Write the equation of the line with a slope of 4 that contains the point (5, 8).
Answers
Answer:
y = 4x - 12
Step-by-step explanation:
y = 4x + b
8 = 4(5) + b
8 = 20 + b
-12 = b
[tex] \green{ \boxed{\boxed{\begin{array}{cc} \maltese \bf \: \: \: we \: know \: that \: \\ \sf \: if \: any \: equation\:of \: line \: which \: slope (m) \\ \sf \: and \: passes \: through \: (x_1,y _1) \: \: then \: its \\ \sf equation \: is \: : \\ \\ \red{ \boxed{ \bf y - y_1 = m(x - x_1)}}\bf\end{array}}}}[/tex]
Given that,
A equation of the line with a slope of m = 4 and that contains / passes through the point (5, 8).
So,
[tex] \green{ \boxed{\boxed{\begin{array}{cc} \bf \: x_1 = 5 \: \: \: \\ \bf y_1 = 8 \\ \bf \: m \: = 4 \: \: \end{array}}}}[/tex]
NOW,
The equation is :
[tex] \green{ \boxed{\boxed{\begin{array}{cc} \bf \: y - 8 = 4(x - 5) \\ \\ = > \bf \: y - 8 = 4x - 20 \\ \\ = > \pink{ \boxed{\bf\:4x - y - 12 = 0}} \end{array}}}}[/tex]
Related Questions
Today, 6 friends went out for lunch. Their total bill was $27.60, including tax and gratuity. They decided to split the bill equally and each paid with a $10 bill. How much money will each person get back?
Answers
Step-by-step explanation:
Right, okay, so this is a bit of a weird one. Let's go step by step.
"Today, 6 friends went out for lunch." = The number 6 is gonna be in our equation somewhere.
"Their total bill was $27.60" = so is the number 27.6
"They decided to split the bill equally" = 27.6 "split equally" (aka divided by) 6 friends is 4.6
"each paid with a $10 bill" = This is where it gets a lil weird. So, if they divided the bill among them, none of their amounts are gonna be anywhere near ten dollars. This is one of those questions that wouldn't really happen in real life. People would probably use fives instead, but whatever. So a number we'll be using for something is 10.
"How much money will each person get back?" = So we have to find the amount they all paid (10) minus the amount each one had to pay (4.6).
To put it all into a full equation...
10 - ( 27.6 / 6 )
Divide.
10 - 4.6
Subtract.
5.4
Put back into money form.
$5.40
Answer:
Each person will get back $5.40.
Answer:
if each paid a $10 bill, in total they paid $60 (cuz 10 x 6)
60 - 27.60 = 32.4
32.4/6 = 5.4 (divide the change between 6 people)
Each person will get $5.40 back.
hope it helps :)
5. Which of the following pairs of operations solve the equation 3x + 5 = 17?
a. subtract 5 then divide by 3
b. divide by 3 then subtract 5
c. add five then multiply by 3
d. multiply by 3 then add five
Answers
Answer:
a
Step-by-step explanation:
3x+5=17
3x=17-5
3x=12
x=4
for all of the questions
with method
thankyou
Answers
Answer:
(i) 7/10
(ii) 3/10
(iii) 1/5
(iv) Rs 40,000
Step-by-step explanation:
The fraction of the salary spent on food = 1/2
The fraction of the salary spent on rented house fee = 1/5
(i) The fraction spent for both food and rental fee = (1/2) + (1/5) = (5 + 2)/10 = 7/10
(ii) The remainder (rest) of the salary = 1 - 7/10 = 3/10
The fraction of the remainder spent for children's education = 1/3
The fraction of the total salary spent for the children's education = (1/3) × (3/10) = 1/10
(iii) The remaining portion deposited in the bank = 1 - (1/10 + 7/10)) = 2/10 = 1/5
(iv) The amount equal to portion of 1/5 of his salary deposited in the bank is Rs 8000
Let x represent his whole salary, we have;
(1/5) × x = Rs 8,000
x = 5 × Rs 8,000 = Rs 40,000
His whole salary is Rs 40,000.
Which answer choice correctly solves for a and b?
