Answer:
The desired equation is thus y = 4x + 17
Step-by-step explanation:
The slope-intercept form of the equation of a straight line is y = mx + b. There are two values to find: slope m and y-intercept b.
The line passes through (4, 33). Thus, 33 = m(4) + b.
The line also passes through (1, 21). Thus, 21 = m(1) + b, or m = 21 - b.
Thus we have a system of linear equations to solve, and will use the substitution method:
Substitute 21 - b for m in 33 = 4m + b:
33 = 4(21 - b) + b, which, in expanded form, is 33 = 84 - 4b + b, or
33 = 84 - 3b, of
-51 = -3b.
Thus, b = 17. Since m = 21 - b, when b = 17, m = 21 - 17 = 4
The desired equation is thus y = 4x + 17
Of course there are other ways to find this equation. You could, if you wished, find the slope of the line passing through the given points using the definition of slope, and then find the y-intercept.
Is the point (15,29)on the line y = 2x-3?
Answer:No
Step-by-step explanation: It is on 3x-3
The point (15, 29) does not satisfy the line y = 2x - 3, and the point (15, 29) is not lying on the line.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
We have a line:
y = 2x - 3
If the point (15, 29) is on the lie then it must satisfy the line.
Therefore putting this point in the equation of the line.
Put x = 15, and y = 29, we get:
29 = 2×15 - 3
= 30 - 3
29 ≠ 27
29 cannot be equal to 27 it means the point (15, 29) does not satisfy the line and the point is not lying on the line.
Thus, the point (15, 29) does not satisfy the line y = 2x - 3, and the point (15, 29) is not lying on the line.
Learn more about the linear equation here:
brainly.com/question/11897796
please help with this
Answer:
Table A
Step-by-step explanation:
None of the numbers in the x values are repeating
Algebra 1
6.4 DIE
Find the distance between the points (0, -10) and (-8,0).
tbh i think it is 6 i did the math too
Answer:
2√41
Step-by-step explanation:
d = √(x2 - x1)² + (y2 - y1)²
√(-8 - 0)² + [0 - (-10)]²
√(-8)² + (10)²
√(64) + (100)
√164
= 2√41
88 POINTS!! I WILL MARK BRAINLYIST FOR CORRECT ANSWER, I NEED HELP!!!
1. Which variable did you plot on the x-axis, and which variable did you plot on the y-axis? Explain why you assigned the variables in that way.
2. Write the equation of the line of best fit using the slope-intercept formula $y = mx + b$. Show all your work, including the points used to determine the slope and how the equation was determined.
3. What does the slope of the line represent within the context of your graph? What does the y-intercept represent?
4. Test the residuals of two other points to determine how well the line of best fit models the data.
5. Use the line of best fit to help you to describe the data correlation.
6. Using the line of best fit that you found in Part Three, Question 2, approximate how tall is a person whose arm span is 66 inches?
7. According to your line of best fit, what is the arm span of a 74-inch-tall person?
.................................................................................
Find the area of the shaded region in the figure above using two different ways. Do you get the same
answer both ways? Investigate what's going on here.
Answer:
Below
Step-by-step explanation:
First way:
Find the area of the big triangle and subtract the area of the rectangle.
Area of shaded part = 1/2 * 25 * 34 - 10*24 = 185 m^2
Second way:
Add the area of the 3 shaded triangles:
= 1/2 * 15 * 24 + 1/2 * 5 * 10 + 1/2 * 5 * 10
= 180 + 25 + 25 = 230 m^2
The areas are different. The reason must be that given lengths are not possible for this diagram.
Check The length of the hypotenuse of the large triangle by 2 different methods:
The hypotenuse = √(25^2 + 17^2)
= 30.23.
Now let's work out the hypotenuse of the shaded triangles:
Top one = √(15^2 ^ 12^2) = 19.21
Bottom one = √((5^2 + 10^2) = 11.18
Adding these we get 30.39 which is different than previously calculated but it should be the same.
So what we have here is impossible geometry. This accounts for the different areas.
It is given that two horizontal lines are parallel. Given that ∠6 = 133°°, find the measure of the other 7 angles from the picture above.
Answer:
the answer is 47
Step-by-step explanation:
133+x=180
Find the volume of the prism
Answer:
440cm³
Step-by-step explanation:
Area of trapezium base=
[tex] \frac{1}{2} \times (a + b) \times h[/tex]
[tex] \frac{1}{2} \times (8 + 14) \times 4[/tex]
[tex] \frac{1}{2} \times 22 \times 4 \\ = \frac{88}{2} \\ = 44 {cm}^{3} [/tex]
Volume=Area or trapezium x Height between trapezium ends
[tex] = 44 \times 10 \\ = 440 {cm}^{3} [/tex]
Please help it's urgent if you do not help you will become Jeffery Epstein son!
due today pls help me
Answer:
BC = [tex]5\sqrt{5}[/tex]
Step-by-step explanation:
Hope this helps u !!
Which table shows a proportional relationship between x and y?
the city central library has 72,864 books and 72 bookcases how many books are there in each bookcase
Answer:
1,012
Step-by-step explanation:
72,864 / 72 = 1,012
Answer:
1012 books per bookcase
Step-by-step explanation:
Assuming each bookcase has the same number of books, this is a division task.
Your answer will be given by number of books÷number of bookcases.
In this case, that becomes 72864÷72.
This can be solved to 1012.
**This question involves division and writing integer expressions, which you may wish to revise. I'm always happy to help!
A bag contains 4 red marbles, 3 blue marbles and 2 green marbles. If two marbles are drawn out of the bag, what is the probability, to the nearest 10th of a percent, that both marbles drawn will be red?
Answer:
Probability = 16.7
Step-by-step explanation:
Total marbles 9
Choosing 2 red = [tex]4C_2[/tex]
Choosing 2 marbles from 9 marbles = [tex]9C_2[/tex]
Probability percent of choosing 2 red marbles from 9 marbles
[tex]\frac{4C_2}{9C_2} = \frac{1}{6} \times 100 = 0.1667 \times 100 = 16.7[/tex]
Answer:
16.6
Step-by-step explanation:
4+3+2=9 marbles
4=red
4/9*3/8=1/6
1/6= 16.6
Please help!!!!!! I’ll give the brainliest !!!!!!!
For f(x) = 3x + 1 and g(x) = x ^ 2 - 6 find (8/f)(x)
Answer:
9x² + 6x - 5
Step-by-step explanation:
If you mean g(f(x))
g(x) = x² - 6
f(x) = 3x + 1
Then, g(f(x)) = g(3x + 1)
but g(x) = x² - 6
g(3x + 1) = (3x + 1)² - 6 = 9x² + 6x + 1 - 6
= 9x² + 6x - 5
if log w = (1/2) log x + log y, then w= ?
Answer:
[tex]w = \sqrt{x} y[/tex]
Step-by-step explanation:
Formula used :
[tex]a \ log\ b = log \ b^a\\\\log a + log b = log \ ab[/tex]
[tex]log\ w = \frac{1}{2} log\ x + log \ y\\\\log \ w = log \sqrt{x} + log \ y\\\\log \ w = log \sqrt{x} y\\\\w = \sqrt{x} y[/tex]
The table shows the height of a hot air balloon from 1 minute to 5 minutes.
Height of Hot Air Balloon
Time (in minutes)
What ordered pairs would you plot to show the data on a
coordinate grid? How do you think the ordered pairs would
be different if the height of the balloon was measured every
15 seconds instead of every minute? Explain your reasoning
Answer:
You would plote the minutes as your x (1,2,3,4,5) and your height in feet as your y. So some ordered pairs would be (1,35) and (2,60).
Step-by-step explanation:
If it were measured every 15 minutes, the x coordinate, would be multiples of 15.
Hope this helps!
:)
does anyone know how to do this? MATH ANSWERS ONLY
Answer:
34.2 ; 105.8 ; 12.0
Step-by-step explanation:
[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]
c² = a² + b² - 2abcosC
~~~~~~~~~~~~
sinB = [tex]\frac{bsinA}{a}[/tex]
sinB = 7sin40° ÷ 8 ≈ 0.562439
m∠B ≈ 34.2°
m∠C = 180° - ( 40° + 34.2° ) = 105.8°
c² = 8² + 7² - 2(8)(7)cos106° ≈ 143.87
c ≈ 12.0 units
Expand the following: a)2(x - 1) b) 3(2x + 3) c) 7(x + 5 d) 5(2x - y) o Tyne here to search
Step-by-step explanation:
a )2x-2
b)6x+9
c)7x+35d
for these type of questions you basically just times the out side number of the brackets by the inside one.
hope this helps u understand:)
The perimeter of a rectangle is twice the sum of its length and its width. The perimeter is 22 meters and its length is 2 meters more than twice its width. 0
Answer:
Length = 6.5 meters
Width = 4.5 meters
Step-by-step explanation:
Given,
Perimeter of a rectangle is twice the sum of it's length and width.
Length is 2 meters more than twice its width, let the length be x meters so the width becomes (x-2) meters
perimeter of the rectangle,
2{x+(x-2)} meters which is 22 meters (given)
so,
2{x+(x-2)}=22
or, 2(x+x-2)=22
or, 2(2x-2)=22
or, 2x-2=11
or, 2x=13
or, x=6.5
so the length is 6.5 meters and the width is 6.5-2 = 4.5 meters.
Answered by GAUTHMATH
Solve the inequality.
pls pls help
Answer:
first u will find de L.C.M which is 6
so u will multiply de whole equation by 6 hence
6(x/3)- 6(x-1/ 2) greater or equal to 6(1)
u will then cancel getting de equation to be
2(x)-3(x-1) greater or equal to 6 (1)
now, u will expand de equation
2x-3x+3 greater or equal to 6
now u group like terms
2x-3x greater or equal to 6-3
hint: greater or equal to must be done with it's symbol
so now for de answer, u will get -x greater or equal to 3
wen u get this, u change de operation to be opposite of de current sign
now de final answer becomes
-x less or equal to 3Parkview apartments has two buildings. each building has three floors each floor has 16 windows. what is the total number of windows in the Parkview apartment building.
Answer:
96
Step-by-step explanation:
3 floors:
3x16= 48windows per building
2 buildings
2x48=96 windows
Which phrase describes the variable expression 11 • X?
O A. 11 decreased by x
OB. 11 increased by x
C. The produqt of 11 and x
odust
O D. The quotient of 11 and x
SUBA
Answer:
B or C
Step-by-step explanation:
if its refering to the answer of 11 × X then the answer is C, but if its not the answer might be B.
please help i dont understand this
Answer:
yeah me too
Step-by-step explanation:
Christine drove 260 miles using 12 gallons of gas. At this rate, how many gallons of gas would she need to drive 286 miles?
Answer:
13.2 gallons
Step-by-step explanation:
286/260 *12 = 13.2
Answer:
about 13.2 gallons
Step-by-step explanation:
Easy way to calculate.
12 gallons divided by 260 miles
Take that answer and multiply it by 286.
Work out m and c for the line:
y=x-8
never mind i got it
Answer:
m = 1 c = -8
Step-by-step explanation:
What term describes the process of using the output of one function as the input for another? A. Function mapping B. Function simplification C. Function composition D. Function notation
Answer: C. Function composition
Step-by-step explanation:
If we have two functions, we can form a new function by composing one function into the other. Such functions are known as composite functions.
For example we have two functions f and g and produces a function h such that h(x) = g(f(x)).
It is generally a function that is written inside another function.
i.e. it is a process of using the output of one function as the input for another.
Thus, the correct option is C.
The required term: Function composition
Luanne recorded the favorite sport of students at her school. She surveyed 200 students. How many students chose Tennis?
Answer:
20 students
Step-by-step explanation:
Given that
There are 200 students surveyed
And, the percentage of each games is as follows;
For tennis it is 10%
For basketball it is 30%
For football it is 35%
for baseball it is 25%
We need to find the number of students choose tennis
So, it should be
= 10% of 200
= 20 students
Can someone help me? It's urgent and thank you!
Answer:
-6 and -1
Step-by-step explanation:
The excluded values are the values of x that satisfy [tex]2x^{2} + 14x + 12 = 0[/tex]
Let us solve the equation [tex]2x^{2} + 14x + 12 = 0[/tex]
It's a quadratic equation
Thus, let us calculate the discriminant Δ
Δ [tex]= 14^{2} - 4 .2.12 = 100[/tex]
the discriminant is greater than 0, so the equation has two solutions
[tex]x = \frac{-14 - 10}{4} = \frac{-24}{4} = -6[/tex] or [tex]x = \frac{-14+10}{4} = \frac{-4}{4} = -1[/tex]
the excluded values are -6 and -1
pls help me in this question
Answer:
[tex]x=\sqrt{72}[/tex]
Step-by-step explanation:
Hope this helps
Is -451 in the sequence below?
15,7,-1,-9,,-17..
Answer:
No, the closest to -451 in the sequence is -429
Step-by-step explanation:
Answer:
nope
Step-by-step explanation:
I need help finding the solution
=====================================================
Explanation:
Notice the tickmarks on the segments in the diagram. This tells us that chords DC and CB are the same distance from the center. It furthermore means that DC and CB are the same length, and arcs DC and CB are the same measure
arc DC = arc CB
12x+7 = 18x-23
12x-18x = -23-7
-6x = -30
x = -30/(-6)
x = 5
---------------------
Use this x value to find the measure of arcs DC and CB
arc DC = 12x+7 = 12*5+7 = 67arc CB = 18x-23 = 18*5-23 = 67We get the same measure for each, which helps confirm we have the correct x value.
The two arcs in question add to 67+67 = 134 degrees. This is the measure of arc DCB. Subtract this from 360 to get the answer
arc DAB = 360-(arc DCB) = 360-134 = 226 degrees
I'm using the idea that (arc DCB) + (arc DAB) = 360 since the two arcs form a full circle.
