1. Write the equation of a line parallel to y = -2x + 10 that passes through point (2, 4).
Answers
Answer:
y - 4= -2(x - 2)
Step-by-step explanation:
(This answer is in point slope form, if you need the answer in a different form like slope intercept, you would have to distribute the negative 2 and bring the negative 4 to the right side.)
So, you know the line is parallel to the equation y= -2x + 10. We know that parallel lines must have the same slope, so the answer will have a slope of negative 2. Because they have given you a point that the line passes through, we are going to put the answer in point slope form. we know a point and we know the slope, hence it is called point-slope.
Point slope form is y - y₁ = m(x - x₁). The m stands for the slope, and the x₁ and y₁ is where you will plug in the x and y coordinates (2,4) .
So to plug in the numbers into point slope form it would be y - 4 = -2 (x - 2). hope this helped :)
Related Questions
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
1) Slope = 6, y-intercept = 5
2) Slope = -1/3, y-intercept = 1
Answers
Answer:
1.) y= 6x+5
2.) y= -1/3x+1
Step-by-step explanation:
Slope Intercept Form is y=mx+b,
where slope is m
the y-intercept is b
So I just plugged in the slope and y-int to get the equation
PLEAse i need help brainlist if u get it right
Answers
Answer:
C) The resulting figure will be congruent to the original rectangle, because dilations with a scale factor of 1 have the same coordinates.
Step-by-step explanation: Multiplying any number by 1 will result in the same number, this applies to coordinates as well.
write the equation of a line parallel to the line with an equation y=8x+6 and passes through the point (3,9)
Answers
Answer:
y = 8x - 15
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 8x + 6 ← is in slope- intercept form
with slope m = 8
Parallel lines have equal slopes, thus
y = 8x + c ← is the partial equation
To find c substitute (3, 9) into the partial equation
9 = 24 + c ⇒ c = 9 - 24 = - 15
y = 8x - 15 ← equation of parallel line
Can someone please help me on 7
Answers
Answer:
B
Step-by-step explanation:
plug in 5
5^2-5(4)+7=12
===========================================
Work Shown:
A.
f(x) = 3x-8
f(5) = 3*5-8 ... replace every x with 5; simplify with PEMDAS
f(5) = 15-8
f(5) = 7
We can cross choice A off the list since we got 7 as an output, instead of 12.
---------------
B.
f(x) = x^2-4x+7
f(5) = (5)^2-4(5)+7
f(5) = 25-4(5)+7
f(5) = 25-20+7
f(5) = 5+7
f(5) = 12
We got the output we wanted. So we can stop here.
---------------
If you're curious about the others, then,
C.
f(x) = -x+14
f(5) = -5+14
f(5) = 9
That doesn't work, so we cross choice C off the list.
---------------
D.
f(x) = |x-7|
f(5) = |5-7|
f(5) = |-2|
f(5) = 2
Choice D is crossed out as well.
So only choice B works.
EXPLAIN HOW YOU GOT 3 AND 4 WITH STEPS PLS ITS URGENT
Answers
Answer:
2. x=25°
3. x=15°
4. x=26°
Step-by-step explanation:
For problem 2, we know the sum of the angles of a triangle is 180°. Also, supplementary angles are 180°.
30+20+x=180 [combine like terms]
50+x=180 [subtract both sides by 50]
x=130
Now that we have the missing angle, we can use that to solve for x.
2x+130=180 [subtract both sides by 130]
2x=50 [divide both sides by 2]
x=25°
Now, we know that x=25°.
For problem 3, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.
8x+25+2x+5=180 [combine like terms]
10x+30=180 [subtract both sides by 30]
10x=150 [divide both sides by 10]
x=15°
Now, we know that x=15°.
For problem 4, we know the sum of the angles of a triangle is 180°. This means, we add all the angles together and get 180°.
x+12+52+90=180 [combine like terms]
x+154=180 [subtract both sides by 154]
x=26°
Now, we know that x=26°.
Answer:
3. x = 5 4. x = 26
Step-by-step explanation:
3.
(2x + 5) + 8x + 25 = 180
10x +30 = 180
10x = 150
x = 15
4.
52 + 90 + x+12 = 180
52 + 90 + 12 = 142
x + 142 = 180
x = 180 - 154
x = 26
What is the equation in point slope form for a linear function with a slope of m=−4 that passes through the point (2,−7)?
Answers
Answer: y+7=-4(x-2)
Step-by-step explanation:
point slope formula is y-y1=m(x-x1)
it gives you m = -4
(x1,y1) = (-1,-7)
y-(-7) = -4(x-2)
negative of a negative number is positive
y+7=-4(x-2)
you leave that as your answer because thats what point slope for is
its in that form ^
The equation in point slope form for a linear function is [tex]y=4x+15[/tex]
Given the following points:
Points on the x-axis = 2 Points on the y-axis = -7 Slope, m = -4
To write an equation in point slope form for a linear function:
The standard form of an equation of line is given by the formula;
[tex]y-y_1=m(x-x_1)[/tex]
Where:
x and y are the points. m is the slope.Substituting the given parameters into the formula, we have;
[tex]y-(-7)=-4(x-2)\\\\y+7=4x-8\\\\y=4x-8+7\\\\y=4x+15[/tex]
Read more: https://brainly.com/question/18123312
Pocndnsmwntjjwbsnsns. Dhaka be d
Answers
Answer: m = 4
Step-by-step explanation: 2x4+5=13, 2x4=8 and 8+5=13.
