Answer:
y = mx + b equals y = the slope of the line(x) + the y-intercept
First find the slope of the line using rise/run, which is 12/-2 so the slope is -6
To find the y-intercept, you need to look for the point where x = 0 (or the point that lies on the y-axis), which is when y = -4 so the equation is:
y = -6x - 4
work out the area of the triangle to 1 decimal place. 10cm, 13cm, 105 degrees
Answer:
Area = 62.8 cm²
Step-by-step explanation:
In the figure attached a triangle has been given with two sides and included angle between them.
Measures of two sides are 10 cm and 13 cm.
Measure of included angle = 105°
Since area of a triangle with two sides (a and b) and included angle (θ) is,
[tex]\text{Area}=\frac{a.b.\text{sin}\theta}{2}[/tex]
= [tex]\frac{10\times13\times \text{sin(105)}}{2}[/tex]
= 62.79
≈ 62.8 cm²
Therefore area of the given triangle is 62.8 cm²
The length plus the width of a rectangle is 10. Let x represent the length. The equation for the area y of the
rectangle is y= x(10- x). The y value of the vertex gives the
value of the
of the rectangle.
Answer:
length of rectangle = 5
width of rectangle = 5
Area of rectangle = 25
Step-by-step explanation:
Since the length of the rectangle is "x", and the value of the area is given by the product of the length "x" times the width "10-x", indeed, the area "y" of the rectangle is given by the equation:
[tex]y=x\,(10-x)=10x-x^2[/tex]
Now, they tell us that the area of the rectangle is such that coincides with the maximum (vertex) of the parabola this quadratic expression represents. So in order to find the dimensions of the rectangle and therefore its area, we find the x-coordinate for the vertex, and from it, the y-coordinate of the vertex, which is the rectangle's actual area.
Recall that the formula for the x of the vertex of a quadratic of the form :
[tex]y=ax^2+bx+c[/tex]
is given by the formula:
[tex]x_{vertex}=-\frac{b}{2\,a}[/tex]
which in our case gives:
[tex]x_{vertex}=-\frac{b}{2\,a}\\x_{vertex}=-\frac{10}{2\,(-1)}\\x_{vertex}=5[/tex]
Therefore, the length of the rectangle is 5, and its width (10-x) is also 5.
The area of the rectangle is therefore the product of these two values: 5 * 5 = 25
Which should coincide with the value we obtain when we replace x by 5 in the area formula:
[tex]y=10x-x^2\\y=50-(5)^2\\y=50-25\\y=25[/tex]
In the volume formula, V = Bh, what does the capital B stand for?
base
area of the base
two times the base
perimeter of the basea
Answer:
B. Area of the Base
Step-by-step explanation:
Hope this helps you guys :D
a)
Factorise fully
2p - 4pq
b)
Factorise
r? - 100
c)
Factorise k2 + 13k + 30
d)
Solve
K + 13k + 30 = 0
a) 2p(1-2q)
b) dunno
c) k(2+13+30)
d) I’m not sure
Answer:
a) 2p(1-2q)
b) don't know what you mean by r?
c) (k+3)(k+10) using the S, P, N method
d) k²+13k+30=0
(I think you meant to write k squared as it makes more sense)
k=2
In a 40% off sale, a dress was £45. Work out the original price
Answer:
40%=45
So, 100%=45*100/40
=112.2
What is the square route of 25
Answer:
The answer to your question is 5.
Step-by-step explanation:
The value of r represents the distance from a point to the pole when plotting that point in polar coordinates. True or False?
Answer:
True, r represents the distance from a point to the pole when plotting that point in polar coordinates.
Step-by-step explanation:
Given: The statement '' The value of r represents the distance from a point to the pole when plotting that point in polar coordinates ''
To state: whether the given statement is true or false
Solution:
In the cartesian coordinate system, any point is represented by the coordinates [tex](x,y)[/tex]
In polar-coordinates system, distance of the point from the origin (pole)(r) and the angle [tex](\theta)[/tex] that the line joining the point to the origin makes with the positive x -axis are used as polar coordinates. Polar coordinates are of form [tex](r,\theta)[/tex]
True, r represents the distance from a point to the pole when plotting that point in polar coordinates.
Answer:
true
Step-by-step explanation:
trust
Helppppppppp pleaseeeeeeeeeee
Answer:
ok
Step-by-step explanation:
Select the correct dates.
The table lists some daily balances in Dora's savings account.
Answer:
May 10th she had the most debt and may 20 she had the most in her bank
Answer:
may 10 and may 20
Step-by-step explanation:
yeahh please give the right answer
Answer:
21
Step-by-step explanation:
The largest x could be is
8+12 > x
21 >x
X must be less than 21
Answer:
a)
Step-by-step explanation:
I use logic and my eyes when i answer these so for sure 8 is not x because x is OBVIOUSLY longer than the side with 8 as its measurement
Issac runs 16 1/4 miles each week. He runs 6 3/8 miles on Sunday and 4 2/5 miles on Tuesday. How many miles does he run on Thursday if it is the only other day that he runs that week?
Answer:
5.225 miles on thursday or 209/40
Step-by-step explanation:
if we make it into decimals he runs 16.25 miles every week. on sunday he runs 6.375 miles and on tuesday it is 4.4. we are going to add what he’s run so far so
6.375 + 4.4 = 10.775 and then we will subtract that from 16.25 to get 5.225 left for thursday
PLEASE SEE PIC BELOW
HELP! 30 pts!
1. Write the point-slope form of the equation of a line with slope 2/5 that passes through the point (-3,-6)
2. Write the slope-intercept form of the equation for a line with slope 1/3 and y-intercept at (0,-2/5)
Answer: y-2=2/5(x-17), y=1/3x-2/5
Step-by-step explanation:
Answer:
1.)y+6=2/5(x+3)
2.)y=1/3x-2/5
Step-by-step explanation:
Sofia surveyed students at her school
about the language they speak at home.
She got these results. Write decimal
equivalents for the fractions and order
the numbers from greatest to least.
english:1/4
Ukrainian: 1/20
Vietnamese:0.02
French: 1/10
Chinese:0.02
other: 0.06
Answer:
English,French,Vietnamese,Chinese,Ukrainian,other
Step-by-step explanation:
so basically the question is asking for us to convert the fractions into decimals and then, order the them from greatest to least
Q:how do you convert a fraction into a decimal?
A: numerator divided by denominator for example if you had to convert 7/9 into a decimal you would do 7 divided by 9!!!
English:1/4 is equivalent to 0.25
Ukrainian:1/20 is equivalent to 0.05
Vietnamese:0.02 is already in decimal form
French:1/10 is equivalent to 0.1
Chinese:0.02 is already in decimal form
Other:0.06 is already in decimal form
Now we got all the fractions converted into decimals
0.25,0.05,0.02,0.1,0.02,0.06
Now we have to put these number from greatest to least
Q:how do we put it in greatest to least?
A: if there are more zeros in the place value its more likely to be a small number for example 0.06 is smaller than 0.3
0.25 is the greatest
0.1 is the second greatest
0.02 is the third greatest
0.02 is the third greatest
0.05 is the 4th greatest
0.06 is the 5th greatest
Now we got them from greatest to least so we match the decimal numbers to the language
Starting from greatest to least is: English,French,Vietnamese,Chinese,Ukrainian,other
pls mark me brainliest
What is the value of the expression, written in standard form? ASAP!
Answer:
200
Step-by-step explanation:
[tex]\dfrac{(6.6\times 10^{-2})}{(3.3\times 10^{-4})}= \\\\\\\dfrac{6.6}{3.3}\times \dfrac{10^{-2}}{10^{-4}}=\\\\\\2\times 10^{-2-(-4)}= \\\\2\times 10^2=\\\\200[/tex]
Hope this helps!
What is BE in the figure?
