Answer & Step-by-step explanation:
When two lines are parallel, their slopes are the same. To find the slope of the given equation, convert to slope-intercept form:
[tex]y=mx+b\\\\[/tex]
m is the slopeb is the y-intercept, which is the value of y when the value of x is zerox and y are the corresponding coordinate points (x,y)[tex]6x-5y=15[/tex]
Solve for y. Subtract 6x from both sides:
[tex]6x-6x-5y=15-6x\\\\-5y=-6x+15[/tex]
Divide both sides by -5:
[tex]\frac{-5y}{-5} =\frac{-6x}{-5} +\frac{15}{-5} \\\\y=\frac{6}{5}x-3[/tex]
The slope is [tex]\frac{6}{5}[/tex].
Now you need to make an equation in point-slope form:
[tex]y-y_{1}=m(x-x_{1})[/tex]
m is the slope[tex]x_{1}[/tex] and [tex]y_{1}[/tex] are the coordinate pointsInsert known values:
[tex]y-4=\frac{6}{5}(x-5)[/tex]
You can use this equation, or you can convert to slope-intercept form by solving for y:
Use the distributive property:
[tex]y-4=\frac{6}{5} x-6[/tex]
Add 4 to both sides:
[tex]y-4+4=\frac{6}{5}x-6+4\\\\ y=\frac{6}{5}x-2[/tex]
:Done
The equation of the perpendicular line is [tex]y = \frac 65x - 2[/tex]
The equation of the line is given as:
[tex]6x -5y = 15[/tex]
Start by calculating the slope (m) of the line as follows:
[tex]6x -5y = 15[/tex]
Subtract 6x from both sides
[tex]-5y = 15 - 6x[/tex]
Divide both sides of the equations by -5
[tex]y = -3 + \frac65x[/tex]
Rewrite as:
[tex]y = \frac65x-3[/tex]
For a linear equation, y = mx + b, the slope of the line is m
So, the slope is:
[tex]m = \frac65[/tex]
The equation of the line is said to be parallel to the above equation
So, the slope of the line is:
[tex]m = \frac65[/tex]
The line is said to pass through point (5,4).
So, the equation of the line is:
[tex]y = m(x - x_1) +y_1[/tex]
This gives
[tex]y = \frac 65(x - 5) +4[/tex]
Expand
[tex]y = \frac 65x - 6 +4[/tex]
[tex]y = \frac 65x - 2[/tex]
Hence, the equation of the line is [tex]y = \frac 65x - 2[/tex]
Read more about line equations at:
https://brainly.com/question/14323743
2 (t -3) ² - 72=0?
Math by extracting square roots
Answer:
2(t-3) ^2 = 72
(t - 3)^2 = 36
t - 3 = 6 or t - 3 =-6
t = 6+3 = 9. or t =-6 +3 = -3
t = 9 or -3
We have that
The Value of t is
t=9
From the question we are told
2 (t -3) ² - 72=0
In Answering the Question we must follow these few steps
Firstly we must make t the subject of the FormulaSecondly,We perform the necessary arithmeticFinally,The value of t will be gottenGenerally the derivation of t is mathematically given as
[tex](t-3)^2=\frac{72}{2}\\\\t-3=\sqrt{\frac{72}{2}}\\\\t-3=6\\\\t=9[/tex] [Firstly we must make t the subject of the Formula
Firstly we must make t the subject of the FormulaSecondly,We perform the necessary]
Therefore
The Value of t is
t=9 [Finally,The value of t will be gotten]
For more information on this visit
https://brainly.com/question/23366835
.4 ÷ 28.08 Dividing Decimals , Divide to the nearest Tenth??
I Will Give You 10 Points
Answer:
0
Step-by-step explanation:
The answer is 0.01424, but if you round it to the nearest tenth, you would end up with 0.
C= X+ H solve for C write the answer in the comments plz
Identify the number 2.02200222000... as rational or irrational. Explain your reasoning
answer both correctly and I’ll give golden brain c:
Answer:
1.a=5,b=-2
Step-by-step explanation:
2x+a=5-bx
divide by 2
[tex]x+\frac{a}{2}=\frac{5}{2}+\frac{-b}{2}x\\for~ to~ have ~infinite ~solutions\\\frac{a}{2}=\frac{5}{2}\\a=5\\1=\frac{-b}{2}\\b=-2[/tex]
or
equate the coefficients of like terms
-b=2
b=-2 (coefficient of x)
a=5 (constant terms)
2.
