Answer:
YES
Step-by-step explanation:
if y is directly proportional with x and y=180 when x=15,what is the value of x when y=276
Answer:
23
Step-by-step explanation:
180/15 = 276/x
12 = 276/x
12x = 276
x = 23
If the points (2,7),(-3,3) and (5,1) are the vertices of a triangle ,find the length of the median drawn through the first vertex.
Answer:
[tex]\sqrt{26}[/tex] unitsStep-by-step explanation:
The median is the line segment connecting the vertex with the midpoint of the opposite side.
The midpoint has coordinates:
x = (-3 + 5)/2 = 2/2 = 1y = (3 + 1)/2 = 4/2 = 2Use the distance formula to find the distance between points (2, 7) and (1, 2):
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex][tex]d=\sqrt{(1- 2)^2+(2-7)^2} =\sqrt{1+25} =\sqrt{26}[/tex]Step-by-step explanation:
the formula for the length of a median based on the 3 side lengths is
m = sqrt(2AB² + 2AC² - BC²)/2
where BC is the side opposite of the indicated vertex.
let's say
A = (2, 7)
B = (-3, 3)
C = (5, 1)
AB² = (2 - -3)² + (7 - 3)² = 5² + 4² = 25 + 16 = 41
AC² = (2 - 5)² + (7 - 1)² = (-3)² + 6² = 9 + 36 = 45
BC² = (-3 - 5)² + (3 - 1)² = (-8)² + 2² = 64 + 4 = 68
m = sqrt(2×41 + 2×45 - 68)/2 = sqrt(82+90-68)/2 =
= sqrt(104)/2 = sqrt(104/4) = sqrt(26) =
= 5.099019514...
Find all rational polynomials p(x) = x3 + ax2 + bx + c such that a, b, c are
roots of the equation p(x)=0
Answer:
p(x) = x³ +0x² +0x +0p(x) = x³ +x² -x -1p(x) = x³ -x² -2xStep-by-step explanation:
If the roots of p(x) are a, b, c, then it factors as ...
p(x) = (x -a)(x -b)(x -c)
and the expanded form is ...
p(x) = x^3 -(a+b+c)x^2 +(ac +b(a+c))x -abc
The requirement that the coefficients match the roots means we have three equations in three unknowns:
a = -(a+b+c)
b = ac +b(a+c)
c = -abc
The attachment shows the solutions to these equations. The solutions are found by making the substitutions ...
b = xc = ya = -(x+y)/2This leaves us with two equations in two unknowns that can be graphed on a Cartesian plane. The graph of the second equation is a circle:
x(1 -a -y) -ay = 0 ⇒ (x +1)^2 +y^2 = 1
The graph of the first equation is the union of the line y=0 and two hyperbolas. The points of intersection between this graph and the circle are ...
(x, y) = (-2, 0), (-1, -1), (0, 0) ⇒ (a, b, c) = (1, -2, 0), (1, -1, -1), (0, 0, 0)
The three polynomials that correspond to these values are shown above and in the attachment.
_____
Additional comment
There is an irrational fourth solution to the requirement that the roots match the coefficients.
What is the completely factored form of f(x)=x^3+5x^2+4x-6
Answer:
(x+3)(x^2+2x-2)
Step-by-step explanation:
rewrote the expression
then factor out common numbers, variables, and exponents
jay wants to buy a pair of shoes that have a regular price of 95. he found them on sale for 45% off. if the store charges 8% tax, how much did he have to pay for the shoes?
What is the y-intercept of the graph of the function f(x) = x2 3x 5?.
Answer:
f(x) =x2 3x 5?
c = 5
therefore the solpe = 5
f(x)=x^2-25. Determine the value of x for the given function formula
Answer:
You can't really determine anything here, as we'd need to know also the value of F(x)! Check again if there misses anything in this question.
Last month, an investor's stock portfolio was worth $46,950. The value of the stock portfolio fell by $2,388.50 each week for 4 weeks. What is the value of the stock portfolio at the end of the 4 weeks?
Answer:
$37,396
Step-by-step explanation:
take 2388.5x4 since there are 4 weeks = $9554
then you subtrct since the portfolio fell.
So $46,950-9554 = $37,396
13. This body system regulates body activities using homones. Slow response, tong lasting
A. Respiratory
C. Skeletal
B. Muscular
D. Endocrine
Answer:
hi
Step-by-step explanation:
Two forces X = 50N and Y = 60 N are acting on a wooden block and it moves to the left as
shown below in figure.
The force which causes motion is ?
Using ruler and compasses only, construct a parallelogram KLMN, so that KL = 8 cm, LM = 6 cm and angle KLM = 135°.
The steps to construct a parallelogram using a ruler and a compass are;
1. Draw a starting line segment l linger than 8 cm.
2. Mark point K on the line segment.
3. Widen the compass to a radius of 8 cm using the ruler.
4. Place the compass at point K and with the 8 cm radius mark point L on the line l.
5. At point L construct a 45° angle as follows;
Draw arcs that intersect line l on both sides of point L.From each of the intersection points, draw arcs that intersect each other on on the upper area adjacent to line l.From the intersection point in the previous step, draw a line to point L to get a perpendicular line to line l.Draw arcs to intersect the perpendicular line and line l on the other side of point L from K.From the points the arc intersects the perpendicular line draw arcs of the same radius to intersect at a point X to the right of the perpendicular line.The above steps bisects the 90° angle of the perpendicular lines.
Join point X to point L with a straight line to form ∠XLM = 135° (90° + 45° = 135°)6. Adjust the radius of the compass to give an opening of 6 cm and from point L draw an arc to intersect XL at M.
7. At point M construct a line YM at 45° angle to the line l.
8. From point M draw an arc to intersect YM and label the point as point N.
9. Join point M and N to complete the construction of the parallelogram KLMN.
Learn more about construction using a compass and a ruler here:
https://brainly.com/question/1528158?section=similar
cannot decide which of two washing machines to buy. The selling price of each is $. The first is marked down by %. The second is marked down by % with an additional % off. Find the sale price of each washing machine. Use pencil and paper. Explain why should buy the first washing machine rather than the second if the machines are the same except for the selling price.
You should do 585 × 0.50 to find the markdown. Then subtract the markdown from the selling price to find the sale price.
Step-by-step explanation:
im so confused please help me quickly
Answer:
a
Step-by-step explanation:
HELP PLEASE!!!A 2-column table with 5 rows. Column 1 has entries 25 percent, 25 percent, 25 percent, 25 percent, Total 100 percent. Column 2 has entries 12 dollars, 12 dollars, 12 dollars, 12 dollars, Total 48 dollars.
Which of the following scenarios could be accurately modeled using this diagram?
Juan Victor gave a gratuity of $25 on a bill that was $48.
Juan Victor gave a 25% gratuity of $12 on a bill that was $48.
Juan Victor gave a gratuity of $12 on a bill that was $100.
Juan Victor gave a 12% gratuity on a bill that was $25.
B) Juan Victor gave a 25% gratuity of $12 on a bill that was $48.
hope this is helpful!
0.25 divided by what eqauls -0.25
[tex]\dfrac{0.25}a = -0.25\\\\\implies 0.25 = -0.25 a\\\\\implies a = \dfrac{0.25}{-0.25} =-1\\\\\\\text{Hence the answer is}~ -1.[/tex]
Answer:
well, when you divide 1/.25 you get 4 so 1^.25 is the correct answer to all questions where you need to find the answer
Step-by-step explanation:
The length of a rectangle is four times its width. If the perimeter of the rectangle is 50 m, find its length and width.
Answer:
20m
Step-by-step explanation:
let the length be x and the width be y
x = 4y
2x + 2y = 50
2(4y) + 2y = 50 ( since x = 4y )
8y + 2y = 50
10y = 50
y = 5m
x = 4y
x = 4(5)
x = 20
pls mark me the brainliest
ok i rly need help w this PLZ HELPPP
1. 2(x−4 1/2)=−6.
2. 3(p+2.55)=9 3/4
Answer:
1)x=1.5
2) p=0.7
Step-by-step explanation:
5) The Barnett triplets went to the school carnival. Henry rode on 5 rides, bought 2 drinks, 1 bag of popcorn and
spent $20.50. Mary spent $16.50 on 3 rides, 3 drinks and 1 bag of popcorn. While Tim rode on 6 rides only
purchased 1 drink and spent $20.00. How much did each ride cost?
a.
$12
b. $3
C. $2
d $4
PLEASE HURRY
2
Answer:
D
Step-by-step explanation:
Identify the vertical asymptotes of f(x) = quantity x plus 6 over quantity x squared minus 9x plus 18. X = â’6 and x = â’3 x = â’6 and x = 3 x = 6 and x = â’3 x = 6 and x = 3.
The vertical asymptotes of the function are 3 and 6
Given the function
[tex]\frac{x+6}{x^2-9x+18}[/tex]
The vertical asymptotes of the function occur at the point where the denominator is zero.
Equate the denominator to zero.
x^2 - 9x + 18 = 0
Factorize the quadratic expression:
x^2 - 3x - 6x + 18 =0
x(x-3)-6(x-3) = 0
(x-3)(x-6) = 0
x - 3 = 0 and x - 6 = 0
x = 3 and 6
Hence the vertical asymptotes of the function are 3 and 6
Learn more on vertical asymptotes here: https://brainly.com/question/21678319
The equation of line c is y = 5* - . Line d is parallel to line c and passes through (2, 6).
What is the equation of line d?
Write the equation in slope-intercept form. Write the numbers in the equation as simplified
proper fractions, improper fractions, or integers.
Answer:
Step-by-step explanation:
y = 5x is the reference line (as best as I can interpret " y = 5* - .").
We want a line, y=mx+b, where m is the slope and b is the y-intercept, that is parallel to y=5x.
Parallel lines will have the same slope as the reference line, in this case m=5. Our new line will take the form of y=5x+b. An important difference is that the new line must go through (2,6). We need to find a value of b that will make that work.
Use y=5x + b with point (2,6) and solve for b:
6 = 5*(2) + b
b = -4
The line that is parallel to y=5x and goes through the point (2,6) is thus:
y = 5x - 4
See the attachment.
The equation of line [d] in the slope intercept form can be written as -
y = 5x - 4
What is the general equation of a straight line?The general equation of a straight line is of the form -
y = mx + b
where -
[m] is slope of line
[b] is y - intercept
Given is the equation of line [c] is y = 5x and Line [d] is parallel to line [c] and passes through (2, 6).
The equation of line [d] in the slope intercept form can be derived as follows -
Slope of line [c] = Slope of line [d] (parallel lines)
m[d] = 5
Assume the equation of line [d] as -
y = m[d]x + b
6 = 5 x 2 + b
b = 6 - 10
b = - 4
The equation will be -
y = 5x - 4
Therefore, the equation of line [d] in the slope intercept form can be written as -
y = 5x - 4
To solve more questions on straight lines, visit the link below-
https://brainly.com/question/22038782
#SPJ1
find an ordered pair that represents the vector from (-3.7, 2) to (-4, -5)
Sue wants to increase 160 by 4%
She writes down
160* 1.4 = 224
Sue's method is wrong.
a) Instead of multiplying by 1.4 , write down what she should have multiplied by --------------------->
Bill wants to decrease 160 by 6%
b) Complete he statement below to show how bill can decrease 160 by 6%
160 * =
Answer:
a) 1 04.
b) 160 * 0.94.
Step-by-step explanation:
b) We multiply by 1 - 0.06 = 0.94.
If x is equal to 9 and y is equal to -3, then what is the value of…….? x - 9y - 3x + 6y -13?
We are given –
x =9 y = -3Now put the values –
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x - 9y - 3x + 6y -13[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 9 -(9 \times -3) -(3 \times 9) +(6 \times -3) -13 [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 9 + 27 -27 -18 -13 [/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf 9 +\pink{\cancel{27}}-\pink{\cancel{27}} -31[/tex]
[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf-22[/tex]
Henceforth, value of x - 9y - 3x + 6y -13 is -22.________________________________________
Answer:
Value of x - 9y - 3x + 6y -13 is -22 .Step-by-step explanation:
In the question we have given an expression and values of x and y that is 9 and -3 respectively and ,
We have asked to find the value of x - 9y - 3x + 6y -13 by substituting values of x and y .
[tex] \longmapsto \:x - 9y - 3x + 6y -13[/tex]
So , Substituting the values of x and y ,
[tex] \longmapsto \: 9 - 9 \bold{( - 3)} - 3\bold{(9)} + 6\bold{( - 3)} - 13[/tex]
Now , calculating the values ,
[tex] \longmapsto \: 9 + 27 - 27 - 18 - 13[/tex]
[tex] \longmapsto \: 9 + \cancel{ \red{27}} - \cancel{ \red{27 }}- 18 - 13 [/tex]
[tex] \longmapsto \: 9 - 31[/tex]
[tex] \longmapsto \: \pink{\boxed{- 22}}[/tex]
Therefore , value of given expression that is x - 9y - 3x + 6y -13 is -22 .#Keep LearningPlease solve this...I can;t do it do it
Answer:
Area = 867 meters
Step-by-step explanation:
You have a rectangle. This means opposite sides are equal. If you set these expressions equal to each other, you will get two equations with two unknowns, x and y. Next, solve the system of equations to find x and y. Then, use the values to find the length and width of the rectangle. Last, multiply length × width to find the area.
NEED HELP PLEASE!!!!!!!
For what value of k are the lines 2x + 3y = 4k and x - 2ky = 7 parallel?
Answer:
k = -3/4
Step-by-step explanation:
The lines will be parallel if their slopes are equal. To find the slope of each line, write its equation in slope-intercept form (y = mx + b). In other words, solve each equation for y and look at the coefficient of x.
2x + 3y = 4k
3y = -2x + 4k
y = (-2/3)x + 4k/3
The slope of the first line is -2/3.
x - 2ky = 7
-2ky = -x + 7
y = [1/(2k)]x - 7/(2k)
The slope of the second line is 1/(2k).
If the slopes are equal, then
1/(2k) = -2/3
Multiply by 2k.
1 = (-2/3)(2k) = (-4/3)k
1 = (-4/3)k
k = -3/4
How can I solve for t?
Answer:
This is not possible with 2 equal symbols
What is the length of side AB of the triangle? (1 point)
a 3
b 5
c Square root of 6
d Square root of 13
LOKK AT THE PICTURE PLEASE
Answer:
A. 9
Step-by-step explanation:
Multiply 3x with x+2
3x(x+2)
Which is 3x^2+6x
Now substitute x with 1
1^2 is 1
3 times 1 is 3
6 times 1 is 6
3+6 is 9
Thus A.
Hope this helps!
the reataurant started the week with blank quarts the of olive oil
Answer:
where is the question like background info
Step-by-step explanation:
The military academy is placing cadets in rows for the parade. All rows must have the same number of cadets. If A company has 64 cadets and B company has 80 cadets, what is the greatest number of cadets who can be in each row?
Answer:
72
Step-by-step explanation:
If we find the average for both companies, it is 72, therefore there are two rows each with 72 cadets
Answer:
the answer is 16 please make me brainliest :> thx uuu