Answer:
x = 1.348331477 and 0.148331477
Step-by-step explanation:
TEPS USING THE QUADRATIC FORMULA2x(5x−2)+(3x−0.5)2=2x+3+10x−5+2x+3Use the distributive property to multiply 2x by 5x−2.10x2−4x+(3x−0.5)×2=2x+3+10x−5+2x+3Use the distributive property to multiply 3x−0.5 by 2.10x2−4x+6x−1=2x+3+10x−5+2x+3Combine −4x and 6x to get 2x.10x2+2x−1=2x+3+10x−5+2x+3Combine 2x and 10x to get 12x.10x2+2x−1=12x+3−5+2x+3 Subtract 5 from 3 to get −2.10x2+2x−1=12x−2+2x+3Combine 12x and 2x to get 14x.10x2+2x−1=14x−2+3Add −2 and 3 to get 1.10x2+2x−1=14x+1Subtract 14x from both sides.10x2+2x−1−14x=1Combine 2x and −14x to get −12x.10x2−12x−1=1Subtract 1 from both sides.10x2−12x−1−1=0Subtract 1 from −1 to get −2.10x2−12x−2=0This equation is in standard form: ax2+bx+c=0. Substitute 10 for a, −12 for b, and −2 for c in the quadratic formula, 2a−b±b2−4ac.x=2×10−(−12)±(−12)2−4×10(−2)Square −12.x=2×10−(−12)±144−4×10(−2)Multiply −4 times 10.x=2×10−(−12)±144−40(−2)Multiply −40 times −2.x=2×10−(−12)±144+80Add 144 to 80.x=2×10−(−12)±224Take the square root of 224.x=2×10−(−12)±414The opposite of −12 is 12.x=2×1012±414Multiply 2 times 10.x=2012±414Now solve the equation x=2012±414 when ± is plus. Add 12 to 414.x=20414+12Divide 12+414 by 20.x=514+3Now solve the equation x=2012±414 when ± is minus. Subtract 414from 12.x=2012−414Divide 12−414 by 20.x=53−14The equation is now solved.
x=514+3x=53−14
A graph shows the preimage and image of a shape that has undergone one transformation. If the preimage and image are not congruent what transformation was applied?
A. reflection
B. rotation
C. dilation
D. translation
Answer:
C. dialtion
Step-by-step explanation:
A dialtion either reduces or enlarges the dimensions of a shape, causing for them to no longer be congruent.
A reflection wouldn't change the congruency of the shape since it is just reflecting it across whatever axis. The dimensions stay the same.
A rotation would simply rotate/turn the shape. The dimensions would not be changed.
A translation would slide the shape elsewhere whether it be vertically, horizontally, or diagonally. The dimensions would not change.
Therefore, we can conclude that option C makes the most sense.
hope this helps!
I need this answered
Hey ! Buddy
Question : -Find the value of x .
Given : -Angle 1 = x°Angle 2 = 43°Angle 3 = 36°To Find : -We have to find the value of x .
Concept : -The concept of this question belongs to the sum of all the three interior angles of triangle i.e. sum of all the three interior angles of triangle is equal to 180° .
So Our Solution Starts From Here :As we know that sum of all the three interior angles of triangle is equal to 180° . So ,
[tex] \rightarrow \: Angle \: 1 + Angle \: 2 \: + Angle \: 3= 180°[/tex]
Now , substituting values of Angle 1 , 2 and 3 :
[tex] \longmapsto \: x° + 43° + 36° = 180° [/tex]
Now , adding 43 and 36 in right hand side :
[tex] \longmapsto \: x° + 79° = 180° [/tex]
Now , transposing 79° to right hand side :
[tex] \longmapsto \: x° = 180° - 79° [/tex]
Now , subtracting 79° from 180° :
[tex] \longmapsto \: \pink{\boxed{ { \bold{x° = 101°}}}}[/tex]
Therefore , value of angle x is 101°.#[tex] \sf{Keep \: Learning}[/tex]The figure formed by (−3, 2), (−4, 1), and (−1, −5) is translated 3 units right and 5 units up. What are the coordinates of the new figure?
Translating the figure involves chaging the position of the figure
The coordinates of the new figure are (0, 7), (1 , 6), and (2, 0)
The coordinates of the new figureThe coordinates are given as:
(−3, 2), (−4, 1), and (−1, −5)
The rule of translation 3 units right and 5 units up is:
(x + 3, y + 5)
So, we have:
(−3 + 3, 2 + 5), (−4 + 5 , 1 + 5), and (−1 + 3, −5 + 5)
Evaluate the sum
(0, 7), (1 , 6), and (2, 0)
Hence, the coordinates of the new figure are (0, 7), (1 , 6), and (2, 0)
Read more about translation at:
https://brainly.com/question/11468584
help me please i am so confused please
Answer: 75$
Step-by-step explanation:
1/4 is equal to 25/100.
meaning that 1/4 is 25 out of 100.
Based on that, if we subtract 25 from 100 we get 75.
Pls help and explain it
Answer:
→ Compare the 2 grade A's
School B's is higher
→ Compare the 2 grade B's
School B's is higher
→ Now formulate a brief response
School B has more entrants in the exam and therefore has a higher proportion of students achieving top grades
A student skipped a step when she tried to convert 1 1 hours to seconds , and she got the following incorrect result
Answer:
39600
Step-by-step explanation
for the amount of minutes we'll multiply 11*60
11*60=660
for the amount of seconds we'll multiply the amount of minutes by 60 so
660*60=39600
Ava invests money in an account paying simple interest. She invests $130 and no money is added or removed from the investment. After one year, she has $132.60. What is the simple percent interest per year?
well, she put 130 bucks, and then she got back 132.6 after one year, so the interest earned is 132.6 - 130 = $2.6, thus
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$2.60\\ P=\textit{original amount deposited}\dotfill & \$130\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases} \\\\\\ 2.60 = (130)(\frac{r}{100})(1)\implies 2.6=\cfrac{130r}{100}\implies 260=130r \\\\\\ \cfrac{260}{130}=r\implies 2=r[/tex]
Answer:
yes
Step-by-step explanation:
A bond issued by ford on may 15, 1997 is scheduled to mature on may 15, 2097. if today is november 16, 2020, what is this bond's time to maturity?
The bond's time to maturity for the Ford bond based on the present date and the maturity date is 77 years 6 months.
What is the time to maturity?The time to maturity for a bond is the length of time that a bondholder would receive interest payments on the bonds held. It is the difference between the present date and the matuity date of the bond.
Time to maturity = May 15 2097 - November 16, 2020 = 77 years 6 months
To learn more about bonds, please check: https://brainly.com/question/13326746
Kevin is remodeling his bathroom. He needs to cut a circular hole out of a countertop to place the sink, as shown in the figure. What will be the area of the countertop once Kevin cuts the hole, to the nearest square inch? Use 3.14 as an approximation for pi.
Answer:
838 inches²
Step-by-step explanation:
Finding the area of the countertop including the hole
⇒ Area of countertop including hole: LB
⇒ Area of countertop including hole: (24)(48)
⇒ Area of countertop including hole: 1152 inches²
Finding the area of the hole (sink)
⇒ Area of hole: πr²
⇒ Area of hole: (π)(D/2)²
⇒ Area of hole: (π)(20/2)²
⇒ Area of hole: (π)(10)²
⇒ Area of hole: (π) x 100
⇒ Area of hole: 3.14 x 100 = 314 inches²
Finding the area excluding the hole
1152 - 314 = Area of countertop (excluding the hole)
838 inches² = Area of countertop (excluding the hole)
f(x)=-3x-23
g(x)=3x+25
I need points X and y
I will give brainly
Answer:
refer to this image here:
hope this helps :)
We will use graphical way to solve it
y=-3x-23y=3x+25Graph it
Solution is
(-8,1)A bowl contains 7 white pebbles and 11 black pebbles. A pebble is chosen and not replaced, then another pebble is picked. What is the
probability that the first one is a white pebble and the second one a black pebble?
O a
7
18
Ob
11
18
Ос
11
17
Od
77
306
Answer:
17 because 2 is taken from 18 and 18-2=16 but 17 and 17 is close to 16
The dimensions of a rectangular garden were 5 m by 12 m. Each dimension was increased by the same amount. The garden then had an area of 120 m2. Find the dimensions of the new garden.
if dimensions were 5 and 12, that means ratio was 5:12. if we increase wach dimension by the same amount, the ratio is the same.
so:
5x×12x=120
60x²=120
x²=120÷60
x²=2
x=√2
that means each dimension was increased by √2
so dimensions are: 5√2 and 12√2
Which of these could be the lengths of right triangle abc
A) 4,3,7
B) 5,7,12
C) 6,8,10
D) 7,8,15
Answer: C
Step-by-step explanation:
This is a Pythagorean triple.
Help please!
Betty is 5 more than 3 times Jadyn's age. Betty is 41 old.
Write and solve an equation to find Jadyn's age, x
Equation:
Solution: x=
Jadyn is( ) years old.
Answer:
12 years old
Step-by-step explanation:
3x+5=41
3 times a number and 5 more
'more' usually means adding
41-5 =36
36/3 =12
Answer:
Equation: 41 = 3x + 5
x = 12
Step-by-step explanation:
Hello!
Betty is 5 more than 3 times Jadyn's age. Since Jadyn's age is unknown, we'll call that unknown variable x.
Betty is 5 more than 3 times x. Betty is also 41 years old.
Equation: 41 = 3x + 5
Now we have to solve for x
Solve for x:
41 = 3x + 536 = 3xx = 12
Jadyn is 12 years old.
Juanita a talented artist. She makes and sells t-shirts showing her art work.
She bought a silk screen machine for $400. The materials to make each shirt
cost her $ 8.00. If she sells her shirts for $28, how many shirts must she sell to
make a profit?
Answer:
answer 436 tubig is water halimaw is monster ang Ganda mo Sana kaso ang height mo pang kinder
Step-by-step explanation:
answer is 436 I hope it helps
A small bus has seats for 16 passengers. Which equation can be used to find the number of passenger seats, n, in b small
buses?
A
n = 16-b
B
b = 16n
C
b = 16+n
D
n = 16b
Answer:
D, n=16b
Step-by-step explanation:
There are 16 busses, each of which can hold 16 seats. There are n of those busses.
Therefore, 16*n = the total number of seats on the busses altogether.
what is the volume of this?
Answer:
c
Step-by-step explanation:
Please help me and tysm!
Answer:
200
Step-by-step explanation:
156.7
since the number before the hundred is more than 4
it becomes 200
If each vowel in the word COLLEGE substitutes with the next letter of the English alphabetical series and each constant is substituted with the 2nd letter preceding it. How many vowels are present in the new arrangement? Fast plsssssssssssss with steps....
Answer:
2
Step-by-step explanation:
Following the substitution rules:
O becomes P and
E becomes F
because they are vowels(a,e,i,o,u) change to next letter.
C becomes A
L becomes J
G becomes E
because constants change to the letter two before the given letter.
So COLLEGE becomes APJJFEF
so it now has 2 vowels.
what is the exact volume as x? (attached image)
Answer:
x = 25
Step-by-step explanation:
The 45-45-90 triangle is a special isoceles right triangle. If you look at the help image attached, you will see that it has the following rules:
a = xb = xc = x√2Find x
c = x√2
25√2 = x√2
25√2 ÷ √2 = x
x = 25
I hope this helps!
what is the formula of equilateral triangle .class-8
Answer:
Step-by-step explanation:
The perimeter of an equilateral triangle is:
P = 3a (where a any length of the triangle)
The area of an equilateral triangle is:
[tex]A = \frac{\sqrt{3} }{4} a^{2}[/tex] (where a is the side length)
Using the area formula we can rearrange it to get the formula of the length of the equilateral triangle:
[tex]a = \frac{2}{3} 3^{\frac{3}{4} } \sqrt{A}[/tex]
Then three important formulas are
[tex]\\ \rm\Rrightarrow Perimeter=3s[/tex](As sides are equal)
[tex]\\ \rm\Rrightarrow Area=\dfrac{\sqrt{3}}{4}s^2[/tex]
[tex]\\ \rm\Rrightarrow Height=\dfrac{\sqrt{3}s}{2}[/tex]
What is an equation of the line that passes through the points (4, 7) and (-3, 7)?
Step-by-step explanation:
Slope= 7-7/-3-4
0/-7
0
y-7 = 0(x-4)
y-7= 0
y=7MARK ME AS BRAINLISTwhat is equivalent to 8x-12y+32
Answer:
C. 16(0.5x - 0.75y + 2) = 8x - 12y + 32
Step-by-step explanation:
Answer:
Yeah I got the answer
Step-by-step explanation:
C option is correct
We will have to take common like this
. 16(0.5x - 0.75y + 2) = 8x - 12y + 32
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
What is the value of x? Enter your answer in the box.
x =
Answer: 12
Step-by-step explanation:
A straight line has a measurement of 180° so these two angles added together will equal 180°.
(10x - 20)° + (6x + 8)° = 180°
10x° + 6x° + 8° - 20° = 180°
16x° -12° = 180°
16x° = 192°
x = 12
Supplementary angles
10x-20+6x+8=18016x-12=18016x=180+1216x=192x=192/16x=12Devaughn is 6 years older than Sydney. The sum of their ages is 80. What is Sydney's age?
Answer:
37 and 43
Step-by-step explanation:
There are some ways to do this, but this is what I like to do. First, since there are 2 people, I divide 80 by 2, which is 40. Now I add 3 to one person and subtract 3 from one person, because the age difference is 6 years, and there are two people (if you divide them you get 3). Now you get the answer; 37 and 43.
Find the slope of the line that is parallel and perpendicular to the following equation.
2x - y = 1
Answer:
Slope of the line that is parallel: 2
Slope of the line that is perpendicular: [tex]-\frac{1}{2}[/tex]
Step-by-step explanation:
For the parallel line:
Rewrite your equation to slope-intercept form: y = mx + b
y = mx + b
m = slopeb = y-intercept (when x = 0)2x - y = 1 <== subtract 2x to both sides
-2x -2x
-y = -2x + 1 <== divide both sides by -1
/-1 /-1
y = 2x - 1
The slope of the line that is parallel to this line is 2.
For the perpendicular line:
*Perpendicular lines have negative reciprocals*
Steps:
1. Take your original slope (2)
2. Flip it (1/2)
3. Change the sign (-1/2)
For a slope of 2, the reciprocal would be: [tex]-\frac{1}{2}[/tex]
Hope this helps!
Note that.
Slopes of parallel line are equal
Slopes of perpendicular lines are negative reciprocals
So
2x-y=1y=2x-1Compare to slope intercept form
slope=m=2Slope of the parallel line=2
Slope of the perpendicular line=-1/2
What is the measure of the missing angle?
What is the length of BD?
A. 53.3 units
B. 30 units
C. 67.5 units
D. There is not enough information to determine the length of BD.
Answer: B
Step-by-step explanation:
h circles have the same center. What is the area of the shaded region?
d=19.6 mm
17.4 mm
Use 3.14 for . Write your answer as a whole number or a decimal rounded to the nearest hundredth.
Answer:
the answer is 725.71
Step-by-step explanation:
Find the square. Then simplify your answer.
Answer:
4a²-8a+4
Step-by-step explanation:
[tex](2a-2)^{2} =(2a-2)(2a-2)[/tex]
[tex](2a-2)(2a-2) = 4a^{2} -4a-4a+4[/tex]
[tex]4a^{2} -4a-4a+4=4a^{2} -8a+4[/tex]