Answers
Answer:
C. [tex]y+4=-3(x-3)[/tex]
Step-by-step explanation:
The point-slope format is a way to represent the equation of a line. It involves using a point on the line and relating it to the slope in such a way that one can find any point on the line using the equation. One is asked to find the equation of a line in point-slope form. The general format for the point-slope form of a line is the following;
[tex]y-h=m(x-k)[/tex]
Where the point on the line that is being used is ([tex]h,k[/tex]). The parameter ([tex]m[/tex]) represents the slope or rate of change in the line. The slope is often referred to as the ([tex]\frac{rise}{run}[/tex]) and can be found using the following formula.
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Where ([tex]x_1,y_1[/tex]) and ([tex]x_2,y_2[/tex]) are points on the line. As one can see the following points can be found on the line:
[tex](3,-4), (0, 5)[/tex]
Substitute these points into the slope formula and solve for the slope;
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{(5)-(-4)}{(0)-(3)}[/tex]
= [tex]\frac{5+4}{0-3}\\[/tex]
= [tex]\frac{9}{-3}[/tex]
= [tex]-3[/tex]
Now substitute the slope into the given formula. As per the problem, one is supposed to use the point ([tex]3, -4[/tex]) in the formula.
[tex]y-h=m(x-k)[/tex]
Substitute the slope;
[tex]y-h=-3(x-k)[/tex]
Substitute the point;
[tex]y+4=-3(x-3)[/tex]
Related Questions
Find the surface area of the triangular prism below. The bases each have an
area of 6 cm2 and a perimeter of 10 cm, and the altitude is 10 cm.
Answers
Answer:
112
Step-by-step explanation:
what two integers are closest to sqaure root of 193
Answers
Answer:
13 and 14
Step-by-step explanation:
Method I - use calculator to find the square root
√193 = 13.892443989449805
Two closest integers
13 and 14
Method II - figure the squares closest to 193
13² = 169
14² = 196
2. A doctor created a scatterplot to show the relationship of heart rate to
blood pressure for some of her patients. The table below is the
data that the doctor collected.
Heart
Blood
Rate
Pressure
80
140
90
155
98
160
С
110
171
Which of these BEST describes the correlation for the data?
Answers
Answer:
Step-by-step explanation:
Please don't give me a link to the answer I can't open them.
Answers
From the graph it passes through (-4,2) and (4,-2)
Consider (-4,2) as (x1,y1)
(4,-2) as (x2,y2)
OPTION C
Which of the binomials below is a factor of this trinomial?
x^2 + 13x+42
Answers
Answer:
x+6 and x+7
Step-by-step explanation:
Given the quadratic equation;
x^2 + 13x + 42
Factorize
x^2+13x+42 = 0
x^2 + 7x + 6x + 42 = 0
x(x+7)+6(x+7) = 0
(x+6)(x+7) =0
Hence the required binomials are x+6 and x+7
If sin(2x + 7)degrees =cos(4x-7)degrees, what is the value of x?
Answers
Answer:
x = 15
Step-by-step explanation:
[tex]cosx = sin(\frac{\pi}{2} - x)[/tex]
[tex]sin x = sin y = > x = sin^{-1}(sin y) = y => x = y[/tex]
[tex]sin(2x + 7)^{\circ} = cos(4x - 7)^{\circ}\\\\sin(2x + 7)^{\circ} = sin(\frac{\pi}{2} - (4x - 7))\\\\(2x + 7) = (\frac{\pi}{2}- (4x -7))\\\\2x + 7 = \frac{\pi}{2} - 4x + 7\\\\6x = \frac{\pi}{2}\\\\x = \frac{\pi}{12}[/tex]
x = 15
Ben is 50 years old. His son, Carl is 24 years old. How many years ago was Ben 3 times as old as Carl?
Answers
Answer:
78
Step-by-step explanation:
50 - 24 = 26
26 x 3 = 78
Hope it helps...
Claire completed the steps to solve the system of equations. 4 x minus 2 y = 4. 3 x + 3 y = 21. Step 1 12 x minus 6 y = 12. 6 x + 6 y = 42. Step 2 18 x = 54. Step 3 x = 3. Step 4 4 (3) minus 2 y = 4. 12 minus 2 y = 4. 2 y = negative 8. Y = negative 4. Step 5 Solution is (3, negative 4). Is Claire's solution to the system of equations correct? Explain why or why not.
Answers
Answer:
Claire should have gotten –2y = –8 instead of 2y = –8 in step 4.
Step-by-step explanation:
Following the steps taken :
4x - 2y = 4 - - - (1)
3x + 3y = 21 - - - (2)
Multiply (1) by 3 and (2) by 2
12x - 6y = 12 - - - (3)
6x + 6y = 42 - - - (4)
Add (3) and (4)
18x = 54
x = 54/18
x = 3
Put x = 3 in (1)
4(3) - 2y = 4
12 - 2y = 4
-2y = 4 - 12
-2y = - 8 (this is where the mistake lies)
It shouldn't be 2y = - 8 as stated
Answer:
The other dude is right.
Step-by-step explanation:
Dan had a large piece of wood that was 10 feet
long. He cut the wood into smaller pieces, each
measuring 1/4 foot. How many pieces of wood
dd Dan cut?
Answers
Answer:
40 pieces of wood
Step-by-step explanation:
Find how many pieces he cut by dividing 10 by 1/4
10 / (1/4)
= 40
So, Dan cut 40 pieces of wood
Sabiendo que la tangente son 4/3 dime el cos y sen estando el angulo en el tercer cuadrante de la circunferencia
Answers
Answer:
sen α = - 4/5
cos α = - 3/5
Step-by-step explanation:
tang α = 4/3
De la relación fundamental de la trigonometría sabemos:
sen² α + cos²α = 1
Dividiendo la ecuación anterior por cos² α
sen²α/cos²α + cos²α / cos²α = 1 / cos² α
tang²α + 1 = 1/ cos² α
(4/3)² + 1 = 1/ cos² α ⇒ 16/9 + 1 = 1/ cos² α
1/ cos² α = ( 16 + 9 ) / 9
1/ cos² α = 25/9
cos² α = 9/25
cos α = 3/5
y para calcular el sen α
sen² α = 1 - cos²α
sen² α = 1 - 9/25
sen² α = ( 25 - 9 )/ 25
sen² α = 16/25
sen α = 4 / 5
Ahora bien el angulo α está en el tercer cuadrante, en ese cuadrante tanto el seno como el coseno son negativos.
Respuesta:
sen α = - 4/5
cos α = - 3/5
If mAD = (17x + 2)°, mAC = (7x - 10°), and m∠ABC = (4x + 15)°, find m∠ABC
Please help
Answers
Answer:
m<ABC = 51degrees
Step-by-step explanation:
The angle at the vertex is half the difference of the angles at the intercepted arcs. Hence;
m<B = 1/2 (arcAD - arcAC)
<ABC = 1/2(17x + 2 -(7x - 10°))
4x + 15 = 1/2(17x-7x+2+10)
2(4x+15) = 10x+12
8x + 30 = 10x+12
8x-10x = 12-30
-2x = -18
x = 18/2
x = 9
Get m<ABC
m<ABC = 4x + 15
m<ABC = 4(9) + 15
m<ABC = 36 + 15
m<ABC = 51degrees
The measure of angle ∠ABC = 51 degree.
Since we know that,
For a circle,
The angle at the vertex is half the difference of the angles at the intercepted arcs.
Therefore,
m∠ABD = 1/2 (arcAD - arcAC)
⇒ ∠ABC = (1/2)(17x + 2 -(7x - 10°))
⇒ 4x + 15 = (1/2)(17x-7x+2+10)
⇒2(4x+15) = 10x+12
⇒ 8x + 30 = 10x+12
⇒ 8x-10x = 12-30
⇒ -2x = -18
⇒ x = 18/2
⇒ x = 9
Get m∠ABC
⇒ m∠ABC = 4x + 15
⇒ m∠ABC = 4(9) + 15
⇒ m∠ABC = 36 + 15
⇒ m∠ABC = 51 degree
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Help not much time.
Answers
Answer:
Cross out no solution because there is no possible way for a math problem to have no solution if a problem were to have a infinite solution there wouldn’t be a solution if it was infinite so the answer i (0, 18)
Step-by-step explanation:
(Time expired.) The graph shows the system of equations below.
2 x minus 3 y = negative 6. y = negative one-third x minus 4
Which statement is supported by the graph?
A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).
B. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is ( –2, –6).
C. The red line represents the equation 2x-3y=6, and the solution to the system of equations is (2, –4).
D. The red line represents the equation 2x-3y=6, and the solution to the system of equations is (–4, 2).
Answers
Answer:
A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).
Step-by-step explanation:
Here we have the system:
2x - 3y = -6
y = -(1/3)*x - 4
First, remember that if the slope is negative, then the equation is decreasing.
So, for the second equation, as x increases, y decreases, then the line of the second equation is the red one (because the red one decreases).
So the blue one represents the equation 2x - 3y = -6
Also remember that the solution of a system of equations is the point where the graphs of the equations intersect, here we can see that the intersection happens at the point (-6, - 2)
This means that the solution of the system is (-6, - 2)
From this, we can see that the correct option is:
A. The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).
A: The blue line represents the equation 2x-3y=6, and the solution to the system of equations is (–6, –2).
Now round 0.065 to the nearest hundredth.
0.065 rounds to?
Answers
Answer:
0.07
Step-by-step explanation:
To round a decimal to the nearest hundredth, look at the thousandths place.
If the number in the thousandths place is greater than or equal to 5, we will round up the hundredths place.
If it is smaller than 5, we will keep the number the same.
In the number 0.065, the thousandths place value is 0.005. So, we will round up the hundredths place.
The hundredths place value is 0.06, so we will round it up to 0.07.
So, 0.065 will round to 0.07.
A premature infant is gaining 2.5 ounces a day. At that rate, how many days will it take for him to gain 8 ounces
Answers
Answer:
3.2 days
Step-by-step explanation:
All you have to do is divide 8 by 2.5
8 ÷ 2.5 = 3.2
4. Becca wants to make a giant cherry pie to try to break the world record. If she succeeds in making a pie with a 20 foot diameter, what will be the total distance around the pie?
Answers
Answer:
62
Step-by-step explanation:
Somebody please help meee!!!!
Answers
Answer:
288.4
Step-by-step explanation:
v=pi r^2 H
Answer:
I think answer is 288.4 plz mark me brainlist
If you want to include closing costs of 5% with your down payment, how much additional money must you save per month?
Answers
Answer:
125.00
Step-by-step explanation:
Wherever necessary.
10. Refer to the table to find the monthly payments necessary to complete parts a -C.
Table of Monthly Payments per $1,000 of Principal
Rale
1 yr
2 yr
3 yr
4 yr
5 ут
10 yr
6.50%
86.30
44.55
30.65
23.71
19.57
11.35
6.75%
86.41
44.66
30.76
23.83
19.68
11.48
7.00%
86.53
44.77
a. What is the monthly payment for a
$3,200 five-year loan with an APR of
9%?
b. Mia borrows$66,000 for four years at
an APR of 7.25%. What is the monthly
payment?
C. What is the total amount of the
monthly payments for a $6,100, two-
year loan with an APR of 8.75%?
Round to the nearest dollar.
30.88
23.95
19.80
11.61
7.25%
86.64
44.89
30.99
24.06
19.92
11.74
7.50% 86.76
45.00
31.11
24.18
20.04
11.87
7.75%
86.87
45.11
31.22
24.30
20.16
12.00
8.00%
86.99
45.23
31 34
24.41
20.28
12.13
8.25%
87.10
45.34
31.45
24.53
20.40
12.27
8.50%
87.22
45.46
31.57
24.65
20.52
12 40
8.75%
87 34
45.57
31.68
24.77
20.64
12 53
9.00%
87.45
45.68
31.80
24.89
20.76
12.67
Answers
Answer: 30,000
Step-by-step explanation:
1. The monthly payment for a $3,200 five-year loan with an APR of 9% is $63.
2. The monthly payment is $1,587.
3. The total amount of the monthly payments is $191.
a. From the table, we can see that the monthly payment per $1,000 principal for a five-year loan with a 9% APR is $19.57.
Since the loan amount is $3,200, we can calculate the monthly payment by multiplying the monthly payment per $1,000 principal by the number of thousands in the loan amount:
= $19.57 x (3,200 / 1,000)
= $62.624
= $63.
b. From the table, we can find that the monthly payment per $1,000 principal for a four-year loan with a 7.25% APR is $24.06.
We can calculate the monthly payment by multiplying the monthly payment per $1,000 principal by the number of thousands in the loan amount:
= $24.06 x (66,000 / 1,000)
= $1,586.76
= $1,587.
c. From the table, we can find that the monthly payment per $1,000 principal for a two-year loan with an 8.75% APR is $31.34.
We can calculate the total amount of monthly payments by multiplying the monthly payment per $1,000 principal by the number of thousands in the loan amount:
= $31.34 x (6,100 / 1,000)
= $191.234
= $191.
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Help me plzzz please please pleaee
Answers
If Ali is x years old, write Omar’s age in terms of x if omar is 6 years younger
Answers
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Ali's age = x
Given that, Omar is 6 years younger than Ali
So, Omar's age = [tex]\large\bold{x - 6}[/tex]
✐ Omar's age in terms of 'x' is x - 6 years.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
in the equation of y equals 2x - 4 what will be the value of y when x = 3
Answers
CAN ANYONE PLEASE HELP ME !!
Answers
Answer:
The answer is 9.
Step-by-step explanation:
This is film in the blank Hera ware the two options
A. Independent
B. Dependent
Answers
Answer:
A. Independent
Step-by-step explanation:
The difference between two numbers is 51 four times the smaller is equal to six more than the larger what are the numbers
Answers
Answer:
Smaller #: 19
Larger #: 70
Step-by-step explanation:
Step 1:
We can set the smaller number as x. We can find the larger number by adding 51, hence represented as 51+x.
Step 2:
We can write an equation with the given information. Four times the smaller number is equal to six more than the larger:
[tex]4x=51+x+6\\3x=57\\x=19[/tex]
If the smaller number represented as x is [tex]\fbox{19}[/tex] , then the larger number represented as 51+x would be [tex]\fbox{70}[/tex] .
I hope this helps! Let me know if you have any questions :)
Find the value of X and Y in the parallelogram
Answers
Answer:
[tex]Find~x:-[/tex]
[tex]4x-37=49[/tex]
[tex]4x=49+37[/tex]
[tex]x=21.5[/tex]
[tex]Find ~y:-[/tex]
[tex]y/5=4x-3[/tex]
[tex]y=5(4*21.5-3)[/tex]
[tex]y=415[/tex]
----------------------hope it helps...have a great day!!The solution to the equation −2(x+11)=−8 is x=
Answers
Answer:
-7
Step-by-step explanation:
-2x-22=-8
-2x=-8+22
-2x=14
X=14/-2
X=-7
if you subtract 1/2 from a number and multiply the result by 1/2 you get 1/8. what is the number?? (pls provide steps)
Answers
Answer:
[tex]Number\ is\ \frac{3}{4}[/tex]
Step-by-step explanation:
Let the number be x
Subtract 1/2 from x = (x - 1/2)
Multiply 1/2 to the result = 1/2(x - 1/2)
The result is 1/8
That is,
[tex]\frac{1}{2}( x - \frac{1}{2}) = \frac{1}{8}\\\\( x - \frac{1}{2}) = \frac{1}{8}\times \frac{2}{1}\\\\(x-\frac{1}{2}) = \frac{1}{4}\\\\x = \frac{1}{4} + \frac{1}{2}\\\\x = \frac{3}{4}[/tex]
find the LCM and HCF of 540 and 792.
Answers
help me please [brainliest to best answer with explanation]
Answers
which type of data is best displayed in a histogram?
-----------------
AnswerC) The daily number of movie tickets sold in January.
-----------------------hope it helps..have a great day!!