Hi there!
We are given a point that the line passes through and the slope of the line, so we can use Point-Slope Form:
[tex]\mathrm{y-y1=m(x-x1)}[/tex]
In this case, y₁=7, m=9, and x₁=2.
Plug in the values:
[tex]\mathrm{y-7=9(x-2)}[/tex]
Now, turn it into Slope-Intercept:
[tex]\rm{y-7=9x-18[/tex]
Move -7 to the right:
[tex]\rm{y=9x-18+7}[/tex]
Add:
[tex]\rm{y=9x-11[/tex] (Answer)
Hope it helps!
Enjoy your day/night!
Please feel free to ask if you have any doubts.
-Sparkles-
im on the seacond part 2 more to go lol
Answer:
p = 4
Step-by-step explanation:
3p + 8 = 20
3p = 20 - 8
3p = 12
p = 12/3
p = 4
Answer:
see below
Step-by-step explanation:
2p + 8 = 20 - p
add p to both sides
2p + p + 8 = 20 - p + p
combine like terms
3p + 8 = 20
subtract 8 from both sides
3p + 8 - 8 = 20 - 8
combine like terms
3p = 12
divide both sides by 3
3p / 3 = p
12/3 = 4
we're left with p = 4
Graph: f(x)= (x+1)(x – 5)
Answer:
f(x)=(x+1)(x-5)
=x+1=x-5
=1+5=x-x
=6
A vector v has initial point (-3,-2) and terminal point (-6,1). Write v in component form
Answer:
Step-by-step explanation:
Caleb started with 50 bacteria for his science experiment and they doubled in one day. Jenna also started with 50 bacteria for her experiment and after one day, her number of bacteria was equal to 50 to the second power. Choose the statement that is true for the number of bacteria after one day.
A nature center charges $35.25
for a yearly membership and $6.25 for a single
admission. Last
veek it sold a combined total of 50 yearly memberships and single
admissions for $660.50. How many memberships and how many single admissions
were sold?
Answer: 12 yearly admissions and 38 single admissions
Step-by-step explanation:
Let x be yearly membership
Let y be single admission
x+y=50 --> # of tickets sold
35.25x+6.25y=660.50 --> $ of tickets
Use elimination method to solve (multiply equation 1 by -3525 and equation 2 by 100)
-3525x-3525y=-176250
+ 3525+625y=66050
-----------------------------------
-2900y=-110200
y=38
Substitute y=38 into equation 1
x+38=50
x=12
Therefore, 12 yearly admissions and 38 single admissions were sold
Write a formula for the perimeter (p) of a square whose sides are s units long
Answer:
Perimeter = 4s
Step-by-step explanation:
The perimeter of a square = 4*length
Given that length = s
Perimeter = 4s
-Chetan K
b) For V = Pi r squared , find V when r = 12.5 and h = 8
World War I, often abbreviated as WWI or WW1, also known as the First World War or the Great War, was an international conflict that began on 28 July 1914 and ended on 11 November 1918
In a right isosceles triangle, the lengths of both legs are equal. For the given isosceles triangle, what is the value of x?
well, we know the triangle besides being an isosceles, is also a right-triangle, so let's use the pythagorean theorem.
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{\sqrt{72}}\\ a=\stackrel{adjacent}{x}\\ b=\stackrel{opposite}{x}\\ \end{cases}\implies (\sqrt{72})^2=x^2+x^2 \\\\\\ 72=2x^2\implies \cfrac{72}{2}=x^2\implies 36=x^2\implies \sqrt{36}=x\implies 6=x[/tex]
Answer:
x = 6
Step-by-step explanation:
sine law
a/ sin a = x / sin x
(72)^1/2 / sin 45º = x / sin 90
6 = x/1
multiply each side by 1
6 = x
Select all that are equal to 64(6-5)
Answer:
the middle 3
Step-by-step explanation:
6^(4-5)
6^(-1)
so three are equal to this
1/6
6^-1
and
1/6^1
HELP pleaseeeee NOWWWW
Juan's bag of apples weighed 31/7 pounds. Ari's bag of oranges weighed 19/3 pounds . Using compatible fractions estimate how muchh heavier Ari's bag is compared to Juan's bag?
Rewrite the fractions to have a common denominator:
Juan: 31/7 x 3 = 93/21
Ari: 19/3 x 7 = 133/21
now you can subtract:
133/21 - 93/21 = 40/21 pounds = 1 and 19/21 pounds heavier
What does this symbol mean in mathematics?
Answer:
Looks like (pi)= 22/7
Step-by-step explanation:
Answer:
I believe it is pi, as in 3.14 pi. (The handwriting is so confusing)
Step-by-step explanation:
Pi typically looks like a cursive "r" or a bench of some sort, so I believe this is the pi symbol. Hope that helps :)
100 POINTS AND WILL GIVE BRAINLIEST What is the slope of the line whose equation is y = 8x - 6?
Answer:
the answers u need are in the pics can i get brainlist :(
Who ever gets it I will give Brainly and 20 points
Answer:
total number of marbles = 10
number of red marbles = 4
p(blue) = 3/10
number of blue marbles = 3
p(red) = 2/5
Use the graph to find the
a y-intercept
b. the slope of the line
С.
write the equation of this line
ABCD is a Trapezium, Work out the size of angle CDA to one decimal place
Answer:
CDA≈27,6°
Step-by-step explanation:
First we solve the x using pythagorean theorem
a^2+b^2=c^2
x^2+6^2=6.5^2
x^2+36=42.25 ||-36
x^2=42.25-36
x^2=6.25 ||√
√x^2=√6.25
x=2.5cm
now we can solve y
y = 23cm-9cm-2.5cm
y=11.5cm
now we can solve CDA angle with tanα
tanα=[tex]\frac{a}{b} \\[/tex]
tanα=6cm/11.5cm
α≈27,6°
there are 10 boy and 10 girl in a group, 2 boys are to selected and 2 girl are to selected for the play, how many ways can they selected.
Answer:
400 ways
Step-by-step explanation:
Times 10 x 10 x 2 x 2 to get your answer
Which quadratic function contains the points (1, −6 ), (−2, 15) , (3, 30)?
a) f(x) = 2x^2 − 9x + 5
b) f(x) = 5x^2 − 9x − 2
c) f(x) = 9x^2 − 2x − 5
d) f(x) = 5x^2 − 2x − 9
Answer:
d) f(x) = 5x^2 − 2x − 9Step-by-step explanation:
Verify by graphing.
All three given points (1, −6 ), (−2, 15) , (3, 30) appear on the last function's graph.
f(x) = 5x^2 − 2x − 9harmaine spent a total of $20 at the grocery store. Of this amount, $9 she spent on fruit. What percentage of the total did she spend on fruit?
Answer:
45%
Step-by-step explanation:
First, let's set up a fraction of how much money she spent for fruit out of the total amount of money she spent.
[tex]\frac{9}{20}[/tex]
For a percentage, we need a fraction out of 100. To do this, we can multiply the fraction by 5/5 (5*20=100). Notice we can only do this since 5/5 is equivalent to 1, so you are technically multiplying the fraction by 1.
[tex]\frac{9}{20}*\frac{5}{5}=\frac{45}{100}[/tex]
A percentage is just the numerator of a number over 100 therefore it is equal to...
45%
Line segments A prime B prime and A B. The distance from the center of dilation P to A prime is 3. The distance from P to A is 5.
1/2
3/5
1 2/3
2
HURRY I HAVE !0 MINS LEFT
A 6 foot ladder is placed against a wall with its base 2 feet from the wall. How high up the wall is the top of the ladder?
Answer:
5.66 feet
Step-by-step explanation:
a^2 + b^2 = c^2
2^2 +b^2 = 6^2
square root of (36-4) = b
b= 5.66 feet
a method to solving a system of equations using the coordinate and
Answer:
Systems by Graphing
Step-by-step explanation:
What is the solution to log7(x – 4) = log7(4x 5) ?.