Answers
Answer:
C
Step-by-step explanation:
Using the sine ratio and the exact value sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{6}{a}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
a = 6[tex]\sqrt{2}[/tex]
Using the tangent ratio and the exact value tan45° = 1 , then
tan45° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{6}{b}[/tex] = 1 , so
b = 6
rationalize the denominator of 7+3√2
Answers
Answer:
31
Step-by-step explanation:
To rationalise 7 + 3[tex]\sqrt{2}[/tex] , multiply by its conjugate
The conjugate of 7 + 3[tex]\sqrt{2}[/tex] is 7 - 3[tex]\sqrt{2}[/tex] , then
(7 + 3[tex]\sqrt{2}[/tex])(7 - 3[tex]\sqrt{2}[/tex]) ← expand using FOIL
= 49 - 21[tex]\sqrt{2}[/tex] - 21[tex]\sqrt{2}[/tex] - (3[tex]\sqrt{2}[/tex])²
= 49 - 18
= 31
In Exercises 51−56, the letters a, b, and c represent nonzero constants. Solve the equation for x
ax + b = c
Answers
Answer:
x = (b-c)/a
Step-by-step explanation:
ax + b = c
Subtract b from each side
ax+b-b = c-b
ax = b-c
Divide by a
ax/a = (b-c)/a
x = (b-c)/a
Answer:
x= (C-B)A
Step-by-step explanation:
In an IQ test, 4 marks are given for every correct answer and 2 marks are deducted for every wrong answer. If Crystal answered 30 questions and scored 84 marks, how many of her answer were correct?
Answers
4x30=120
120-84=36
36/2=18
So the correct answer is 18.
$60 is shared between Ali, Ben and Carol in the ratio of 5 :3 : Z How much does Ben get?
Answers
Answer:
the answer is 100:60:40 hope it helps
The largest U.S. standard postage stamp ever issued has a width of about
3
1 inch, which was of the height of the stamp. Find the height of the stamp.
4.
Answers
Answer:
SOLUTION: " The largest US standard postage stamp ever issued has a width of about 1 inch, which was 3/4 of the height of the stamp. Write and solve an equation to find the height of the st
can someone help me with this
Answers
Answer:
Infenitely many solutions
I don't understand this at all ( PICTURE ) please help with a simple explanation if you can. 15 Points and Marking Brainliest, Reporting fakes.
Answers
If m2 DOC = 44º and m2 COB = 80°,
find the measure of the indicated arc
in circle o.
mCB = [?]°
Answers
Answer:
80°
Step-by-step explanation:
m<COB = 80°, it's the central angle for arc CB,
so mCB = 80°
5. Which pair of equations represents parallel lines?
A. y =2x+7
Y=2x-7
B. Y=7
X=7
C. Y=2x-7
Y=-1/2-7
D. Y=2x+7
Y=x+7
Answers
Answer:
C
Step-by-step explanation:
PLSS HELPP
I already know the answer just help me by plotting them in the graph.
Answers
Answer:
plotting the (x,y) coordinates in graph
what represents the distance traveled and time spent traveling
Answers
Answer:
b) y
Step-by-step explanation:
joannes speed = 250/2.5 =100km/h
francois speed = 100-10 = 90km/h
after 5h, francois would have travelled 450
6 less than the product of 5 and a number
A. 5-6n
B. 6+5n
C. 5(n - 6)
D. 5n-6
Answers
Answer:
D.
Step-by-step explanation:
5 times a number is 5n. We need to subtract 6 from that, so we have 5n-6 for any value n.
Answer:
D. 5n - 6
Step-by-step explanation:
6 less means -6
The product of 5 and a number means 5 x n which is the same as 5n
And it wants us to subtract 6 from 5n
so we would write it as...
5n - 6
can someone please help me out marking brainliest
Answers
Hope your day is going well
2. C
3. B
4. A
5. D
6. A
Hope this helps *smiles*
Sorry if it’s wrong
Help please anyoneee
Answers
Answer:
here's the answer to your question
Which graph represents the piecewise function?
Answers
Answer:
C i think sorry if its wrong
Step-by-step explanation:
Answer:
bottom left one
note the >, < ≤ , ≥
for x > 0 the dot should NOT be solid
Step-by-step explanation:
pls help. i will give brainliest
Answers
Answer:
247 = j - 285
Step-by-step explanation:
Anything that is labeled with "is" will be what the entire equation is equal to. (Also because the instructions are asking for an equation which is equal to something). Also, fewer than is the subtraction of two things. In this case it will be 285 and j. In the end the equation will be:
247 = j - 285
Hope this helped.
