Answer:
Step-by-step explanation:
Here's the game plan. In order to find a point on the x-axis that makes AC = BC, we need to find the midpoint of AB and the slope of AB. From there, we can find the equation of the line that is perpendicular to AB so we can then fit a 0 in for y and solve for x. This final coordinate will be the answer you're looking for. First and foremost, the midpoint of AB:
and
Now for the slope of AB:
and
So if the slope of AB is 1/3, then the slope of a line perpendicular to that line is -3. What we are finding now is the equation of the line perpendicular to AB and going through (0, 3):
and filling in:
y - 3 = -3(x - 0) and
y - 3 = -3x + 0 and
y - 3 = -3x so
y = -3x + 3. Filling in a 0 for y will give us the coordinate we want for the x-intercept (the point where this line goes through the x-axis):
0 = -3x + 3 and
-3 = -3x so
x = 1
The coordinate on the x-axis such that AC = BC is (1, 0)
BRAINLEST IF CORRECT!!!!
x + 133 = 180
x = 180 - 133 (Linear Pair)
x = 47
Therefore x° = 47°
Answered by Gauthmath must click thanks and mark brainliest
Answer:
47
Step-by-step explanation:
reason: Being sum of supplement angle
Find the input (x) of the function y=5x-3 if the output (y) is 32
Answer:
x = 7
Step-by-step explanation:
Given
y = 5x - 3 ← equate 5x - 3 to 32
5x - 3 = 32 ( add 3 to both sides )
5x = 35 ( divide both sides by 5 )
x = 7 ← input
Answer:
x=7
Step-by-step explanation:
y=5x-3
y = 32
32 = 5x- 3
Add 3 to each side
32+3 = 5x-3+3
35 = 5x
Divide by 5
35/5 = 5x/5
7 =x
What's 179 square root
Show how
Answer:
The square root of 179 rounded up to 7 decimal places is 13.3790882. It is the positive solution of the equation x² = 179.
PLS HELP ASAP!!!!!!!!!!!!!!!!
For the function f(x)=3X+5/x+5 find f^1(x)
Answer:
When you see f^-1(x), its asking for the inverse. In this case, you swap y with x and solve for y.
The inverse is 5 / x - 8
In New York, an Uber costs $15 plus $1.84 per mile. If you are traveling from the airport, there is an additional charge of $7.95 for tolls.
How far can you travel from the airport by Uber for $45.84?
a.14 miles
b.10 miles
c.12 miles
d.23 miles
Answer: C; 12 miles
Solution:
1) Add the initial Uber cost ($15) and airport toll charge:
$22.95
2) Subtract 22.95 from 45.84
$22.89 to spend on miles
3) Divide 1.84 (cost per mile) from 22.89
≈ 12.44 miles
Round down to 12 miles or option C
- 6 x 8 - (4)² - (-72)
Answer:
[tex] - 6 \times 8 - {4}^{2} - ( - 72) \\ 48 - {4}^{2} - ( - 72) \\ 48 - 16 - ( - 72) \\ 48 - 16 + 72 \\ = 104[/tex]
91. Jack can read 45 pages of his book in one and a
half hours. At that rate, how long will it take him to
read the entire 300-page book?
Answer:
10 hours
Step-by-step explanation:
45 pages per 1 hour and 30 minutes, or 60 min +30 min =90 min
90 minutes / 45 pages has to be equal to an equivalent fraction where we have 300 pages
90 minutes /45 pages = ? minutes / 300 pages , multiply both sides by 300
? minutes = 90*300/45 = 600 minutes
to read 300-page book will take 600 minutes = 10 hours
Choose the correct equation to use for the following story problem: A bakery has two pastry ovens. When both ovens are used, it takes about 3 hours to bake the bread needed for one day. When only the large oven is used, it takes about 4 hours to bake the bread for one day. Approximately how long would it take to bake the bread for one day if only the small oven was used
Answer:
3 hour in my calculation
Answer:
3 hours. ......i think. ..........
Which of the choices below could be a scientific problem?
a. Tomato plants require 8 hours of direct sunlight to thrive.
b. Plant a tomato seedling 6 inches deep a large pot.
C. If tomato plants receive 4 hours of direct sunlight, then they will thrive.
d. How much sunlight do tomato plants need to thrive?
Answer:
D. How much sunlight do tomato plants need to thrive?
Step-by-step explanation:
The entrance fee to a local waterpark is $34 per person. At the waterpark, you can rent a raft for $1.50 per hour. Which expression is equivalent to the amount it would cost Leah for h hours in the park if she rented a raft?
