Answers
Answer:
Slope is 1/2
Step-by-step explanation:
Use the slope formula. Say S = the 1st point and T = the 2nd point.
m = 20 - 10 10 1
------------ = ----------- = ---
20 - 0 20 2
The equation for slope is also y = mx + b
m is the slope, b is the y-intercept.
Therefore, if you look at the 1st choice, you can see that 1/2 is in the place of m, meaning that 1/2 is the slope of line ST
I dunno how to do the other way
Related Questions
4x+4y=4
3x+4y=10
Solve for elimination
Answers
Answer:
The solution is x=-6 and y=7
Step-by-step explanation:
Given equations are:
[tex]4x+4y =4\\3x+4y = 10[/tex]
In elimination method, the co-efficient of one of the variables are equated so that one variable can be eliminated by adding or subtracting the equations
In the given system of equations, the co-efficient of y is already same i.e. 4 so we only have to subtract the equations
Subtracting equation 2 from equation 1
[tex]4x+4y-(3x+4y) = 4-10\\4x+4y-3x-4y = -6\\4x-3x = -6\\x = -6[/tex]
Putting x = -6 in equation 1
[tex]4(-6)+4y = 4\\-24+4y = 4\\4y = 4+24\\4y = 28\\\frac{4y}{4} = \frac{28}{4}\\y = 7[/tex]
Hence
The solution is x=-6 and y=7
4. As shown in Figure 5.111 to the right if the
two small semicircles, each of radius 1 unit
with centres O' and O'' are contained in the
bigger semi-circle with center O, So that
O', O and O" are on the same line, then
what is the area of the shaded part?
Answers
Answer:
Area of the shaded part is 3.14 square unit.
Step-by-step explanation:
Area of the shaded part = Area of large semicircle - (Area of two small semi circles)
Area of large semicircle with center O = [tex]\frac{1}{2}(\pi r^2)[/tex]
= [tex]\frac{1}{2}\pi (2)^{2}[/tex]
= 2π
Area of semicircle with center O' = [tex]\frac{1}{2}\pi (1)^2[/tex]
= [tex]\frac{\pi }{2}[/tex]
Area of semicircle with center O" = [tex]\frac{\pi }{2}[/tex]
Now substitute these values in the formula,
Area of shaded part = [tex]2\pi - (\frac{\pi }{2}+\frac{\pi }{2})[/tex]
= [tex]\pi[/tex]
= 3.14 square unit
Area of the shaded part is 3.14 square unit.
Jose bought 1.5 pound of apples for $3.60. how much would 3/4 of a pound apples cost?
Enter your answer in the box
Answers
How do you solve (X-2)^1/4=5
Answers
Answer:
x=22
Step-by-step explanation:
(x-2)^1 =5 Anything to the 1st power is 1 Multiply both sides by 4
x-2=20 Move the constant (20) to the right and change its
x=20+2 sign
x=22
Let x denote the average number of hours per week that a student at Happy High School spends doing homework. Suppose the frequency distribution of x is normal (i.E., symmetrical and bell-shaped) with a mean of 3.4 hrs. And a standard deviation of 2.6 hrs. What percentage of the students at Happy High spend an average of less than 6 hours per week doing homework?
Answers
Answer:
0.84134
Step-by-step explanation:
Given that:
Mean = 3.4 hours
Standard deviation (s) = 2.6 hours
Percentage of students that spend less than 6 hours doing homework
P(x < 6)
Using the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (6 - 3.4) / 2.6
Z = 2.6 / 2.6
Z = 1
p(Z < 1) = 0.84134 ( Z probability calculator)
The percentage of the students at Happy High spends an average of less than 6 hours per week doing homework is 0.84134
What is the slope of the line on the graph
Answers
Answer:
Step-by-step explanation:
-2/6=-1/3
-1/3 is the slope.
formula is rise/run
the exchange rate in london is £1 = 1.14 euros
the exchange rate in paris is 1 euro = £0.86
haley wants to change some pounds into euros
in which of those cities would haley get the most euros?
thanks for your time, it is much appreciated <33
Answers
Answer:
London
Step-by-step explanation:
Euro= 1.14 x 5
5.70
$50.25 with buy one get one 50% off (SHOW WORK)
Answers
Answer:
i dont know if this is to answer buying 2
$75.74 for 2
Step-by-step explanation:
50.25*1.5=75.735
Answer:
25%
Step-by-step explanation:
because whats 50%-50%=0% so there's 25% left.
Which triangle congruence is this a picture of?
SSS
SAS
AAS
HL
Answers
Answer:
sas
Step-by-step explanation:
Answer:
SAS
Step-by-step explanation:
SAS
The blue shape is a dilation of the black shape. What is the scale factor of the dilation?
Answers
Answer:
Scale Factor (Dilation) The scale factor in the dilation of a mathematical object determines how much larger or smaller the image will be (compared to the original object). When the absolute value of the scale factor is greater than one, an expansion occurs.
Step-by-step explanation:
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −9
0 −1
1 7
g(x)
g(x) = 3x − 2
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
HELP ME PLSSSSS I WILL GIVE YOU 100 POINTS!!!!!!!
Answers
Step-by-step explanation:
First we find the slope of f(x):
When x increases by 1, f(x) increases by 8. Slope of f(x) = 8/1 = 8.
Slope of g(x) = Coefficient of x = 3.
Therefore the slope of f(x) is greater than the slope of g(x).
When x = 0, f(x) = -1 (given ii the table) Therefore the y-intercept of f(x) is -1.
Y-intercept of g(x) = Constant term = -2.
Since -1 > -2, f(x) have a greater y-intercept.
Sam typed 420 words in 10 minutes. If he continues to type at this rate, how many words will he have typed in 3 hours? Group of answer choices
Answers
Answer:
7,560 words were typed in 3 hours.
Q2) Tyler deposited $300 into his bank account. He then wrote a check for
$150. How much money is in his account now?
Answers
Answer:
150
Step-by-step explanation:
300-150
I was wondering if anyone had the answer key to the Gina Wilson, Unit 7: Polygon and Quadrilaterals Unit Test, it is one of our assignments instead of some big final.
Answers
Answer:
um sorry i wish i could help but mabye post a specfic
question Step-by-step explanation:
Angela transfers 15% of each paycheck she received into her savings account. If she transferred $54 into her savings account last week, how much did she earn on that paycheck? Show your work using a model, proportion or equation.
Answers
Answer:
She earned $360 on that paycheck.
Step-by-step explanation:
From the information given, you know that Angela transfers 15% of each paycheck and that she transferred $54 last week. With this, you can say that the amount she earned multiply for 15% is equal to 54, which you can express with the following equation:
0.15x=54, where x is the amount she earned on that paycheck.
Now, you can solve for x:
x=54/0.15
x=360
According to this, the answer is that she earned $360 on that paycheck.
A mixture is made with 45 ounces of a 10% saline solution and $x$ ounces of a 70% saline solution. The resulting mixture is a 25% saline solution. What is the value of $x$
Answers
Answer:
x = 15 ounces
Step-by-step explanation:
A mixture is made with two types of solutions.
Solution A - 45 ounces of 10% saline solution
Solution B - x ounces of 70% saline solution
Resulting mixture - (x + 45) ounces of 25% saline solution
To get the value of x, equation will be,
(45 × 0.10) + (x × 0.70) = (x + 45) × 0.25
4.5 + 0.70x = 0.25x + 11.25
0.25x - 0.70x = 4.5 - 11.25
-0.45x = -6.75
x = [tex]\frac{6.75}{0.45}[/tex]
x = 15 ounces
Last one for tonight. This really confused me. Please help.
Answers
Answer:
In the top green thing goes X in the bottom one it goes Y
X: 1,2,3,4,5
Y: 20, 28, 36, 46, 52
Step-by-step explanation:
Help I give 20 points answer ASAP
Answers
Answer:
-1
Step-by-step explanation:
Can anyone help me with this question??
Answers
Answer:
The asnwer is 83.6 :)
Step-by-step explanation:
7.6x11=83.6
Answer:
i think its B .-.
Step-by-step explanation:
the other numbers are less than the ones up above
The product of 15 and a number x is −75.
Answers
Answer:
the solution is in the figure
the number is -5
Three friends share the total cost of a game. Joe pays 30%, Mike pays , and Tony pays the rest.
Which of the following is true?
Tony paid the most.
Mike paid the most.
They all paid the same.
Joe paid the most.
