Answer:
Step-by-step explanation:
I'll get you the answer. You pick it from what you are given.
The slope of the perpendicular is m1 * m2 = - 1
m1 = 3
m2 = -1 / m1
m2 = -1 / 3
So far what you have is
y = (-1/3) x + b
Use the point go get b
x = -1
y = - 3
y = (-1/3) *x + b
-3 = (-1/3)*-1 + b
-3 = 1/3 + b
-3 - 1/3 = b
b = -3.33333 or
b = -3 1/3
b = -10/3
So the answer is
y = (- 1/3) x - 10/3 or
y = (-1 / 3)x - 3.3333 or
y = (-1/3 )x - (3 1/3)
The sum of a number and 3 is greater than 10
x < 7
x > 7
x < 13
x > 13
Answer:
x > 7
Step-by-step explanation:
Let x be the unknown number
x+3 > 10
Subtract 3 from each side
x+3-3 > 10-3
x > 7
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{\underline{The sum of a number and 3 is greater than 10.}}[/tex]
[tex]\large\textsf{Well, the word sum simply means add. The word number}\\\large\textsf{ is unknown so we will label it as x.}[/tex]
[tex]\large\textsf{We will make this your equation: x + 3 } \mathsf{ > } \large\textsf{ 10}[/tex]
[tex]\large\textsf{Now lets solve for your answer.}\downarrow[/tex]
[tex]\large\textsf{x + 3 }\mathsf{>}\large\textsf{ 10}[/tex]
[tex]\large\textsf{SUBTRACT 3 to BOTH SIDES}[/tex]
[tex]\large\textsf{x + 3 - 3 } \mathsf{>} \large\textsf{ 10 - 3}[/tex]
[tex]\large\textsf{CANCEL out: 3 - 3 because that gives you 0}[/tex]
[tex]\large\textsf{KEEP: 10 - 3 because that helps what is being compared to the x-value}[/tex]
[tex]\large\textsf{x } \mathsf{>} \large\textsf{ 10 - 3}[/tex]
[tex]\large\textsf{10 - 3 = \bf 7}[/tex]
[tex]\large\textsf{\bf x } \mathsf{\bf >\ } \large\textsf{ \bf 7}[/tex]
[tex]\boxed{\boxed{\large\textsf{Therefore, your answer is: \bf x}>\textsf{\bf 7}\huge\textsf{ (Option B.)}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
I need help with both, please explain thoroughly. Does it make a difference if it says "from the origin" or "about vertex _"???
Answer:
Yes
Step-by-step explanation:
From the origin means from the centre or middle but about a vertex is from a named point.
can someone please solve 3x^2+4x-7<13
Answer:
-10/3 < x < 2
so the answer is x<-10/3 or x>2
Step-by-step explanation:
:)
What is the inverse of the function y=-8x+15?
Answer:
y = (x-15)/-8
Step-by-step explanation:
When solving for an inverse function, swap x and y without bringing the x coefficient with it, just simply swap the variables. Then, solve for y, and that's it.
y = -8x + 15
x = -8y + 15
x-15 = -8y
(x-15)/-8 = y
Step-by-step explanation:
Hey there!
Given function is: y = -8x + 15
~ Interchange"X" and "y".
x = -8y + 15
~ Solve it
8y = 15-x
y = (15-x)/8
Therefore, the inverse of function is y = (15-x)/8.
Hope it helps!
PQRS is a rectangle with an area of 3 5cm 2 . Given Y = 12-X. show that x - 12x + 35=0
Step-by-step explanation:
Given that,
The area of a rectangle, A = 35 cm²
Let x is the length.
Width, Y = 12-x
We know that,
The area of a rectangle is given by :
[tex]A=lb[/tex]
[tex]x(12-x)=35\\\\12x-x^2=35\\\\-x^2+12x-35=0\\\\or\\\\x^2-12x+35=0[/tex]
Hence, [tex]x^2-12x+35=0[/tex].
Can someone help me I need it.
Answer:
C is the answer 3rd one...
help help help help it is little simple
3x ² - 2x + 1 = 2x ² - 3x + 7
x ² + x - 6 = 0
(x + 3) (x - 2) = 0
x + 3 = 0 or x - 2 = 0
x = -3 or x = 2
A knight traveled on his horse from one kingdom to another for 2 days. The first day he rode at a speed of 20 mph, and the second day he rode at a speed of 30 mph. If he traveled exactly the same amount of time each day and went 800 miles, find how many hours it took the knight to travel from one kingdom to another.
Answer:
Step-by-step explanation:
That was some horse.
20*t + 30*t = 800 Each day he rode the same amount of time (t). On the first day, he rode a distance of 20*t. On the second day, he rode a distance of 30*t
50t = 800
t = 800/50
t = 16
Each day he rode 16 hours
Total time = 32 hours.
Answer:
32 hours
Step-by-step explanation:
which of the following is the x-coordinate of the solution to the system shown below
2x + y = 17
x - y = 4
———————————————
(1) x = 5
(2) x = 2
(3) x = 7
(4) x = 12
thank you in advance to ANYONE who answers this question:)))
Answer:
Step-by-step explanation:
Decrease £180 by 12.5%
Answer:
£ 157.5
Step-by-step explanation:
12.5 × 180 = 22.5
100
180 - 22.5 = 157.5
I hope this helps.
i need help and nobody's helping me :(
find the range of the function y = -x^(2) + 1
y ≤ -1
y ≥ -1
y ≤ 1
y ≥ 1
Answer:
C
Step-by-step explanation:
y=-x^2+1. y is a decreasing function as x^2 is an increasing function
The perimeter of a rectangle is 12 inches. If the rectangle has a width that is 2 inches less than its length, what is its area in square inches?
Answer:
The area is 8
Step-by-step explanation:
If the perimeter is 12, we can just start guessing and checking. in this case, if 4 is the length, that means 2 is its width, since 4-2=2. then you find the area(basexhight) 4x2=8!
Calculate the sum of the even numbers from 2 to 48.
Answer:
462 is the exact answer
Step-by-step explanation:
Answer:
Even Numbers from 2 to 48:
2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48.
Add
2+4+6+8+10+12+14+16+18+20+22+24+26+28+30+32+34+36+38+40+42+44+
46+48= 600
OAmalOHopeO
A line of best fit must pass through all data points of a graph.
True or False?
AC. DF, and GI are parallel. Use the figure to complete the proportion.
AD/DG = ?/EH
Answer:
BE.
Step-by-step explanation:
If AD is to DG, then BE must be to EH, and CF must be to FI.
(-32ux+19u^2x^3-12u^6x^7) divided by (-4u^2x^3)
Answer:
\left(-32ux+19u^2x^3-12u^6x^7\right)\:divided\:by\:\left(-4u^2x^3\right)
Step-by-step explanation:
Factor the numerator and denominator and cancel the common factors.
\frac{8}{ux^2}\:-\frac{19}{4}+3u^4x^4
Kristi finds a shirt for $27.99 at the store.
The sign says that it is 25% off the
original price. Kristi must also pay the 8.5%
sales tax. What is the cost of the shirt
after the sales tax?
Answer:
Kristi will pay $22.77 for the shirt.
Step-by-step explanation:
First, determine the sales price of the shirt. If the full price is $27.99, a 25% reduction is $7. Subtract the discount from the full price to get a sales price of $20.99 for the shirt.
Next, determine the amount of tax Kristi will pay for the shirt. In her state, the sales tax is 8.5% (0.085). Multiply $20.99 by 0.085 and you will see that the sales tax is $1.78. Add the amount of the tax, $1.78, to the sales price of the shirt, $20.99, and you will get $22.77 as the cost of the shirt after the sales tax is added.
The number of days (d) is equal
to the quotient of the number of
hours (h) and 24.
A. d = h - 24
B. h = 24 d
C. h = 24 h
D. h = 24 + h
Answer:
B
Step-by-step explanation:
[tex]d \: = \frac{h}{24} [/tex]
make h the subject of the formula
h = 24 d
Can someone help me with this math homework please!
Answer:
2 option---------------------------
Hope it helps...
Have a great day!!
Answer:
B
Step-by-step explanation:
From -1 to 1 on the x-axis, the graph has to be below the x-axis because then the y-values will be negative.
Answer choice C & D have the graph above the x-axis in that interval, so it's positive instead of being negative. We can cross out those two answer choices.
The reason why answer choice A isn't correct is because at 1, the graph line is above the x-axis, since the brackets [-1, 1] means it includes -1 and 1.
So the only answer left is B.
Hope that helps (●'◡'●)
what is rational number and arithmetic number
[tex] \huge \mathtt \blue{answer}[/tex]
Here, “p” is a numerator and “q” is a denominator. The examples of rational numbers are 6/5, 10/7, and so on. The rational number is represented using the letter “Q”. Like real numbers, the arithmetic operations, such as addition, subtraction, multiplication, and division are applicable to the rational numbers.
