Answer:
y=-x+1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-2)/(2-(-1))
m=-3/(2+1)
m=-3/3
m=-1
y-y1=m(x-x1)
y-2=-1(x-(-1))
y-2=-(x+1)
y=-x-1+2
y=-x+1
(50pts) The distance covered and the time taken by a car are plotted in a graph.
a. Find the slope of the line in the graph.
b. Calculate the distance traveled by the car at the 20th second.
c. Calculate the speed of the car.
Answer:
a=2
b=40m
c=2m/s
Step-by-step explanation:
slope is rise over run so 10/5 simplified is 2/1 or 2
for b just look at the graph at the 20th second
for c you do distance over time so basically the same thing as a 10/5 which is 2m/s
Choose the polynomial that is written in standard form.
−3x5 + 4x3 + 10x2
−8x + 4x4 + 3x3
x4 + 4x3 + 10x4
x6 + 4x3 + 10x7
Answer:
A. −3x⁵ + 4x³ + 10x²Step-by-step explanation:
The standard form means that the terms are ordered from biggest exponent to lowest exponent.Verify the answer options
A. −3x⁵ + 4x³ + 10x²
5, 3, 2 - correct orderB. −8x + 4x⁴ + 3x³
1, 4, 3 - incorrect orderC. x⁴ + 4x³ + 10x⁴
4, 3, 4 - incorrect orderD. x⁶ + 4x³ + 10x⁷
6, 3, 7 - incorrect orderAnswer:
[tex] { - 3x}^{5} + {4x}^{3} + {10x}^{2} [/tex]
Step-by-step explanation:
For a polynomial to be in standard form, it must satify the conditions below:
1) It must not contain like terms
2) The exponents (powers) must be written in descending order
That is, the polynomial must be of the form
[tex]f(x) = {ax}^{n} + {bx}^{n - 1} + {cx}^{n - 2} + . \: . \: . \: . \: . \: mx + n[/tex]
Where a, b, c, m, n, are coefficients/constants
The only option that satifies the above conditions, and follows the pattern f(x) shown is:
[tex]{ - 3x}^{5} + {4x}^{3} + {10x}^{2} [/tex]
Each side of a square piece of plastic is 2 centimeters long. What is the piece of plastic's area?
Answer:
4cm because area is length times width
Step-by-step explanation:
Answer:
4 cm2
Step-by-step explanation:
[tex]area = side {}^{2} = (2cm) {}^{2} = 4cm {}^{2} [/tex]
what is the reason these triangles are congruent
a. SSS
B. SAS
C. not congruent
Answer: SAS
Step-by-step explanation: The angles sides are congruent based on the diagram
136 X 24 in Standard Algorithm
and
245 X 67 in Standard Algorithm
(Please help, I have to turn this in soon)
3264 and 16,415
Step-by-step explanation:
136 x 24= 3264
245 x 67 = 16,415
5/25 convert into a decimal
Answer:
0.2
Step-by-step explanation:
5/25 as a decimal is 0.2.
1/5=0.2
just reduce it to 1/5 and divide it into a decimal
National statistics show that 23% of men smoke and 18.5% of women smoke. A random sample of 175 men indicated that 45 were smokers, and a random sample of 155 women surveyed indicated that 42 smoked. Construct a 98% confidence interval for the true difference in proportions of male and female smokers.
Answer:
98% C.I. = [-0.1270, 0.0994]
Step-by-step explanation:
Here
p1= proportion of men smokers
p1= 45/175= 0.2571
p2= proportion of women smokers
p2= 42/155= 0.2709
1) Choose the significance level ∝= 0.02
2) The formula for confidence interval is
(p1^- p2^)- z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))
and
(p1^- p2^) z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))
3) The z value is 2.05
4) Calculations:
(p1^- p2^)- z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))
Putting the values
= 0.2571-0.2709)(-2.05) sqrt ( 0.2571(1-0.2571)/175+ 0.2709(1-0.2709)/155)
=-0.1270 ( using calculator)
And
(p1^- p2^)z ∝/2sqrt( p1^(1-p1^)/n1 + ( p2^(1-p2^)/n2))
Putting the values
= 0.2571-0.2709)(2.05) sqrt ( 0.2571(1-0.2571)/175+ 0.2709(1-0.2709)/155)
=0.0994 ( using calculator)
and Putting ± 2.05 in the confidence interval formula we get limits (-0.1270, 0.0994)
a fire truck has a ladder that can extend to 120 ft in length. The ladder can be safely raised to the maximum angle of 75 with the horizontal. Disregarding the height of the fire truck itself which is the closest to the maximum height the ladder can safely reach
Answer:
the ladder is 60 feet and the angle is 75 degrees guess and check sin75=x/60
0.9659258263=x/60
57.9555=x
57.96=x
so B
Four rays meet at a common endpoint. Find the value of x. Find the measurement of angle CAD, if angle BAC =60, DAE= 90 and angle BAE= 12x, CAD=3x
Answer:
x = 14
<CAD = 42degrees
Step-by-step explanation:
Since all the rays meet at a point, the sum of all the angles at the point will be 360 degrees, since angle at a point is 360degrees
Taking the sum of all the angles and equating to 360, we will have;
<BAC + <DAE + <BAE + <CAD = 360
60+90+12x+3x = 360
150 + 15x = 360
15x = 360 - 150
15x = 210
x = 210//15
x = 14
Get <CAD
Since <CAD = 3x
<CAD = 3(14)
<CAD = 42 degrees
Hence the measure of angle CAD is 42degrees
The length of a rectangle is 3 less than twice the width. If the area of the rectangle is 20 square inches, what are the dimensions of the rectangle?
Answer:
length is 5
width is 4
Step-by-step explanation:
Find the value of x. Round to the nearest tenth
Answer:
54.8 (rounded to the nearest tenth from 54.76558202)
Step-by-step explanation:
Using the Cosine equation (CAH) you type in a calculator "cos(x) = 4.5/7.8".
This will get you the answer if typed in a calculator and hitting "SOLVE".
Given the diagram, solve for x?
Which of the following transformations result in the object and image being congruent?
A Reflection B Rotation C Enlargement D Translation
Answer:
B) Rotation will result in the object and image being congruent.
Answer:
C Enlargement
Step-by-step explanation:
enlargement because it becomes wider and larger
Use the number line below to determine which of the following answer choices has statements that are all true
Answer: the last one
Step-by-step explanation: B REPRESENTS
-2 ½ . POINT D REPRESENTS 1 ¾ .
1 ¾ is bigger than -2 ½
The answer choice that has the statement that is true about the number line can be seen in the first option.
What is a number line?A number line is a pictorial representation of lines on a calibrated straight line that serves as a basis for expressing real numbers on a straight line.
We should equally note that:
The left-hand side is the negative x-axis and,The right-hand side is the positive x-axis.From the given figures;
Point A lies to the negative axis direction on point scale 4 i.e -4Point D lies extremely to another point scale so we can say it is [tex]\mathbf{1 \dfrac{3}{4}}[/tex]Since 3/4 is roughly 0.75 = 1 + 0.75 = 1.75Therefore, we can conclude that Point A represents -4, Point D represents [tex]\mathbf{1 \dfrac{3}{4}}[/tex] and [tex]\mathbf{1 \dfrac{3}{4}}[/tex] > -4.
Learn more about number line here:
https://brainly.com/question/25230781
HELP PLEASE! QUICK AND EASY POINTS! USE THE IMAGE PROVIDED!!
Brian ate 2/3 of a pizza. His friend, Joseph, ate 1/4 of what was left. How much pizza did Joseph eat?
Answer:
1/12
Steps:
1 - 2/3 = 1/3
1/3 / 4 = 1/3 × 1/4 = 1/12
In how many ways can 7 cars be parked if there are 10 available parking spaces?
Pa sagot po pls :(
Answer:
7/10 is the answer as a fractions
What do you notice when you look at the table of
values?
Pattern
Step-by-step explanation:
I know there's a pattern but there's a cutie watching this rn hey lol
What is the range of the data set shown below?
{ 1, 1, 1, 4, 5, 6, 7, 15}
Answer:
1-15!
Step-by-step explanation:
PLZZZZZZZZZZ HELLLLPPPPPPPPP WILL MARK BRAINLIEST
Answer:
whats the question i dont see nothing
What is the value of x
Answer:
x = 9
y = 5
Step-by-step explanation:
<N and < M are opposite equal sides. So they are equal as well. In addition, the base is equal to the other 2 sides. That means you are dealing with an equilateral triangle. All the angles are equal to 60 degrees.
7x - 3 = 60 degrees Add 3 to both sides
3 3
7x = 63 Divide by 7
x = 63/7
x = 9
Just for the sake of completeness, we'll find y
11y + 5 = 60 Subtract 5 from both sides
-5 -5
11y = 55 Divide by 11
y = 55 /11
y = 5
How can I get someone to stop holding a grudge and mocking me at practice. I would really appreciate the help.
Answer: Well first find out why that person is mocking you or holds a grudge against you. Try talking to that person. If that doesn't work, get a friend to help. To be honest, you can also always just ignore that person, there are many mean people out there.
Step-by-step explanation:
Yes or no? I need help please ✋
Answer:
It is not a function
Step-by-step explanation:
In function, each x-value has only one y-value
Here the x-value of 7 has two y-values of -3 and -1
Question 2 (10 points)
Classify <1 and < 2 using all names that apply.
a Vertical
b Adjacent
C Complementary
d Supplementary
Answer:
B. adjacent and D. supplementary
Simplify the expression
Answer:
(3 x)/(5 x + 2)
Step-by-step explanation:
Simplify the following:
(3 x^2)/(5 x^2 + 2 x)
Hint: | Factor common terms out of 5 x^2 + 2 x.
Factor x out of 5 x^2 + 2 x:
(3 x^2)/(x (5 x + 2))
Hint: | For all exponents, a^n a^m = a^(n + m). Apply this to (3 x^2)/(x (5 x + 2)).
Combine powers. (3 x^2)/(x (5 x + 2)) = (3 x^(2 - 1))/(5 x + 2):
(3 x^(2 - 1))/(5 x + 2)
Hint: | Evaluate 2 - 1.
2 - 1 = 1:
Answer: (3 x)/(5 x + 2)
Answer:
The answer is [tex]\frac{3x}{5x+2}[/tex]
Step-by-step explanation:
1) Factor out the common term x.
[tex]\frac{3x^{2} }{x(5x+2)}[/tex]
2) Simplify.
[tex]\frac{3}{5x+2}[/tex]
Thereofor, the answer is Option D.
Simplify.
8u+9v+3u−5v
11u + 14v
5u + 4v
15uv
11u + 4v
Answer: 11u + 4v
Step-by-step explanation:
8u + 3u = 11u
9v - 5v = 4v
If you are taking a test at 8:30 am and it takes you 2 1/2 hours what time would it be? PLEASE ANSWER
Answer:
11:00
Step-by-step explanation:
This is easier than I thought...
So 8:30+2 is 10:30
...and now we have 1/2 left.
1/2 in this case of time would be 30
So, 10+30+30 would be 10:60
Now all we have to do is simplify it
60 minutes= 1 hour
So...
10:60-60=10
10+1=11
11 AM is the correct answer!
Hope this helps! :D
Joel borrowed $1,512. He was to pay that amount back along with an additional 9% interest. He could only pay back 82% of what he should have. How much did Joel pay back on his loan?
Answer:
$1351.43Step-by-step explanation:
The amount to pay:
$1512 + 9% = $1512*1.09 = $1648.08The amount paid back:
82% of $1648.08 = 0.82*1648.08 = $1351.43My cats thoughts while she is just laying there with her face in my clothes:
Answer:
ADORABLE!!
Step-by-step explanation:
Answer:
lol true thats a fact
Best answer gets brainliest.
Answer:
20 ft
Step-by-step explanation:
the 6 ft persons shadow was reduced by a factor of 4 for the flagpole shadow being 5 ft long just multiply by 4 to get 20 because 20/4=5