Answers
Answer:
tony paid most (im pretty sure tony but if not tony its mike who paid most)
Step-by-step explanation:
Answer: B. Mike paid the most.
Hope this helps!
Joshua had two-sevenths of all the goals scored by is soccer team. His team scored 28 goals this past season. How many goals did the rest of the team score? 1 point
Answers
Answer:
Rest of the team= 20 goals
Step-by-step explanation:
Giving the following information:
Joshua= (2/7)
His team scored 28 goals this past season.
First, we determine hoy many goals Joshua score:
Joshua= (2/7)*28
Joshua= 8 goals
Now, the rest of the team:
Rest of the team= 28 - 8
Rest of the team= 20 goals
Alexis bought 2 bags of apples for the fruit salad for her party. Each bag contained 13 apples. If she cuts each apple into 8 pieces, how many apple pieces would she have?
Answers
Answer:
13*8=104
104*2=
208
Step-by-step explanation:
plsss need help!!! will give brainliest !!!
the x values in the table for f(x) were multiplied by -1 to create the table for g(x).what is the relationship between the graphs of the two functions.
Answers
Answer:
The relationship between the graphs of the two functions is "They are reflections of each other across the y-axis" ⇒ B
Step-by-step explanation:
If the function f(x) reflected across the x-axis, then the new function g(x) = - f(x), which means the signs of the y-coordinates of the points on f(x) are opposite in g(x)If the function f(x) reflected across the y-axis, then the new function g(x) = f(-x), which means the signs of the x-coordinates of the points on f(x) are opposite in g(x)∵ The points on f(x) are (-2, -31), (-1, 0), (1, 2), (2, 33)
∵ The points on g(x) are (2, 3), (1, 0), (-1, 2), (-2, 33)
∵ All x-coordinates on f(x) multiplied by -1 to get the x-coordinates of g(x)
→ By using the 2nd rule above
∴ g(x) is the image of f(x) after reflection across the y-axis
∴ The relationship between the graphs of the two functions is
"They are reflections of each other across the y-axis"
Write the equation of the line that connects the set of data points!helppp
Answers
Given:
The set of data points on the graph.
To find:
The equation of line that connects the set of data points.
Solution:
From the given graph it is clear that the data points are (20,40), (35,50), (50,60), (65,70).
If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Let as consider the line passes through (20,40) and (50,60), then the equation of line is
[tex]y-40=\dfrac{60-40}{50-20}(x-20)[/tex]
[tex]y-40=\dfrac{20}{30}(x-20)[/tex]
[tex]y-40=\dfrac{2}{3}(x-20)[/tex]
Multiply both sides by 3.
[tex]3(y-40)=2(x-20)[/tex]
[tex]3y-120=2x-40[/tex]
Isolate variable terms.
[tex]-2x+3y=120-40[/tex]
[tex]-2x+3y=80[/tex]
Therefore, the standard form of the required line is [tex]-2x+3y=80[/tex].
a-17.9=32.4
i don't know the answer please help
Answers
Step-by-step explanation:
a-17.9=32.4
a=32.4+16.9
a=50.3
An angle measures 7.4° less than the measure of its complementary angle. What is the measure of each angle?
Answers
Answer:
41.3° and 48.7°
Step-by-step explanation:
Complementary angles are angles with the sum of 90°
if one of the angle is 7.4° less than other
(90 - 7.4) ÷ 2 = 41.3° is the measure of smaller angle and
41.3 + 7.4 = 48.7° is the measure of bigger angle
6. Compare the line passing through the points (-2, -9) and (4, 6) with the line given by the equation
y=2/5x-4.
А They have the same slope.
B They have the same x-intercept.
с The two lines are
perpendicular.
D They have the same y-intercept.
Answers
(6+9)/(4+2) = 15/6 = 5/2
Y = 5/2x + b
-9 = 5/2(-2) + b
-9 = -5 + b, b = -4
Same y intercept
Solution: D
Is (T60.-6> 0 Ry_)(AABC)graphed correctly?
5
4
2
1
O A. yes
O B. no
Answers
What are the coordinates of the equation 16x + 8y = 24
Answers
Answer: (0,3) (1.5,0)
Step-by-step explanation:
The coordinates of the equation 16x + 8y = 24 are (0,3) and (1.5,0).