State the equation of the line described.
A line passes through the point (-3,7) and is perpendicular to the line y = -9x + -1.
thanks for your help!
Answer:
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes. This means that when you multiply the slopes of the perpendicular lines, its product = -1.
Given the linear equation, y = -9x - 1, and the point, (-3, 7):
Since the slope of the given linear equation is: m1 = -9, then it means that the slope of the other line (m2) = 1/9:
m1 × m2 = -1
-9 × 1/9 = -1
Next, we need to find the y-intercept of the other line. The y-intercept is the point on the line where it crosses the y-axis, and has coordinates (0, b). It is also the value of the y-coordinate when its corresponding x-coordinate = 0.
Using the given point, (-3, 7), and the slope of the other line, m2 = 1/9:
We need to substitute these values into the slope-intercept form, y = mx + b, to solve for the y-intercept, (b):
y = mx + b
7 = 1/9(-3) + b
7 = -1/3 + b
Add 1/3 to both sides of the equation to solve for b:
7 + 1/3 = 1/3 -1/3 + b
22/3 = b
Therefore, the y-intercept (b) = 22/3.
The linear equation of the other line is: y = 1/9x + 22/3
Find the missing number so that the equation has infinitely many solutions.
2x - 10 + 2x = 4x +
Answer:
-10
Step-by-step explanation:
1. First, let's simplify both sides of the equation.
[tex]2x - 10 + 2x = 4x + ?[/tex] [tex]4x - 10 = 4x + ?[/tex]2. To find the missing value to make the equation have infinitely many solutions, we need to make both sides of the equation equal.
3. Given that information, means that 4x - 10 has to equal 4x + (-10) because:
[tex]4x - 10 = 4x + (-10)[/tex] [tex]4x - 10 = 4x - 10[/tex]4. Now, with the information in #2, let's see if it's true:
[tex]4x - 10 = 4x - 10[/tex] [tex]4x - 10 -4x = 4x - 10 - 4x[/tex] [tex]-10 = -10[/tex][tex]-10+10=-10+10[/tex] [tex]0=0[/tex] (0 = 0 means that the equation has infinitely many solutions)Therefore, the missing number is -10.
5(3x - 2) – 4(2x
+ 1) x=
Answer:
−8x^2+11x−10
Step-by-step explanation:
Answer:
-8x² + 11x - 10
Step-by-step explanation:
5(3x - 2) - 4(2x + 1)x
15x - 10 - 8x² - 4x
11x - 10 - 8x²
= -8x² + 11x - 10
For each value of x, determine whether it is a solution to x> 8.
Is it a solution?
Answer:
what are the values of X?
Find the intersection of the two lines by solving the system of equations.
If you purchase a phone that costs $339.00, how much sales tax will you pay if the rate is 8.357%?
By what number should 3^-3 be multiplied to obtain 4 ?
[tex]\large\underline{\sf{Solution-}}[/tex]
Let the number be multiplied be 'x'.
Therefore, according to the given conditions:
[tex] \rm\longmapsto {3}^{ - 3} \times x = 4[/tex]
We know that:
[tex] \rm\red⇛ {x}^{ - a} = \dfrac{1}{ {x}^{a} } [/tex]
Therefore:
[tex] \rm\longmapsto \dfrac{1}{ {3}^{3} } \times x = 4[/tex]
[tex] \rm\longmapsto \dfrac{x}{27 } = 4[/tex]
Multiplying both sides by 27, we get:
[tex] \rm\longmapsto27 \times \dfrac{x}{27 } = 4 \times 27[/tex]
[tex] \rm\longmapsto x = 4 \times 27[/tex]
[tex] \rm\longmapsto x = 108[/tex]
So, 108 must be multiplied to get 4.
Verification:
Substitute x = 108, we get:
[tex] \rm = {3}^{ - 3} \times 108 [/tex]
[tex] \rm = \dfrac{1}{27} \times 108 [/tex]
[tex] \rm = \dfrac{1}{27} \times 27 \times 4[/tex]
[tex] \rm =4[/tex]
Answer:
108Step-by-step explanation:
By what number should 3^-3 be multiplied to obtain 4 ?
4 : 3^-3=
108
--------------------
check
3^-3 * 108 = 4
the answer is good
Find the domain of x: log2(1/64)=x
Answer:
-6
Step-by-step explanation:
Pls leave “thanks“ heart if I helped
HELPPPPPP ILL GIVE POINTS AND MARK YOU BRAINLIEST
Answer:
x = 9
FGH = 5x-3 = 42°
HGI = FGH = 42°
FGI = 42+42= 84°
Step-by-step explanation:
5x - 3 = 6x - 11
x = 9
plz help will mark as brainliest
512 → Choice C
Step-by-step explanation:
[tex]\begin{aligned}64^{\frac{3}{2}}&=\sqrt[2]{64^3}\\&=8^3\\&=\bf 512\end{aligned}[/tex]
1. Which of the following values of n will make the below equation true? n × (−2+5 ) = −8+20
a. 4 b. -4 c. 3 d. 12
2. What value of n will make the following equation true? 2 + (n+6) = −1+6
a.-3 b.-1 c.5 d.8
Answer:
1a 2a
Step-by-step explanation:
n × (−2+5 ) = −8+20
n × 3 = 12
n = 4
2 + (n+6) = −1+6
n + 8 = 5
n = -3
The equation of the line passing through the point (2,3) with slope 2
Answer:
I have no rights to the answer
Original answer was created by
vivek8740
Step-by-step explanation:
https://brainly.in/question/31418586
Work out the area of a rectangle with base,
b
= 16mm and perimeter,
P
= 52mm.
