Answer (this one's written in slope-intercept form):
[tex]y= \frac{3}{5}x -3[/tex]
Step-by-step explanation:
1) Lines that are parallel to each other have the same slope. The line [tex]y=\frac{3}{5} x-8[/tex] is in slope intercept form, or [tex]y = mx + b[/tex] form, and the number in place of [tex]m[/tex] represents the slope. Knowing this, it looks like [tex]\frac{3}{5}[/tex] is in the place of the [tex]m[/tex] in that equation, so [tex]\frac{3}{5}[/tex] is the slope - and the slope we need to use for the answer, too.
2) Once you know a point that the line must pass through and a slope, you can write an equation with point-slope form, or [tex]y-y_1 = m (x - x_1)[/tex]. [tex]m[/tex] is the slope and [tex]x_1[/tex] and [tex]y_1[/tex] are the x and y values of the point it must pass through. So, substitute [tex]\frac{3}{5}[/tex] for [tex]m[/tex], 0 for [tex]x_1[/tex], and -3 for [tex]y_1[/tex]. Simplify and isolate y to put it in slope-intercept form:
[tex]y-(-3) = \frac{3}{5} (x - 0) \\y + 3 = \frac{3}{5} x - 0 \\y = \frac{3}{5} x - 3[/tex]
3) Thus, [tex]y = \frac{3}{5} x - 3\\[/tex] is the answer. It's written in slope-intercept form.
Please help!!!
Composition of functions~
Answer:
[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)=-2[/tex]
Hence, option B) is true.
Step-by-step explanation:
Given
g(t) = t² - 2
h(t) = t + 4
To determine
[tex]\left(g\:\circ \:\:h\right)\left(-4\right)=?[/tex]
Using the formula
[tex]\left(g\:\circ \:\:h\right)\left(-4\right)\:=g\left(h\left(-4\right)\right)[/tex]
In order to determine g(h(-4)), first we need to determine h(-4), so
substituting t = -4 in h(t) = t + 4
h(t) = t + 4
h(-4) = -4 + 4
h(-4) = 0
so we can write
[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)\:=g\left(h\left(-4\right)\right)=g\left(0\right)[/tex]
now, to determine g(0), substitute t = 0 in g(t) = t² - 2v
g(t) = t² - 2
g(0) = (0)² - 2
g(0) = 0 - 2
g(0) = -2
so, finally we get
[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)\:=g\left(h\left(-4\right)\right)=g\left(0\right)=-2[/tex]
Therefore,
[tex]\left(g\:\circ \:\:\:h\right)\left(-4\right)=-2[/tex]
Hence, option B) is true.
if the tire pressure gauge is showing the reading 8% higher, the what is the actual pressure if the reading is 39.42?
Answer:
The actual pressure is 36.50
Step-by-step explanation:
Given that:
Tire pressure reading = 8% higher
Reading = 39.42
As 100% will be the actual reading.
New reading = (100+8)% = 108%
Let,
x be the actual pressure of the tire
108% of x = 39.42
[tex]\frac{108}{100}x=39.42\\1.08x = 39.42[/tex]
Dividing both sides by 1.08
[tex]\frac{1.08x}{1.08}=\frac{39.42}{1.08}\\x=36.50[/tex]
Hence,
The actual pressure is 36.50
A pile of sand had a weight of 60kg.
The sand is out into a small bag, a medium bag and a large bag in the ratio 2:3:7
Work out the weight of sand in each bag
Answer:
Answer is 10:15:35
Step-by-step explanation:
Let the ratio be 2x,3x,7x
then according to question;
2x+3x+7x=60
12x=60
x=5
now put value of x in the ratios
2x=2x5
=10
3x=3x5
=15
7x=7x5
=35
thus,weight of three bags are 10:15:35
I hope it's helpful!
i don’t understand these type of questions
Answer:
5=135
7=45
Step-by-step explanation:
Set them equal to 180. So i started plugging in numbers and subtracting them by 90. Then add it back to the number until i got 180.
A 3m wide path runs outside and around a rectangular park of length 125m and breadth 65m.find the area of the path(whoever explains to me how to do it gets brainliest answer)
An 6 inch tall can of soda can hold 150π cubic cm. What is the radius of the top?
9514 1404 393
Answer:
3.14 cm ≈ 1.235 in
Step-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr²h
Solving for r, we find ...
r = √(V/(πh))
For the given values, the radius is ...
[tex]r=\sqrt{\dfrac{150\pi\text{ cm$^3$}}{\pi(6\text{ in})(2.54\text{ cm/in})}}=\sqrt{\dfrac{25}{2.54}}\text{ cm}\approx\boxed{3.14\text{ cm}}[/tex]
Need help on this please
Answer:
the fourth option: cannot be determined
Step-by-step explanation:
So the first option is the same as 21 times 9 which is more than 9, so it is incorrect.
The second option is the same as 2.3 times 21 and again its incorrect.
the third option
the fourth option has the same outcome because the fractions are equal.
therefore it cannot be determined
Please look at the picture i need help please
Answer:
176.7 in²
Step-by-step explanation:
The formula for the area of a circle is πr².
But first, you have to find the radius. The radius is half of the diameter, which is the length from one edge of the circle to the other.
Here the diameter is 15 in. Divide the diameter by 2 to get the radius.
r = 15 ÷ 2 = 7.5 in
Now plug the radius into the formula and solve for the area.
A = πr²
A = π(7.5)²
A = π(56.25)
A = 176.7145868 ⇒ 176.7 in²
Hope that helps.
Please hurry!
What is the rate of change of the function shown on the graph? Round to the nearest tenth.
A.) 2.00
B.) 2.50
C.) 5.25
D.) 10.50
Answer:
B
Step-by-step explanation:
There are between 24 and 40 student in a class. The ratio of boy to girl is 4:7 how many student are in the class
The initial amount of bacteria in a culture is 12,000. The culture grows at a rate of 45% each day. Write an exponential function to model the population of y bacteria after x days. How many bacteria are there after 6 days?
Answer:
FV= 111,529.37 = 111,529
Step-by-step explanation:
Giving the following information:
Initial amount (PV)= 12,000
Growth rate (g)= 45% = 0.45
First, we will establish the future value formula:
FV= PV*(1+g)^n
FV= future value
n= number of days
FV= 12,000*(1.45^n)
For 6 days:
FV= 12,000*(1.45^6)
FV= 111,529.37
Which equation can be used to represent "three minus the difference of a number and one equals one-half of the difference of three times the same number and four”?
(1 – n) – 3 = 6 plus 2 left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis 3 minus x right-parenthesis.(4 – 3n)
3 – (1 – n) = 6 plus 2 left-parenthesis x plus 4 right parenthesis equals StartFraction one-half EndFraction left-parenthesis x minus 3 right-parenthesis.(4 – 3n)
(n
P L E A S E H E L P M E W I LL SC A M Y O U I F U T A K E M Y P O I N T S
Answer:
its c and no im not scaming L o l
Step-by-step explanation:
Helpp!!!!!!!Plz.....
Answer:
MJK=90
MJL=63
JLK=63
KML=27
MNL=126
Step-by-step explanation:
If this is a perfect rectangle, then I should be correct:
Each angle of a rectangle is 90 degrees, so MJK is 90
Since we know angle KJL is 27, and MJK is 90, just subtract them to get 63.
Angle JLK should be equal to angle MJL so it is also 63
Angle KML should be equal to angle KJL so it would also be 27
And finally, angle JKN should be 27 so 27+27=54. And since all angles of a triangle add up to 180, you can get angle MNL by subtracting 180-54 to get 126 because angle MNL and JNK/KNJ are equal to each other
Approximate the solution of the system to the nearest thousandth.
Answer:
(-0.67412648,-047682599)
Step-by-step explanation:
PLEASE HELP!! GIVING PLENTY OF POINTS AND WILL REPORT THANKS!!!
The question is 1 b
Pia printed 2 maps of a walking trail. The length of the trail on the first map is 8 cm. The length of the trail on the second map is 6 cm.
A landmark on the first map is a triangle with length on the side of 3 mm, 4 mm, and 5 mm. What is the scale factor from the first map to the second map? What are the side lengths of the landmark on the second map? Show your work.
Will mark brainlyest if correct.
Answer: The scale factor from the first map to the second map is 4:3 (four to three) The side lengths of the landmark on the second map is 9/4 mm, 3 mm, 15/4mm.
Step-by-step explanation:
The scale factor is 8:6 which can be simplified to 4:3.
The side lengths of the landmark on the second map follows the same scale 4:3, so going in order:
4:3 = 3:x
4x = 9
x = 9/4
4:3 = 4:y
y = 3
4:3 = 5: z
4z = 15
z = 15/4
Please Help! Freshman in high-school Algerbra 1
Answer:
yes
Step-by-step explanation:
0-10 is obvious because when you look at the chart you can clearly see that theres alot kidsof
simplify. Rewrite the expression in the form 9^n. 9^7/9^5
Answer:
9²
Step-by-step explanation:
9⁷ / 9⁵
9⁽⁷⁻⁵⁾
9²
please help will mark brainliest
Answer:
[tex] \sqrt{13} [/tex]
in decimal form is 3.60555127
1: how to convert fractions into presentage?
