Answer:
5x + 4y = - 8
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 )
Given
4x - 5y = 20 ( subtract 4x from both sides )
- 5y = - 4x + 20 ( divide all terms by - 5 )
y = [tex]\frac{4}{5}[/tex] x - 4 ← in slope- intercept form
with slope m = [tex]\frac{4}{5}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{4}{5} }[/tex] = - [tex]\frac{5}{4}[/tex] , thus
y = - [tex]\frac{5}{4}[/tex] x + c ← is the partial equation
To find c substitute (- 4, 3) into the partial equation
3 = 5 + c ⇒ c = 3 - 5 = - 2
y = - [tex]\frac{5}{4}[/tex] x - 2 ← in slope- intercept form
Multiply through by 4
4y = - 5x - 8 ( add 5x to both sides )
5x + 4y = - 8 ← equation in standard form
The solutions to 15(2a – 2) = 5(a2 – 1) are: a = 1, a = –1 a = 5, a = –1 a = 5, a = 1
The solution to the provided expression using the difference of square formula of algebra is a=1.
What is the difference of squares formula?The difference of square says, the difference of the square of two terms is equal to the product of their sum and difference. It can be given as,
a^2-b^2=(a+b)(a-b)
The given expression in the problem is,
[tex]15(2a - 2) = 5(a^2 -1)[/tex]
From the property of difference of square, the above equation can be written as,
[tex]15(2a - 2) = 5[(a +1)(a-1)]\\15\times[2(a - 1)] = 5[(a +1)(a-1)][/tex]
Divide both side of the equation with (a-1) as,
[tex]5\times2 = 5(a +1)[/tex]
Divide both side of the equation with number 5 as,
[tex]2 = (a +1)\\a=2-1\\a=1[/tex]
Hence, the solution to the provided expression using the difference of square method of algebra is a=1.
Learn more about the difference of square here;
https://brainly.com/question/1148545
The solutions to 15(2a – 2) = 5(a2 – 1) are:
a = 1, a = –1
a = 5, a = –1
a = 5, a = 1
Answer:
C. a = 5, a = 1
Step-by-step explanation:
I need help
Evaluate the function.
f(x)=2x^2+x-4
f(x)=2x
2
+x−4
Find f(−10)
Answer:
f(-10) = 2(-10)^2 +(-10)-4 = 386
Step-by-step explanation:
(2 * -10)^2 equals -20^2= 400
+(-10)-4= -10-4=-14
400-14=386
Solve 9 × 5/8
I'm gonna give you all my points : )
Answer:
See below.
Step-by-step explanation:
9*5/8
Order of operations state that division has to be done before multiplication.
5/8=0.625
9*0.625=5.625, or 5.6
-hope it helps
Tjfnfkgfjgngkgnbgkjhbhhhh
Read the sentence and study the table. Jaren and Shardae found that cooking a four-course dinner was a laborious process. A 2-column table with 1 row. The first column is labeled Suffix with the entry -ious. The second column is labeled Meaning with the entry having qualities of; full of. Based on the definition of the suffix, what does the underlined word mean? relatively easy not challenging requiring effort deeply satisfying.
Laborious in this sentence means a task that requires a lot of effort.
What will be the suffix?
Suffix is a kind of affix which is placed after the stem of the word in the word. This explains about the grammatical case of nouns and adjectives.
The word that has been used in the sentence which describes about the activity of the sentence is laborious.
The activity speaks about that this task which is of making a four course dinner is not going to be easy and requires a lot of efforts in it.
Thus Laborious in this sentence means a task that requires a lot of effort.
To know more about suffixes follow
https://brainly.com/question/26231721
c
Step-by-step explanation:
The first three terms of a geometric sequence are as follows.
-2,10 ,-50
Find the next two terms of this sequence.
Give exact values (not decimal approximations).
Answer:
Can you rephrase the question so I can get a better explanation of what you're trying to ax me
Which expression is equivalent to 7x + 9 - 2x?
Answer choices 14x, 18x, 5x + 9 or 9x + 9
Answer:
5x+8 because 7x-2x=5x and you cant do anything with the 9 so it just stays as a hang on at the end.
Step-by-step explanation:
Answer:
7x + 9 - 2x
We need to combine like terms (meaning terms that have the same power and variables);
(7x - 2x) + (9)
5x + 9
i think of a number multiply it by 3 and add 4 i get 22
use the statement above ,to form an equation.
a)use the letter x for the uknown number
b) solve the equation
Answer:
x = 6
Step-by-step explanation:
i think of a number multiply it by 3 and add 4 i get 22.
x = a number
x is being multiplied by 3 (3*x or 3x), thening add 4 is equal to 22.