7th grade math , I’ll give brainliest
Answers
Answer:
3. 11
4. -8
Step-by-step explanation:
What is the equation for this line?
Answers
Answer:
The equation of the line is y = 2x - 3
Step-by-step explanation:
The form of the linear equation is y = m x + b, where
m is the slope of the line, [tex]m=\frac{y2-y1}{x2-x1}[/tex] b is the y-intercept (value y at x = 0)Let us take two points on the line to find its equation
∵ Points (3, 3) and (0, -3) lie on the line
∴ x1 = 3 and y1 = 3
∴ x2 = 0 and y2 = -3
→ Use the rule of the slope above to find m
∵ [tex]m=\frac{-3-3}{0-3}=\frac{-6}{-3}=2[/tex]
∴ m = 2
→ Substitute its value in the form of the equation above
∴ y = 2x + b
∵ b is the value of y at x = 0
∵ y = -3 at x = 0
∴ b = -3
→ Substitute it in the equation above
∴ y = 2x + -3
→ Remember (+)(-) = (-)
∴ y = 2x - 3
∴ The equation of the line is y = 2x - 3
Select the correct answer. Given: ∆ABC Prove: A midsegment of ∆ABC is parallel to a side of ∆ABC. Statement Reason 1. Define the vertices of ∆ABC to have unique points A(x1, y1), B(x2, y2), and C(x3, y3). given 2. Let D be the midpoint of and E be the midpoint of . defining midpoints 3. definition of midpoints 4. slope of slope of definition of slope 5. slope of = slope of Transitive Property of Equality 6. definition of parallel lines 7. Let F be the midpoint of . defining a midpoint 8. definition of midpoint 9. slope of slope of definition of slope 10. 11. definition of parallel lines 12. Similarly, is parallel to . steps similar to steps 1−11 What is the missing step in this proof? A. Statement: slope of = slope of Reason: definition of slope B. Statement: slope of = slope of Reason: Transitive Property of Equality C. Statement: DF = BC Reason: Corresponding sides of congruent triangles are congruent. D. Statement: ∆ADF ≅ ∆ABC Reason: ASA
Answers
Answer:
B) Statement: slope of df = slope of bc
Reason: Transitive Property of Equality
Step-by-step explanation: i just took the test.
Answer:
C. Transitive Property of Equality
Step-by-step explanation:
8v-34= 6(v-4)
Solve for v
Answers
Answer:
v=5
Step-by-step explanation:
A new four way intersection is being constructed in New York Hyde park through point P(-3,-15) an equation of the line representing one road is y = -3/4x + 7 create an equation of the line representing the new road that will run perpendicular to the first road
Answers
Given:
A new four way intersection is being constructed in New York Hyde park through point P(-3,-15).
Equation of line of one road : [tex]y=-\dfrac{3}{4}x+7[/tex].
New road that will run perpendicular to the first road
To find:
The equation of line for the new road.
Solution:
The slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
We have,
[tex]y=-\dfrac{3}{4}x+7[/tex]
Slope of this line is [tex]-\dfrac{3}{4}[/tex] and y-intercept is 7.
Product of slopes of two perpendicular line is -1.
[tex]m_1\times m_2=-1[/tex]
[tex]-\dfrac{3}{4}\times m_2=-1[/tex]
[tex]m_2=\dfrac{4}{3}[/tex]
The point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope.
The slope of new line is [tex]\dfrac{4}{3}[/tex] and it passes through P(-3,-15). So, the equation of line of new road is
[tex]y-(-15)=\dfrac{4}{3}(x-(-3))[/tex]
[tex]y+15=\dfrac{4}{3}(x+3)[/tex]
[tex]y+15=\dfrac{4}{3}x+4[/tex]
Subtract 15 from both sides.
[tex]y=\dfrac{4}{3}x+4-15[/tex]
[tex]y=\dfrac{4}{3}x-11[/tex]
Therefore, the equation of the line representing the new road is [tex]y=\dfrac{4}{3}x-11[/tex].
PLEASE HELP AND SHOW WORK PLS
Answers
(x=5x) (x+3)
5x/3x
2x
8^ 1/3 what is it simplified
Answers
Step-by-step explanation:
Simplifying mixed numbers
Following are the steps to simplify mixed fractions: Find the highest common factor (HCF) of numerator and denominator of the fraction part. Divide both the numerator and the denominator by HCF. The whole number part will remain the same.
Answer:
8^1/3= 2
:-))))
What is the equation of the line that passes through the point (5, 1) and has a slope
of 1?
Answers
Answer:
y=1x-4
Step-by-step explanation:
Point Slope Formula: y=m(x-x1)+y
y=1(x-5)+1
1x-5+1
y=1x-4 (y=mx+b)
Can someone please help me asap I’ll mark brainlist!!!!!
Answers
Answer:
No because the aren’t equalll
Step-by-step explanation:
Is this ggod
Answer:
No
Step-by-step explanation:
32/4 = 8
72/10 = 7.2
Jenny ran 5 more miles this week than she ran last week. Let t be the number of miles she ran last week. Write an expression that tells how many miles she ran this week.
Answers
Answer:
t+5+x
Step-by-step explanation:
It says Jenny ran 5 more miles than last week so you find the number from last week then add 5. X is the miles she ran this week
Answer:
t + 5
Step-by-step explanation:
In this problem, you have to recognize what the information is telling you in terms of the vocabulary used. For example, the first sentence tells us that she ran 5 more miles than last week. This is key because it lets us know that our expression will have an addition sign.
Once you recognize that the problem is telling you to add 5 to her previous distance, you get a final expression of t + 5. Hope this helps!
Find the product 0.025 x 7
A. 0.0175
B: 0.175
C. 1.75
D. 17.5
Answers
Answer:
b
Step-by-step explanation:
used a calucator
find the DIFFERENCE between 901.28 and 375.54
Answers
Answer:
Pretty sure its 525.74
Identify the slope and y- intercept of the linear equation.
y = -2x + 5
Slope:
y-intercept:
Answers
Answer:
Slope= -2
y-intercept= 5
Step-by-step explanation:
how is a dilation different from other transformations?
Answers
Do przygotowania jednej porcji gofrow potrzeba 1 i pul szklanki maki pszennej, 1i jedna trzecia szkalanki mleka oraz 0,5 szkalnki oleju pszennego. Szklanka maki wazy 16 dag, szklanka mleka-24 dag, a szklanka oleju-21,5 dag.Ile dekagramow waza lacznie skladniki potrzeba na jedna porcje gofrow?
Answers
Odpowiedź:
5,075 dekagramu
Wyjaśnienie krok po kroku:
Biorąc pod uwagę, że:
Na jedną porcję gofra:
mąka pszenna = 1 szklanka
mleko = 1 szklanka
olej pszeniczny = 0,5 szklanki
Waga na filiżankę:
1 szklanka mąki = 16 gramów
Szklanka mleka = 24 g
Dziewczęta oliwy = 21,5 g
Na jedną porcję gofra:
(1 * 16 gramów) + (1 * 24 gramów) + (0,5 * 21,5 gramów)
16 gramów + 24 gramów + 10,75 gramów
= 50,75 grama
Odwołanie :
1 gram = 0,1 dekagramu
50,75 gramów = (50,75 * 0,1)
= 5,075 dekagramu
Why is it important the order we write the vertices of a triangle in a congruent statement? SELECT ALL THAT APPLY!
The middle letter is the vertex of the angle.
The order tells us what sides are congruent.
The order does not matter
The order tells us what angles are congruent.
Answers
Answer:
The order tells us what sides are congruent.The order tells us what angles are congruentIt is important that we write the vertices of a triangle in a congruent statement, because it will tell us if the sides and angles are congruent.
Hope this helps you!
10.7+(-3.5) help plz
Answers
7.2
Step-by-step explanation:Hi there !
10.7 + (-3.5) =
= 10.7 - 3.5
= 7.2
Good luck !
Hilda adds 5 to a number, then multiplies the sum by negative 2. The result is 6. Write and solve an equation to find the number, x.
What is the number?
plssssssssssssssss
Answers
(X + 5) * -2 = 6
X+ 5 = -3
X = -8
is so eassy 2 puls 2
Answers
Answer:
4
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
plz help important!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
the cost of gas i think
Step-by-step explanation:
i dont really know
Answer:
I think it is, B( The length of the route
Step-by-step explanation:
1. You pay $25.00 to fill up the 13-gallon gas tank of your internal combustion engine car.
How much are you paying for one gallon of gas?
Answers
Answer:
$1.92 a gallon!!
Step-by-step explanation:
Answer:
You will pay $1.92 per gallon.
Step-by-step explanation:
Divide 25.00 by 13 to by how much money per gallon:
[tex]25.00/13=1.923[/tex]
You cannot round up.
You will pay $1.92 per gallon.
-Hope this helps! :)
In the winter, a town has a low of -5°F. In
the summer, the same town has a high of
98°F. What is the difference in temperature?
[? ]°F
Answers
Answer:
-5f is lower than summer 98°f
Step-by-step explanation:
n the winter, a town has a low of -5°F. In
the summer, the same town has a high of
98°F. What is the difference in temperature?
Lionel Messi, who is running 20 feet per second is 15 feet behind Cristiano Ronaldo who is running at 17 feet per second. How long will it take Messi to catch up with Ronaldo?
Answers
Answer:
15 feet
Step-by-step explanation:
Answer:
15 feet
Step-by-step explanation: