(05.02)
A line passes through (4, 5) and (8, 9). Which equation best represents the line?
y = x + 1
y = 1
y = 2x + 1
y = 5x + 8
Answer:
y = x + 1
Step-by-step explanation:
1) First, find the slope of the line between the two points. Whichever option has the same slope would be the right answer. To find this, use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, and [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point.
So, use the points given to answer the question. Substitute 4 for [tex]x_1[/tex], 5 for [tex]y_1[/tex], 8 for [tex]x_2[/tex], and 9 for [tex]y_2[/tex] then solve:
[tex]\frac{(9)-(5)}{(8)-(4)} \\= \frac{9-5}{8-4} \\= \frac{4}{4} \\= 1[/tex]
Therefore, the slope is 1.
2) Any line that is in a "y = a number" format is a horizontal line, and all horizontal lines have a slope of 0 - so the second option can't be the answer.
The rest of the options are in slope-intercept form, or y = mx + b format. Remember that the coefficient of the term with the x is the slope. Knowing this, y = x + 1 would need to be the answer since the coefficient of the term with the x is 1, and we already calculated that the slope is 1.
Answer:
im just adding this so you can give them brainliest lol
Step-by-step explanation:
yes, they are correct
PLEASE HELP MEEE PLEASEEEE
9514 1404 393
Answer:
x³ +9x² +27x +27
Step-by-step explanation:
Put x where 'a' is, and put 3 where 'b' is in the given pattern, then simplify.
(x +3)³ = x³ +3x²(3) +3x(3²) +3³
= x³ +9x² +27x +27
PLS HELP ASAP WILL GIVE BRAINLIEST!
Answer:
A & C
Step-by-step explanation:
Hope this Helps! :)
Answer:
A and C
Step-by-step explanation:
They do not know how many fish nor mammals there are therefore those are unknown
BRAINLEST: Without shipping costs, a textbook costs $11.17 from a particular online
dealer. If Jordan paid $14.43 for the textbook, including shipping, how
much did the shipping cost?
Answer:
3.26$
Step-by-step explanation:
Simply subtract one from another to find the difference in the cost.
Music lessons cost $20 per week. How much do 6 weeks of lessons cost? i need the expression
Answer:
20+20+20+20+20+20= 120
Step-by-step explanation:
2^6 = 120 hope this helps! plz mark brainliest
can someone help me find the area
Answer:
64a^2c^4
Step-by-step explanation:
What is (p) + (2p + 1) + (p+4)
Answer:
4p + 5
Step-by-step explanation:
Add all like terms:
p + 2p + p = 4p
1 + 4 = 5
4p + 5
On average sasha can drive 28 miles on every gallon of gasoline if she fills up her tank for $2.25 per gallon how much will it cost her to drive 336 miles
Answer:
It will cost her $27 to drive 336 miles.
Step-by-step explanation:
With the information provided, you can use a rule of three to find how much it will cost to drive 336 miles given that driving 28 miles costs $2.25:
28 miles → $2.25
336 miles → x
x=(336*2.25)/28= 27
According to this, the answer is that it will cost her $27 to drive 336 miles.
A factory uses 1/6 of a barrel of raisins in each batch of granola bars. Yesterday, the factory used 1/2 of a barrel of raisins. How many batches of granola bars did the factory make yesterday? Simplify your answer and write it as a proper fraction or as a whole or mixed number.
Answer:
The factory made 3 batches of granola bars.
Step-by-step explanation:
Given that:
1/6 barrel of raisins is used in each batch of granola bars.
1/6 barrel = 1 batch
1/2 barrel = x batches
As the relationship is proportional,
1/6 : 1 :: 1/2 : x
Product of mean = Product of extreme
[tex]\frac{1}{6}x=\frac{1}{2}[/tex]
Multiplying both sides by 6
[tex]6*\frac{1}{6}x=\frac{1}{2}*6\\x=3[/tex]
Hence,
The factory made 3 batches of granola bars.
A construction job for gallery 10 painters were tasked with painting the interior these painters made up 40% of the painting crew so how many painters in all worked on this job
Answer:
Total number of painters = 25 painters
Step-by-step explanation:
Interior painting = 10 painters
These painters made up 40% of the painting crew
how many painters in all worked on this job?
Let
Total number of painters = x
Interior painters = 40% of x
10 = 40% * x
10 = 0.4 * x
10 = 0.4x
x = 10/0.4
x = 25 painters
Total number of painters = x = 25 painters
Can someone help I'm horrible at math!!it's also to today!!!
Answer: C
Step-by-step explanation: When triangles are similar, all of their angles should be equal to their respective angles on the other triangle.
y the
If f(x) = 4*, which statements are true of g(x)? Select two
options.
O O
g(x) = 464-1)
g(x) = 4* - 1
The graph is translated left 1 unit.
The graph is translated down 1 unit.
The graph is translated both horizontally and
vertically.
The domain and range of g(x) is the same as the
domain and range of f(x).
Answer: b and d
Step-by-step explanation:
Which number is the remainder for (7x3 + 4x2 – 9x + 37) divided by (x – 5)?
Answer:
Solving it would turn into these:
(20x+37)/ x- 5
20+ (137/x-5)
Is W = 2 a solution to the inequality below?
8 < W
yes
no
Pls help
Answer: no
Step-by-step explanation: 8 is not less than 2
use the coordinates below to determine if abc and def are congruent a(2 -8)
HELP
Answer:
Step-by-step explanation:
We need to find whether the two given triangles are congruent.
The given triangles are congruent.
The distance between two points is given by
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
A(2,-8) and B(-5,-2)
[tex]AB=\sqrt{(-5-2)^2+(-2-(-8))^2}\\\Rightarrow AB=\sqrt{49+36}\\\Rightarrow AB=\sqrt{85}[/tex]
D(-9,7) and E(-11,12)
[tex]DE=\sqrt{(-11-(-9))^2+(12-7)^2}\\\Rightarrow DE=\sqrt{29}[/tex]
B(-5,-2) and C(-7,3)
[tex]BC=\sqrt{(-7-(-5))^2+(3-(-2))^2}\\\Rightarrow BC=\sqrt{29}[/tex]
E(-11,12) and F(-2,1)
[tex]EF=\sqrt{(-2-(-11))^2+(1-12)^2}\\\Rightarrow EF=\sqrt{202}[/tex]
A(2,-8) and C(-7,3)
[tex]AC=\sqrt{(-7-2)^2+(3-(-8))^2}\\\Rightarrow AC=\sqrt{202}[/tex]
D(-9,7) and F(-2,1)
[tex]DF=\sqrt{(-2-(-9))^2+(1-7)^2}\\\Rightarrow DF=\sqrt{85}[/tex]
It can be seen that [tex]AB=DF=\sqrt{85}[/tex], [tex]BC=DE=\sqrt{29}[/tex] and [tex]AC=EF=\sqrt{202}[/tex].
Since, each side of triangle ABC is equal to one side of triangle DEF they are congruent to each other.
Learn more:
https://brainly.com/question/5925325
https://brainly.com/question/18841384
Use the triangle below. Find the length of the missing side. If necessary, round to the nearest tenth. B = 12 and c = 13 A= ?
Answer:
..................
17.7
please help me please will give brainliest to anyone who is good
show your reasons
Answer:
Choice B
Step-by-step explanation:
He is currently 40 inches in height.
He needs to be 48 inches in height to ride the roller coaster.
He is growing 1.2 inches per month (m)
So, 40 + 1.2m ≥ 48
40 inches + average gain per month has to be greater or equal to (≥) 48 inches.
y = 2/3x - 2
y = -x + 3
Please and quickly
3. In the fig. AD = DC and AB = BC. Prove that ΔADB = ΔCDB
Answer:
The two column proof is presented as follows;
The given parameters are;
[tex]\overline {AD}[/tex] = [tex]\overline {DC}[/tex] and [tex]\overline {AB}[/tex] = [tex]\overline {BC}[/tex]
Statement [tex]{}[/tex] Reason
[tex]\overline {AD}[/tex] = [tex]\overline {DC}[/tex] and [tex]\overline {AB}[/tex] = [tex]\overline {BC}[/tex] [tex]{}[/tex] Given
[tex]\overline {BD}[/tex] ≅ [tex]\overline {BD}[/tex] [tex]{}[/tex] Reflexive property
[tex]\overline {BD}[/tex] = [tex]\overline {BD}[/tex] [tex]{}[/tex] By the definition of congruency
ΔADB ≅ ΔCDB [tex]{}[/tex] By Side-Side-Side (SSS) rule of congruency
ΔADB = ΔCDB [tex]{}[/tex] By the definition of congruency
If the three sides of one triangle are congruent to the corresponding three sides of another triangle, then both triangles are said to be congruent according to the SSS rule of congruency
Step-by-step explanation:
graph the following direct variations y=2 1/2x
Answer: you would put a dot a the point (0,0) and than at the point (1,2) and than at (2,4) than draw a line though it
The slope of a line is the ratio of rise to run for any two points on a line. Is this a true statement? Explain in two to four sentences. If false, provide a corrected statement.
Answer:
True
Step-by-step explanation:
The slope is the ratio of rise to run for any two points on a line.
The rise is the change in vertical axis, y
Rise = y2 - y1
The run is the change in the horizontal axis, x
Run = x2 - x1
Slope is the ratio of both:
Rise / Run = (y2 - y1) / (x2 - x1)
The drama club sells hot drinks during intermission for the school play. At one performance they sold $200 worth of drinks. Karen knows that they sold 295 total drinks. If hot chocolate sold for $0.75 and coffee sold for $0.50, then how many of each hot drink did the drama club sell?
Answer:
they sold 210 hot chocolates and 85 coffees
Step-by-step explanation:
We know that they sold $200 worth of drinks
x will be the number of hot chocolates sold
y will be the number of coffees sold
This means that
.75x+.5y=200
We also know that they sold 295 total drinks which means that
x+y=295
This is a system of linear equations which I will solve through substitution
x+y=295
Subtract y from both sides and divide by -1 to get
-x+295=y
Plug y into the first equation and get
.75x+.5(-x+295)=200
Distribute the .5 and simplify to get
.75x-.5x+147.5
.25x+147.5=200
Subtract 147.5 and then divide by .25 to get our x value
x=210
Now we can go back and plug this in into our equation
210+y=295
Subtract 210 to get y
y=85
This means that they sold 210 hot chocolates and 85 coffees
please help me!!!!!!
Answer:
please the answer is the third option
Answer:
B. - x+17/12
Step-by-step explanation:
2x-1/3 - 3x+7/4 cress cross
4(2x-1) + 3(-3x +7)/12
8x-4 - 9x+12/12
-1x + 21-4/12
-x+17/12
Of the 45 animals on the farm, there are only pigs and chickens. The animals have a total of 124 legs. How many pigs and how many chickens are on the farm?
A. Write a system of equations to describe the situation. Be sure to define your variables.
b. Solve the system. Show all your work. How many pigs and chickens are on the farm?
[tex]on \: this \: farm \: there \: are \to \\ \underline{ \boxed{17 \: pigs }}\: \\ and \\ \underline{ \boxed{28 \:chickens}}[/tex]
Addi places the letters from the word DECEMBER into a bag, a letter will be randomly selected and not replaced. Thnen another letter will be celected. What is the probability of Addi selecting an C and then an E?
Answer:
Step-by-step explanation:
for c it would be 1\8
for E it would be 3\8
Answer:
Step-by-step explanation:
1/8+3/8= 4/8
Simplify the rational expression:
5y+5/2 ÷ 25y-20/40y²-32y
Step-by-step explanation:
Your problem → 5y+5/2 / 25y-20/40y^2-32y
5y+5/2÷25y-20/40y^2-32y
=5⋅y+5/2÷25×y-20/40×y^2-32×y
=5y+5/2÷25×y-20/40×y^2-32y
=5y+5/2×1/25×y-20/40×y^2-32y
=5y+y/10-20/40×y^2-32y
=5y+y/10-y^2/2-32y
=5y×10+y-y^2×5-32y×10 ÷ 10
=50y+y-5y2-320y ÷ 10
= -269y-5y^2 / 10
Please help, 10 points <——- and will mark Brainly
Answer:
chicken and chicken
Step-by-step explanation:
just took the test
What is the calculation for determining simple interest and compound interest? Borrowing if borrowed $20,000 for 5 years at a 4% interest rate? What is total interest paid?
Answer:
If using simple interest, the formula is:
= Amount * ( 1 + rate * time)
= 20,000 * ( 1 + 4% * 5)
= $24,000
Interest = Balance after 5 years - Investment
= 24,000 - 20,000
= $4,000
Using Compound Interest:
= Amount * ( 1 + rate)^time
= 20,000 * ( 1 + 4%)⁵
= $24,333.06
Interest = 24,333.06 - 20,000
= $4,333.06
Calculate (3x10^4)^3 giving your answer in standard form
Answer:
27000000000000
Step-by-step explanation:
Answer:
2.7 × 10^13
Step-by-step explanation:
10^4
10000 x 3 = 30000
30000^3
27 000 000 000 000
as standered form
2.7 ×10^13
19/60 converted to a decimal
Answer:
its approximately 0.31667
Step-by-step explanation:
