find the equation of the linethe line passes through the points (5,2) and (-4,-4)
Answers
Answer:
[tex]y = \frac{2}{3}x - \frac{4}{3} [/tex]
Step-by-step explanation:
first find the slope using the above points then use the slope formula to calculate the slope
[tex]m = \frac{y2 - y1}{x2 - x1} \\ \frac{2 - - 4}{5 - - 4} = \frac{2 + 4}{5 + 4} = \frac{6}{9} = \frac{2}{3} [/tex]
substitute ⅔ for m and one of the above points into the y-intercept form of the equation for a line and solve for b
[tex]y = mx + b \\ 2 = \frac{2}{3} (5) + b \\ 2 = \frac{10}{3} + b \\ 2 - \frac{10}{3} = b \\ \frac{6}{3} - \frac{10}{3} = b \\ b = - \frac{4}{3} [/tex]
substitute the slope and the value for b into the equation to get the answer
[tex]y = \frac{2}{3} x - \frac{4}{3} [/tex]
Related Questions
2. Lilly and Laura pooled their money to purchase
their brother, Liam, a video game for his birthday.
The video game cost a total of $45. If Laura was
only able to contribute 2/3 of what Lilly did, how
much did Laura put toward the present?
F. $18
G. $21
H. $24
J. $27
K. $30
(Retyped)
Answers
Multiply 45 x 2 then divide by 3.
:)
Laura put $18 toward the present. Therefore, the correct answer is F. $18. Let's use variables to represent the amounts that Lilly and Laura contributed.
Let L be the amount Lilly contributed and 2/3L be the amount Laura contributed.
According to the information given:
L + 2/3L = $45
To solve for L, combine the terms with L:
1L + 2/3L = $45
To combine the fractions, find a common denominator:
(3/3)L + 2/3L = $45
Now, the fractions have a common denominator:
(5/3)L = $45
To isolate L, divide both sides by 5/3:
L = $45 / (5/3)
To divide by a fraction, multiply by its reciprocal:
L = $45 * (3/5)
L = $9 * 3
L = $27
So, Lilly contributed $27.
Now, to find how much Laura contributed:
Laura's contribution = 2/3L = 2/3 * $27 = $18
To know more about Laura:
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Evaluate the expression when m= -3. m² +8m-7
Answers
Answer:
2
Step-by-step explanation:
When we differentiate this we will be having:
2m+8
therefore;
2(-3)+8
-6+8
= 2
At the reunion, they have a hot dog eating contest. Michael ate 3 more hot dogs than half as many as Crystal. Eric ate twice as many hot dogs as Michael. Write an algebraic expression to represent how many they each ate. If Crystal ate 12 hot dogs, how many did they all three eat in total?
Answers
Answer: 39 hot dogs
M= 3 + half of C , E= 2 × M , C= 12
Step-by-step explanation:
M= 3 + (half of C=12÷2) 6= 9
E=2×9=18
total= 12 + 9 + 18= 39
Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs
$3.25. Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most $30 before tax.
The restaurant only sells pancakes in stacks of 4 pancakes for $5.50.
1) Which inequality describes this scenario?
Let S represent the number of stacks of pancakes that Benjamin buys. What is the largest number of pancakes that Benjamin can afford?
Answers
Answer:
3.25 + 5.50S is less than or equal to 30
Consider the linear function f(x)=4x -5.
Find f(3), f(0), f(-2).
Answers
Answer: f(3)= 7, f(0)= -5, f(-2)= -13
Step-by-step explanation:
Substitute and plug in.
For f(3), we plug in 3 for x in the equation.
So, 4(3)-5, which is just 12-5, which is 7
We do the same for f(0),
4(0)-5, which is 0-5, which is -5
Once again for f(-2),
4(-2)-5, which is -8-5, which is -13
Hope this helps!
what is the answer to 3x-33=3
Answers
Answer:
12
Step-by-step explanation:
The equation 20x2=4kx−13kx2+2 where k is a constant, has no real roots. It can be shown that k satisfies the inequality 2k2+13k+20<0.
Find the set of possible values for k.
Answers
Answer:
16k with the little 2 by the k so like 16k2-4(2)(-5k)
Step-by-step explanation:
ANSWER IS -5/2<K<0.
The set of possible values for k is -4<k<-5/2.
The given equation 20x²=4kx-13kx²+2 and the inequality is 2k²+13k+20<0.
What are the roots?For a given quadratic equation ax² + bx + c = 0, the values of x that satisfy the equation are known as its roots. i.e., they are the values of the variable (x) which satisfies the equation. The roots of a quadratic function are the x-coordinates of the x-intercepts of the function.
The given equation has no real roots.
4kx-13kx²+2-20x²=0
⇒ 4kx-x²(13k+20)+2 = 0
If the discriminant of a quadratic function is less than zero, that function has no real roots.
Compare 4kx-x²(13k+20)+2=0 with ax² + bx + c = 0, we get a= - (13k+20), b=4k and c = 2.
So, b²-4ac<0
(4k)²-4(-(13k+20))(2)<0
⇒ 16k²+8(13k+20)<0
⇒ 8(2k²+13k+20)<0
⇒ 2k²+13k+20<0
Using splitting middle term method, we get
2k²+8k+5k+20<0
⇒ 2k(k+4)+5(k+4)<0
⇒ (k+4)(2k+5)<0
⇒ -4<k<-5/2
Therefore, the set of possible values for k is -4<k<-5/2.
To learn more about a inequality visit:
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Please solve this equation
Answers
Answer:
125
Step-by-step explanation:
Complete the table of values for y = - x2 - 6x - 4
Choose five x values so that you accurately show its shape and plot the points
on the graph provided. These should include the turning point and points around it.
8
х
-2
-1
0
1
2
6
у
Х
Х
Х
Х
4
[10]
2.
Drag the crosses to the
correct points on the graph.
X
0
-4
-2
2.
4
[5]
-2
Answers
Answer:
x= -2 —> y= 4
x = -1 —> y = 1
x = 0 —> y = – 4
x = 1 —> y = – 11
x = 2 —> y = – 20
I hope I helped you^_^
how to solve step by step
P=2(l+w), solve for w. [hint: isolate w]
Answers
P/2=I+w
W= p/2 - I
Function? Captionless
Yes
No
Answers
please help me to solve problems
Answers
Step-by-step explanation:
a.= 6
c.=7
f.=3
i only know this
What % of 140 is 84?
Answers
I hope this helps! If can please mark brainiest.
ANSWER:
[tex]60[/tex]
PLS help it’s due tomorrow I’ll give brainless
Answers
2y=-3x+8
y=(-3/2)x+4
The slope of the line that is perpendicular to this is 2/3
The perpendicular line passes through the y-intercept of this line, which is 4
The equation of the perpendicular line is:
y= (2/3)x+4
please help
Simplify 3 - (2- 8).
O -1
O 7
O -7
O 9
Answers
Answer:
9
Step-by-step explanation:
3-(2-8)
3-(-6)
3+6
9
Find the probability of taking a vacation in July.
This is literally all i have to go with can someone help pls.
Answers
Answer:
1/2
Step-by-step explanation:
Mr. Lee bought rock to landscape around his house. He bought seven ton of rock for $151.13. How much did the rock cost per ton?
$21.59
$144.13
$21.60
$20.95
Answers
Answer:
A. $21.59
Step-by-step explanation:
$151.13 ÷ 7 tons= $21.59 each per ton
Please please help
Provide the missing statement and reasons for the following proof:
Given: 9(x−6)+41=75Prove: x=889
Given:
9
(
x
-
6
)
+
41
=
75
Prove:
x
=
88
9
Answers
Step-by-step explanation:
Statement. Reason
→ 9(x-6)+41 = 75. Transposing the like terms.
→ 9(x-6) = 75 - 41 Performing subtraction of the term in RHS
→ 9(x-6) = 34 Performing multiplication in LHS.
→ 9x - 54 = 34 Distributive property
→ 9x = 34 + 54 Performing addition of the term in RHS.
