Answer:
[tex]y = \frac{1}{8} x - 3[/tex]
Step-by-step explanation:
Formula for straight lines:
[tex]y = mx + b[/tex]
where m = slope, b = constant
Given:
y-intercept = -3 (0, -3)
m = ⅛
Substitute into formula to find b.
[tex] - 3 = \frac{1}{8} (0) + b \\ - 3 = 0 + b \\ b = - 3[/tex]
Substitute b into original formula
[tex]y = mx + b \\ y = \frac{1}{8} x + ( - 3) \\ y = \frac{1}{8} x - 3[/tex]
Triangle P is rotated 180° about (0, 0) to give triangle Q. Triangle Q is translated by 5 2 to give triangle R. (a) Describe fully the single transformation that maps triangle P onto triangle R.
Answer:
(x, y) ⇒ (-x +5, -y +2)
Step-by-step explanation:
Rotation 180° is described by ...
(x, y) ⇒ (-x, -y)
Translation right 5 and up 2 is described by ...
(x, y) ⇒ (x +5, y +2)
The two transformations together that map P to R are described by ...
(x, y) ⇒ (-x +5, -y +2)
An account earns 8.4% interest compounded monthly. If 12,000 is invested in the account initially, how much
interest is earned in this account over a 25 year period?
Answer:
$30,2400
Step-by-step explanation:
First, we need to find how much interest he earns in a month
8.4% of $12,000 = $1,008
Next, we multiply the amount of interest per month by the number of months in 25 years
25 years = 300 months
Now we can multiply the two values to get our final answer
1,008 x 300 = $30,2400
How I can answer this question, NO LINKS, if you answer correctly I will give u brainliest!
Answer:
It is the first one.
Dose any one know the answers for geometry A: A semester exam
PLZ I NEED HELP FAST!!
Answer:
Step-by-step explanation:
82 +9=5000 thank me later
simplify: 2x^2+15x-30
A= 2x^2
B= 15x
C= -30
(x-5)(x-6)
I dunno, its my question, just answering it for fun
x = 16 - 4y
3x + 4y =8
substitution method
Answer:
i think x = -4, y = 5
Step-by-step explanation:
x = 16 - 4y
3x + 4y = 8
3(16 - 4y)+4y = 8
48-12y+4y = 8
48-8y = 8
48-8 = 8y
40 = 8y
5 = y
so
x = 16 - 4y
x = 16 - 4(5)
x = 16 - 20
x = -4
How do I find x please I need help asap
Answer:
x=5
Step-by-step explanation:
Let's say the left side has points A, B, and C, with B in the middle, and the right side has points A, E, and D, with E in the middle
The Triangle Proportionality Theorem Converse states that if a line splits two sides of a triangle proportionally, the line is parallel to the remaining line.
Here, we can see that the sides are split into congruent lengths to each other, making their proportions 1:1. This proves the theorem converse, so 5x is parallel to 8x+10. Because the other two sides are connected to each other, with AB being a part of AC and AE being a part of AD, AB is parallel to AC and AE is parallel to AD. Given this, we can say that triangle ABE is similar to triangle ACD.
In a similar triangle, the lines corresponding to each other have the same ratio as other lines. This means that
AB/AC = AE/ED = BE/CD.
We are trying to find BE and CD to solve for x, and we can do this by finding the ratio between them
AC = AB + BC
BC = AB
AC = 2 * AB
AB / (2*AB) = BE / CD
1/2 = 5x/(8x+10)
multiply both sides by 2 to remove a denominator
1 = 10x / (8x+10)
multiply both sides by 8x+10 to remove the other denominator
8x+10 = 10x
subtract 8x from both sides to put the variable and its coefficients on one side
2x = 10
divide both sides by 2 to solve for x
x = 5
what id the limit of this function? f(x)=2x4+5x3−2x+12
Your math problem
(==)=24=+53−2+12
f(x)=2x^{4}+5x^{3}-2x+12
Find solutions on the
A website is selling couches for $864. The site got the couches at a cost of $320. What percentage is the mark-up?
find the distance, midpoint, and slope of line AB. A(-2,-1) and B(6,3)
Answer:
[tex]Slope (m) = \frac{y}{x}=\frac{1}{2} = 0.5[/tex]
[tex]Distance (d) = \sqrt{x^2+y^2} =\sqrt{80} =8.9442719099992[/tex]
[tex]Mindpoint =\left(2,\:1\right)[/tex]
Step-by-step explanation:
[tex]Slope (m) = \frac{y}{x}=\frac{1}{2} = 0.5[/tex]
[tex]0 = arctan(\frac{y}{x} = 26.565051177078^o[/tex]
[tex]Distance (d) = \sqrt{x^2+y^2} =\sqrt{80} =8.9442719099992[/tex]
X = 6 – -2 = 8
Y = 3 – -1 = 4
Equation of the line:
y = 0.5x
When x=0, y = 0
When y=0, x = -0
Midpoint:
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-2,\:-1\right),\:\left(x_2,\:y_2\right)=\left(6,\:3\right)[/tex]
[tex]=\left(\frac{6-2}{2},\:\frac{3-1}{2}\right)[/tex]
[tex]=\left(2,\:1\right)[/tex]
What is the difference (2 x - 3) - (x - 1)?
x minus 4
x minus 2
x + 2
x + 4
Answer:
Step-by-step explanation:
It may help you to rewrite this problem in columns:
2x - 3
-( x - 1)
------------
x - 2 (answer) ("x minus 2")
Find the value of 3x+ 4 when x = 2
Answer:
3x+4, x=2
3(2)+4
6+4=10
Hello there! :-)
To find the value of 3x+4 when x=2, all we have to do is substitute the value of 2 into the expression:
3x+4
3(2)+4
6+4
10
Therefore, the answer is 10.
Hope this helps. Use the comment section to clarify your doubts.
Answered by
~A felicitous teen who helps others with a smile on her face
Good luck with your studies. :)
Pls help. I need it asap
Answer:
18
Step-by-step explanation:
since the equation of AC is y=x-4 then the length of CB and AB must be the same. therefor its (6*6)/2
Pls help me with this question
Step-by-step explanation:
A
the answers are already right in picture. we only need to count.
maybe the problem is understanding a cube ? when it says here "the edge of each cube is 1 1/2 in long", then it means that every side length of a cube is the same (length, width, height). it is the principle of a 2-dimensional square in 3 dimensions.
and "prism" is simply another word for "box".
so, we see that there are 5 cubes fitting along the length of the prism.
so, the length of the prism is
5× 1 1/2 in = 5× 3/2 = 15/2 = 7 1/2 in.
3 cubes are the width of the prism.
so, the width of the prism is
3× 1 1/2 in = 3× 3/2 = 9/2 = 4 1/2 in.
B
we know the height of the prism is 3/4 ft.
1 ft = 12 in
3/4 ft = 3/4 × 12 = (3×12)/4 = 36/4 = 9 in
how many layers of cubes fit into 9 in ?
well, that is what we use division for :
9 ÷ 1 1/2
this is the same as
9 / 3/2 = (9/1) / (3/2)
to divide by a fraction is the same as to multiply with the upside-down fraction. therefore :
(9/1) × (2/3) = (9×2) / (1×3) = 18/3 = 6
so, 6 layers of the cubes fit into the prism.
Hazel bought 3/5 of a kilogram of clay for the students in her pottery class. She then divided the clay evenly into pieces that were 1/5 of a kilogram. Into how many pieces did Hazel divide the clay? Write your answer as a fraction or as a whole or mixed number.
Answer:
3
Step-by-step explanation:
3/5 kg of clay are divided into 1/5 a kilogram, so how many times is 1/5 in 3/5?
equation is
[tex]=\frac{3}{5} /\frac{1}{5}\\\\=\frac{3}{5}*\frac{5}{1} \\\\=\frac{15}{5} \\=3[/tex]
how do you think I'm NOW
Answer:
u are u and u and u and u and u
Write an equation for a line if m
3 and it passes through the point (1, -5).
What is the equation of the oblique asymptote?
h(x) = x² – 3x - 4/x + 2
Simplifying h(x) gives
h(x) = (x² - 3x - 4) / (x + 2)
h(x) = ((x² + 4x + 4) - 4x - 4 - 3x - 4) / (x + 2)
h(x) = ((x + 2)² - 7x - 8) / (x + 2)
h(x) = ((x + 2)² - 7 (x + 2) - 14 - 8) / (x + 2)
h(x) = ((x + 2)² - 7 (x + 2) - 22) / (x + 2)
h(x) = (x + 2) - 7 - 22/(x + 2)
h(x) = x - 5 - 22/(x + 2)
An oblique asymptote of h(x) is a linear function p(x) = ax + b such that
[tex]\displaystyle \lim_{x\to\pm\infty} h(x) - p(x) = 0[/tex]
In the simplified form of h(x), taking the limit as x gets arbitrarily large, we obviously have -22/(x + 2) converging to 0, while x - 5 approaches either +∞ or -∞. If we let p(x) = x - 5, however, we do have h(x) - p(x) approaching 0. So the oblique asymptote is the line y = x - 5.
A turtle swims 15 kilometers in 9 hours. How far does the turtle swim in 24 hours?
Answer:
about 40 kilometers
Step-by-step explanation:
PLEASE HELP QUESTION IN PIC.
Answer:
Perimeter= 40
Area= 120.7
Step-by-step explanation:
for each fraction below find an equivalent fraction with a denominator 200.
fraction 14/25
Answer:
112/200
Step-by-step explanation:
To find an equivalent fraction with a new denominator you can simply multiply by 1. However, you must multiply by different forms of 1. Remember that any number divided by itself is equal to 1. Additionally, because of the identity property of multiplication, any number multiplied by 1 is still equivalent.
In this case, you should multiply by a fraction that will make 25=200. To get 200 from 25 you must multiply by 8. So, multiply the whole fraction by 8/8. This gives you (14/25)*(8/8)=112/200.
Find the unknown side (w) of the rectangular solid. Please help..
Answer:
Step-by-step explanation:
MAy yoy make it bigger
The weight of an object on moon is 1/6 of its weight on Earth. If weight of an object on Earth is 18/5 kg, what would be its weight on moon? Please help me!!!!
Answer:
3/5 kgStep-by-step explanation:
The weight of an object on Moon is 6 times smaller than same on Earth.
If it weights 18/5 kg on Earth then its weight on Moon is:
18/5 * 1/6 = 3/5 kgAnswer:
Solution given:
weight of moon=1/6 th of Earth
If weight of Earth is 18/5 kg
weight of moon=?
we have
weight of moon: 1/6 of weight of Earth
=1/6*18/5
=3/5kg
Its weight on moon is 3/5 kg
100 points !!!!!1 Drag the answers to match the inequality and the situation it represents. c<10 c>10 c<20 c>20
Hi!
c < 10
This means that c is less than 10. Any number smaller than 10 works, such as 7, -4, 5.6.
c > 10
This means that c is greater than 10. Any number greater than 10 works, such as 12, 58, 10.9.
c < 20
This means that c is less than 20. Any number smaller than 20 works, such as 6, -2, 19.7.
c > 20
This means that c is greater than 20. Any number greater than 20 works, such as 21, 74, 20.5.
Hope this helps! Have a great day :D
Answer:
here are the answers
Step-by-step explanation:
help please anybody hmm
Answer:
Step-by-step explanation:
The answer would be 6 because you would count the distance like it says!
Plzzz help me it’s due tonight!!!!!
Answer:
UV=5, VW=5[tex]\sqrt{3}[/tex], and m∠U=60
Step-by-step explanation:
sin 30=UV/10=>0.5=UV/10=>UV=5
VW=√(10²-5²)=√75=5√3
m∠U=180-90-30=60
What is the area of the parallelogram?
Answer:
24cm
Step-by-step explanation:
because 6 x 4 = 24 centimeters
What value makes f(x)=11 if f(x)=5(4x-3)-2(x-6)
please answer asap
what is this answer?
Answer:
The answer is 16.
Sorry if it's incorrect.
Step-by-step explanation:
need help with this asap………
Answer:
y= 32
Step-by-step explanation:
HOPE THIS HELPS :)