Answer:
The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m. For example, we found that the slope of the line y = (1/2)x + 3 is 1/2.
The slopes of perpendicular lines when multiplied together gives the product as -1.
What is the slope of straight line?The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.
The negative slope indicates the rate of decrease while the positive shows the rate of increase.
Suppose the two perpendicular lines have equations as follows,
y = m₁x + c₁ and y = m₂x + c₂.
Suppose m₁ = tan θ
Then, m₂ = tan (90° + θ)
Apply the trigonometric identity to obtain,
m₂ = tan (90° + θ) = -cot θ
Now, m₁ × m₂ = tan θ × -cot θ = -1
Thus, the products of slopes is -1.
Hence, the product of slopes of two perpendicular lines is -1.
To know more about slope click on,
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evaluate functions
g(0)=-x-2
Answer:
g(0) = -2
Step-by-step explanation:
g(x) = -x - 2
To find g(0), replace x with 0 in the equation.
g(0) = -0 - 2 = -2
Hi. I need help with this question :
Question : y is such that
[tex]4y - 7 \leqslant 3y[/tex] and
[tex]3y \leqslant 5y + 8[/tex]:
I). What range of values satisfies both inequalities ?
II). Hence, express
[tex]4y - 7 \leqslant 3y \leqslant 5y + 8[/tex]
in the form of
[tex]a \leqslant y \leqslant b[/tex]
where a and b are both integers.
Please show workings.
Answer:
-4≤y≤7
Step-by-step explanation:
4y-3y≤7
y≤7
and
3y-5y≤8
-2y≤8
y≥-4
so, -4≤y≤7
9514 1404 393
Answer:
-4 ≤ y ≤ 7
Step-by-step explanation:
Solve the inequalities separately, then identify the intersection of the solution sets.
4y -7 ≤ 3y
y -7 ≤ 0 . . . . . . . subtract 3y
y ≤ 7 . . . . . . . . . add 7
3y ≤ 5y +8
0 ≤ 2y +8 . . . . . . subtract 3y
-8 ≤ 2y . . . . . . . . . subtract 8
-4 ≤ y . . . . . . . . . . divide by 2
The intersection of the sets y ≤ 7 and -4 ≤ y is given by ...
-4 ≤ y ≤ 7
I NEED TO TURN THIS IN BEFORE 8:15 PLEASE HELPPP
Answer:
4
Step-by-step explanation:
If an airplane travels a distance of 500 km in 5 hours heading north, what is its velocity?
PLEASE SHOW WORK!
Answer:
12
Step-by-step explanation:
x = -1+y
2x - y = 0
All of this is one question it’s simultaneous equations. Can someone please help
Answer:
y = 2
Step-by-step explanation:
x= -1+y
2x-y=0
2(-1+y)-y=0
-2+2y-y=0
-2+y=0
-2+2+y=0+2
y=2
hope it's helpful ❤❤❤❤
THANK YOU.
#
Answer:
[tex]2( - 1 + y) - y = 0 \\ - 2 + 2y -y = 0 \\ y = 0 + 2 \\ y = 2 \\ x = - 2[/tex]
Write the equation of the line passing through the point (3, 5) that is
PEREPENDICULAR to y = -3/4x + 5 in slope-intercept form.
Answer:
Step-by-step explanation:
perp. 4/3
y - 5 = 4/3(x - 3)
y - 5 = 4/3x - 4
y = 4/3x + 1
How do you solve fractions and multiplication in algebraic, ex:1/3× -4
Answer: x=12
Step-by-step explanation:
1/3 x -4
1/3x=4 <---- First add 4 to each side of the equation (moves the "-4")
1/3x(3)=4(3) <---- Muliply each side by "3" to get rid of the fraction
x=12
Find the missing number (i.e. the coefficient in front of x) so that the equation has no solutions: □x + 4 = 4x + 15
Answer:
X=8
Step-by-step explanation:
Please help me ASAP, I NEED UR HELP?
Answer:
3) yes, it is in the shaded region
4) no, it lies on a less-than line
5) yes, it lies on a greater-than-or-equal-to line
6) no, it isnt in the shaded region
Step-by-step explanation:
Answer:
3) yes
4) yes
5) yes
6) no
Step-by-step explanation:
the coordinites that are in the blue shaded area are yes
Will give Brainliest!!!
What is the y=mx+b of the equation x+3y=−15
Answer:
y = -1/3x - 5
Step-by-step explanation:
First, we need to get y by itself so we subtract x from both sides, giving us: 3y = -x - 15
Secondly, we need to isolate the y, so we divided the 3 out on both sides giving us: y = -1/3x - 5 which is our answer.
Express the interval using inequality notation,
-4,5
Answer:
First you mark me Brainlyist
Step-by-step explanation:
Then you you use the intervol of I don’t know then you ask someone else
7/8 x 3/5 simplified
Answer:
21/40
Step-by-step explanation:
First you multiply the numerators (7 & 3) to get 21, then denominators (8 & 5) to get 40, unfortunately it cannot be reduced
In the scenario that it could be reduced, I was taught to cross reduce. lets say we had 2/8 x 4/6
You could divide by four for the 8 (denominator) and 4 (numerator) getting you 2/4 and 1/6
Then you do the same thing for 2 (numerator) and (6 denominator) so 2/2 is 1 and 6/2 is 3
Leaving you with 1/4 x 1/3 making it easier to multiply, and you don't have to reduce! Hope this helps!!
solve for x 1/5(x-4)=-2
the answer is:
x = -6
can someone pls help me with this before I fail
Answer:
Answer is C
Step-by-step explanat
I need help on this problem. Does anyone know how to complete it? Please and thank you :)
Find two integers whose sum is -3 and product is -70
Answer:
(-10) and 7
Step-by-step explanation:
-3 = (-10) +(7)= -3 (because + and - give you a - )
-70 = (-10) x (7)= -70
hope it answers your question correctly.
Can someone help me PLEASE!!!!!!!!!!
Answer:
1, 4, and 5
Step-by-step explanation:
18-2x5
18-10
8
6+4x4
6+16
22
6x9-9
54-9
45
7x9+1
63+1
64
4x6-6
24-6
18
List the factors of 0???
Answer: 7, 17, 96, are the factors of 0.
Step-by-step explanation:
Answer:
0 ,7, 17, 96
Step-by-step explanation:
Evaluate k + 26 when k = 10
Step-by-step explanation:
When k = 10
Then
k + 26
= 10 + 26
= 36
Hope it will help :)
Answer:
36
Step-by-step explanation:
k = 10
k + 26 =
10 + 26 =
36
Divya wants to make fruit smoothies for dessert. She purchases a container of rice milk for $3.49, two pounds of strawberries at $4.99 per pound, and six bananas at $0.75 each. How much did Divya spend on dessert? Show your work.
PLEASE HURRY
1 1/2 divided by 2 1/4
20 points!
Kathy was packing lunches for her 5 kids. She put the same items in each lunch box. She then decided to add 2 Oreos to each box. All together, she put 30 items in the lunch boxes. Which equation represents this situation?
Answer:
30/5-2 = number of items in each lunch box before adding the 2 Oreos.
Step-by-step explanation:
30/5=6 items in each box
6-2 Oreos=4 item besides the Oreos
30/5-2 = number of items in each lunch box before adding the 2 Oreos.
PLEASE HELP ASAP!!! 50 points
Write as a fraction with a whole number divisor: 35.7 ÷ 0.07
Answer:
510
that the whole number
The probability of picked a blue morble out of a bag of 50 marbles is 3/25. How Many marbles in the bag are not blue?
Answer:
44
Step-by-step explanation:
22/25 = not blue
22 × 2 = 44
please help me will give you brainliest!!
Answer:
Yes
No
No
Yes
Step-by-step explanation:
Is this ALEKS?
Answer:
-8 , -4 is a yes
1,4 is a yes
0, -7 is No
-3. -2 is No
Step-by-step explanation:
Pls branliest—0
complete the statement of each of these rules:
a (+)×(?)=(+)
b (-)×(+)=?
c (?)×(-)=?
Answer:
a) (+) × (?) = (+)
(?) = (+)
b) (-) × (+) = ?
? = (-)
c) (?) × (-) = ?
? is undefined
Step-by-step explanation:
a) (+) × (?) = (+)
From the given equation in the question, by dividing both side of the equation by (+), we have;
((+) × (?))/(+) = (+)/(+)
(?) = (+)/(+) = (+)
Therefore, we have;
(+) × (+) = (+)
(?) = (+)
b) (-) × (+) = ?
From the given equation in the question we apply the operation rules as follows;
(-) × (-) = (+)
(-) × (+) = (-)
Therefore;
(-) × (+) = ? = (-)
? = (-)
c) (?) × (-) = ?
From the rules of multiplication, we have;
(-) × (-) = (+)
(+) × (-) = (-)
Therefore, when (?) = (-), ? = +, from which we have;
(?) ≠ ?, which is an error
Similarly, when (?) = (+), ? = -, therefore, (?) and ?, always changes sign
Therefore, the equation, (?) × (-) = ?, is undefined.
FIND THE ORIGINAL PRICE SAW.
4. Nick's parents paid $435 for an x-box gaming system. This was after the 20%
Game Stop Loyal Customer member discount How much is the game console to
customers who are not Loyal Customer members?
Answer: $87
Step-by-step explanation:
OMg plzzz help due 5 minutes answer whatever u can and real answers plz
A box has a length of 8 centimeters, a width of 7 centimeters, and a height of 5 centimeters. What is the total volume of the box?
A 616161 cubic centimeters
B 969696 cubic centimeters
C 250250250 cubic centimeters
D 280280280 cubic centimeters