus, rate of draining of water gallons per minute = -1.5
amount of water remaining in the bathtub = y,
the function of the time in minutes that it has been draining = x, .
at 0 minutes the amount of water is 40 gallons.
thus,the volume of water is 40 is decreasing at the rate of 1.5 gallons per minute
the given function is a linear function
y = 0
however, the volume of water can be 0 but cannot ever be negative.
thus, the range of y will be all real numbers such that 0≤y≤40
Step-by-step explanation:
Answer:
y = 0
Step-by-step explanation:
i took test
Written Response! Please help!
Evelyn believes that if she flips a coin 480 times, it will land tails up exactly 240 times. What would you tell Evelyn about her prediction?
Based on Evelyn's response, it can be said that she predicts that there is a 50% chance of the coin landing on tails and a 50% chance of the coin landing on heads.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that the coin lands on tails is half of the number of times the coin is tossed. This means she belives that there is an equal chance that the coin would land on either heads or tails.
To learn more about probability, please check: https://brainly.com/question/13234031
The power in watts,P, that is generated by a certain electric circuit depends on the current in amperes ,i, and can be modeled by the equation P=20(i-3)^2+180, Where i>3. Which of the following gives the value of i in terms of P?
i=3+2squareroot5(P-180)
i=3+1/2sq p-180/5
Answer:
i = {√(P-180)/20}+ 3
Step-by-step explanation:
Here, we simply need to make i the subject of the formula
that would be;
P -180 = 20(i-3)^2
Divide through by 20
(P-180)/20 = (i-3)^2
Find the square root of both sides
sqr (P-180)/20 = i-3
i = {√(P-180)/20}+ 3
The image of the point (4,-2) under a rotation 180 degrees about the origin is: A. (−4,−2) B. (−4,2) C. (−2,−4) D. (−2,4)
Answer:
(-4,2)
Step-by-step explanation:
when rotated about 180 degrees, you change both signs
convert 4 1/3 feet to inches
Answer:
52 inches
Step-by-step explanation:
Answer:
we have, 1 feet =12 inches
13/3 foot =12×13/3 inches
=52 inches.
thereforethe , the answer is 52 inches.
WILL MARK BRAINLIEST!!!!!! The figure shows two triangles on the coordinate grid: What set of transformations is performed on triangle ABC to form triangle A′B′C′? A translation 5 units up, followed by a 270-degree counterclockwise rotation about the origin A 270-degree counterclockwise rotation about the origin, followed by a translation 5 units up A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units to the right A translation 5 units to the right, followed by a 180-degree counterclockwise rotation about the origin
Answer:
A 180°counterclockwise rotation about the origin,followed by a translation 5 units to the right
Answer:
The Answer is A 180-degree counterclockwise rotation about the origin, followed by a translation 5 units to the right
Hope this helps :)
What is this expression in simplified form? 3√3 * 6√6
Answer:
The answer is 54√2Step-by-step explanation:
( 3 √ 3)(6√6) = ( 3 × 6) (√ 6 × 3)
= 18√18 = 18( √ 9 × 2)
= 18 ( √9 × √2)
= 18( 3√2)
= ( 18 × 3)√2
= 54√2Hope this helps you
3√3 x 6√6
multiply whats outside the radical and put it outside:
6 x 3 = 18 ------> 18√x
and multiply what's inside and place it inside:
3 x 6 = 18 --------> x√18
so now, you have 18√18, which can be simplified to:
18√(9 x 2)
18√9√2 = 18*3√2 = 54√2
a right square pyramid has a slant height of 20 feet, and the length of a side of the base is 32 feet. what is the height, h, of the pyramid?
Answer:
The pyramid's height h = 12 ft
Step-by-step explanation:
Notice that the slant height of the pyramid forms a right angle triangle with the segment that joins the bottom end of the slant height with the center of the pyramid's base, and with the pyramid height (h).
The segment joining the slant height with the center of the pyramid's base is one half of the side of the base in length, so that it; 16 feet.
then we have a right angle triangle with hypotenuse given by the pyramid's slant height (20 ft), a leg given by 16 ft, and we need to find the length of the second leg (pyramid's height (h).so we use the Pythagorean theorem:
[tex]hyp^2=leg_1^2+leg_2^2\\(20\,ft)^2= (16\,ft)^2+h^2\\h^2=400\,ft^2-256\,ft^2\\h^2=144\,ft^2\\h=12 \,ft[/tex]
Answer:
C.12ft
Step-by-step explanation:
for people on edmentum
Please answer this in two minutes
Answer:
VW = 1
Step-by-step explanation:
Tan 45 = 4/VW
VW = 4/Tan 45 = 1
What is the equation for a straight line that would allow you to predict the value of Y from a given value of X. That is, calculate the value of "a" and the value of "b" and then substitute the 2 values into the generic equation (Y = a + bX) for a straight line. (Hint: calculate "b" first)
Answer:
[tex]m=-\frac{13}{20.8}=-0.625[/tex]
Nowe we can find the means for x and y like this:
[tex]\bar x= \frac{\sum x_i}{n}=\frac{16}{5}=3.2[/tex]
[tex]\bar y= \frac{\sum y_i}{n}=\frac{35}{5}=7[/tex]
And we can find the intercept using this:
[tex]b=\bar y -m \bar x=7-(-0.625*3.2)=9[/tex]
So the line would be given by:
[tex]y=-0.625 x +9[/tex]
Step-by-step explanation:
We have the following data:
X: 3,3,2,1,7
Y:6,7,8,9,5
We want to find an equationinf the following form:
[tex] y= bX +a[/tex]
[tex]a=m=\frac{S_{xy}}{S_{xx}}[/tex]
Where:
[tex]S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}[/tex]
[tex]S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}[/tex]
So we can find the sums like this:
[tex]\sum_{i=1}^n x_i = 3+3+2+1+7=16[/tex]
[tex]\sum_{i=1}^n y_i =6+7+8+9+5=35[/tex]
[tex]\sum_{i=1}^n x^2_i =72[/tex]
[tex]\sum_{i=1}^n y^2_i =255[/tex]
[tex]\sum_{i=1}^n x_i y_i =99[/tex]
With these we can find the sums:
[tex]S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=72-\frac{16^2}{5}=20.8[/tex]
[tex]S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=99-\frac{16*35}{5}=-13[/tex]
And the slope would be:
[tex]m=-\frac{13}{20.8}=-0.625[/tex]
Nowe we can find the means for x and y like this:
[tex]\bar x= \frac{\sum x_i}{n}=\frac{16}{5}=3.2[/tex]
[tex]\bar y= \frac{\sum y_i}{n}=\frac{35}{5}=7[/tex]
And we can find the intercept using this:
[tex]b=\bar y -m \bar x=7-(-0.625*3.2)=9[/tex]
So the line would be given by:
[tex]y=-0.625 x +9[/tex]
Un comerciante de algodón de azúcar gana 40 cm por cada algodón vendido pero si no lo logra venderlo pierde 50 céntimos. un día en que fabricó 120 algodones obtuvo una ganancia de 39 soles ¿Cuántos algodones no logró vender ese día?
Answer:
He fails to sell that day 10 cottons.
Step-by-step explanation:
We are given that a cotton candy merchant earns 40 cents for each cotton sold, but if he cannot sell it he loses 50 cents.
One day when he made 120 cottons, he made a profit of 39 soles.
Let the number of cottons merchant is able to sold be 'x' and the number of cottons merchant is not able to sold be 'y'.
So, according to the question;
The first condition states that he made 120 cottons on one day, that is;x + y = 120
x = 120 - y ---------------------- [Equation 1]
The second condition states that merchant earns 40 cents for each cotton sold, but if he cannot sell it he loses 50 cents and due to which he made a profit of 30 soles, that is;[tex]0.40x - 0.50y=39[/tex]
[tex]40x - 50y=3900[/tex]
[tex]40(120-y) - 50y=3900[/tex]
[tex]4800-40y - 50y=3900[/tex]
[tex]90y=4800-3900[/tex]
[tex]90 y = 900[/tex]
[tex]y=\frac{900}{90}=10[/tex]
This means that the merchant is not able to sell 10 cottons.
Which triangles in the diagram are congruent?
70°
triangle 1
triangle 2
70°
70°
triangle 3
triangle 4
Answer: They all are congruent because there are no triangles
Step-by-step explanation:
Answer: the answer is 1 and 3
Step-by-step explanation:1 and 3
what is the factorization of the polynomial below 3x^2+36x+81
Answer:
(x+3) (x+9)
Step-by-step explanation:
using quadratic formular ...you will have
The above
WILL MARK BRAINLIEST
PLEASE ANSWER
Answer:
no
Step-by-step explanation:
hey
find the square roots of 9604
Answer:
98
You have to use prime factor decompisition. I hope this helps
Answer:
it is either 98 or -98
Step-by-step explanation:
Given the number 9604
Taking the square root
=> [tex]\sqrt{9604}[/tex]
=> ±98
So, it is either 98 or -98
Based on a survey, assume that 32% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when six consumers are randomly selected, exactly three of them are comfortable with delivery by drones. Identify the values of n, x, p, and q.
Answer:
n = 6
x = 3
p = 0.32
q = 0.68
Step-by-step explanation:
Given:
32% are comfortable having drones deliver their purchases.
Suppose we are to find the probability that when 6 consumers are randomly selected, exactly 3 of them are comfortable with delivery by drones.
Required:
Find n, x, p, and q.
i) n represents the sample size. Here 6 consumers are selected randomly, therefore the sample size here is 6.
Thus, n = 6
ii) x represents the sample mean or number of successes. Since 3 consumers out of the selected 6 are comfortable with delivery by drones, the sample mean here is 3.
Thus, x = 3
iii) p represents population proportion or probability of success. Here population proportion(success probability) is 32% ≈ 0.32.
Thus, p = 0.32
iv) q represents probability of failure. To find probability of failure, use the formula:
1 - p
Thus,
1 - 0.32 = 0.68
q = 0.68