Answer:
y=-4x+13
Step-by-step explanation:
y=mx+b
slope =
1--3/3-4
4/-1
-4/1
y-1=-4(x-3)
y-1=-4x+12
y=-4x+13
Answer:
[tex]y = -4x + 13[/tex]
Step-by-step explanation:
First, find the slope (denoted by the variable, m). Use the following equation:
slope [tex](m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Let:
[tex](x_1, y_1) = (4 , -3)\\(x_2, y_2) = (3 , 1)[/tex]
Plug in the corresponding numbers to the corresponding variables:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - (-3)}{3 - 4} = \frac{1 + 3}{-1} = \frac{4}{-1} = -4[/tex]
Use the slope-intercept form. The slope-intercept form is:
[tex]y = mx + b[/tex]
Use one of the given points to plug in for (x ,y). Also note that the slope (m) is equal to -4. Plug in the corresponding numbers to the corresponding variables:
[tex]y = mx + b\\(x , y) = (3 , 1)\\m = -4\\\\\\1 = (-4 * 3) + b\\1 = (-12) + b\\1 (+12) = b - 12 (+12)\\b = 1 + 12\\b = 13[/tex]
Plug in the slope (m) and the y-intercept (b) to get your equation:
[tex]y = -4x + 13[/tex]
~
Dan is using tiles to add - 8 +6. He begins with the tiles shown below.
OOOOOOOO
What is the sum of -8+6?
0-14
-2
02
14
Answer:
-2
Step-by-step explanation:
SOLVE FOR ASA
-GEOMETRY
Step-by-step explanation:
Hope It Helps You
Here You Answer
I need help with this problem
Solve the following system of equations using elimination by multiplication.
If the given equations are indeed
[tex]\begin{cases}x-\frac4{5y} = 9\frac45 \\ -14x - 4y = -46\end{cases}[/tex]
we can solve by substitution. Solve the second equation for x :
[tex]-14x - 4y = -46[/tex]
[tex]\implies 7x + 2y = 23[/tex]
[tex]\implies7x = 23 - 2y[/tex]
[tex]\implies x = (23 - 2y)/7[/tex]
Substitute this into the first equation and solve for y :
[tex]\dfrac{23-2y}7 - \dfrac4{5y} = 9\dfrac45[/tex]
On the right side, write the mixed number as an improper fraction:
[tex]9 + \dfrac45 = \dfrac{45}5 + \dfrac45 = \dfrac{45+4}5 = \dfrac{49}5[/tex]
[tex]\implies \dfrac{23-2y}7 - \dfrac4{5y} = \dfrac{49}5[/tex]
Multiply both sides of this equation by 35y (the LCM of the denominator of all three fractions)
[tex]35y \times \dfrac{23-2y}7 - 35y \times \dfrac4{5y} = 35y \times \dfrac{49}5[/tex]
[tex]5y\times(23-2y) - 7\times4 = 7y \times 49[/tex]
[tex]115y - 10y^2 - 28 = 343y[/tex]
[tex]10y^2 + 228y + 28 = 0[/tex]
[tex]5y^2 + 114y + 14 = 0[/tex]
To solve the quadratic, I'll complete the square :
[tex]5\left(y^2 + \dfrac{114}5y\right) + 14 = 0[/tex]
[tex]5\left(\left(y + \dfrac{57}5\right)^2 - \left(\dfrac{57}5\right)^2 \right) + 14 = 0[/tex]
[tex]5\left(y + \dfrac{57}5\right)^2 - \dfrac{57^2}5 + 14 = 0[/tex]
[tex]5\left(y + \dfrac{57}5\right)^2 = -\dfrac{3179}5[/tex]
This system has no real solutions since the square of any real number must be positive.
If we allow complex numbers, we can continue solving to end up with two complex solutions for y,
[tex]\left(y + \dfrac{57}5\right)^2 = -\dfrac{3179}{25}[/tex]
[tex]y + \dfrac{57}5 = \pm i \sqrt{\dfrac{3179}{25}}[/tex]
[tex]y = -\dfrac{57}5 \pm i\dfrac{17\sqrt{11}}5[/tex]
and we can go on to solve for x.
Hence my comment; I suspect you meant to write the system
[tex]\begin{cases}x-\frac45 y = 9\frac45 \\ -14x - 4y = -46\end{cases}[/tex]
because its solution is far simpler. Multiplying through the first equation by 5 gives
[tex]5\times x - 5 \times \dfrac45 y = 5 \times 9\dfrac45[/tex]
[tex]\implies 5x - 4y = 49[/tex]
(since we know 9 + 4/5 = 49/5)
Meanwhile, multiplying through the second equation by -1 gives
[tex]-1 \times (-14x) + (-1) \times (-4y) = -1 \times (-46)[/tex]
[tex]\implies 14x + 4y = 46[/tex]
So if we combine the two equations, we can eliminate y and solve for x :
[tex](5x - 4y) + (14x + 4y) = 49 + 46[/tex]
[tex]\implies 19x = 95[/tex]
[tex]\implies \boxed{x = 5}[/tex]
and solving for y gives
[tex]14x + 4y = 46[/tex]
[tex]\implies 70 + 4y = 46[/tex]
[tex]\implies 4y = -24[/tex]
[tex]\implies \boxed{y = -6}[/tex]
In a class of 50 students, 28 are boys and the rest are girls. The ratio of boys to girls in its simplest form is
Four students, Adrian, Claire, Jackson, and Wyatt, line up one behind the other. How many different ways can they stand in line?
