3x(1-4x)+2(1-4x)
3x-12x²+2-8x
-5x-12x²+2
a √(x^2-n/m)= a^2/b make x subject
[tex]\sqrt{x^2 -\dfrac nm} = \dfrac{a^2}b\\\\\implies x^2 - \dfrac nm = \dfrac{a^4}{b^2}\\\\\implies x^2 = \dfrac{a^4}{b^2} + \dfrac nm}\\\\\implies x = \pm \sqrt{ \dfrac{a^4}{b^2} + \dfrac nm}}[/tex]
solve 3x/7= 1/2
pls show working out thanks <3
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...
Morgan has a loyalty card good for a discount at her local grocery store. The item she wants to buy is priced at $43, before discount and tax. After the discount, and before tax, the price is $34.40. Find the percent discount.
Answer:
20%
43*0.8=34.4
Hope This Helps!!!
Consider the numbers 54.162 and 5,416.2. Which statements accurately reflect the relationship between the "6" in each number?
Select two (2) that apply.
The 6 in 54.162 has a greater value than the 6 in 5,416.2
The 6 in 54.162 has a smaller value than the 6 in 5,416.2.
a
The value of the 6 in 5,416.2 is 10 times greater than the value of the 6 in 54.162.
The value of the 6 in 54.162 is 10 times greater than the value of the 6 in 5, 416.2.
The value of the 6 in 5,416.2 is 100 times greater than the value of the 6 in 54.162.
The value of the 6 in 54.162 is 100 times greater than the value of the 6 in 5,416.2.
Answer:
1) The value of the 6 in 5,416.2 is 100 times greater than the value of the 6 in 54.162.
2) The 6 in 54.162 has a smaller value than the 6 in 5,416.2.
Step-by-step explanation:
1) 0.06 times 100 equals 6
2) 0.06 < 6
Complete all 10 problems
Answer:
11. 10+2r 12.-7v+7 13.1-2b 14. 5n+10 15. 12v 16.-12n 17. 0 18. -4n+10 19. 5b+9 20. 5v-8
Step-by-step explanation:
Sorry I don't have much time. I'll just send you a tip
If you complete all 10 problems, it's a lot of work... you shouldn't send just 5 points or everyone's not going to answer this.
You're lucky because I just answered this. Thanks!
:)
Assigned seating forever! Ms. Clore has 28 desks in
her classroom. She numbers the desks from 1 to 28.
On the first day of class, Ms. Clore places identical
slips of paper numbered 1 to 28 in a hat. Each of the
28 students in her statistics class draws a slip from the
hat upon entering the classroom to determine his or
her assigned seat. How many possible seating assign-
ments are there?
Using the arrangement formula, it is found that there are [tex]28! = 3.05 \times 10^{29}[/tex] possible seating arrangements.
The number of possible arrangements of n elements is given by the arrangement formula, as follows:
[tex]A_n = n![/tex]
It is used when n elements are arranged in n positions.In this problem, 28 students are arranged on 28 desks, hence [tex]n = 28[/tex], and:
[tex]A_{28} = 28! = 3.05 \times 10^{29}[/tex]
Hence, there are [tex]28! = 3.05 \times 10^{29}[/tex] possible seating arrangements.
You can learn more about the arrangement formula at https://brainly.com/question/24648661
F(x)=-2x+4 g(x)= -2x^3 -3
find f(4) and g(-3)
simplify as much as possible
triplicate ratio of 2:1 is
Answer:
8/27
Step-by-step explanation:
The triplicate ratio of 2:3 is 2^3/3^3 = 8/27
HAVE A GREAT DAY!
At 11:00 A.M. the temperature was 37 °F. At 11:00 P.M. the temperature was -6 °F.
What was the change in temperature between 11:00 A.M. and 11:00 P.M.?
Answer:
The temperature decreased by 43 degrees
-43
Step-by-step explanation:
Difference means subtraction
37 - (-6) = -43
I hope this helps!
(4z^7+1/z^7)^2 how do i solve this?
Answer:
if i am correct this is the formula you asked?
[tex](4z^7+\frac{1}{z}^7)^2[/tex]
Step-by-step explanation:
the answer is
[tex](\frac{(4z^{14} +1)^2}{z^{14} } )[/tex]
if i put the wrong equation tell me so i can do it again
:)
Can someone please help me with 54? It’s the last one and it’s due in 1 hour Tysm if you do!!
Answer:
4
Step-by-step explanation:
Well 3 x 4 equals 12, 12 x 4 equals 48, and so on.
hope this helps!
Using a compass and a straightedge, a student constructed a triangle in which XY is one of the sides.
The length of the compass so that ΔXYZ is isosceles and not equilateral could be;
Option C; between ¹/₂XY and XY
Option E; greater than XY
We are told that;
Student has drawn a line XY
Now the student opened the compass with a set length to draw two intersecting arcs with X and Y as centers.
Now, for these two arcs to meet, the compass has to be opened to a length that is more than half of segment XY.
Secondly, since the triangle is not equilateral, it means the compass cannot be opened to length AB.
The next step would be t open the compass to a length slightly bigger or slightly smaller than AB.
Finally, the options that apply are Options C and E.
Read more about construction of Isosceles triangles at; https://brainly.com/question/2520169
Darin bought a new pair of soccer cleats for $59.99. The sales tax is 6.5%. What is the total cost the Darin will pay?
Answer: $63.89
Step-by-step explanation:
In order to find the answer, you have to add the amount charged for the soccer cleats plus the amount of the sales tax.
[tex]59.99 + .065(59.99) = $63.889[/tex]
$63.889 rounded is equal to: $63.89Challenge Question: A(1, 5), B(5, 2), C(-1, 2) PLZ ANSWER ASAP
Translate 3 units left, 4 units down
Reflect over y - axis
Dilate with a scale factor of 1.5
Rotate 90 degrees C.C about the origin.
Answer: the
Step-by-step explanation: your so broke you cant even afford lunch
Leo's hair is longer than Wes's hair. Wes's hair is longer than Ella's hair. Whose hair is longer
Answer:
Leo
Step-by-step explanation:
Leo > Wes
Wes > Ella
Leo > Wes > Ella
Answer:
Leo's hair is longer than both Wes's and Ella's hair.
Step-by-step explanation:
Leo's hair> Wes's hair>Ella's hair
What is the image of the point (−7,−3) after a rotation of 9 0 ∘ counterclockwise about the origin?
It is best to use graph paper to visualise. A(-7, 9) is in 2nd quadrant, rotating 90 CCW brings the point in the 3rd quadrant to (-9, -7)
in general P (a, b) CCW P’(-b,a)
write in point slope form an equation of the line that passes through point (6,5) with slope 3
Answer:
y - 5 = 3(x - 6)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
Here m = 3 and (6, 5 ) a point on the line , then
y - 5 = 3(x - 6) ← equation of line
Consider a box weighing one pound. Five statues are in the box. The total weight is 36 pounds. How much does each statue weigh?
Answer:
7 Pounds
Step-by-step explanation:
36 pounds - 1 pound= 35 pounds
The 5 statues weigh 35 pounds.
35 pounds ÷ 5 statues= 7 pounds
Each statue weighs 7 Pounds
Dwayne plans to add a railing parallel to a flight of stairs that goes down to the basement in his house. The stairs have the dimensions shown in the sketch. Landing 7.5 in 9.5 in 7.5 95 9.5 What will be the length of the railing from Point A to Point B? Show or explain how you got your answer.
Answer:
121 inches
Step-by-step explanation:
See the attached diagram. We can form a right triangle as shown. The base and sides of the right triangle can be computed by adding the 10 steps of horizonal distance 9.5" (95" for the base) and the 10 vertical distances of 7.5" (75" total) for the height. Use the Pythagorean Theorem to calculate the hypotenuse, which will be the same as the railing length.
A circular fish pond is shown below. What
is the circumference of the pond? The radius is 18.5cm
Answer:
about 116.18
Step-by-step explanation:
Circumference is 2PI*radius
So it should equal 37*3.14 which equals about 116.18
What are the outliers for 7,1,9,9,12,25,9,7,7,
NEED HELP PLEASE!!!!!!!
can someone help me pls
Answer:
i think you add them not sure...
Step-by-step explanation:
40+44+44+??
ok?
Answer:
x=88°
x-44°=88°-44°=44°
Step-by-step explanation:
angle A+ angle B+angle C=180°
48°+x-44°+x°=180°
=48°-44°+x°+x°=180°
=4°+2x°=180°
=4°-4°+2x°=180°-4°
=2x°=176°
=2x°/2=176°/2
=x°=88°
x°-44°=88°-44°
=x°-44°=44°
use substitution method (y = 2x-10 (2y=x-8
Answer:
(4, -2)
Step-by-step explanation:
Use the expression for y given by the first equation to substitute for y in the second equation.
2(2x -10) = x -8 . . . substitute for y
4x -20 = x -8 . . . . . eliminate parentheses
3x = 12 . . . . . . . . add 20-x
x = 4 . . . . . . . . .divide by 3
y = 2(4) -10 = -2 . . . substitute for x in the first equation
The solution is (x, y) = (4, -2).
[tex]\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}[/tex]
We've been given to find out the values of x & y from the two given linear equations by substitution method.
Here we have,
y = 2x - 10 - - - - - (1) 2y = x - 8 - - - - - (2)As we have given the value of y i.e (y = 2x - 10) placing this value of y in the second equation we get,
[tex]:\implies\tt{2(2x - 10) = x - 8}[/tex]
[tex]:\implies\tt{4x - 20 = x - 8}[/tex]
[tex]:\implies\tt{4x - x = - 8 + 20}[/tex]
[tex]:\implies\tt{3x = 12}[/tex]
[tex]:\implies\tt{x = \frac{12}{3} }[/tex]
[tex]:\implies\tt{x = 4}[/tex]
Placing x = 4 in equation (1) we get,
[tex]:\implies\tt{y = 2x - 10}[/tex]
[tex]:\implies\tt{y = 2 \times 4 - 10}[/tex]
[tex]:\implies\tt{y = 8 - 10}[/tex]
[tex]:\implies\tt{y = - 2}[/tex]
The solution of the given system for linear equation is (x,y) = (4,-2)Evaluate –3ab when a = –2 and b = 5.
Answer:
30
Step-by-step explanation:
Evaluate –3ab when a = –2 and b = 5.
-3ab = -3(-2)(5)
-3(-10)
; (-)×(-) = +
30
Answer:
-30
Step-by-step explanation:
-3ab original equation
-3(-2)(-5) . plug in numerical values
6(-5) . -3 times -2 is 6
-30 . 6 times -5 is -30.
A store Is having sale on jelly beans and almonds. For 2 pounds of jelly beans and 12 pounds of almonds, the total cost Is $23. For 5 pounds of jelly beans and
3 pounds of almonds, the total cost Is $17. Find the cost for each pound of jelly beans and each pound of almonds.
Cost
for each pound of Jelly beans: $[]
x 5
Ratio: 2/23 : 1/x
x is $11.5
So 1 pound of jelly beans cost $11.5
3/17 : 1/x
x is 5.67
So 1 pound of almonds cost $5.67
Answer:
Jellybeans are $2.25 per pound
Almonds are $1.25 per pound
Step-by-step explanation:
Let x = jelly beans Let y = almonds
Equation 1
5x + 3y = 15
Equation 2
2x + 6y = 12
Multiply Equation 1 by negative 2 to give
-10x - 6y = -30
Add this to Equation 2 to eliminate y
-10x - 6y = -30 2x + 6y = 12
The y is eliminated leaving
-8x = -18
Divide both sides by negative 8 to give
x = 2.25
Substitute this value back into Equation 2 to solve for y
2x + 6y = 12 2(2.25) + 6y =12 . 4.50 + 6y = 12
Subtract 4.50 from both sides of the equation to give
6y = 7.50
Divide both sides by 6 to solve for y
y = 7.50/6
y= 1.25
A 10-foot board is reduced in a 4-foot board. What is the percent decrease in length?
what figure is a rotation of figure
Answer:
b
Step-by-step explanation:
what grade?
Answer number 7: Only number 7 please.
Answer:
C -7, 3
Step-by-step explanation:
Answer:
A (7, 3).
Step-by-step explanation:
( -7, -3) reflected over the x axis goes to the point (-7, 3)
(-7, 3) reflected across the y axis goes to (7, 3).