Answer:
y=5/3x+7/3
Step-by-step explanation:
Here are the points: (1,4) and (-2, -1)
let's first find the slope, which is with the equation m=(y2-y1)/(x2-x1) (m is the slope)
label the points:
x1=1
y1=4
x2=-2
y2=-1
now subsitute into the equation
m=(-1-4)/(-2-1)
m=-5/-3
m=5/3
the slope of the line 5/3
Here's the equation so far:
y=5/3x+b (b is a place holder)
we can substitute either one of the points into the equation so far to find b, because the line will pass through both of them>
let's use (1,4) as an example
4=5/3(1)+b
4=5/3+b
subtract 5/3 from both sides
7/3=b
Now, put it all together:
y=5/3x+7/3
Hope this helps!
Evaluate the expression for the given value of x.
−6x + 5 for x= −6
Which word best describes a parallelogram with diagonals that are congruent and perpendicular?
A. rectangle
B. rhombus
C. square
D. trapezoid
Simplify the fraction and state the excluded value(s).
[tex]\dfrac{7x^2+4x-20}{5x+10}[/tex]
Answer:
[tex]\displaystyle \frac{7x^2 + 4x - 20}{5x + 10} = \frac{7x - 10}{5}, x \neq -2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFactoringCalculus
Discontinuities
Removable (Holes)Jump (Piece-wise functions)Infinite (Asymptotes)Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{7x^2 + 4x - 20}{5x + 10}[/tex]
Step 2: Simplify
[Frac - Numerator] Factor quadratic: [tex]\displaystyle \frac{(7x - 10)(x + 2)}{5x + 10}[/tex][Frac - Denominator] Factor GCF: [tex]\displaystyle \frac{(7x - 10)(x + 2)}{5(x + 2)}[/tex][Frac] Divide/Simplify: [tex]\displaystyle \frac{(7x - 10)}{5}, x \neq -2[/tex]When we divide (x + 2), we would have a removable discontinuity. If we were to graph the original function, we would see at x = -2 there would be a hole in the graph.
[tex]\color{skyblue}{\boxed{\tt{ANSWER:}}}[/tex]
General Formulas and Concepts:Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra ITerms/Coefficients
Factoring
Calculus
Discontinuities
Removable (Holes)Jump (Piece-wise functions)Infinite (Asymptotes)^_^ ❤
20 points
A large amount of peanuts was divided equally into 6 small bags. The total number of peanuts, p, was 342. Which
statements can be used to write an expression and then find the number of peanuts that ended up in each bag?
Check all that apply.
The operation is division.
The operation is multiplication.
The variable is the number of bags.
342 divided by 6 equals 57.
Write the division expression as a fraction,
To evaluate, substitute 342 for the variable.
Each bag will have 57 peanuts.
The constant is 342.
Answer:
I think the answer is A, D, E, F, and G.
Tell me if i'm right or wrong please.
Answer:
adefg
Step-by-step explanation:
Help meeeeee! plsssssssssssssssssssssssssssss
Step-by-step explanation:
Store a must offer 30%
help me so much rn plz plz
Answer:
5(9+x)
Step-by-step explanation:
5 x 9 = 45
then if do 5 times x it would look like 5x
From the top of a lighthouse 160 feet high, the angle of depression of a boat out at sea
is 24. Find, to the nearest foot, the distance from the boat to the foot of the
lighthouse. (The foot of the lighthouse is at sea level.)
Answer:
Lighthouse= 160 ft Theta= 24 We want to find the length so we will dotan(24)= 160/x x= 359 feetThe distance from the boat to the foot of the lighthouse is 359.36 ft
What is height and distance?Height is the measurement of an item in the vertical direction, whereas distance is the measurement of an object in the horizontal direction from a certain location.
Given that, From the top of a lighthouse 160 feet high, the angle of depression of a boat out at sea is 24.