Answer:
8
Step-by-step explanation:
4*3*2*1 i had the same problem
The number of different ways the students can stand in line is A = 24 ways
What are Permutations?A permutation is an ordered arrangement.
The number of ordered arrangements of r objects taken from n unlike objects is:
Permutation ⁿPr = n! / ( n - r )!
Given data ,
Let the number of different ways the students can stand in line be A
Now , There are 4 students to choose from for the first position in the line, then 3 remaining students for the second position, 2 remaining students for the third position, and only 1 student left for the last position.
Therefore, there are
4 × 3 × 2 × 1 = 24 different ways for the students to stand in line
Therefore , the value of A = 24 ways
Hence , the students have 24 ways to stand in line
To learn more about permutation click :
https://brainly.com/question/1216161
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$800 at 9% per year for 1 year
Answer:
The answer should be 72.
Step-by-step explanation:
You're finding the interest earned. I = Prt, I for simple interest, P for principal, r for rate, and t for time.
Substitute p for $800, r for 9%, and t for is 1 year.
You would multiply these three numbers together.
$800(0.09)(1) should give you 72.
Find a counterexample for this statement.
A quadrilateral has four congruent sides.
Answer:
A Rhombus
Step-by-step explanation:
it's a quadrilateral, but its sides aren't congruent
What is the value of x in the polygon below?
Answer:
x=141
Step-by-step explanation:
The measure of all the angles in a septagon (7 sided shape) add up to 900°. The current sum of the known angles 131°+122°+125°+148°+107°+126°=759°.
900° total sum minus known sum 759° equals 141°.
Which of the following points lie in the solution set to the following system of inequalities? y > â’3x 3 y > x 2 (2, â’5) (â’2, 5) (2, 5) (â’2, â’5).
Answer:
The concept of identity, the meaning we give to ourselves and our sense of purpose, connects us to others. This concept best illustrates the link between the psychological and ____ system
Each student bus goes on a field trip holds 36 students and four adults there are six found buses on the field trip how many people are going on a field trip
Answer:
240
Step-by-step explanation:
36+4=40
40x6=240
Can someone please help me with number 49? :D ty!
Answer:
The answer is 4.5 cups I hope this helps :D
Please please help!!
Step-by-step explanation:
get add and add on ok
Hii I would love if anyone would be able to give me the answer to this <3
Answer:
×=40
Step-by-step explanation:
The total value of all the angles on any line is 180
so x+(4x-20)=180
40+(4×40-20)=180
Answer:
40°
Step-by-step explanation:
The sum of angles x and (4x - 20) is 180°
x + (4x - 20) = 180
5x = 200
x = 40°
HELPPPPPPP PLSSSSS!!!!!! 100 points
Given: Angle T S R and Angle Q R S are right angles; Angle T Is-congruent-to Angle Q
Prove: Triangle T S R Is-congruent-to Triangle Q R S
Triangles T S R and Q R S share side S R. Angles T S R and S R Q are right angles. Angles S T R and S Q R are congruent.
Step 1: We know that Angle T S R Is-congruent-to Angle Q R S because all right angles are congruent.
Step 2: We know that Angle T Is-congruent-to Angle Q because it is given.
Step 3: We know that Line segment S R is-congruent-to line segment R S because of the reflexive property.
Step 4: Triangle T S R Is-congruent-to Triangle Q R S because
of the ASA congruence theorem.
of the AAS congruence theorem.
of the third angle theorem.
all right triangles are congruent.
Answer:
B.of the AAS congruence theorem.
Step-by-step explanation:
hope this helps!
help me with this plss
Answer:
31-13=18
Step-by-step explanation:
so its 18 pls give brainliest
Answer:
18
Step-by-step explanation:
Since Robyn bought 13 video games and got 31 at the end, if you take away 13 then you will get 18 meaning the answer is 18
Maths Sum:
There's 2 ways you could go this, there's the algebraic way of doing it (that I don't recommend for this type of question and is a bit to advanced right for this question also) which is:
x + 13 = 31
- 13 -13
x = 18
And there's the simple way of doing that I recmmend for this type of question which is:
31 - 13 = 18
helllp meeeeeeeeeeeeeeee
Mateus recorded the number of miles driven and the amount
of gasoline used in the table below.
Gas Mileage
Distance Gas Usage
(in miles) (in gallons)
105
5
210
10
315
15
420
20
At this rate, what is the maximum miles that can be driven
with 12 gallons of gasoline?
A) 220 miles
B) 236 miles
C) 252 miles
D) 262.5 miles
Answer:
C. 252 miles.
Step-by-step explanation:
Since we already know how many miles is driven for 10 gallons of gas, we only need to find 2.
Since 105 miles runs on 5 gallons, divide 105 by 5 to find out how many miles runs on 1 gallon.
105/5=21
Then, multiply that by 2 to find out how many miles run on 2 gallons of gas.
21x2=42.
Finally, add 42 to 210 to get the amount of miles that runs on 12 gallons of gas.
210+42=252
Slope formula: trying to make sure I’m doing this right
Answer:
Yup ur Right ;D
Step-by-step explanation:
huang 3 shirts that each cost the same amount, a pair of pants that cost $12, and he pays with a $100 bill. Which
expression represents the amount of change Huang should receive? Select three options.
100-(3)
100--12)
(100-12) - 3
(100-12)*x*)
100-x) - 12
Answer:
(100-12) - 3
Step-by-step explanation:
we dont know what the cost of the shirts are so that one should be it.
A number minus 33 is at least -5
Answer:
28
Step-by-step explanation:
Put in calculator 28-33= -5
Select the correct answer.
Which expression in factored form is equivalent to this expression?
I have no clue
Question 7
Answer: 27[tex]a^{-6}b^{3}[/tex]
Step-by-step explanation:
you can isolate the separate terms so you get
3^3 x a^(-2x3) x b^3 = 27 a^-6b^3
Erin bought 4 jars of jelly and 6 jars of peanut butter for $19.32. Adam bought 3 jars of jelly and 5 jars of peanut butter for $15.67. Find the cost of a jar of peanut butter?
Answer:
the jar of peanut butter is $2.36
Step-by-step explanation:
Answer: $2.36
Step-by-step explanation:
The ages and grades of some of the 19 girls on a club soccer team are shown in the table. Which two-way frequency table correctly shows the marginal frequencies?
Answer:
Step-by-step explanation:
add up to a total of 21 girls. The question says there are 19 girls, so those two are eliminated. Table B's data doesn't even add properly so that is eliminated too
Answer:
Add up the 21 girls,
table B is out btw
Ik I'm late just want to help :)
10. Given m and b, write the equation of the line:
m= -4; b = 2
Answer:
y = -4x + 2
Step-by-step explanation:
A set of 6 art books costs $241.25. A copy of one of the books, bought separately, costs $38.25. About how much less is the cost of the 6 books if you buy the set?
The cost of the 6 books if you buy the set is $11.75 less.
The given parameters:
Total number of books, n = 6Cost of the books, c = $241.25Cost of one book, = $38.25The total cost of the 6 books when bought separately is calculated as follows;
Cost = 6 x $38.25
Cost = $229.5
The difference in price is calculated as follows;
= $241.25 - $229.5
= $11.75
Thus, the cost of the 6 books if you buy the set is $11.75 less.
Learn more about cost price here: https://brainly.com/question/19104371
Wesley Snipes earns a monthly salary of $1,685, plus a 8.5% commission on all sales over $2,000 each month. This month, his sales were $6,250. What was his total
income for the month?
$2,224.50
$2,175.80
$2,112.90
$2,046.25
None of these choices are correct
Answer:
none of theses choices. wesley makes $2185 this month
Step-by-step explanation:
NO LINKS!!!!! Plz
Round 0.864595 to the ten-thousandths place.
Answer:
0.8646
Step-by-step explanation:
The digit in the hundred-thousandths place is 9, so is greater than 4. That means the digit in the ten-thousandths place is increased by 1 when the number is rounded.
0.864595 rounds to 0.8646
pls someone help me.
AB=EF
ABEF=ABF+AEF
NOW CONTINUES THE SOLUTION
Find the value of x
3x = 9²
[tex]\huge\boxed{Hi\:there!}[/tex]
[tex]\huge\sf{3x=9^2}[/tex]
[tex]\huge\sf{3x=81}[/tex]
[tex]\huge\sf{Divide\:both\:sides\:by\:3\:to\:isolate\:x:}[/tex]
[tex]\huge\sf{x=27}[/tex]
[tex]\huge\boxed{Hence,\:x=27.}[/tex]
[tex]\huge\sf\underline{Hope\:it\:helps}[/tex]
[tex]\boxed{CheerfulGirlie\:here\:to\:help}[/tex]
Find the value of x
3x = 9²
Answer:-x = 27
Explanation:-=> 3x = 9²
=> 3x = 81 [9² = 9×9 = 81]
=> x = 81/3
=> x = 27