72°
external angle= sum of two opposite internal angles.
∠2=42+30=72°
The grass in Jamie's yard grew 16 centimeters in 10 days. It was growing at a constant rate.
How many days did it take the grass to grow 1 centimeter?
days
How many centimeters did the grass grow in 1 day?
centimeters
Answer:
It took 1.6 days for the grass to grow 1 centimeter
The grass grew 0.625 centimeters in 1 day
Step-by-step explanation:
Classify the following number: - 1/6
Answer:
fraction and integer
Step-by-step explanation:
what is 3/4f-4g+8 how many terms
Answer:
0 = 2f + 3g + 4f + -4g + 8
Step-by-step explanation:
Seven Friends divide three bags of apples equally between them. Enter the division represented by this situation as a fraction .
Answer:
7/3
Step-by-step explanation:
2/3 of 1/2
What is the answer.
Answer:
1/3 or 0.33333333333_
Step-by-step explanation:
what is 33.058 as a simplified fraction?
Answer:
[tex]\frac{16529}{500}[/tex]
Step-by-step explanation:
Convert to a mixed number by placing the numbers to the right of the decimal over 1000 . Reduce the fraction. Then, convert the mixed number to an improper fraction by multiplying the denominator by the whole number and adding the numerator to get the new numerator. Place this new numerator over the original denominator.
Quick I need help!!!
Answer:
-19
Step-by-step explanation:
Solve by completing the square:
x^2 + 2x - 3 =0
a. - 3 or 1
b. X-3 or -1
C. - 3 or -1
d. 2-3 or 1
Please select the best answer from the choices provided
Answer:
a
Step-by-step explanation:
Given
x² + 2x - 3 = 0 ( add 3 to both sides )
x² + 2x = 3
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(1)x + 1 = 3 + 1
(x + 1)² = 4 ( take the square root of both sides )
x + 1 = ± [tex]\sqrt{4}[/tex] = ± 2 ( subtract 1 from both sides )
x = - 1 ± 2
Thus
x = - 1 - 2 = - 3
x = - 1 + 2 = 1
Evaluate the following expression when a = -3, b = 2, c = 5, and
d = -4.
2a + 3b
Answer:
2a + 3b = 0
Step-by-step explanation:
So we are given that a = -3, b = 2, c = 5, and d = -4 and we are asked to evaluate the expression 2a + 3b. To evaluate the expression, we would have to plug in -3 for a, 2 for b, 5 for c, and -4 for d:
2a + 3b = 2(-3) + 3(2) = -6 + 6 = 0
So by evaluating the expression we get 0.
I hope you find my answer and explanation to be helpful. Happy studying.
Find the value of c. 16 = 4 - 3c
Answer:
c = -4
Step-by-step explanation:
16 = 4 - 3c
subtract 4 from each side
16-4 = 4-4 - 3c
12 = -3c
Divide each side by -3
12/-3 = -3c/-3
-4 =c
f(x)=2/3x+3 what is the value of f(12)
Answer:
f(12) = 11
Step-by-step explanation:
Step 1: Define
f(x) = 2/3x + 3
f(12) is x = 12
Step 2: Substitute and Evaluate
f(12) = 2/3(12) + 3
f(12) = 8 + 3
f(12) = 11
En la casa de Juan, van a pedir pizza para la comida, pero cuando la van a pedir se dan cuenta que deben pedirla por perímetro o área de la misma. La mamá dice que es más grande la de perímetro de 100cm y el papá dice que es más la de área de 100cm². ¿Cuál tiene la razón? *
Responder:
La pizza con un perímetro de 100 cm es más grande ¿verdad?
Explicación paso a paso:
Deja que la pizza tenga forma circular.
Sea el área de la pizza = πd² / 4 y;
Perímetro de la pizza = πd
d es el diámetro de la pizza
Si la madre dice que el que tiene un perímetro de 100 cm es más grande, para estar seguros necesitamos obtener el diámetro de la pizza. La de mayor diámetro será la pizza más grande.
P = 100cm
100 = πd
d = 100 / π
d = 100 / 3,14
d = 31,85 cm
El diámetro de la pizza mamá es de 31,85 cm.
Si el padre dice que el que tiene un área de 100 cm² es más grande, obtengamos también el diámetro para estar seguros.
