Answers
Answer:
Line 1 : y = -2x - 5
Line 2 : y = -3x + 3
Step-by-step explanation:
note the slope, and then note the y intercept
Answer:
y = - 2x - 5 and y = - 3x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = - 2, - 1) and (x₂, y₂ ) = (0, - 5) ← 2 points on the line
m = [tex]\frac{-5-(-1)}{0-(-2)}[/tex] = [tex]\frac{x- 5+1}{0+2}[/tex] = [tex]\frac{-4}{2}[/tex] = - 2
The line crosses the y- axis at (0, - 5 ) ⇒ c = - 5
y = - 2x - 5 ← equation of line 1
Repeat with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (1, 0) ← 2 points on line 2
m = [tex]\frac{0-3}{1-0}[/tex] = [tex]\frac{-3}{1}[/tex] = - 3
The line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = - 3x + 3 ← equation of Line 2
Related Questions
wich statement is true about the graphs of the two lines y=-6 and ×=1/6?
No links
Answers
Find the slope for this table.
Answers
Answer:
-1/5
Step-by-step explanation:
if you look at the table, you can see that for every 5 units of x, y goes down 1 unit. slope= rise/run so the slope is -1/5
Answer:
slope=-1/5
Step-by-step explanation:
Use slope formula to get 4-5/0-(-5) which is -1/5, so out slope is -1/5
The area of a trapezoid is 70. 55 square feet. The length of the bases are 11. 4 feet and 5. 6 feet. What is the height of the trapezoid? 4. 15 ft 4. 15 ft2 8. 3 ft 8. 3 ft2.
Answers
The height of the trapezoid is 8.3 feet.
A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides,4 vertices and edges.
Area of a trapezoid = 0.5 x (sum of the lengths of the parallel sides) x height
70.55 = 0.5 x (11.4 + 5.6) x h
70.55 = 0.5 x (17) x h
70.55 = 8.5h
h = 70.55 / 8.5
h = 8.3 feet
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ABC and DEF are similar triangles. If the side lengths of ABC are 6, 8, and 12, and the
longest side of DEF is 18, then what are its other side lengths?
9 and 14
9 and 12
14 and 16
24 and 36
Answers
Applying the properties of similar triangles, the other side lengths of ΔDEF are: B. 9 and 12
Properties of Similar Triangles:
The ratio of the corresponding sides two triangles that are similar to each other are the same/equal.Given that ΔABC and ΔDEF are similar triangles, therefore:
Let, a = 6, b = 8, and c = 12 be the sides of ΔABC.Let, x, y, and z be the sides of ΔDEF.Let z = 18Thus:
a/x = b/y = c/z
Substitute6/x = 8/y = 12/18
Find x using 6/x = 12/18:
6/x = 12/18
Cross multiplyx = [tex]\frac{18 \times 6}{12}[/tex]
x = 9
Find x using 8/y = 12/18:
8/y = 12/18
Cross multiplyx = [tex]\frac{18 \times 8}{12}[/tex]
x = 12
Therefore, applying the properties of similar triangles, the other side lengths of ΔDEF are: B. 9 and 12
Learn more about similar triangles on:
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train tickets cost $48 for adults and $32 for children there are 27 adults and 55 children on the train how much did the passengers pay to ride the train
Answers
work
adult tickets:48x27=1296
children tickets: 55x32=1760
add the two totals 1296+1760= 3056
9i⋅(−4−7i) Your answer should be a complex number in the form a+bi where a and b are real numbers.
Answers
Answer:
see below
Step-by-step explanation:
here we are using the distributive property and noting that i^2=-1 so the answer is -36i-(63i^2) or -36i+63
△RQP≅△ONM. Find the value of x. ( I WILL GIVE BRAINLIEST! PLS HELP!)
refer to attachment
Answers
Answer:
x = 25Step-by-step explanation:
According to picture, PQ and MN are corresponding sides of congruent triangles.
PQ = MN70 = 3x - 53x = 70 + 53x = 75x = 2557 multiplied 2794?
IXL question
Answers
Write an equation for the n term of the arithmetic sequence -1, 4, 9, 14, . Then find a50
Answers
Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = - 1
To find the common difference subtract the previous term from the next term
We have
d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5
Therefore d = 5
Substitute the values into the general formula
That's
[tex]A(n) = - 1 + (n - 1)(5) \\ = - 1 + 5n - 5 \\ = 5n - 6 \: \: \: \: \: \: \: \: \: \: \: [/tex]
To find A(50) substitute the value of n that's 50 into the formula above
[tex]A(50) = 5(50) - 6 \\ \: \: \: \: \: \: \: \: \: = 250 - 6 \\ \: = 244[/tex]
Hope this helps you
Step-by-step explanation:
The sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)dwhere a is the first term
n is the number of terms
d is the common difference
From the question
a = - 1To find the common difference subtract the previous term from the next term
d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5Therefore d = 5
Substitute the values into the general formula
That's
[tex]A(n)=−1+(n−1)(5) \\ \: \: \: \: \: \: \: \: =−1+5n−5 \\ =5n−6[/tex]
To find A(50) substitute the value of n that's 50 into the formula above
[tex]A(50)=5(50)−6 \\ \: \: \: \: \: \: \: \: =250−6 \\ \: \: =244[/tex]
If Martin buys a coke for $1.85 on a credit card that charges 22% interest compounded monthly what will the coke actually cost him if he does not pay the credit card off in five years?
Answers
Using compound interest, it is found that the coke will actually cost him $5.50.
Compound interest:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.In this problem:
The coke is bought for $1.85, hence [tex]P = 1.85[/tex].The interest rate is of 22%, hence [tex]r = 0.22[/tex].It is compounded monthly, hence [tex]n = 12[/tex].Five years, hence [tex]n = 5[/tex]Then:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(5) = 1.85\left(1 + \frac{0.22}{12}\right)^{12(5)}[/tex]
[tex]A(5) = 5.50[/tex]
The coke will actually cost him $5.50.
A similar problem is given at https://brainly.com/question/14239300
A sunflower grows to be 200cm tall. After four weeks, it was 30% of this height. How tall
was the sunflower after four weeks?
Answers
Answer:
60cm
Step-by-step explanation:
200*3/10=20*3=60
Find the reference angle for -369°
a.
9°
c.
99°
b.
81°
d.
171°
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
A. 9
Step-by-step explanation:
Andrea buys 3 pounds of Georgia pecans for
$10.35. What is the unit rate for the pecans?
Answers
Answer:
3.45 per pound of peacans
Step-by-step explanation:
we know that 3 pounds of peacans is 10.35 dollars so all that we have to do to find the unit rate is divide 10.35 by 3 and we get 3.45$
5(a-b) if a=-4 and b=-2
Answers
5(a-b) if a=-4 and b=-2
5(-4--2)
5(-4+2)
5(-2)
-10
Answer: -10
Answer:
The expression equals -10.
Step-by-step explanation:
First, solve the expression in the parentheses. -4 - -2 can be turned into -4 + 2, which is -2. Then, multiply by the coefficient right next to the parentheses. -2 times 5 is -10.
How do you do order of operations step by step?.
Answers
Answer:
"Please excuse my dear Aunt Sally or PEMDAS"
____________________________________________________________
Please stands for Parentheses, so we solve everything inside of the parentheses first.
Then, Excuse which is for “Exponents.” We answer that after we answer everything in parentheses.
Multiplication, which is the My, and this happens from left to right.
And then division, which is the “Dear,” which also happens left to right.
And then we have addition and subtraction, which also happens from left to right, and this is “Aunt” and “Sally.”
Where do I graph them?
Answers
hi there is the gems I am getting on to be a good choice and evolve as a means to get a better of your life
Sue has 18 3/4 cups of sugar Each pie calls for 1 1/2 cup of sugar Sue wants to break 12 pies Does she have enough sugar How much will be left over or how much more does she need
Answers
Answer:
she will have 3/4 cups left over
Step-by-step explanation:
1 1/2 times 12 is 18
I need #7 done (show work) will give brainliest
Answers
Answer:
see explanation
Step-by-step explanation:
(7)
∠ RPS + ∠ QPR = ∠ QPS , substitute values
8x + 7 + 9x + 16 = 40 , that is
17x + 23 = 40 ( subtract 23 from both sides )
17x = 17 ( divide both sides by 17 )
x = 1
14. Find m
(9x + 2)
(15x -52)
Answers
Step-by-step explanation:
triangle BCD ~ triangle EFD so
angle BCD= angle EFD
9x+2=15x-52
6x=54
x=9
angle CBF =9x+2=83°
In the triangle ΔCBD, the angle measure of ∠CBF is 83°.
What are similar triangles?When the triangles have equal shape, but different sizes. It is called as similar triangles. The corresponding angles are congruent. And the sizes have the same proportionality rate.
Given:
The angle measures,
∠CBD = (9x + 2)°
∠EFD = (15x -52)°
From the diagram,
ΔCBD is similar to ΔEFD.
So, the corresponding angles are equal.
∠CBD = ∠EFD
(9x + 2)° = (15x -52)°
15x - 9x = 52 + 2
6x = 54
x = 9°
And ∠CBF = ∠CBD
So, ∠CBF = (9x + 2)°
Substituting the value of x,
∠CBF = (9(9) + 2)°
∠CBF = 83°
Therefore, the angle measure of ∠CBF is 83°.
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Help me out! Find the value of x angle theorems part 3 triangle
Answers
Answer:
x = 3
Step-by-step explanation:
The triangles are similar.
x + 9 is twice 2x.
x + 9 = 2(2x)
x + 9 = 4x
9 = 3x
x = 3
A company has $7,200 to send its employees to a conference. The conference costs $900 for each employee who attends. How many employees can the company send to the conference?
Answers
dwfegrhtytg pls helpp
Answers
Answer:
The answer to Y/X is 4/1
Taryn is measuring ribbon to make decorations for a fall party. She needs
32 feet of ribbon. She has 12 &
1/3 feet of ribbon.
How many more feet of
ribbon does she need?
Answers
Answer:
19 2/3
Step-by-step explanation:
32 ft minus 12 and 1/3 ft is 19 and 2/3 ft.
please i really need help
The perimeter of each shape is 3 units? True or False?
Answers
10x-12=6x-6
4x-12=-6
4x=6
x=1.5
2.5(1.5)-3= 0.75
2(1.5)-2=1
False
Please help ( WILL MARK BRAINLIEST)
Answers
Answer:
The bottom right
*you won't see it yourself that the answer is correct because you are working on and iReady test friend*
Step-by-step explanation:
If you map out the shape in your head and slowly fold up the flaps, then you get a rectanglular prism.
The farmer bought 2.5 sacks of fertilizer for $2.20 per sack and 4.5 sacks of essential soil for $1.80 for each sack from the supplier. If he gave a $15 bill to the supplier, how much would his change be?
Answers
Answer:
$0.50 or 50 cents
Step-by-step explanation:
If he bought 2 and a half sacks of fertilizer for $2.20 that means u multiply 2.20 2 and a half times so first lets divide 2.20 by 2 to find the solution of the "0.5" which is 1.10
2.20 times 2 equals 4.40 then we add the 1.10 so 4.40 plus 1.10 is $5.50.
For the 4.5 sacks of 1.80 we will do the same technique half o 1.80 is 90 cents so 0.90 and 4.5 times 1.80 is $8.10 we then add the 90 cents making it $9.
We then add the 2 totals of $9 and $5.50 which equals $14.50, the change would be 50 cents which in decimal form would be $0.50
( Solving Linear Equations in One Variable )
What is the solution of the equation? Show your work.
1/4(2x + 1.2) = 3(0.7x + 3) - 5 1/2
Answers
Answer:
x=-2
Step-by-step explanation:
Simplify parentheses : 0.5x+0.3=2.1x+9-5.5
Combine like terms : 0.5x+0.3=2.1x+3.5
Isolate the variable : -1.6x=3.2
Divide by -1.6 on both sides : x=-2
Answer:
x=-2
Step-by-step explanation:
1/4(2x + 1.2) = 3(0.7x + 3) - 5 1/2
multiply both sides of the equation by 4 to get rid of the fraction 1/4
2x+1.2=12(0.7x+3)-4*5 1/2
distribute 12 into parenthesis
2x+1.2= 8.4x+36-4*5 1/2
multiply -4 with 5 1/2
2x+1.2=8.4x+36-22
subtract numbers
2x+1.2= 8.4x+14
move X's to one side and numbers to another
2x-8.4x=14-1.2
collect like terms
-6.4x=12.8
divide by -6.4 to get x
x= -2
Find the measures of angles 1 and 2.
Answers
Answer:
angle one:100 degrees
angle two:70 degrees
Step-by-step explanation: so angle two and the angle with 70 degrees are alternate angles, so they would be the same. at this point if you subtracted 70 from 180 because angle b is 180 degrees, you would get 110, so then you would have three angles, and it wouldn't be too hard to find the fourth, which is 100 degrees.
A new bank customer with 3,000 wants to open a money market account the bank is offering a simple interest rate of 1.8% how much interest will the customer earn in 20 years
Answers
Answer:
$3540
Step-by-step explanation:
See explanation
Step-by-step explanation:
The Simple Interest will be calculated as:
= P × R × T
= $3000 × 1.8% × 10.
= $3000 × 0.018 × 10
= $540
The interest that the customer earn in 10 years is $540.
Then, the account balance after 10 years will be:
= Principal + Interest
= $3000 + $540
= $3540
Therefore, the account balance will be $3540
A quality-control inspector examined 260 calculators and found 11 of them to be defective. At this rate, how many defective calculators will be in a batch of 5,200 calculators?
Answers
Answer:I got 220
Step-by-step explanation:
5200/260=20
20*11=220