3x + 4 = 22
- 4 - 4
3x = 18
/3 /3
x = 6
Therefore, the unknown number is 6.
Hope this helps!
Which proportion is not true
Which property is demonstrated? (7 × 25) × 9 = 7 × (25 × 9)
Answer:
Associativity.
Step-by-step explanation:
All right triangles have a right angle. The other 2 angles of a particular right triangle are 65 and x+29. What is the value of x
Question in the photo.
Answer:
its not proportional because the graph is not a straight line
PLEASE HELP I'LL GIVE BRAINLIEST
The point that is marked on the number line is - 0.875.
How to read a number line?According to the number line diagram, the right side after zero is the positive side while the left side before zero is the negative side.
The marked point is before zero, therefore, the marked point on the number line is surely a negative number.
Each step in the number line represents a step of 0.125.
Hence, the marked point represents 7 steps from zero, therefore, the marked point is -0.875.
learn more on number line here: https://brainly.com/question/13189025
Zane is determining whether the given value of the variable is a solution of the equation.
13 + h = 21 for h = 9
What steps should Zane take? Check all that apply.
Substitute 9 for the variable h.
Substitute 21 for the variable h.
Simplify by adding 13 and 21.
Simplify by adding 13 and 9.
21 = 21, so 9 is a solution to the equation.
22 Not-equals 21, so 9 is not a solution to the equation.
Answer:
Substitute 9 for the variable h.Simplify by adding 13 and 9.22 Not-equals 21, so 9 is not a solution to the equation.Step-by-step explanation:
13 + h = 21 for h = 9
1. Substitute 9 for the variable h.
Correct, because the question already giving the value that h = 9.
2. Substitute 21 for the variable h.
False, because in the question it states that h is 9, not 21.
3. Simplify by adding 13 and 21.
False, because they are in different sides.
4. Simplify by adding 13 and 9.
True, the question giving that h is 9. In the left sides, it's 13 + h, by adding 13 and 9, we will get the answer for the left side.
5. 21 = 21, so 9 is a solution to the equation.
False, because in the left side is 13 + h = 13 + 9 = 22.
6. 22 Not-equals 21, so 9 is not a solution to the equation.
True, see the explanation in 5.
Answer:
Substitute 9 for the variable h.
Simplify by adding 13 and 9.
22 Not-equals 21, so 9 is not a solution to the equation.
Step-by-step explanation:
the guy above me ∧ is correct!
please help me this my e -learning work
Answer:
1. [tex]=11x+9[/tex]
2. [tex]=7a+17[/tex]
3. [tex]=14k+10[/tex]
4. [tex]=3r+19[/tex]
5. [tex]=8w+19[/tex]
6. [tex]=\frac{19}{2}p+16[/tex]
7. [tex]=8x+18y[/tex]
8. [tex]=11m+7n+14[/tex]
9. ???
10. [tex]=\frac{4p+5q}{6}+\frac{1}{4}[/tex]
Step-by-step explanation:
[tex]4x+9+7x[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=4x+7x+9[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:4x+7x=11x[/tex]
[tex]=11x+9[/tex]
[tex]7a+1+16[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:1+16=17[/tex]
[tex]=7a+17[/tex]
[tex]9+6k+8k+1[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=6k+8k+9+1[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:9+1=10[/tex]
[tex]=6k+8k+10[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:6k+8k=14k[/tex]
[tex]=14k+10[/tex]
[tex]r+14+5+2r[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:14+5=19[/tex]
[tex]=r+19+2r[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=r+2r+19[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:r+2r=3r[/tex]
[tex]=3r+19[/tex]
[tex]6+7w+w+13[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=7w+w+6+13[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:6+13=19[/tex]
[tex]=7w+w+19[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:7w+w=8w[/tex]
[tex]=8w+19[/tex]
[tex]\frac{1}{2}p+14+2+9p[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:14+2=16[/tex]
[tex]=\frac{1}{2}p+16+9p[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=9p+\frac{1}{2}p+16[/tex]
[tex]\mathrm{Factor\:out\:common\:term\:}p[/tex]
[tex]=p\left(9+\frac{1}{2}\right)+16[/tex]
[tex]=p\frac{19}{2}+16[/tex]
[tex]=\frac{19}{2}p+16[/tex]
[tex]8x+3y+15y[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:3y+15y=18y[/tex]
[tex]=8x+18y[/tex]
[tex]3m+7n+14+8m[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=3m+8m+7n+14[/tex]
[tex]\mathrm{Add\:similar\:elements:}\:3m+8m=11m[/tex]
[tex]=11m+7n+14[/tex]
Cant see the next one the number before w
[tex]\frac{2}{3}p+\frac{5}{6}q+\frac{1}{4}[/tex]
[tex]=\frac{2p}{3}+\frac{5q}{6}+\frac{1}{4}[/tex]
[tex]=\frac{4p+5q}{6}+\frac{1}{4}[/tex]
an estimate of 3 out of 25 people are left handed
Show an example of a multi-step equation with a no solution answer.
Write an equation in slope intercept form of the line that passes through the points (-5,4) and (5,0)
Answer: y=-0.4x+2
Step-by-step explanation:
Amelia needs to buy some dog food.At the nearest store,6 bags of dog food cost $34.50. How much would Amelia would spend on 5 bags of dog food
Answer: The answer would be $28.75
Step-by-step explanation: You would first wanna see how much one bag of dog food costs by dividing 34.50 by 6. Then you can muiltiply how much one bag of dog food costs by 5 to see how much Amelia would spend.
Waheed's father is twelve years older than his mother. The sum of their ages is 76 years old. How old is Weheed's father
Answer:
32
Step-by-step explanation:
Let, the age of father and mother be x and y respectively. then,
According to question,
x + y = 76.........(i)
x= y + 12...............(ii)
Now,
x + y = 76
or, ( y + 12) + y = 76
or, y + 12 + y = 76
or, 2y = 76 – 12
or, 2y = 64
or, y = 64/2
.
. . y = 32
hope it will help you.
What are the values of x for which the denominator is equal to zero for y = x+3/x²+4x
x² + 4x
X = -4
x=0, x=-4
no points of discontinuity
x = 0,X = 4
Answer:
hello
x² + 4 x = 0
x ( x + 2 ) = 0
x = 0 or - 2
y = 4x^3– 20x^2+ 25x
Answer:
0 2/5 By zeros
Step-by-step explanation:
At the end of april, mandy told bill that she has read 16 books this year and reads 2 books each month. Bill wants to catch up to mandy. He tracks his book reading with a table on his door. Using his table below, what month will bill have read the same amount of books as mandy?.
Answer:
where is table
Step-by-step explanation:
4.16667 As a mixed number
Answer:
416667 / 100000
Step-by-step explanation:
maths is too ez
Answer:
Step-by-step explanation:
4 16667/100000
Help Please ASAP
Rose bought a length of copper pipe. She used ½.yard to repair a water line in her house. How much pipe does she have left? Solve this problem any way you choose.
Answer:
I need to know the total length of the pipe but she has 1/2 yard of pipe left. Whatever the total pipe length is, just divide that by 2 to get your answer.
150°, 130°, 130°, 150°, 140°, 140°, 150°, 130°, and d. What is d?
Answer:
130
Step-by-step explanation:
This most likely goes in a pattern
150
130
130
150
140
140
150
130
d (130)
e (150)
Answer:
130 degrees
Step-by-step explanation:
It's a pattern so first is 150 the 130 2x and then 150 again and now 140 2x. Starts over 150 again and 130 2x
A school bus can safely carry as many as 76 students. If 19 students are already on the
bus, how many more can board the bus?
Answer:
57 students can still board
Step-by-step explanation:
If it carries 76 students total and 19 are already on, we must find the difference
This means we subtract
76 - 19 = 57
Can someone help me Plzzzzz!
Answer:
Which one is it though?
Step-by-step explanation:
Please help will give BRAINLIEST
Answer:
im not sure but i think its b reconsider and look for other answers
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
If m and n are parallel, then
∠ CBA = ∠ 2 ( alternate angles )
The sum of the 3 angles in a triangle = 180°, thus
∠ 1 + ∠ 2 + ∠ 3 = 180° ( sum of the angles in the triangle )
6) Heather won 45 lollipops playing the bean
bag toss at her school's game night. Later,
she gave three to each of her friends. She
only has 3 remaining. How many friends
does she have?
Answer:
14
Step-by-step explanation:
45/3=15
She has 3 left so that means she has 14 friends