Answer:
Step-by-step explanation:
The choices aren't given. Be careful to give choices if the question says there are choices. It makes answering kind of iffy.
C = 34 + 1.5*h where h is the number of hours Leah was in the park.
Determine whether the two triangles are similar.
Answer:
The Second One
Step-by-step explanation:
It Shows Side Lengths, and the angles for LOM and PON connect at O.
That means they share a similar angle, and between the angle are Sides.
SAS. (Side-Angle-Side)
(I'm not really good at math so i'm sorry if its wrong!)
John needs to rewrite the expression (4x3y5z)2. Identify which of the following is the simplified form of the expression.
A
4x5y7z3
B
4x6y10z
C
8x5y7z3
D
16x6y10z2
D [tex]\bold{16x^{6}y^{10}z²}[/tex]
Answer:
John needs to rewrite the expression [tex](4x^{3}y^{5}z)²[/tex]. Identify which of the following is the simplified form of the expression.
[tex](4x^{3}y^{5}z)²[/tex]
remenber that square is for all
and power is multiplied
[tex]4²x^{3*2}y^{5*2}*z²[/tex]
[tex]16x^{6}y^{10}z²[/tex]
Step-by-step explanation:
[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol{Rule: (a^n)^m=a^{n\cdot m }} \\\\\\ (4x^3\cdot y^5\cdot z)^2=4^2\cdot x^{3\cdot 2}\cdot y^{5\cdot 2}\cdot z^2=16 \ x^6 \cdot y^{10} \cdot z^2 \\\\\\ Answer : \boxed{ D)16 \ x^6 \cdot y^{10} \cdot z^2 }[/tex]
how do you do this with always never one solution 3х – 12 = 4х + 3 is this true or never true
3x - 12 = 4x + 3
3x - 4x = 3 + 12
-x = 15 / : (-1)
x = -15
Answer:
One solution
Step-by-step explanation:
3х – 12 = 4х + 3
3x - 4x = 3 + 12
-x = 15
x = -15
This is a one solution because x only equals 1 number.
Evaluate the function for x = 3a.
f(x) = 2x^2 – 3x +4
A. 9а
B. 6a^2- 9a + 4
C. 18a^2 - 9a +4
D. 12a^2 - 6a+4
Answer:
C
Step-by-step explanation:
We are given the function:
[tex]f(x) = 2x^2 -3x+4[/tex]
And we want to evaluate it for x = 3a.
Substitute:
[tex]f(3a) = 2(3a)^2-3(3a)+4[/tex]
Square:
[tex]f(3a) = 2(9a^2)-3(3a)+4[/tex]
Simplify:
[tex]f(3a) = 18a^2-9a+4[/tex]
Hence, our answer is C.
Write your answer as a polynomial or a rational fraction in simplest form
Answer:
- 4x^2-15x
Step-by-step explanation:
(f-g)(x) = f(x) - g(x) = - 3x^2-8x-x^2-7x = - 4x^2-15x
SOMEONE HELP ME PLS
Answer:
as both triangles are congruent......
AB = PQ
BC = QR
CA = RP
So AB = PA so... 2x + 1 = x + 7
so x = 7 - 1 = 6
now BC = QR so.... 4y + 3 = 2y + 11
so 2y= 8 and y= 4
brainliest plssssss
Anyone Know The Answer???
Answer:
I think it is 2, downwards
Answer:
vertical shift of 2 units up
Step-by-step explanation:
Given f(x) then f(x) + c is a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
f(x) = 9 | x + 1 | + 2
Represents a vertical shift of 2 units up of the parent function
Juanita is making 30 sundaes with mint, chocolate, and vanilla ice cream. 1\3 of the sundaes are mint ice cream and 1\2 of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?
Answer:
10
Step-by-step explanation:
→ Calculate how many are mint ice cream's
[tex]\frac{1}{3}[/tex] × [tex]30[/tex] = 10
→ Calculate how many are chocolate
30 - 10 = 20
[tex]\frac{1}{2}[/tex] × 20 = 10
→ Now find the vanilla
30 - ( 10 + 10 ) = 10
if a 27% is a sale profit , how much profit is in the sale of $4650?
pls explain if u can. thanks!!
Simplify
Help me please
Answer:
[tex]\frac{-27b^{6}}{c^{18}}[/tex]
Step-by-step explanation:
first distribute the ^3, -3^3=-27, for the variables, (x^y)^3=x^(3y) so (b^2)^3=b^6 and (c^-6)^3=c^-18. now we have [tex]-27b^{6}c^{-18}[/tex]. Next we have to get rid of the negative in c^-18. x^-y=1/x^y so c^-18=[tex]\frac{1}{c^{18}}[/tex], plug it in and you get [tex]\frac{-27b^{6}}{c^{18}}[/tex]
what is
f(x)= (x-12)(x+1)
in standard form?