Formula to count binary number system
Answer:
learn what is binary system
add one by changing the last 0 into 1
Write another digit if all the numbers are one.
Use these rules to count to five.
Count to six.
Count to ten
Notice when new digits get added.
Practice with higher numbers.
hope this will help you and pls answer my questions also
Factorise x²-5 please
[tex]\sf \: {x}^{2} - 5[/tex]
[tex]\sf \: Use \: the \: algebraic \: identity \\ \sf \: a {}^{2} - {b}^{2} = (a - b)(a + b)[/tex]
[tex]\sf \: Substitute \: the \: value \: of \: a \: and \: b \: in \: the \: identity.[/tex]
[tex]\sf \: a = \sqrt{x ^{2} } = x \\ \sf \: b = \sqrt{5} [/tex]
[tex]\sf \: the \: identity \: becomes \: [/tex]
[tex]\sf {x}^{2} - 5 \\ \sf = (x - \sqrt{5} )(x + \sqrt{5} ) \\ [/tex]
Answer ⟶ [tex]\boxed{\bf{(x - \sqrt{5} )(x + \sqrt{5} )}}[/tex]
Question 2 8 Find the coordinates of the points of intersection of the curve 1 and the line +9 [0]
Answer:
point 1 = (3, 6)
point 2 = (24, -15)
Step-by-step explanation:
8/x - 10/y = 1
x + y = 9
x = 9 - y
=>
8/(9-y) - 10/y = 1
8 - 10×(9-y)/y = 9 - y
-90/y + 10y/y = 1 - y
-90/y + 10 = 1 - y
-90 + 10y = y - y²
y² + 9y -90 = 0
the solution to a squared equation is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case we use y instead of x.
a = 1
b = 9
c = -90
y = (-9 ± sqrt(81 - -360))/2 = (-9 ± sqrt(441))/2 =
= (-9 ± 21)/2
y1 = 12/2 = 6
y2 = -30/2 = -15
8/x - 10/6 = 1
8 - 10x/6 = x
8 - 5x/3 = x
24 - 5x = 3x
24 = 8x
x = 3
8/x - 10/-15 = 1
8/x + 2/3 = 1
8 + 2x/3 = x
24 +2x = 3x
24 = x
Please please please help!!!!
======================================================
Explanation:
The rule we use is
a^b * a^c = a^(b + c)
This says that if we multiply exponential expressions with the same base, then we add the exponents. We keep the base the same the entire time.
For example, 2^3*2^4 = 2^(3+4) = 2^7
--------------
For this problem, we'll say,
5^(56)*5^(22)*5^(-96)
5^( 56+22+(-96) )
5^(-18)
Be sure that you use parenthesis so that you tell your teacher that all of the -18 is in the exponent. Saying 5^-18 could lead to ambiguity.
Answer:
sorry it he question isn't clear
Can anyone assist me with this problem ?
Answer,
C
Step-by-step explanation:
I had the same question 2 days ago
please help to solve my doubt....tomarrow math exam
Dividing polynomail
[tex](4 - 10x - {6x}^{2} ) \div (4 + 2x)[/tex]
Answer:
Step-by-step explanation:
Calculate the next 3 terms and write the formula for the nth term for the following sequences. 24,11,-2
Answer:
next 3 terms are -15, -28, -41. The formula would be n= (n-1)-13 to get the nth term
Step-by-step explanation:
Which pair shows equivalent expressions? 12x+10=-2 (x-5) -2(x+5)=2x-10 -2x-10=-2(x+5) -2(x-5)=-2x-10
Answer:
-2x-10=-2(x+5)
Step-by-step explanation:
Just multiply and find the pair that matches which happens to be the 3rd pair. you're welcome
The area of a parallelogram is 64 m2. If a diagonal divides the parallelogram into 2 triangles, what is the area of 1 of the triangles?
a. 4 m2
b. 128 m2
c. 32 m2
d. 8 m2
Answer:
[tex]32\:\mathrm{m^2}[/tex]
Step-by-step explanation:
When cut by a diagonal, the parallelogram will be divided into two congruent triangles. By definition, congruent polygons have equal areas. Therefore, let the area of each of the triangle be [tex]x[/tex]:
[tex]x+x=64,\\2x=64,\\x=\frac{64}{2}=\boxed{32\:\mathrm{m^2}}[/tex]