A package of 3 pairs of insulated gloves costs $26.07. What is the unit price of the pairs of
gloves?
Answers
Answer:
8.69 per pair
Step-by-step explanation:
Take the total cost and divide by the number of pairs
26.07 /3
8.69 per pair
Copy and complete the table.
Answers
Answer:
See pic below.
Step-by-step explanation:
Which equation matches the graph shown?
Answers
[tex]we conclude that option B:[/tex]
[tex]y + 5 = -\frac{1}{2}*(x - 3)^2[/tex]
[tex]Is the graphed function.[/tex]
Which equation matches the graph shown?On the graph we can see a parabola that opens downwards, so it has a negative leading coefficient.
We also can see that the vertex of the parabola is on the point (3, -5)
Then the equation of the parabola is something like:
y + 5 = a*(x - 3)^2
Where a is a negative real number.
The only option of this form is option B, so we conclude that option B:
[tex]y + 5 = -\frac{1}{2}*(x - 3)^2[/tex]
Is the graphed function.
If you want to learn more about parabolas:
https://brainly.com/question/4061870
#SPJ1
Please hurry I will mark you brainliest
Answers
Answer:
The sum of interior angle is 360°
Find the value of x in the parallelogram.
Answers
Answer:
75
Step-by-step explanation:
Since the two angles are on the same side of the parallelogram, they're supplementary.
x + (2x - 45) = 180
3x - 45 = 180
3x = 225
x = 75
On a spinner I have a 0.1% chance of getting a 5. How many times do I need to spin to get 5?
Answers
Answer:
[tex]\frac{1}{10} * \frac{1}{100} = \frac{1}{1000}[/tex]
1000 times
Step-by-step explanation:
Answer:
0.1% = 1 spin then
100% = ( 100×1) ÷0.1 = 1000
we are using 100% because its a sure bet it will happen but not logically
the answer is 1000
Given m||n, find the value of x.
t
(9x+23)
m
(10x+6)
an
Answer:
Submit Answer
attempt 1 out of 2
Pls help I’ve already got it wrong once
Answers
Answer:
x=17
Step-by-step explanation:
These are alternate interior angles and alternate interior angles are equal when the lines are parallel
9x+23= 10x+6
Subtract 9x from each side
9x+23 -9x= 10x-9x+6
23 = x+6
Subtract 6 from each side
23-6 = x+6-6
17 =x
Find the volume of this sphere please
As soon as possible.
Answers
==========================================================
Explanation:
"Use 3 for pi" is something I've never seen a teacher do before. Usually it's "use 3.14 for pi".
Anyway, the diameter of this cylinder is 2 inches, which cuts in half to 1 inch. This is the radius.
The height is 10 inches.
So we have r = 1 and h = 10
V = pi*r^2*h
V = 3*1^2*10
V = 30 cubic inches approximately
Answer:
V = 30
Step-by-step explanation:
1. lets find the radius
r = 1/2 diameter
2/2 = 1
r = 1
2. plug in our info into the equation!!!- using 3 for pi as said in the question
V = (pi) r^2 h
V = (3)*(1)^2*(10)
3. solve
V = 30
Combine and simplify these radicals. 160 40
I AM TIMED!!!
Answers
Answer:
200
hope it help
Answer:
160
Step-by-step explanation:
got it right
I NEEDDDD HELPPPPP ITS URGENTTTTTT!!!!!
Answers
Answer:
m<XUY = 40
Step-by-step explanation:
The central angles theorem states that in a circle, the measure of an angle with its vertex on the center of the circle is equal to the angle measure of the arc surrounding it. As a given fact, the sum of degree measures in a circle is (360) degrees. Thus, one can form the following equation:
(mZUV) + (mVUW) +(mWUX) +(mXUY) + (mYUZ) = 360
Substitute,
(-15x) + (30) + (90) + (x + 47) + (95) = 360
Simplify,
(-15x) + (30) + (90) + (x + 47) + (95) = 360
-14x + 262 = 360
Inverse operations,
-14x + 262 = 360
-14x = 98
x = -7
Substitute back into the equation for the measure of angle (<XUY)
m<XUY = x + 47
= -7 + 47
= 40