Answer:
x^2-11x-12
Step-by-step explanation:
I use the box method, which makes a 2x2 box. Then you arrange you numbers based on the equation (show in image)
Then you multiply it out and get the equation
F(x)= x^2+x-12x-12
Simplify your equation and you get
F(x)= x^2-11x-12
1. 108 identical books have a mass of 30 kg. Find
(i) the mass of 150 such books
(ii) the number of such books that have a mass of 20 kg
Answer:
i) around 41.7 kg
ii) 72 books
Step-by-step explanation:
i) if 108 books are 30 kg then how much is the mass for 150? You cross multiply so 150 multiply by 30 and 108 multiply by x (the unknown mass). you will get 4500=108x and then 4500/108 is the unknown mass.
ii) use the same way as above.
simplify: 3(x-2)+2(2x+5)=35
Answer:
x=31/7
Step-by-step explanation:
3x-6+4x+10=35
7x=31
x=31/7 (The task was to find the x, not simplify)
Answer:
[tex]x=\frac{31}{7}[/tex]
Step-by-step explanation:
One is given the following equation,
[tex]3(x-2)+2(2x+5)=35[/tex]
Distribute, multiply every term inside the parenthesis by the term outside of it.
[tex]3(x-2)+2(2x+5)=35[/tex]
[tex](3)(x)-(3)(2)+(2)(2x)+(2)(5)=35[/tex]
Simplify,
[tex](3)(x)-(3)(2)+(2)(2x)+(2)(5)=35[/tex]
[tex]3x-6+4x+10=35[/tex]
[tex]7x+4=35[/tex]
Inverse operations,
[tex]7x+4=35[/tex]
[tex]7x=31[/tex]
[tex]x=\frac{31}{7}[/tex]
Find the length of side xx in simplest radical form with a rational denominator.
Answer:
x = 3sqrt(2)/2
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
The two legs are equal, x
x^2 + x^2 = 3^2
2x^2 = 9
Divide each side by 2
x^2 = 9/2
Take the square root of each side
sqrt(x^2) = sqrt(9/2)
x = sqrt(9)/ sqrt(2)
x = 3 / sqrt(2)
x = 3 sqrt(2) / sqrt(2)*sqrt(2)
x = 3sqrt(2)/2
Answer:
Step-by-step explanation:
The Pythagorean triple for a 45-45-90 triangle, which this is BTW is, in terms of the pattern: (x, x, x√2) where each x is the length of a side across from a 45 degree angle and x√2 is the side length across from the 90 degree angle (this side is also known as the hypotenuse). If the hypotenuse is 3 units long, and the pattern for the hypotenuse is x√2, we can solve for x, the sides across from the 45 degree angles, by setting 3 equal to its pattern for the hypotenuse:
[tex]3=x\sqrt{2}[/tex] so
[tex]x=\frac{3}{\sqrt{2} }= \frac{3\sqrt{2} }{2}[/tex]
Look at the expressions below.
2√8 x √20
Which of these is equivalent to this expression?
A. 2√28
B. 5
C. 8√10
D. 32√10
Answer:
8 sqrt(10)
Step-by-step explanation:
2 sqrt(8) * sqrt(20)
We know sqrt(a) * sqrt(b) = sqrt(ab)
2 sqrt(8) * sqrt(20)
2 sqrt(160)
2 sqrt(16*10)
2 sqrt(16) sqrt(10)
2 *4 sqrt(10)
8 sqrt(10)
Answer:
First, we can write 2√8 as 2 x √8. This will make the next calculations easier.
So the problem becomes 2 x √8 x √20.
We can group together √8 and √20, to get √160.
And we have: 2√160.
However, this can be simplified further, as 16x10 = 160, and so we obtain the final answer of 8√10.
C is correct.
You have $475 in your savings account that earns 3.25% simple interest each year. How much interest will you accumulate after 7 years?
Answer:
$613.45
Step-by-step explanation:
Multiply $475 by 3.25% of it and so on 7 times, which adds up to 613.4993293. Round that to 613.45
The area CA) of a Paroullelogram is found by using this formula A =BH What is the area when to b is 7cm and h is 3cm?
Answer:
21cm2
Step-by-step explanation:
Area (A = BH)
B = 7cm
H = 3cm
Therefore we multiply Base(B) with height (H) to get the area.
Hence;
Area = (7 × 3) cm2
= 21cm2
SOMEONE HELP ME PLEASE
Translate the phrase into an algebraic expression. The product of 3 and w