A = πd² / 4
100 = πd² / 4
400 = πd²
d² = 400 / π
d² = 400 / 3,14
d² = 127,39
d = √127,39
d = 11,29 cm
Por lo tanto, el diámetro de la pizza padre es de 11,29 cm.
Dado que el diámetro de la pizza madre es mayor que el de esa, la pizza con un perímetro de 100 cm es más grande, lo que demuestra que la madre tiene razón.
A triangle is in the first quadrant of an x-y coordinate, shown here
Answer:
a
Step-by-step explanation:
Find the area. Simplify your answer.
Answer: 1.5x²
Step-by-step explanation:
Rule: To find the area of a triangle, multiply the base times one side, then divide the product by 2.
Step 1: Find the length of the left side using the pythagorean theorem.
a^2 + b^2 = c^2.
x^2 + 2x^2 = 3x^2
√3x² = 3x
Step 2: Multiply the base times the hypotenuse.
x * 3x = 3x²
Step 3: Divide by two
3x²/2 = 1.5x²
Which of the following mixed numbers is equivalent to 12.16?
Answer:
12 4/25 is equivalent to 12.16 .
Jason has $90 to spend. He wants to purchase a bag for $35,one eraser for $10, and three pencils. Each of the pencils costs the same price. This will use up all of Jason's money. Determine the price of a pencil.
Answer:
1 pencil = $15
Step-by-step explanation:
Starting money = 90
Bag price = 35
Eraser price = 10
Price per 1 pencil = X
90 - 35 = 55
$55 after buying the bag.
55 - 10 = 45
$45 after buying the eraser.
45 ÷ 3 = 15
$15 dollars for each pencil.
PLEASE HELP!!!!!! URGENTTTTTTTT
Answer:
-3x² - x - 5
the second one
Given h(x) = -2x – 5, find h(-2)
Answer:
-1
Step-by-step explanation:
they gave you the value to x so all you have to do is plug it in
h(-2) = -2 (-2) - 5
h(-2) = 4 - 5
h(-2) = -1
Substituting the value, x = - 2 into the function, the value of the function h(-2) is - 1
Given the function :
h(x) = - 2x - 5At h(-2) :
h(-2) = - 2(-2) - 5
h(-2) = 4 - 5
h(-2) = - 1
Therefore, the value of h(-2) is - 1
Learn more : https://brainly.com/question/18106342
Word problem for 3x(5+8)
Answer:
The answer is 39x.
Step-by-step explanation:
Answer:
I believe the word form of the equation would be Three X times five plus eight.
Step-by-step explanation:
Write in standard form y=2(x-1)^2+6
Answer:
Y=2x+2
Step-by-step explanation:
Im not 100% sure this is correct but what I did was
Y=2(x-1)^2+6
2(x-1) = 2x -2
Y=2x -2^2 +6
Y=2x -4 + 6
-4 + 6 = 2
So y=2x+2 (y=mx+b)
I hope this helps you
all multiples of 5 end with 5 true or false
Answer:
FALSE
Step-by-step explanation:
Multiples of 5 end with 5 or 0.
Answer:
False
Step-by-step explanation:
Think of the first couple of multiples for 5, 5, 10, 15, 20 and so on. As you can see 10 and 20 are multiples of 5 but do not end with a 5.
WIILL GIVE BRAINLIEST.
Which statement best illustrates using the vertical line test to determine if the graph below is a function of x?
The graph is not a function of x because the line x = 0 intersects the graph at two points.
The graph is a function of x because the line x = 5 does not intersect the graph.
The graph is not a function of x because the line y = 0 intersects the graph at two points.
The graph is a function of x because the line y = 5 does not intersect the graph.
Answer:
C: The graph is not a function of x because the line y = 0 intersects the graph at two points.
Step-by-step explanation:
The line y = 0 will intersect the ellipse at the points, (-4 , 0) , (4 , 0)
PLZZZ HELPPP MEEE ASAPPPP
Answer:
5 - 900
4.5 - 810
3 - 540
2.25 - 405
Step-by-step explanation:
5 x 180 = 900
4.5 x 180 = 810
3 x 180 =540
2.25 x 180 = 405
Look at the graph. Which of the following statements is false?
Answer:
if the y is 0, does that mean it don't have a y-intercept? is the 0 the point of origin?
Please help me with these
Answer:
The first one is -28x
Step-by-step explanation:
2^2x is 4x and 4x-32x is -28