2: what is 7/25 as a presentage
3: what is 27/100 as presentage
Answer:
1: divide the two numbers and then multiply by 100
2: 28%
3. 27%
Step-by-step explanation:
2. 7/25= .28 -> .28x100= 28
3. 27/100= .27 -> .27x100= 27
ITS RATIOS
BTW DON'T MIND I ANSWERED IT I CLICKED ONE BY ACCIDENT
Answer: 9:4
Step-by-step explanation:
I think
x²-x-42
x2 - 49
x² + 66
x2 + 3x - 28
(Simplify the numerator. The denominator may be written in simplest form or completely factored form.)
Answer:
The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly. ( x − 7 ) ( x + 6 ) ( x + 7 ) ( x 2+ 66 ) ( x − 4 )
Step-by-step explanation:
The diameter of the circles is 2
Cm what is the area of the shaded section
6/7 + 6/14
it says your answer should be a whole number, fraction, or mixed number
Answer:
Step-by-step explanation:
9/7
Hope it helped you.
Please mark me brainliest.
what is 12/6 simplified
Answer:
2
Step-by-step explanation:
Answer:
2/1......................
In a certain chemical, the ratio of zinc to copper is 4 to 11 . A jar of the chemical contains 308 grams of copper. How many grams of zinc does it contain?
Answer: 82.3 g
Step-by-step explanation:Moles Cu = 300 g x 1 mol Cu/63.55 g = 4.72 moles Cu
Moles Zn = 4/15(4.72) = 1.26 moles
mass Zn = 1.26 moles x 65.38 g/mol =
Which of the following is the converse of the statement below?
"If two segments have the same measure, then the segments are congruent."
o Two segments are congruent if and only if they have the same measure.
o If two segments do not have the same measure, then they are not congruent.
o If two segments are not congruent, then they do not have the same measure.
o If two segments are congruent, then they have the same measure.
1
2.
3
4
5
Answer:
Two segments are congruent if and only if they have the same measure.
Step-by-step explanation:
Because they have the same measurement which means that they are congruent if they have the same measure.
When does the expression below equal
10?
n + 3
A when n=4
B when n = 10
C when n = 13
D when n = 7
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
When n = 7
[tex]n + 3[/tex][tex]7 + 3[/tex][tex]10[/tex]hence, the given expression is equal to 10, when n = 7
Someone please help me with thisss
Answer:
The equation of the line that passes through points is m = 6/4
Step-by-step explanation: sorry if this is wrong
Which of the following is equivalent to x4 - y4? Select all that apply.
(-y)(x + y)3
(x2 - y2)2
(x - y)2(x + y)2
O 62 - y2)(x2 + y2)
o 6-y)6+y)(x2+x2)
Answer: (x^2-y^2) (x^2+y^2) and (x-y)(x+y)(x^2+y^2)
Step-by-step explanation:
(x2 − y2) (x2 + y2)Expand (x2 − y2) (x2 + y2) using the FOIL Method.
Apply the distributive property.
x^2 (x^2 + y^2 ) − y^2 (x^2 + y )
Apply the distributive property.
x^2 x^2 +x^2 y^2 - y^2 (x^2 y^2 )
Apply the distributive property.
x^2 x^2 + x^2 y^2 - y^2 x^2- y^2 y^2
Combine the opposite terms in x^2 x^2 + x^2 y^2 - y^2 x^2 - y^2 y^2.
Reorder the factors in the terms x^2 y^2 and − x^2 y^2.
x^2 x^2+ x^2 y^2 - x^2 y^2 - y^2 y^2
Subtract 2 2 from 2 2.
x^2 x^2+ 0 - y^2 y^2
Add 2 2 and 0.
x2 x2- y2 y2
Simplify each term.
Multiply x2 by x2 by adding the exponents.
x^4 − y^2y^2
x^4 − y^4
(x-y)(x+y)(x^2+y^2)(x − y) (x + y) (x^2 + y^2)
Expand (x − y) (x + y) using the FOIL Method.
(x ⋅ x + xy − yx − y ⋅ y) (x^2 + y^2)
Combine the opposite terms in x ⋅ x + xy − yx − y ⋅ y.
(x ⋅ x − y ⋅ y) (x^2 + y^2)
(x^2 − y^2) (x^2 + y^2)
Expand (x^2 − y^2) (x^2 + y^2) using the FOIL Method.
Apply the distributive property.
x^2 (x^2 + y^2) − y^2 (x^2 + y^2)
Apply the distributive property.
x^2 x^2 + x^2y^2 - y^2 (x^2 + y^2)
Apply the distributive property.
x^2 x^2 + x^2 y^2 - y^2 x^2 - y^2 y ^2
Combine the opposite terms in x^2x^2 + x^2y^2 − y^2x^2 − y^2y^2.
x^2x^2 − y^2y^2
x^4 − y^4
please give me brainliest :)