Answer:
y=6x-4
Step-by-step explanation:
The equation of line in the slope intercept form is y = 6x - 8 , where the slope of the line is m = 6
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the slope of the line m = 6
Let the y intercept of the line be = -8
Now , equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
Substituting the values in the equation , we get
y = 6x - 8 be equation (1)
Hence , the equation of line is y = 6x - 8
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. How many 0.5-liter glasses of water can be poured from a full 6-liter pitcher? HELPP
Answer:
2 glasses
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
6(2)
Solve 3/5k-5=7/10k by eliminating the fraction. Explain how you determine what to multiply each term by and all the steps to solving the equation.
9514 1404 393
Answer:
k = -50
Step-by-step explanation:
The fraction denominators are 5 and 10. The least common multiple of those values is 10. This means we can eliminate fractions by multiplying both sides of the equation by 10:
6k -50 = 7k
Subtracting 6k from both sides of the equation leaves you with the solution:
-50 = k
Name four pairs of adjacent angles
Answer:
JKH and HKE, HKE and EKF, EKF and GKF, GKF and JKG
Step-by-step explanation:
i hope this is right, and helps lol
adjacent angles have a common vertex and side, so these should be correct
Two angels of a triangle measure 12 and 40.
What is the measure of the third angle of the triangle ?
Answer:
C) 128
Step-by-step explanation:
Sum of all three angles of triangle = 180
Let the third angle be 'x'
x + 12 + 40 = 180
x + 52 = 180
x = 180 - 52
x = 128
Help me pleaseeeeeeeeeeeee
Answer:
4/3 for slope.. I'm unsure if its also asking for y- intercept
Step-by-step explanation:
Can someone Please help me?
PLS HELPPPPPPPPP!!!!!!!!!!!3. There are many bacteria that live inside of us. By some estimates there are 3.8 x 1013 bacteria that live inside each of our bodies. Each bacterium weighs, on average, 5.1 x 10-12 grams. What is the total gram
weight of bacteria in a human body? Round to the nearest gram.
Answer:
193.8
Step-by-step explanation:
a = 3.8 times 10^13 = 38,000,000,000,000
b = 5.1 times 10^-12 = 0.0000000000051
a times b = 193.8
the picture above ^^
Answer:
Step-by-step explanation:
square root of 25x^2 is 5x. square root of 36 is 6
2(5x)(6)
60x
PLEASE HELP ME WITH THIS QUESTION ^^
factorise the following: x*2-2x-3
Jan jdjnznxwjzn help
Answer:
A.
Step-by-step explanation:
Graph the solution of y ≥ 1/3x + 4. (points plz)
Answer:
(0,4) (3,5) (6,6)
Step-by-step explanation:
solid line
shaded above
Best Buy is having a sale on computers. Katherine picks out a computer that was originally $1099.99
If the computer is 18% off, What is the final price of the computer?
Round to the nearest penny.
Answer:
$901.9918
Step-by-step explanation:
$901.9918
Simplify the expression.
-3a + (-5a) – 7 + 6a
A. 14a + 7
B. -2a + 7
C. 2a - 7
D. -2a - 7
SHOW YOIUR WORK PLZSSSSSS
which series has a sum of 20?
Answer:
the first option has a sum of 20
Step-by-step explanation:
Answer:
the first one has a sum of 20
Step-by-step explanation:
Please help me, will mark you as brainiest! Don’t answer if you don’t know it!
Answer:
The correct option is;
26.8
Step-by-step explanation:
The given parameters are;
The perpendicular bisectors of the sides of ΔMNP = Segments OQ, OR, and OS
Therefore;
in Segment MN, segment QM = segment QN, by definition of bisected line
Segment OQ = Segment OQ by reflexive property
∠OQM = ∠OQN = 90° by definition of perpendicular bisector
∴ ΔOQN ≅ ΔOQM, by SAS rule of congruency
Segment MO ≅ Segment ON by Congruent Parts of Congruent Triangle are Congruent, CPCTC
Segment MO = Segment ON = 26.8, by definition of congruency
Segment MO = 26.8
Solve for x -1 + 18x 16x + 9
Answer:
[tex]288 {x}^{2} + x + 18[/tex]
Step-by-step explanation:
Ayan po ang answer sana po makatulong
Paki heart nalang po kung nakatulong
#carrying learning
y=-2x+1
3x-2y=5 consider the systems of equations
I hope this is the way it must be calculated
3x+4y=8 please solve for Y
Answer:
(8-3x)/4
Step-by-step explanation:
3x+4y=8
4y=8-3x
y=(8-3x)/4
So the answer is (8-3x)/4
Factorise fully : 12x-8
please help :(
Answer:
-96 :)
Step-by-step explanation:
12 x (-8) = -96
if there is one negative in the problem the answer will be negative.
At part of an hour passes between 3:12pm an 4:30pm
Help
Answer:
1h 18min
Step-by-step explanation:
Not sure if that is what the problem is asking you.
Answer:
An 1 hour and 18 minutes
Step-by-step explanation:
Yes uhmmm hope this helps I guess
2.30+2.50+2.75+2.00
Answer:
9.55 hope this helps :)
Step-by-step explanation:
1
2.30
2.50
+ 2.75
2.00
-----------
9.55
for what value of X is ABCD a rectangle ? explain your answer
Answer:
10
Step-by-step explanation:
If ABCD is a rectangle, then AB=CD and AC=BD.
AC=BD, so x+6=2x-4Subtract, -x+6=-4Subtract, -x=-10Make positive, x=10Check work:
10+6=2(10)-410+6=20-416=16Sin(a+b)=15/13 Sina=2/3 find sinb
Answer: [tex]\frac{19}{39}[/tex]
Step-by-step explanation:
1. S(a+b) = 15/13
2. I tells us that sina = 2/3
3. 2/3 + sinb = 15/13
4. Solve for sinb which will be 19/39
I hope this is right.
I will give you brainliest if you figure this out
Answer:
Substitue 3 in for x...
Step-by-step explanation:
By substituting 3 in for x, you can solve for y. The result should be the same.
How do I solve this equation and check the solutions?
Answer:
{-6}
Step-by-step explanation:
Step 1 Raise both sides of the equation to the index of the radical in the case 2
[tex](\sqrt{2x+13} )^{2} =(x+7)^{2}[/tex]
[tex]2x + 13 = (x+7)(x+7)[/tex]
[tex]2x +13 = x^{2} + 14x + 49\\0=x^{2} +12x+36[/tex]
Step 2 Factor
(x + 6)(x + 6) = 0
x + 6 = 0
x = - 6
Step 3 Check -6
[tex]\sqrt{2(-6)+13} = -6 + 7\\\sqrt{-12+13} = 1\\\sqrt{1} = 1\\1 = 1[/tex]
Find the recursive rule, explicit rule, and f(20)
Answer:
Recursive:
[tex]f(1)=4, f(n)=f(n-1)-4[/tex]
Explicit:
[tex]f(n)=4-4(n-1)[/tex]
And the 20th term f(20) is -72.
Step-by-step explanation:
We have the sequence:
4, 0, -4, -8...
Let’s find the recursive and explicit rule for the sequence.
Recursive Rule:
Let’s determine the factor by which the sequence is decreasing by. We see that each subsequent term is 4 less than the previous term. In other words, our common difference is -4.
So, this is a arithmetic sequence.
The standard format for an recursive rule for an arithmetic sequence is:
[tex]f(1)=a , f(n)=f(n-1)+(d)[/tex]
Where a is the initial term and d is our common difference.
From our sequence, we know that our initial term a is 4.
We also determined that our common difference is -4.
Substitute. Hence, our recursive rule is:
[tex]f(1)=4, f(n)=f(n-1)-4[/tex]
Explicit Rule:
The standard format for an explicit rule for an arithmetic sequence is:
[tex]f(n)=a+d(n-1)[/tex]
Where a is the initial term and d is the common difference. So, again, let’s substitute 4 for a and -4 for d. Hence, our explicit formula is:
[tex]f(n)=4-4(n-1)[/tex]
To find f(20), we can use the explicit formula. It is possible to use the recursive formula, but it gets tedious. Therefore, we will substitute 20 for n for our explicit formula:
[tex]f(20)=4-4(20-1)[/tex]
Evaluate:
[tex]\begin{aligned} f(20)&=4-4(19) \\ f(20)&=4-76 \\ f(20)&=-72 \end{aligned}[/tex]
Hence, our 20th term is -72.
I need help on this thx
In GHJ, GH = 21 inches, HJ = 24 inches, and GJ = 9 inches. Which statement is true? A. G is smallest B. J is smallest C. H is largest D. G is largest
Answer:
G is the smallest
H is the largest
Step-by-step explanation:
Given
[tex]GH = 21[/tex]
[tex]HJ = 24[/tex]
[tex]GJ = 9[/tex]
Required
Which of the statements is true
First, we need to solve for G, H and J as follows:
[tex]G + H = 21[/tex] --- (1)
[tex]H + J = 24[/tex] --- (2)
[tex]G + J = 9[/tex] --- (3)
Make G the subject in (1)
[tex]G = 21 - H[/tex]
Substitute 21 - H for G in (3)
[tex]21 - H + J = 9[/tex]
Collect Like Terms
[tex]-H + J = 9 - 21[/tex]
[tex]-H + J = -12[/tex]
Make J the subject
[tex]J = H - 12[/tex]
Substitute H - 12 for J in (2)
[tex]H + H - 12 = 24[/tex]
[tex]2H - 12 = 24[/tex]
Collect Like Terms
[tex]2H = 24 + 12[/tex]
[tex]2H = 36[/tex]
Solve for H
[tex]H = 18[/tex]
Substitute 18 for H in [tex]J = H - 12[/tex]
[tex]J = 18 - 12[/tex]
[tex]J = 6[/tex]
Substitute 18 for H in [tex]G = 21 - H[/tex]
[tex]G = 21 - 18[/tex]
[tex]G = 3[/tex]
So, we have that:
[tex]G = 3[/tex] [tex]J = 6[/tex] [tex]H = 18[/tex]
Hence, we can conclude that:
G is the smallest
H is the largest
An investment of $1500 is earning 7% simple interest each year. How much will the investment be worth after one year?
Answer:
$1,605
Step-by-step explanation:
As, 7% of $1,500 is = $105
So, the investment is = Principcal + Interest.
= $1,500 + $105 = $1,605
The value of investment after one year will be $1,605.
About Investment:It is an asset invested to increase wealth and save money from the hard earned income. Investment is primarily to obtain an extra source of income or gain profit from the investment over a specific period of time.Computation of investment after one year:Given that,
Principal[P] = $1,500.
Rate[R] = 7%.
Time[T] = 1 year.
Formula of simple interest[S.I] :
[tex]\text{ S.I.} = \dfrac{P\times R\times\ T}{100} .\\\\ \text{S.I.} = \dfrac{\$1,500\times7}{100}\\\\ \text{S.I. }=\$105.[/tex]
Investment after one year will be :
[tex]\text {Investment}= \text{Principal} +\text{Interest}.\\\text{Investment}=\$1,500+\$105\\\text{Investment} =\$1,605[/tex]
Hence, the worth of investment after one year will be $ 1,605.
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