For a point with a slope 3/4 and which passes through the points (-2, 6) and (-8, k), the value of k is 1.5
The line passes through the points (-2, 6) and (-8, k)
That is, [tex]x_1=-2, y_1=6, x_2=-8, y_2=k[/tex]
The slope of the line, m = 3/4
The formula for calculating the slope of a line is given as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute [tex]x_1=-2, y_1=6, x_2=-8, y_2=k, m = \frac{3}{4}[/tex] into the formula above
[tex]\frac{3}{4} = \frac{k-6}{-8-(-2)} \\\\\frac{3}{4} = \frac{k-6}{-8+2}\\\\\frac{3}{4} = \frac{k-6}{-6}\\\\-6(3)=4(k-6)\\\\-18=4k-24\\\\4k=-18+24\\\\4k=6\\\\k=\frac{6}{4} \\\\k=1.5[/tex]
Therefore, the value of k is 1.5
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easy one - giving brainly if correct - show work.
Answer:
51,000
Step-by-step explanation:
50,000
20% raise is
50,000 + 50,000 * 20/100
= 50,000 + 10,000
= 60,000
15% tax is
60,000 * 15/100
= 9000
so total money is 60000 - 9000
= 51000
-3 + r > 4 OR r + 1 < -1
PLEASE HELP
1) - 3 + r > 4
=》r > 4 + 3
=》r > 7
2) r + 1 < -1
=》r < -1 - 1
=》r < -2
_______
꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂
Answer:
[tex]\sf -3 + r > 4[/tex]
[tex]\sf -3+r+3>4+3[/tex]
[tex]\boxed{\sf r>7}[/tex]
_______________
[tex]\sf r + 1 < -1[/tex]
[tex]\sf r+1-1<-1-1[/tex]
[tex]\boxed{\sf r<-2}[/tex]
_______________
Simplify the following expression.
77.63 + 8.6
A.
78.49
B.
16.363
C.
163.63
D.
86.23
Answer:
D
Step-by-step explanation:
77.63
+08.60
=86.23
Remember to line up the decimals.
Hope this helps!
Graph the system of equations. Then determine whether the system has no solution, one solution, or infinitely many solutions. If the system has one solution, name it.
y=2x+1
y=x-2
one solution; (–3, –5)
infinitely many
no solution
one solution; (–5, –3)
Answer:
y=11-2x x + y =15
4x − y=7 and 2x − y=15 all have one solution
x=12 − 3y 2x + y=7
3x + 9y=24 and -4x=2y + 14 have no solution
you can just put the rest in infinite solutions
Step-by-step explanation:
What is the area of this tile?
Answer:
Area: 9 in.²
Step-by-step explanation:
Area of square: side²
=> Area of Square tile: 3²
=> 9 in.²
Hoped this helped.
Answer:
9
Step-by-step explanation:
To find the area of a square, multiply both sides.
3*3=9
please help i dont understand this!
Answer:
Pmt Amt $12.50 $23.50 $64.00 $82.00
Fee $0.25 $0.47 $1.28 $1.64
Step-by-step explanation:
The top line is the payment amount.
The bottom line is the 2% fee.
Let's do the middle columns first.
For any payment amount, the fee is 2%.
To find a percent of a number, change the percent to a decimal by moving the decimal point of the percent to places to the left, and multiply the decimal by the number.
2% as a decimal is 0.02
To find 2% of a number, multiply 0.02 by the number.
The second column has payment amount of $23.50
We need to find 2% of $23.50
2% of $23.50 = 0.02 × $23.50 = $0.47
The third column has payment amount of $64.00
We need to find 2% of $64.00
2% of $64.00 = 0.02 × $64.00 = $1.28
Now we do the first and 4th columns. Here we know the fee, and we are looking for the payment amount.
Let the amount be x.
The fee is 2% of x, so the fee is
0.02x
We set the expression equal to the actual fee and solve for x.
The first column has a fee of $0.25
0.02x = $0.25
x = $0.25/0.02
x = $12.50
The 4th column has a fee of $1.64
0.02x = $1.64
x = $1.64/0.02
x = $82
Answer:
Pmt Amt $12.50 $23.50 $64.00 $82.00
Fee $0.25 $0.47 $1.28 $1.64
Which postulate or theorem proves that these two triangles are
congruent?
O ASA Congruence Postulate
O AAS Congruence Theorem
O HL Congruence Theorem
O SAS Congruence Postulateo
Answer: O AAS Congruence Theorem is your answer
Step-by-step explanation: plz give brainliest
solve pls brainliest
Answer:
1 = A 3 = b 4 = c
Step-by-step explanation:
I folded, trust me
Answer:
1 =a 2=d 3=b 4=c
Step-by-step explanation:
Khloe invested $11,000 in an account paying an interest rate of 4.8% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest ten dollars, would be in the account after 17 years?
Answer:
24,880
Step-by-step explanation:
A= where P is the initial amount, r is the intrest rate as a decimal fraction, and t is the time in years. Here we have:
A= 11,000e(0.048x17) = 24,875.80
round and you get 24,880
i hope this helps
I’m working on 3 and 4 only maybe if I can have some explanation so I can understand and do more of these next week.
4.b.
Answer: See below.
Step-by-step explanation:
For the equation f(x) = 2x3.a. f(6) means use x = 6 in the equation f(x) = 2x
so f(6) would be f(6)= 2(6)
f(6) = 12
3.b. f(-11) = 2(-11)
f(-11) = -22
3.c. f(2.75) = 2(2.75)
f(2.75) = 5.5
3.d. This is turned around. We are told f(x)=20, so what would x need to be for f(x) to be 20? Since f(x) = 2x, we can say 20 = 2x. Therefore x = 10
f(10) = 20
The rest of (3) are solved in the same fasion.h
For the equation f(x)= 5x+50
4.a. f(7) = 5(7)+50
f(7) = 85
4.b. f(-12)
f(-12) = 5*(-12)+50
f(-12) = -60
Continue in the same fashion for these types of problems.
Solve the equation. Enter your answer in the box. V27
a sum of money at simple interest doubles itself in 10 years .Find the rate percent per annum
Answer:
Rate = 100/10 = 10%. ∴ The rate of interest is 10%. ∴ The rate of interest is 10%.
If you use front-end estimation, which is the best choice for 102.3 divided by 23.8?
o A. 3
o B. 4
o C. 5
o D. 6
Answer: Answer is B
Step-by-step explanation:
102.3 divided by 23.8 = 4.30 = 4
80 POINTS!!! HELP ASAP!!!!
Select the correct answer.
Which statement is true about the effects of the transformations on the graph of function f to obtain the graph of function g.
g(x) = f(x − 3) + 4
A.
The graph of function f is shifted right 3 units and down 4 units.
B.
The graph of function f is shifted right 3 units and up 4 units.
C.
The graph of function f is shifted left 3 units and down 4 units.
D.
The graph of function f is shifted left 3 units and up 4 units.
Answer:
its c
Step-by-step explanation:
Answer:
The answer is B
Step-by-step explanation: shifted right 3 units and up 4 units.
a movie theater can seat 200 people. for one show 85 people are in the theater already. solve the inequality to find how many more people can attend this show
200-85=115 will be the answer.
Find the perimeter. Simplify your answer.
Answer:
Perimeter = 24p + 17
Step-by-step explanation:
Perimeter = the sum of the sides of the figure.
Perimeter = (7p + 9) + (10p - 1) + (7p + 9)
Perimeter = (7p + 10p + 7p) + (9 - 1 + 9)
Perimeter = 24p + 17
Answer:
24p+17
Step-by-step explanation:
Perimeter of triangle = 2(7p+9)+(10p-1)
= 14p+18+10p-1
= 24p+17
Find the missing value given the points and slope.
(x,1) and(4,6)
m=−5
Answer:
x = 5
Step-by-step explanation:
yeah-ya...... right?
Step-by-step explanation:
the slope is the ratio y change/ x change.
it is -5 here, that means -5/1.
we see in the points that y changes +5 units (from 1 to 6). so, to get a negative slope, the x change must be negative then (and must be -1, so that we still get the slope of -5/1).
in order for the x change to be -1 when going from point 1 to point 2, the starting x of point 1 must be 4 + 1 = 5.
so, point 1 is (5, 1).
point 2 is a indicated (4, 6).
solve for x
3x/6 + 1 = 7
Calculate the average rate of change of the function f(x) = mx + b over the interval 2 ≤ x ≤ 13.
A) 1
B)
11
C) m
D) b
Answer:
m
Step-by-step explanation:
The slope of a line is constant. This means no matter the two points on the line that you use to calculate the slope you will get the same number for the slope. Your equation is in slope-intercept form, y=mx+b where m is slope and b is y-intercept. So your equation is in that exact form with the same use of constant numbers m and b where m is slope and b is y-intercept.
So the answer is m.
However, we could use slope formula = change in y divided by change in x.
Change in y from x=2 to x=13 is [(m(13)+b)-m(2)+b)]=13m+b-2m-b=13m-2m+b-b=11m+0=11m.
Change in x is 13-2=11.
So the slope is 11m/11=m.
Use the slope formula and state what is the slope of a line with the following two points: (-2, 7) and (8, -9)?
Answer:
m = -8/5
Step-by-step explanation:
[tex]m=\frac{-9-7}{8-(-2)} =\frac{-16}{10} =-\frac{8}{5}[/tex]
Hope this helps
Find n. 36 ÷ n = 4 Need this quick
[tex]\rule{300}{3}[/tex]
[tex]\text{Hi!}[/tex]
To identify which number is "n", we'll need to divide the numbers that we DO know. For instance:
[tex]\text{36}[/tex] ÷ [tex]\text{4}[/tex] = [tex]\text{9}[/tex]
[tex]\boxed{\text{9}}[/tex]
[tex]\rule{300}{3}[/tex]
help me please!!!!!!!!!!!
Answer:
I did mostly everything for you bestiieee on the pictureee :3
Step-by-step explanation:
hope this helped :3
:3 byeeeeeeeeeee
Please help. I'm not really good at these kind of problems. Working alone, Dan can do a certain job in three hours and Stan can do the same job in two hours. At these rates, how long would it take Dan and Stan to do this job working together?
Answer: The answer is it would take Dan and Stan 1 hour if they work together, because 3-2=1, so make those hours and you have 1 hour.
Hope I helped:)
On the coordinate plane below, what is the length of AB? A coordinate plane is shown with the following points A at negative 7, 4; B at 8, 4; C at 8, negative 3; D at negative 7, negative 3. All points are connected to create a rectangle. 7 units 8 units 15 units 16 units
Answer:c
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
1) A butcher has an annual income of $58,612. The income tax the butcher has to pay is 7%. What is the amount of income tax in dollar and cents the butcher has to pay? A) $3,108.53 B) $3,712.66 C) $4,102.84 D) $4,364.79
Answer:
C. $4,102.84
The amount of income tax in dollars and cents the butcher has to pay if A butcher has an annual income of $58,612 is $4102.84 so, option C is correct.
What is the percentage?The percentage is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one-hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
Given:
A butcher has an annual income of $58,612,
The tax = 7%,
Calculate the amount of the tax as shown below,
The amount of the tax = 7% of $58,612
The amount of the tax = 7 / 100 × 58612
The amount of the tax = 0.07 × 58612
The amount of the tax = 4102.84
Thus, the amount of tax is $4102.84.
To know more about percentages:
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The perimeter of the table shown is 16 feet. Write an equation in the form px+q=r to solve for x.
p = 2
q = 6
r = 16
x = 5 feet
Step-by-step explanation:
The perimeter of the rectangle is
In your case,
Width = 3 feet
Length = x feet
So, the perimeter is
Since the perimeter is 16 feet, we have
Hence,
p = 2
q = 6
r = 16
Solve this equation for x:
You deposit $5000 into a savings
account. If you cam a simple
interest rate of 3%, how much
interest will you earn after 5 years
Please help! WILL MARK BRAINLIEST
Answer:
50
Step-by-step explanation:
Complete the statement with always, sometimes, or never.
The terms of a polynomial are ________ monomials.
Answer:
always
Step-by-step explanation:
The terms of a polynomial are _always_ monomials.
A polynomial is a sum of monomials.
Rodrigo is taking a road trip. He plans to drive 2,471 miles, with an average of 230 miles per day.
Which equation represents Rodrigo's remaining miles, y, in terms of the number of days, x?
y=2,471x−230y is equal to 2 comma 471 x minus 230
y=−230x+2,471y is equal to negative 230 x plus 2 comma 471
y=2,471x+230y is equal to 2 comma 471 x plus 230
y=230x+2,471y is equal to 230 x plus 2 comma 471
Answer:
y= 2,471x - 230y because each day he travels the same average distance of 230 miles
Answer:
230 miles that is the answer