The whole situation is representing a right triangle (refer to figure)
Let the distance from the boat to the foot of the lighthouse be x
We know that, angle of depression = angle of elevation
Then, using formula of height and distance,
tan 24° = 160 / x
x = 160 / tan 24°
x = 359.36
Hence, the distance from the boat to the foot of the lighthouse is 359.36 ft
For more references on height and distance, click;
https://brainly.com/question/15939509
#SPJ2
Log_10 3 ~ 0.771 evaluate log_10 0.0003
Answer:
If log(subscript 10) 3 is approximately .4771, evaluate log (subscript 10) .0003 Give answer correct to four decimals.
Step-by-step explanation:
If log(subscript 10) 3 is approximately .4771, evaluate log (subscript 10) .0003 Give answer correct to four decimals.
The measures of the acute angles of a right triangle are in the ratio 5:7
Answer:
37.5:52.5
Step-by-step explanation:
5u + 7u = 90
12u = 90
u = 7.5
So the angles are (5x7.5) =37.5 degrees
(7x7.5) = 52.5 degrees.
Call the actor spam her she blocked me 3053035819 call her name lauren.
Answer:
so, its 2.34 to the square root of 163
Step-by-step explanation:
you need to find the angle congruent to side 'actor'
times that by your credit card and divide by lauren
hope i get brainliest!!
Write in point-slope form an equation of the line that passes through the point (3,0) with slope 23.
Answer:
[tex]y-0=23(x-3)[/tex]
Step-by-step explanation:
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] when the given point is [tex](x_1,y_1)[/tex] and [tex]m[/tex] is the slope
[tex]y-y_1=m(x-x_1)[/tex]
Plug in the point
[tex]y-0=m(x-3)[/tex]
Plug in the slope
[tex]y-0=23(x-3)[/tex]
I hope this helps!
Mia's office recycled a total of 9 pounds of paper over 3 weeks. After 7 weeks, how many pounds of paper will Mia's office have recycled? Choices: 24 21 15 18
Answer:
After 7 weeks, Mia's office will have recycled 21 pounds.
Step-by-step explanation:
With the information provided, you can use a rule of three to find the pounds of paper that Mia's office will have recycled after 7 weeks given that they recycled 9 pounds over 3 weeks.
3 weeks → 9 pounds
7 weeks → x
x=(7*9)/3
x=21
According this, the answer is that after 7 weeks, Mia's office will have recycled 21 pounds.
What is the y intercept of the following equation -y+x=0
Answer:
0
Step-by-step explanation:
Answer:
y-intercept is 0
Step-by-step explanation:
because well you first have to put it in y=mx+b form, after you do that you have -y=0-x and you can't have a -y so you divide by -1 for 0 and -x 0/-1=0 and -x/-1=1 hope that helps
{(2,5), (-3, 4), (-4,-4), (x,-5)}
What value of x will make the relation a function?
-3
-4
5
2
Answer:5
Step-by-step explanation:
because idrk my teacher just answered this question and i thought i would share :)
For the expression 15-15z to have a negative value, what must be true about the value of z?
Choose the correct answer.
A. The value of z has to be 0.
B. The value of z has to be less than 1.
C. The value of z has to be greater than 1.
D.The value of z has to be negative.
Answer:
C. The value of z has to be greater than 1
Step-by-step explanation:
[tex]15 - 15z < 0 \\ - 15z < - 15 \\ 15z > 15 \\ z > 1[/tex]
Parlings vary directly with mots. If 7.5 mots are worth 37.5 parlings, how many parlings will get you 13 mots?
Answer:
65 parlingsStep-by-step explanation:
Use ratios:
7.5 mots / 37.5 parlings = 13 mots / x parlingsx = 13*37.5/7.5x = 65The length of one leg of an isosceles right triangle is 7 units. What is the length of the hypotenuse?
A cyclist travels 18 km from home to the park.
She leaves home at 16:00 and arrives at the park at 16:45.
What is her average speed in km/h?
Answer: 24 km/h
Step-by-step explanation:
She traveled 18 km in 45 minutes, this could be simplified to .4 km/min or 24 km/h
2/5k - 3/5 + 1/10k ?
Answer:
Since it is not an equation u wont get a numerical value
so basically its just fraction addition and subtraction
which is ((2/5)-(3/5)+(1/10))k
so answer is (-1/10)k
Step-by-step explanation:
[tex] \frac{2}{5} k \: - \frac{3}{5} + \frac{1}{10} k[/tex]
[tex] \frac{4}{10} k + \frac{1}{10} k - \frac{3}{5} [/tex]
[tex] \frac{5}{10} k - \frac{3}{5} [/tex]
[tex] \frac{k}{2} - \frac{3}{5} [/tex]
15 POINTS!
Please help
Thank you
Answer: 1. 2 x^3 - 13 x + 15
2. 2 x^4 - 12 x^3 + 13 x^2 + 15 x
Step-by-step explanation:
Solve:
1/3(2x-6/5)=4/9(x+1/3)
[tex] \frac{1}{3} .( \frac{2x - 6}{5} ) = \frac{4}{9} .( \frac{x + 1}{3} )[/tex]
[tex] \frac{2x - 6}{15} = \frac{4x + 4}{27} [/tex]
[tex]54x - 162 = 60x + 60[/tex]
[tex] - 222 = 6x[/tex]
[tex]x = - 37[/tex]
I guess it's right.We learnt this way in Turkey.
What is m∠P? There is a five sided polygon PQRST in which the measure of angle PQR is 132 degrees, the measure of angle QRS is (4x-10) degrees, the measure of angle RST is (5x-11) degrees, the measure of angle STP is 128 degrees and the measure of angle TPQ is (4x+2) degrees.
Answer:
94°
Step-by-step explanation:
There is a five sided polygon PQRST in which the measure of angle PQR is 132 degrees, the measure of angle QRS is (4x-10) degrees, the measure of angle RST is (5x-11) degrees, the measure of angle STP is 128 degrees and the measure of angle TPQ is (4x+2) degrees.
Sum of angles in a pentagon = 540°
Hence:
PQR + QRS + RST +STP + TPQ = 540 °
132 + (4x-10)° + (5x-11)° + 128° + (4x+2) degrees = 540°
132 + 4x - 10 + 5x - 11 + 128 + 4x + 2 = 540
132 - 10 - 11 + 128 + 2 + 4x + 5x +4x = 540°
241 +13x = 540
13x = 540 - 241
13x = 299
x = 299/13
x = 23
What is m∠P?
m∠P in Pentagon PQRST = TPQ
TPQ = 4x + 2
= 4 × 23 + 2
= 94°
Anthony and Jesus decide that they want to buy a Playstation 5 together. They each have $225. Ray has a Gamestop coupon that gives him 10% off his order, so they decide to go to Gamestop. The price of the Playstation is $499.00. If tax is 7%, will they be able to buy the console? If not, how much money will they have to borrow from their parents?
Answer:
Yes, they will have enough.
Step-by-step explanation:
1. $499.00 + 7% = $533.93
2. $225 x 2 = $550
3. $550 - $533.93 = $16.07 left to spend
Please help i dont get this
Answer:
11-2m
Step-by-step explanation:
33-6m/3
= 3(11-2m)/3
= 11-2m (the 3 cancels out)
Someone help
Which is the correct algebraic expression for each phrase? 15 miles less than Devra biked
A. d + 15
B. d – 15
C. 15 – d
D. 15 + d
Answer:
i would say it’s b because it makes more sense rather than 15-d
How many terms are there in the following expression:
3x + 2y + 8 - x +7y
there are terms in the expression.
Which statements are true regarding triangle LMN? Check all that apply.
Answer:A,C,E
Step-by-step explanation:I took the quiz
Answer:
its right ACE
Step-by-step explanation:
Evaluate the expression for the given value of x.
3x + 4 for x= 5
Find the new price after the markdown given. Round to the nearest cent if necessary. $5,250 marked down 15%
Marked down 15% means the new price would be 85% of the original price ( 100%-15% - 85%)
Multiply the original price by 85%:
5250 x 0.85 = 4462.50
The new price is $4,462.50
x3−2=10 help plz i need help