The solution of the logarithmic equation provided using the log rule is,
[tex]x=-3[/tex]
What is the log rule for same base?When the base of the logarithm in an equality expression is same, then the number are directly compared to each other.
The given logarithmic equation in the problem is,
[tex]\log_7(x -4) = \log_7(4x +5)\\[/tex]
Compare the number for the same base as,
[tex](x-4)=(4x+5)[/tex]
Solve the equation further as,
[tex]4x-x=-4-5\\3x=-9\\x=\dfrac{-9}{3}\\x=-3[/tex]
Thus, the solution of the logarithmic equation provided using the log rule is,
[tex]x=-3[/tex]
Learn more about the rules of logarithmic function here;
https://brainly.com/question/13473114
Answer:
no solution
Step-by-step explanation:
3^x/3^y = 81
What is x - y?
Answer:
x - y = 4
Explanation:
I hope it's correct
answer:
x - y = 4
explanation:
[tex]\rightarrow \boxed{\frac{3^x}{3^y} = 81}[/tex]
[tex]\rightarrow \boxed{3^{x-y} = 81}}[/tex]
[tex]\rightarrow \boxed{3^{x-y} = 3^4}}[/tex]
[tex]\rightarrow \boxed{x-y = 4}[/tex]
Someone please help me
Answer:
17 1/4mph
Step-by-step explanation:
As you can see, Sarah rides her bike 5 3/4 in 1/3 hours. All you need to do is multiply 5 and 3/4 by 3 since it's thirds. 5x3=15. 3/4x3=9/4. 9/4= 2 1/4. 15+2 1/4= 17 1/4mph.
how do you solve f-3/4=5/6?
Answer:
f =38
Step-by-step explanation:
f-3/4=5/6
f-3×6=5×4
f-18 =20
f =20+18
f =38
There is a bag filled with 4 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is not replaced.
Another marble is taken at random.
What is the probability of getting exactly 1 red?
Answer:
5/9Step-by-step explanation:
There are 4 blue, 5 red and total of 9 marbles.
If two marbles are taken and we are looking for exactly one red, then it is:
red, then blue or blue, then redFind the probability of each case:
P(r, b) = 5/9*4/8 = 5/18P(b, r) = 4/9*5/8 = 5/18Probability of exactly one red:
P = 5/18*2 = 5/9Find on how equivilant fraction the. Write an equivalant expressions for 5 over 15
1.] (3x³) (x⁴)
2.] (3) (4³)
3.] (x²y)³
4.] (6x⁷) / (2x⁴)
5.] 9x
HELP PLSS NEED ASAP
Answer:
1. 3x^7
2. 192
3. x^6y^3
4. 3x^3
5. 3^2x
Step-by-step explanation:
Answer:
1. 3x⁷
2. 192
3. x⁶y³
4. 12x¹¹
5. 3²x
The electricity to run a water heater for 1 week costs $15.40. How much does it cost to run the water heater for 365 days?
Answer:
800
Step-by-step explanation:
52 weeks in a year then multiply 15.40
Answer:
$803
Step-by-step explanation:
cost of electricity for 1 week = 15.40
⇒ cost of electricity for 1 day = 15.40 ÷ 7 = 2.20
⇒ cost of electricity for 365 days = 2.20 x 365 = 803
Can anyone help me solve this?
Answer:
- 2.5Step-by-step explanation:
sin²45° - tan²60° + cos²90° = (√2/2)² - (√3)² + 0² = 1/2 - 3 + 0 = 0.5 - 3 = - 2.5[tex]\\ \rm{:}\rightarrowtail sin^245°-tan^260°+cos^290°[/tex]
sin45=1/√2tan60=√3cos90=1[tex]\\ \rm{:}\rightarrowtail (\dfrac{1}{\sqrt{2}})^2-(\sqrt{3})^2+(0)^2[/tex]
[tex]\\ \rm{:}\rightarrowtail \dfrac{1}{2}-3+0[/tex]
[tex]\\ \rm{:}\rightarrowtail 1/2-3[/tex]
[tex]\\ \rm{:}\rightarrowtail -5/2[/tex]