Answer:
i think its A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
After the bank cashed a check Maureen wrote for $60, her balance was Negative 14 dollars. The equation b + (negative 60) = negative 14 can be used to represent this situation, where b is Maureen’s balance, in dollars, before the check was cashed. Maureen attempted to solve the equation using the steps below. b + (negative 60) = negative 14. Subtract 60 from both sides. B = negative 74. What error, if any, did Maureen make? Maureen’s work is correct, and her original balance was -$74. Maureen should have added 60 to both sides. Maureen should have added 14 to both sides. Maureen made a computational error when she subtracted 14 minus 60.
Answer:
-74
Step-by-step explanation:
Answer: -74
Step-by-step explanation:
Please help! Correct answer only please! I need to finish this assignment by today.
On a residential single lane road there was a wreck that backed up traffic for 4 miles. 70% of the traffic consists of cars and 30% of the traffic consists of trucks. the average distance between vehicles is 3 feet. the average length of a car is 13.5 feet and the average length of a truck is 20 feet. estimate how many vehicles are stuck in the traffic jam.
(hint: there are 5280 feet in 1 mile)
A) 276
B) 896
C) 1172
D) 1412
Need help will give brainliest
Answer:
1) Step 1- Question. The "thing" that you want to know. ...
Step 2-Research. Conduct research. ...
Step 3-Hypothesis. Educated guess or prediction of the outcome experiment.
Step 4-Experiment. Test the hypothesis.
Step 5-Observations.
Step 6-Results/Conclusion. Determine if your hypothesis was correct or not.
Step 7- Communicate.
2) Being able to communicate the relevance and impact of their ideas and discoveries can enhance scientists' ability to secure funding or find a job. It allows them to write better and more comprehensible research papers.
3) 1) People should be treated as autonomous.
2) People with diminished autonomy should be protected.
3) Do no harm.
4) Maximize benefits for participants and minimize risks for participants.
Step-by-step explanation:
Yuron is sketching a scale drawing of a famous painting. The painting is 54 inches wide and 72 inches long. He used a scale factor of Two-thirds to make his sketch. How many inches wide is Yuron’s sketch?
Answer:
Yuron's painting is 36 inches wide.
Step-by-step explanation:
Given that Yuron is sketching a scale drawing of a famous painting which is 54 inches wide and 72 inches long. He used a scale factor of [tex]\frac{2}{3}[/tex] to make his sketch.
We are given to find the width of Yuron’s sketch.
Let, w and w' represents the width of the famous painting and Yuron's painting.
Then, w = 54 inches, w' = ?
We know that the scale factor is defined by
[tex]S=\frac{Length of a side of a dilated figure}{Length of the corresponding side of the original figure}[/tex]
Therefore, we have
[tex]\frac{2}{3} =\frac{Width og Yuron's painting}{Width of the famous painting}[/tex]
[tex]\frac{2}{3} = \frac{w}{w}[/tex]
[tex]\frac{2}{3}=\frac{w}{54}[/tex]
[tex]\frac{2}{3}=\frac{2*54}{3}[/tex]
[tex]w= 36[/tex]
Thus, Yuron's painting is 36 inches wide.
Answer:
Yuron's painting is 36 inches wide.
Step-by-step explanation:
STRUCTURE Write the ratio of the side lengths of the two cubes described in simplest form.
The volumes of the two cubes are 270x cubic inches and 32x2 cubic inches.
The surface areas of the two cubes are 6x4 square feet and 6(x + 1) square feet.
How do you write this number using digits?
five hundred six thousand eight hundred twenty-seven
I need the answer to this question.
Thanks
Which first step for solving the given system using substitution results in an equation without fractions?
-9x4y - 10
-9x+3y3
Answer:
The step to take to avoid fraction is to solve for y in equation 2
Step-by-step explanation:
Given
-9x+ 4y =- 10
-9x+ 3y = 3
Required:
Step for solving using substitution (avoiding fraction)
Let -9x+ 4y =- 10 represent equation 1
and -9x+ 3y = 3 represent equation 2
The following points are to be noted
Solving for x or y in equation 1 will definitely lead to having fractionsSolving for x in equation 2 will also lead to having fractionsHaving said that, the step to take to avoid fraction is to solve for y in equation 2
Check
[tex]-9x+ 3y = 3[/tex]
Add 9x to both sides
[tex]9x-9x+ 3y = 3 + 9x[/tex]
[tex]3y = 3 + 9x[/tex]
Divide through by 3
[tex]\frac{3y}{3} = \frac{3 + 9x}{3}[/tex]
[tex]y = \frac{3 + 9x}{3}[/tex]
Split fraction
[tex]y = \frac{3}{3} + \frac{9x}{3}[/tex]
[tex]y = 1 + 3x[/tex]
At the point, the expression of y can then be substituted in equation 1
Answer: solve for y in the second equation
Step-by-step explanation:
I got it right on edenuity
Is the number even or odd?
2018−2017+2016−2015 + . . . +2–1
Answer:
It is the odd number 1009
Step-by-step explanation:
Notice that this problem involves the addition of a number "1" per consecutive pair (a number minus the integer that immediately precedes it), so it adds "1" (one) every couple of consecutive numbers.
2018 - 2017 = 1
2016 - 2015 = 1
...
4- 3 = 1
2 - 1 = 1
That means it is the addition of 2018/2 = 1009 numbers "1". This clearly results on the number 1009, which is an odd number.
Which of the following exponential regression equation best fits the data shown below. Please help ASAP. ☺️
Answer:
Option D [[tex]y=6.61\,*\,1.55^x[/tex]] in the list of possible answers
Step-by-step explanation:
For this problem you are supposed to use a calculator that allows you to do an exponential regression. There are many tools that can help you with that, depending on what your instructors has assigned for your class.
I am showing you the results of a graphing tool I use, and which after entering the x-values and the y-values in independent "List" forms, when I request the exponential regression to fit the data, I get what you can see in the attached image.
Notice that the exponential of best fit with my calculator comes in the form:
[tex]y=A\,e^{k\, x}[/tex]
with optimized parameters:
[tex]A \approx 6.6114\,\,\,and\,\,\, k=0.4378321[/tex]
Notice as well that since:
[tex]e^{0.4378321} \approx 1.5490[/tex]
the exponential best fit can also be written:
[tex]y=6.611403\,\,*\,e^{0.4378321\, x}=6.611403\,*\,1.549^{\,x}[/tex]
and this expression is very close to the last option shown in your list of possible answers
find an equation of cosine function with maximum of 7, minimum of -7 and period of 7
Answer: [tex]\bold{y=7cos\bigg(\dfrac{2\pi}{7}x\bigg)}[/tex]
Step-by-step explanation:
y = A cos (Bx - C) + D
A = amplitude (vertical stretch)Period = 2π/BC/B = phase shiftD = vertical shiftThe minimum is -7 and the max is 7 so A = 7 and D = 0
Period is 7. Since P = 2π/B then 7 = 2π/B --> B = 2π/7
Nothing was stated about a phase shift so you can use any value for C. I chose C = 0.
Now, input A = 7, B = 2π/7, C = 0, & D = 0 into the equation
[tex]y=7\cos\bigg(\dfrac{2\pi}{7}x-0\bigg)+0\\\\\\\text{Simplify}:\\y=7\cos\bigg(\dfrac{2\pi}{7}x\bigg)[/tex]
is 10.97846727460 rational or irrational
Answer:
Step-by-step explanation:
Answer:
Rational
Step-by-step explanation:
Because the decimal places stop, it is rational. Remember, an Irrational number is non-repeating and non-terminating. Since the number terminates, it is rational
Please answer CORRECTLY !!!!!! Will mark BRIANLIEST !!!!!!
Answer:
you should drag to x axis #3
which graph represents as a function of length of the trip