→ 9x = 88. Now, transpose 9 from LHS to RHS , it's arthmetic operator will get changed.
→ x = 88/9
0.8x − 11 = 0.3x + 41
Answers
Answer:
0.8x − 11 = 0.3x + 41
0.8x-0.3x=41+11
0.5x=52
x=52/0.5
x=104
Answer:
x = 104
Step-by-step explanation:
0.8x - 11 = 0.3x + 41
0.8x - 0.3x = 41 + 11 (collecting the variables on one side)
0.5x = 52
x = 52 / 0.5
x = 104
pls help me i will brainliest u if u answer it correct
Answers
Answer:
1. D
2. A
3. B
4.C
5. D
6. B
7. B
8.D
9. B
10. A
11. B
12. A
13. C
14. C
15. A
this is an urgent call for help plz help me im kinda lost on this
Answers
Answer:
Step-by-step explanation:
so go to the f g c and multiply my 6
Kevin uses a coupon for 75% off one item. He only pays $3.00 for a train set. How much money was the train set originally?
Answers
Answer:
$12
Step-by-step explanation:
$3.00 is 25%
what about 100%
3.00×100=300÷25= 12.00
Multiply.
-1/4 times (-2/5
Write your answer in simplest form.
Answers
Answer:
1/10
Step-by-step explanation:
[tex]-\frac{1}{4} * -\frac{2}{5}\\\\= \frac{2}{20}\\\\=\frac{1}{10}[/tex]
Feel free to mark this as brainliest! :D
10+10+10+10-10-10-10-10-10-10-10-10-10-10-9
Answers
Answer:
-69
Step-by-step explanation:
40-100-9
Answer:
9
Step-by-step explanation:
Can someone plss help me with this!!
QUESTION: b(a-6)
Answers
Answer:
5 – 6 (b + 1) = 5 + ( – 6 ) × b + (– 6) × 1 = 5 – 6b – 6 = – 6b – 1. Example 1: Simplify: 5(a – 4) + 3 = 8.
explanation: your welcome
Step-by-step explanation:
what do you mean ? you need to multiply this out ? or what is the problem ?
just to multiply this :
b(a-6) = ba - 6b
or with full symbols for operations
b×(a-6) = b×a - 6×b
evaluate the expression shown below and write your answer as a fraction in simplest form. 9/4-11/6
Answers
Answer: 5/12
Step-by-step explanation:
9/4 - 11/6
=
9/4 + -11/6
=
27/12 + -22/12
=
27 + −22/12
=
5/12
if p:q = 1/3:2 and p:r = 1/2:3/4 calculate the ratio p:q:r
Answers
Answer:
p:q=1/3:2=1:6=3:18
p:r=3/4:1/2=3:2
p:q:r=3:18:2
i hope its help to you ✌
can you please help me
Answers
Step-by-step explanation:
5) angle 5 = 69°
than, angle 10 = 69° ( alternate interior angle )
6) angle 6 = 115° ( alternate interior angle )
7) angle 7 = 118° ( alternate interior angle )
8) angle 11 = angle 4 - 180
→ 72 - 180 = 108°
therefore, angle 11 = 108°
9) angle 14 = 114° - 180
→ angle 14 = 66°
10) angle 12 = 86° ( alternate interior angle)
hope this answer helps you dear...take care!
Answer:
5. 69 degrees
6. 115 degrees
7. 118 degrees
8. 108 degrees
9. 66 degrees
10. 86 degrees
Step-by-step explanation:
A submarine travels 8.3 km due North from its base and then turns and travels due West for 13.9 km.
How far away is the submarine from its base?
Give your answer rounded to 1 DP
Answers
Answer:
He is 5.6 km away
Step-by-step explanation:
he starts traveling away from base and is 8.3 km away to start with
then he turns west and travels 13.9 km away
what this mean is that you have to subtract the distance he turned from the distance he started off with
ex: 13.9 - 8.3 = 5.9
to get your answer of how far away he is from the base
Which of the following represents a biconditional statement
Answers
Answer:
B
Step-by-step explanation: