Answer:
x = -1/2
Step-by-step explanation:
4x^2 + 4x + 1 = 0
Factor
(2x+1)(2x+1) =0
Using the zero product property
2x+1 = 0 2x+1 =0
2x = -1 2x=-1
x = -1/2 x = -1/2
help me out please
(geometry)
Answer:
x = 17
Step-by-step explanation:
The angles are same side interior angles and they will add to 180 when the lines are parallel
6x+8 + 4x+2 = 180
10x+10 = 180
Subtract 10 from each side
10x+10-10 =180-10
10x = 170
Divide by 10
10x/10 = 170/10
x = 17
Answer:
x = 17
Step-by-step explanation:
Theorem:
If two lines are cut by a transversal such that same-side interior angles are supplementary, then the lines are parallel.
For the lines to be parallel, the sum of 6x + 8 and 4x + 2 must equal 180.
6x + 8 + 4x + 2 = 180
10x + 10 = 180
10x = 170
x = 17
Which of the following contains a variable?
A. He scored a 95 on the test.
B. The bug crawled 15 inches per second.
C. The area is 56 square centimeters.
D. Ana is 3 years older than Mark.
Answer:
D. Ana is 3 years older than Mark.
Step-by-step explanation:
We do not know how old Mark is. That is the variable
Multiply the polynomial vertically:
1/2x^2(12x^2 - 4x + 2)
Step-by-step explanation:
= 1/2x^2.12x^2 - 1/2x^2.4x + 1/2x^2.2
= 6x^4 - 2x^2 + x
Which angles are adjacent to each other?
• Angle KGD and Angle AEB
• Angle BEC and Angle AEB
• Angle AEB and Angle ECU
• Angle JCI and Angle KGD
Answer:
Step-by-step explanation:
adjacent angles have a common vertex and a common ray
∠BEC and ∠AEB (common vertex E common ray EB)
Rational between √16 and √17
Answer:
41/10
Explanation:
sqrt16 = 4
sqrt17 = 4.12
4.1 = 41/10 and 4<4.1<4.12
Jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x because each x has a different unknown coefficient. Victoria believes there is a solution, and shows Jalil her work:
ax – c = bx + d
ax – bx = d + c
x (a – b) = d + c
x = x equals StartFraction d plus c Over a minus b EndFraction.
How can Victoria justify Step 3 of her work?
Answer:
A: Rewrite the expression on the left using the distributive property.
please help me with this
Answer:
4y2 - 12y
Step-by-step explanation:
2+4y-16y+32(Combine like-terms)
2−12y+32(Combine like-terms)
Answer:
The answer is [tex]4y^{2} -12y[/tex]
Step-by-step explanation:
To simplify the polynomial, start by combining like terms. Add [tex]y^{2}[/tex] and [tex]3y^{2}[/tex] to get [tex]4y^{2}[/tex]. Then, subtract [tex]16y[/tex] from [tex]4y[/tex] to get [tex]-12y[/tex]. Finally, the simplified answer is [tex]4y^{2} -12y[/tex].
pls help w work!!
The equation P=2(L + W) is used to find the
perimeter, P, of a rectangle based on the length, L,
and Width, W. Which of the following correctly expresses the value of the width?
(a) P - 2L
(b) P - 2L / 2
(c) 2L - P / 2
(d) 1/2 (P-L)
Lets Do
[tex]\\ \sf\longmapsto p = 2(l + w) \\ \\ \sf\longmapsto l + w = \frac{p}{2} \\ \\ \sf\longmapsto w = \frac{p}{2} - l \\ \\ \sf\longmapsto \boxed{ \bf \: w = \frac{p - 2l}{2} }[/tex]
triangles help pls!!
Answer:
x = 60
Step-by-step explanation:
The single dashed line represents congruent side lengths.
If every side of a triangle has a single dashed line then all of the sides are congruent meaning that the triangle is an equilateral
Equilateral triangles have all congruent side lengths and angles
In an equilateral triangle each angle has a measure of 60 degrees
So x = 60
Answer:
Step-by-step explanation:
A parallelogram is divided into two triangles, both triangles having equal sides.
So triangles are equilateral..In equilateral triangles, the angles are also equal..the interior angles of a triangle are 180 degrees..
180 ÷ 3 = 60 degree---> x:60°
Solve for x. Round to the nearest tenth of a degree, if necessary. Please HELP!
Answer:
x = 29.5
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos x = adj side/ hypotenuse
cos x = 67/77
Taking the inverse cos of each side
cos^-1( cos x) = cos^-1 (67/77)
x = 29.52626525
To the nearest tenth
x = 29.5
find the mean of the following 2x-5y,5x+2y,8x+6y,x-y
Answer: 4x + 0.5y
Step-by-step explanation:
Concept:
Here, we need to understand the idea of the mean (average).
The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
**Disclaimer** I assume the question is asking for the arithmetic mean instead of geometric. If it was, then you can refer to my answers. If it was not, then you can point it out and I will redo the question.
Terms: 2x-5y, 5x+2y, 8x+6y, x-y
Number of terms: 4
[(2x-5y) + (5x+2y) + (8x+6y) + (x-y)] / 4
=[2x + 5x + 8x + x + 2y - 5y + 6y - y] / 4
=[16x + 2y] / 4
=4x + 0.5y
Hope this helps!! :)
Please let me know if you have any questions
SP= 328, Profit = Rs 29
[tex]sp = 328 \\ p = 29 \\ cp = .... \\ \\ p = sp - cp \\ 29 = 328 - cp \\ cp = 328 + 29 \\ cp = 357[/tex]
Two towns A and B are 220km apart. A bus left town A at 11.00 AM and travelled towards town B at 60km/hr. At the same time, a van left town B for town A and travelled at 80km/hr. The van stopped for a total of 45 minutes on the way before meeting the bus. Calculate the distance covered by the bus before meeting the van. Please show clear working and explanation to get a brainlist !!!
Answer:
Sa / Va = time traveled by bus a
Sb / Vb + 3/4 = time traveled by van b
Sa / Va = Sb / Vb + 3/4 times traveled are the same
= (220 - Sa) / Vb + 3/4
Sa ( 1 / Va + 1 / Vb) = 220 / 80 + 3/4
Sa (140 / 4800) = 3.5
Sa = 120 km
Check: 120 km / 60 km/hr = 2 hr = Ta
Sb = 1.25 * 80 = 100 km traveling for 1.25 hrs
Rewrite the equation by completing the square.
x^2-x-20=0
(x+ ? )^2= ?
please help me
Answer:
[tex](x-\frac{1}{2})^2=\frac{81}{4}[/tex]
Step-by-step explanation:
Hi there!
[tex]x^2-x-20=0[/tex]
This equation is written in the form [tex]ax^2+bx+c=0[/tex]. First, use partial factoring:
[tex](x^2-x)-20=0[/tex]
For x^2-x, the b value is -1 in [tex]ax^2+bx+c[/tex]. To complete the square, take the square of half of 1 and add it in the parentheses as the c value:
[tex](x^2-x+\frac{1}{2}^2 )-20=0[/tex]
However, when adding values to one side of the equation, we must to the same to the other side:
[tex](x^2-x+\frac{1}{2}^2 )-20=\frac{1}{2}^2[/tex]
Complete the square:
[tex](x-\frac{1}{2})^2-20=\frac{1}{4}[/tex]
Move 20 to the other side
[tex](x-\frac{1}{4})^2=\frac{1}{4}+20\\(x-\frac{1}{2})^2=\frac{81}{4}[/tex]
I hope this helps!
please me in the math
[tex]6 {x}^{6} + 6 {x}^{4} + 6 {x}^{2} and \: \\ 4 {x}^{6} - 4 {x}^{x} \\ it \: is \: lcm[/tex]
Answer:
I'm sorry I'm not good at math
Step-by-step explanation:
sorry
In △MNP , point Q is between points M and N, and point R is between points N and P. Point H is the incenter of the triangle, HQ⊥MN, and HR ⊥NP. QN=36 and HN=39 . What is HR ? Enter your answer in the box.
Answer:
15
Step-by-step explanation:
The given parameters are represented by drawing the triangle with the details given using MS Visio
The point Q is located between points M and N in ΔMNP
The point R is located between points N and P in ΔMNP
The incenter of the triangle = H
Line HQ is perpendicular to side MN on ΔMNP
Line HR is perpendicular to side NP on ΔMNP
The length of the segment QN = 36
The length of the segment HN = 39
By Pythagoras' theorem, HQ = √((HN)² - (QN)²)
∴ HQ = √(39² - 36²) = 15
HQ = 15
Given that H is the incenter of ΔMNP, the lengths of the perpendicular from H to the sides of the triangle are equal to the radius of the inscribed circle of the triangle
Therefore, the radius lengths are HQ, and HR
∴ HR = HQ = 15
HR = 15.
NEED THIS ASAP :)
What is the length of the y-component of the vector plotted below?
A. 3
B. 4
C. 1
D. 2
Answer:
4
Step-by-step explanation:
Length of the y component is how far the vector reaches vertically, so in this case it's 4
In order for the parallelogram to be a rhombus, x=?
Answer:
Step-by-step explanation:
The diagonal must be an angle bisector for a rhombus.
That means that both bisected angles are equal.
2x + 16 = 5x - 8 Add 8 to both sides
2x + 16 + 8 = 5x
2x + 24 = 5x Subtract 2x from both sides
24 = 5x - 2x
24 = 3x Divide by 3
24/3 = x
x = 8
-0.6the decimal in equivalent fraction form
[tex]\sf \: If \: the \: question \: is \: to \: convert \: - 0.6 \\ \sf \: to \: its\: equivalent \: fractional \: form \: then ⟹[/tex]
[tex]\sf \: - 0.6 \\ \sf= \frac{ - 6}{10} (direct \: fractional \: form) \\ \sf = \frac{ - 3}{5} (in \: simplified \: form)[/tex]
please! can somebody help me?
Step-by-step explanation:
The depth of the water is increasing by 2 feet each minute.
The base and height of a right triangle are 20 inches and 15 inches. Find the length of the hypotenuse.
Using the Pythagorean theorem:
Hypotenuse = sqrt( 20^2 + 15^2)
Hypotenuse = sqrt( 400 + 225)
Hypotenuse = sqrt(625)
Hypotenuse = 25
Answer: 25 inches
Answer:
25 inches
Step-by-step explanation:
We can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
20^2 + 15^2 = c^2
400 +225 = c^2
625=c^2
Taking the square root of each side
sqrt(625) = sqrt(c^2)
25 = c
x²- 9x + 20=0 it´s finding solutions for x
Answer:
Step-by-step explanation:
Sum = -9
Product = 20
Factors = -5 , -4 {-4 * -5 = 20 & -5 + (-4) = -9}
x² - 9x + 20 = 0
x² - 5x - 4x + 20 = 0 Rewrite middle term
(x² - 5x) - 4x + 20 = 0 Group terms
x(x - 5) - 4(x - 5) = 0 Factor terms
(x-5)(x -4)=0
x -5 = 0 ; x - 4 = 0
x = 5 ; x = 4
Ans: x = 5 , 4
Jada worked at the bakery for 14 hours last week he spent $12 of his earnings on a cake for his father‘s birthday as he was last with $86 after buying the cake what is Gianna‘s hourly wage
Answer:
$7 is his Hourly Wage.
Step-by-step explanation:
We can start by finding out how much money Jada started with by adding the amount of money he had after buying the cake with how much he spent on the cake, 86 + 12 = 98.
We now know how much money he had before buying anything. Now we can just divide the total amount of money by how long he worked.
98 ÷ 14 = 7
Each participant in a certain study was assigned a sequence of 3 different letters from the set {A, B, C, D, E, F, G, H}. If no sequence was assigned to more than one participant and if 36 of the possible sequences were not assigned, what was the number of participants in the study? (Note, for example, that the sequence A, B, C is different from the sequence C, B, A.)
Answer: 300
Step-by-step explanation:
Based on the information given in the question, the number of participants in the study will be calculated thus:
The number if letters in the set are 8 from A - H. This means that there are 8 ways to choose 3 letter when the ordering matters.
This will be:
= 8!/(8 - 3)!
= 8 × 7 × 6
= 336
Since 36 sequences were not assigned, therefore the numbers that were assigned will be:
= 336-36
= 300.
There were 300 participants.
Four cans of cat food and 3 cans of dog food cost $1.99. Four cans of the same cat food and 1 can of the same dog food cost $1.33 hat is the cost of one can of cat food
Answer:
$0.25
Step-by-step explanation:
We can use System of Equations to find out how much a can of cat food costs.
Let's use variables to represent the cat food and dog food:
x = cost of 1 cat food can
y = cost of 1 dog food can
Here are our 2 equations based on the scenarios in the question:
4x + 3y = 1.99
4x + y = 1.33
Now let's set the second equation to y using basic algebra:
4x + y = 1.33
y = -4x+1.33
And we're going to plug that value of y, which is -4x+1.33 into the first equation and solve:
4x + 3y = 1.99
4x + 3(-4x+1.33) = 1.99
4x + -12x+3.99 = 1.99
-8x + 3.99 = 1.99
-8x = -2
x = 1/4
x = 0.25
1 can of cat food costs $0.25
Hope that helps (●'◡'●)
Answer:
.25
Step-by-step explanation:
set up equations
1)4c+3d=1.99
2)4c+d=1.33
Method of use:Elimination
4c+3d=1.99
- (4c+d)=-(1.33)
___________
=2d=.66
divide by two on both sides to get .33 for d.
plug in
4c+.33=1.33
subtract .33 on both sides
4c=1
divide by four on both sides to get c
c=1/4 or .25
what is the value of a if va- vh is equals to 1
Answer:
[tex] \displaystyle a = \frac{1+vh}{v}[/tex]
Step-by-step explanation:
we want to figure out a value of a for the following condition
[tex] \displaystyle va - vh = 1[/tex]
to do so factor out v;
[tex] \displaystyle v (a - h )= 1[/tex]
divide both sides by v which yields:
[tex] \displaystyle \frac{(a-h) \cancel{(v)}}{ \cancel{v}}= \frac{1}{v} [/tex]
therefore,
[tex] \displaystyle a-h = { \frac{1}{v}}[/tex]
now,add h to both sides:
[tex] \displaystyle a = \frac{1}{v}+h[/tex]
further simplification if necessary:
[tex] \displaystyle a =\boxed{ \frac{1+vh}{v}}[/tex]
factor out of v
[tex]\sf{v(a-h)=1 }[/tex]Dividing both sides by (v)
[tex]\sf{\dfrac{v(a-h)}{(v)}=\dfrac{1}{(v)} }[/tex]cancel out (v)
[tex]\sf{\dfrac{\cancel{v}(a-h)}{\cancel{(v)}}=\dfrac{1}{(v)} }[/tex][tex]\sf{ a-h=\dfrac{1}{v} }[/tex]
add h in both sides
[tex]\sf{a-h+h=\dfrac{1}{v}+h }[/tex]cancelout h
[tex]\sf{a-\cancel{h}+\cancel{h}=\dfrac{1}{v}+h }[/tex] [tex]\sf{a=\dfrac{1}{v}+h }[/tex] [tex]\boxed{\sf{a=\dfrac{1+vh}{v} } }[/tex][tex]\sf{ }[/tex] [tex]\sf{ }[/tex]
Therefore:-the value of a if va- vh is equals to 1 is [tex]\bold{\dfrac{1+vh}{v} }[/tex]
Please help!!!!!!!!!!!!!!
Answer:
7^-22
Step-by-step explanation:
Exponent laws.
What is the answer and the way of writing method for 4.15 × 3.85 Evaluate
Step-by-step explanation:
4.15 × 3.85
= (4 + 0.15) ( 4 - 0.15)
= (4)^2 - (0.15)^2
= 16 -- 0.0225
= 15.9775
HOPE IT HELPS
A macaroni and cheese recipe calls for 's of a 2 % pound block of cheese. How many pounds
are needed?
Mr. Williams ask to buy 1/2 of a pan of brownies that is 2/3 full. What fraction of the original pan does he buy?
4/6
Mr. williams wants to buy 4/6
Answer:
there is some missing information here
if the pas is a dozen brownies
1/2 of a pan is 6 2/3 of 6 would be "4"
how much mac-n-cheese are being made?
that information would be needed to solve this
Step-by-step explanation:
Can someone please help
Answer:
[tex]162.07[/tex]
Step-by-step explanation:
An image that creates represents this situation has been attached to this answer. As one can see, the diagram models the situation, the angle of depression represents the angle between the horizon line and the line of sight. The horizon line and the tower form a right angle (a (90) degree angle). This means that the angle of depression is complementary to the angle of sight. Therefore, one can state the following:
[tex](angle\ of\ depression) + (angle\ of \ sight)=90[/tex]
Substitute,
[tex](angle\ of\ depression) + (angle\ of \ sight)=90[/tex]
[tex](m<ABD)+(m<DBC)=90[/tex]
[tex]42+(m<DBC)=90[/tex]
Inverse operations,
[tex]42+(m<DBC)=90[/tex]
[tex]m<DBC=48[/tex]
Now one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are a series of ratios that describe the relationship between the sides and angles in a right triangle. These ratios are as follows:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Bear in mind, the terms (opposite) and (adjacent) are subjective, and change depending on the reference angle. However, the term (hypotenuse) refers to the side opposite the right angle and is constant regardless of the reference angle.
In this case, one has found an angle in the triangle, one is given the measure of the side opposite this angle, and one is asked to find the side adjacent to this angle. Therefore, it would make the most sense to use the ratio tangent (tan).
[tex]tan(\theta)=\frac{opposite}{adjacnet}[/tex]
Substitute,
[tex]tan(48)=\frac{180}{adjacent}[/tex]
Inverse operations,
[tex]tan(48)=\frac{180}{adjacent}[/tex]
[tex]adjacent=\frac{180}{tan(48)}[/tex]
[tex]adjacent=162.07[/tex]