Answer:
A = 160 mm²
Step-by-step explanation:
The area (A) of a rectangle is calculated as
A = bh ( b is the base and h the height )
Given P = 52 and P = 2(b + h) , then
2(b + h) = 52 ( divide both sides by 2 )
b + h = 26 ( substitute b = 16 )
16 + h = 26 ( subtract 16 from both sides )
h = 10
Then
A = 16 × 10 = 160 mm²
Answer:
its: 160^{2}
Step-by-step explanation:
ps: (b=l)
we have : P=2 [l+w]
and : P= 52mm
so: 52=2(16mm+w)
52/2= 16mm+w
26-16=w
10=w
so: w=10
and we know that: area= w*l
so: area=10*16
so: area= 160 mm^{2}
witch one is bigger?
pls explain it
Answer:
The six is bigger
Step-by-step explanation:
They both are inside the absolute value sign, meaning, the the numbers are negative, they will turn positive and if they are positive, then they will remain positive. So, in this case 4 and 6 are both positive and remain positive. And obviously 6 is greater than 4 because 6 comes after 4 in a number line.
WORTH 50 POINTS
Simplify -5a-6ab+10ab+2a please give explanation.
Answer:
-3a + 4ab
Step-by-step explanation:
-5a + 2a = -3a
-6ab + 10ab = 4ab
=−5a+−6ab+10ab+2a
Combine like terms=−5a+−6ab+10ab+2a
=(−6ab+10ab)+(−5a+2a)
=4ab+-3a
=4ab-3a
Help please I need an answer asap thank you so much
Answer:
m and n are parallel because if you add 55 and 125 together you get 180
Step-by-step explanation:
If the lines are parallel, ∠3 = 125 (due to corresponding angles) and 55 + ∠3 = 180 (since angles on a straight line add upto 180).
Seeing this is true,
the lines m and n are parallel.
Feel free to mark this as brainliest! :D
2.2+4 show work, please!!
Answer:
The answer is 6.2
Step-by-step explanation:
1) 2.2 + 4 =
2) 11/5 + 4 =
3) 11/5 + 20/5 =
4) 31/5 =
5) 6.2
The answer is 6.2
What is 5 divided by 1 1/2
Answer:10
Step-by-step explanation:
Answer:
10
Step-by-step explanation: mark me brainlessly
Given m||n,
find the value of x and y.
Answer:
Step-by-step explanation:
4x -5 = 3x +11 corresponding angles
x= 16
y + 4x - 5 = 180
y + 4(16) = 185
y - 64 =185
y = 121
_To solve an absolute value inequality what do I have to do to the absolute value symbols?
a) Isolate
b)keep
c)flip
Answer:
c) flip
Step-by-step explanation: When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side! hope this helps!!
what property is -6+24=x-24+24
Answer:
x = 30
Step-by-step explanation:
-6 + 24 = x - 24 + 24
x = 24 + 6 - 24 - 24
x = 30 - 0
x = 30
I need help answering this equation
Answer: 47°
Step-by-step explanation:
97 + 36 = 133
180 - 133 = 47
This answer has been deleted
guys pls help me!!!!!!
Match the following.
1. the range set of E = {(3, 3), (4,4), (5,5), (6, 6))
(3,4,5,6)
2. the range and domain of F = {(x, y)1 x + y =10)
domain = {all real numbers): range =
ty: y = 3)
domain = range = {all real numbers)
3. the range and domain of P = {( xy) y=3)
4. the domain set of C = {(2,5), (2, 6), (2, 7)]
(2)
Step-by-step explanation:
You got the first and last one correct and need flip those for questions 2 and 3.
Correct matches are:
1. {3,4,5,6}2. domain = range = {all real numbers}3. domain = {all real numbers): range = { y: y = 3}4. {2}Solve for x: 7x-3/5x-2 = -2
Step-by-step explanation:
★ Solution:-[tex]\sf \leadsto \dfrac{7x - 3}{5x - 2} = -2[/tex]
[tex]\sf \leadsto 7x - 3 = -2(5x - 2)[/tex]
[tex]\sf \leadsto 7x - 3 = -10x + 4[/tex]
[tex]\sf \leadsto 7x + 10x = 4 + 3[/tex]
[tex]\sf \leadsto 17x = 7[/tex]
[tex]\sf \leadsto x = \dfrac{7}{17}[/tex]
Hence the value of x is 7/17
Please Please Help Me ASAP! THANKS!
Calculate:
Calculation:
[tex]\log ^2_3\left(\frac{1}{3}\right)=-1[/tex]
[tex]\log _3\left(\frac{1}{3}\right)[/tex]
[tex]\frac{1}{3} = 3^{-1}[/tex]
[tex]=\log _3\left(3^{-1}\right)[/tex]
[tex]=-1[/tex]
When a decimal goes on forever without repeating, it is a(n) _____________ number.
Answer:
When a decimal goes on forever without repeating, it is an irrational number
BRAINLIEST!!! +15 POINTS!!! REAL ANSWERS ONLY PLEASE!!!
Answer:
I may be wrong but I think it's c
Is this a function or no? May I please get an explanation aswell?
Answer:
no because the lines are not parallel
Using Robin’s graph, how can you find the unit rate?