Answer:
D.
Step-by-step explanation:
From the figure, we have
The coordinates of the point F are: (-4,1).
The coordinates of the point G are: (0,-2)
The coordinates of the point J are: (0,4) and
The coordinates of the point H are: (-4,-2).
Now, the slope of the line FG is :
S=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}S=
x
2
−x
1
y
2
−y
1
S=\frac{-2-1}{0+4}S=
0+4
−2−1
S=\frac{-3}{4}S=
4
−3
And, the slope of the line HJ is:
S=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}S=
x
2
−x
1
y
2
−y
1
S=\frac{-2-4}{-4-0}S=
−4−0
−2−4
S=\frac{3}{2}S=
2
3
Now, the slope of FG=\frac{1}{slope of HJ}theslopeofFG=
slopeofHJ
1
\frac{-3}{4}=\frac{2}{3}
4
−3
=
3
2
which is not possible, thus They are not perpendicular because their slopes are not negative reciprocals.
PLEASE PLEASE PLEASE HELP ASAP
Write an equation in slope-intercept form of a line with a y-intercept of 11 and slope the same as the line whose equation is y = -3x + 9
answer:
y=11x+11?
Step-by-step explanation:
from what i got from the equation it sounds like this might be the answer doory ^^'
Find two numbers whose sum is 45 and whose difference is 19.
Answer: 32 and 13
Step-by-step explanation:
32+13=45
32-13=19
Answer:
32 and 13
Step-by-step explanation:
12. The probability a basketball player making a free-throw
is .84, what are the odds against making a free-throw?
Answer:
The odds against making a free throw are: 0.1905 or 0.16:0.84
Step-by-step explanation:
The odds can be categorized into two categories
Odds-againstOdds-in favourThe odds against is the ratio of probability of failure to probability of success.
Given
Probability of making a free throw = P = 0.84
Probability of not making a free throw = Q = 1-P = 1-0.84 = 0.16
The formula for odds-against is:
[tex]Odds-against = \frac{0.16}{0.84}\\= 0.19047..\\=0.1905[/tex]
Hence,
The odds against making a free throw are: 0.1905 or 0.16:0.84
-3x+2y=-39 and 5x+4y=21
Answer:
X= 9
Y = -6
Step-by-step explanation:
first of all setting up the equation and solve it like a system of linear equations
5x+4y=21
-3x+2y=-39
then multiply -2 on the entire second equation
5x+4y = 21
6x-4y= 78
then eliminate the 4ys and you get
11x = 99
x = 9
lastly subsititue the 9 back into one of the original equations
5(9) + 4y =21
45 + 4y = 21
4y = -24
y = -6
Answer:
-3x+2y=-39
2y=-39+3x
y=-39+3x÷2 equation 1
5x+4y=21 equation 2
5x+4(-39+3x)÷2=21
5x+2(-39+3x)=21
5x+(-78)+6x=21
5x-78+6x=21
5x+6x-78=21
11x-78=21
11x=21+78
11x=99
x=99÷11
x=9
putting value of equation 2 in equation 1
y=-39+3x÷2
y=-39+3×9÷2
y=-39+27÷2
y=-12÷2
y=-6
x=9 and y=-6 answer
hope this may help you !!!!
For questions 3 - 5, use the FOIL method to find the product of the binomials.
3. (2x+3)(x + 1)
4. (x - 5)(3x + 2)
5. (x2 + 2)(5x + 1)
Please make it a easy way to understand.
Answer:
Step-by-step explanation:
Sophie buys x packages of graph paper for $2.55 each (tax included). She pays with a $20 bill.
Write an algebraic expression to represent the amount of change the cashier should give back to Sophie.
Answer:
x=$20/$2.55.
Step-by-step explanation:
if each package is $2.55 then and it cost $20 then you will have to divide the numbers wich will give u x
Answer:
20 - 2.55x
Step-by-step explanation:
20 is the dollar bill Sophie bought the packages with, x represents the number of packages bought and 2.55 is the price for each, so by subtracting 20 by the cost of the total packages results in the amount of change the cashier should give back to Sophie.
For example, if Sophie bought 3 packages of graph paper with a $20 bill the cashier should give back to Sophie $12.35.
20 - 2.55 (3)
20 - 7.65
12.35
hope this helps!
Use intercepts to graph the line described by the equation 5x − 5y = 10.
What is the slope of the line?
a. 3
b. 1/3
c. -1/3
d. -3
Answer:
B. 1/3
Step-by-step explanation:
If you look at points (-3,0) and point (0,1). Then you would see the it would take one unit up and 3 units right this would make the slope be 1/3.
Please help!!!!!!!!!!
Answer:
x=81
Step-by-step explanation:
I am 100% sure you can go with it
Graph the piecewise function.
What is the equation for line D?
a. y = 2.5x
b. y = x + 10
c. y = -x + 10
d. y = -x + 60
Answer:
D
Step-by-step explanation:
HELPPPP
Evaluate the expression for x = 3 and y = 4.
A) -3/2
B) -9/16
C) -3/A
D)-914
Answer:
D) -9/4
Step-by-step explanation:
-4(3)³/3(4)²
-4(27)/3(16)
-108/48
divides both by 12
- 9/4
In triangleABC, a = 1.4 cm, b = 1.5 cm and c=1.5 cm. Find the measure of angleA to the nearest 10th of a degree.
Answer:55.6
Step-by-step explanation:
Answer:
55.6
Step-by-step explanation:
The value 6 is 15% of what amount?
O A) 40
O B) 0.9
O C) 90
OD) 0.4
1. Find the slope of a line that passes through (-2,-3) and (1,1).
2. For the equation-4=8x, what is the constant of variation
3. Suppose y varies directly with x, and y=24 when x=8. What is the value of y when x=10
Answer:
1:
m=4/3
2:
-2
3:
First, you want to set up a proportion.
8/24 = 10/y
Cross multiply to get
240 = 8y, then divide 8 from both sides to get y = 30.
I need help someone please
Answer: [tex]\frac{6}{2}[/tex]
Step-by-step explanation:
1. Use this [tex]\frac{f(b)-f(a)}{b-a}[/tex] to find the average rate of change
2. Average rate of change = [tex]\frac{f(8)-f(6)}{8-6}[/tex]
3. [tex]f(8) = - 4[/tex] and [tex]f(6) = -10[/tex] (To find these you will need to look at the points on the graph. So the points (8,-4) and (6,-10))
4. Replace -4 to f(8) and -10 to f(6)
5. So it will look like[tex]\frac{-4-(-10)}{8-6}[/tex]
6. Solve [tex]\frac{6}{2}[/tex]
20. Given f(x) = 2x + 9, if f(x) = 15, find x.
Answer:
the answer is located in the screenshot that is attached.
Step-by-step explanation:
The work is also in the screenshot attached. Hoped this helped!
The value of x if f(x) = 15 in the given function is 3
From the question,
We were given the function f(x) = 2x + 9
To determine the value of x if f(x) = 15, we will put f(x) to be equals to 15 and then solve for x in the equation
That is,
f(x) = 2x + 9
Since f(x) = 15
∴ 15 = 2x + 9
Now, to solve the above equation,
First, subtract 9 from both sides
That is,
15 - 9 = 2x +9 -9
6 = 2x
Then, we can write that
2x = 6
∴ x = 6 ÷ 2
x = 3
Hence, the value of x if f(x) = 15 in the given function is 3
Learn more here: https://brainly.com/question/19872526
Which of these tables represents a function?
Please help !!!!!!!!!
Answer:
4,5
Step-by-step explanation:
I think it is 4,5. It says reflection of it across the line, and it is in the 4th quadrent, so that -5 will become a positive 5, and the 4 will stay the same.
Alana makes and sells homemade bracelets. She made a profit of $65 last week. This week, she donated some bracelets to charity. Her profit at the end of this week can be represented by -$25. Write a subtraction expression and an addition expression to represent Alana’s total profit for two weeks combined.
Answer:
$65 + $(-25) = $40
$65 - $25 = $40
Step-by-step explanation:
Profit made last week = $65
Profit made this week = - $25
Addition expression for her profit over the two weeks
Last week profit + this week's profit:
$65 + $(-25) = $40
Subtraction expression for her profit over the two weeks :
$65 - $25 = $40
What prime is 4 greater than a perfect square and 7 less than the next perfect square?
Answer:
29
Step-by-step explanation:
The squares cannot be very big. For example the difference between 10^ and 11^2 = 100 to 121 which is a difference of 21.
What you are talking about is x + 4 prime + 7 next square.
Write the squares
1
4
9
16
25
36
add 4 to get to the prime, add 7 to get to the next square. That's 12
1 and 4 have a difference of 3 too small
4 and 9 have a difference of 5 too small
9 and 16 have a difference of 7 which is too small
16 and 25 have a difference of 9 which just a little too small.
25 and 36 has a difference of 11. Just right
25 + 4 = 29
29 + 7 = 36
Just right.
Carrie earns $8.50 per hour for tutoring her little brother. How many hours must Carrie tutor to earn $408?
Answer:
48 hours
Step-by-step explanation:
The number of hours that Carrie must tutor to earn $408 will be 48 hours.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Carrie earns $8.50 per hour for tutoring her little brother.
Let x be the number of hours. Then the equation is given as,
8.50x = 408
Simplify the equation, then we have
x = 408 / 8.50
x = 48 hours
The number of hours that Carrie must tutor to earn $408 will be 48 hours.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ2
Mr.Turner invested $8,000 in an account for his daughter’s college education. The account pays 5% interest, compounded yearly. How much will Mr.Turner have in the account after 4 years to the nearest dollar?
Answer:
$9,724.05
Step-by-step explanation:
8000(1+.05)^4= 9724.05
sry if im wrong :)
The amount after 4 years will be equal to $9,724.05
What is compound interest?The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest.
Compound interest is the interest levied on the interest. The formula for the calculation of compound interest is given as:-
Given that Mr.Turner invested $8,000 in an account for his daughter’s college education. The account pays 5% interest, compounded yearly.
The amount after 4 years will be calculated as:-
[tex]A = P ( 1 + \dfrac{r}{100})^{nt}[/tex]
[tex]A = 8000 ( 1 + \dfrac{5}{100})^{4}[/tex]
A = 9724.05
Therefore, the amount after 4 years will be equal to $9,724.05.
To know more about Compound interest follow
https://brainly.com/question/24924853
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simplify 3^(5)*3^(4)
What is the equivalent fraction for 2/3??
c. 4/6
This is the answer
Answer:
C. 4/6
Step-by-step explanation:
2*2=4
3*2=6
4/6
Need some help here please.
Answer:
C
Step-by-step explanation:
Begin by isolating y
-6y = - x - 1
Divide everything by -6
y = -x/-6 - 1/-6
y = x/6 + 1/6
Now you want the perpendicular
m1 * m2 = - 1
m1 = 1/6
1/6 * m2 = -1
multiply by 6
m2 = - 6
That's C
How would I create a graph for this equation? The equation is c=4.95+3.99b
Answer:
C is your y intercept 3.99b is your slope
Step-by-step explanation:
You decide to join a tennis class. The initial entrance fee is
$100, and a $10 fee every month you want to take the class.
How much will it cost for five months?
Given :
Initial entrance fee of tennis class, E = $100 .
Fee of every month, F = $10 .
To Find :
How much will it cost for five months.
Solution :
Let, number of months are n and cost of class is y.
So, linear equation is given by :
y = 10n + 100 ...1)
To know the cost of 5 month, putting value of n = 5 in equation 1) we get :
y = ( 10×5) + 100
y = 50 + 100
y = $150
Therefore, the cost of five month fee in tennis class is $150.
Hence, this is the required solution.
please help.it’s the second question. the one in the middle
Answer:
1,024
Step-by-step explanation:
Answer:
past number gets multiplied by 2 and so on
Step-by-step explanation:
2,4,8,16,32,64,128,256,512,1024
Find the total surface area of the following
cone. Leave your answer in terms of m.
12 cm
5 cm
Hint: Surface Area of a Cone = url + B
Where l = slant height, and B = area of the base
S.A. = [? ]n cm?
Answer:
[tex]S.A.=90\pi~cm^2[/tex]
Step-by-step explanation:
Surface Area of a Cone
Given a cone of base area B and slant height L, the surface area can be calculated with the formula:
[tex]S.A.=\pi rL +B[/tex]
The cone presented in the image has a circular base of radius r=5 cm, thus its base area is:
[tex]B=\pi r^2[/tex]
[tex]B=\pi 5^2[/tex]
[tex]B=25\pi~cm^2[/tex]
The slant height can be calculated as the hypotenuse of a right triangle with legs 5 cm and 12 cm by using Pythatgora's Theorem:
[tex]L^2=5^2+12^2[/tex]
[tex]L^2=25+144=169[/tex]
Taking square roots
[tex]L = \sqrt{169}[/tex]
L = 13 cm
The surface area is:
[tex]S.A.=\pi (5~cm)*13~cm +25\pi~cm^2[/tex]
Operating:
[tex]S.A.=65\pi~cm^2 +25\pi~cm^2[/tex]
[tex]\mathbf{S.A.=90\pi~cm^2}[/tex]
Answer:
90
Step-by-step explanation: