Answer:
The slope of a line parallel to this line will be: -7/9
The slope of the perpendicular line will be:
[tex]\frac{-1}{\frac{-7}{9}}=\frac{9}{7}[/tex]
Step-by-step explanation:
We know the slope-intercept form
[tex]y=mx+b[/tex]
Here,
m is the slope b is the y-interceptGiven the equation
[tex]7x+9y=5[/tex]
simplifying to write in the lope-intercept form
[tex]y=-\frac{7}{9}x+\frac{5}{9}[/tex]
Thus, the slope of the line is: -7/9
The slope of a line parallel to the line:
We have already determined that the slope of the line is: -7/9
We know that the parallel lines have the same slope.Thus, the slope of a line parallel to this line will be: -7/9
The slope of a line perpendicular to the line:
We have already determined that the slope of the line is: -7/9
As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.
Thus, the slope of the perpendicular line will be:
[tex]\frac{-1}{\frac{-7}{9}}=\frac{9}{7}[/tex]
I need help solving this
Answer:
I think it's C.
Step-by-step explanation:
The Correct and Right Answer Is C
What is the diameter of the circle shown above?
A) 1 inch
B) 3.14 inches
C) 8 inches
D) 16 inches
HURRY PLEASE DUE IN A FEW MINUTES!!! WILL MARK THANKS, 5 STARTS AND BRANLIEST IF RIGHT!!!!!!
Answer:
D. 16 in.
Step-by-step explanation:
The radius of the circle is 8 in. The diameter of any circle is twice the radius.
2 x 8 = 16
The diameter is 16 in. long.
I hope this helped :)
Richardo had saved $80 from his summer job to buy video games. He
bought 4 games and the cashier gave him $16.40 in change. If each
game cost the same amount, how much was each game?
Leave off the dollar sign in your answer.
Answer:
$15.90
Step-by-step explanation:
80 - 16.40 = 63.60
63.60÷4 =15.9
15.9 = $15.90
I need help solve this problem
Answer:
i am not sure of my answer sorry can you make the question simpler maybe then I can answer it
Step-by-step explanation:
Tickets for a family of 6 to go skiing cost $48. whats the unit price ?
Select all of the fractions that are equivalent to -2/3
o 2/-3
o -3/-2
o -2/-3
o - 2/3
o -3/2
o -2/2
Please helppp
Answer:
Step-by-step explanation:
⇒o 2/-3 Doesn't matter where the minus is as long as there an odd numbere of them.
o -3/-2
o -2/-3
⇒o - 2/3 This is given. Is it really listed.
o -3/2
o -2/2
There really are only 2 of them. 3/2 in any form is not equal to 2/3.
-2/2 = - 1 not -2/3
-2/-3 There are an even number of - signs. The answer is 2/3
What is 10and 1 half divided by 7 eights
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
10 1/2 / 7/8= 12
Which of the following expressions are undefined? CHOOSE ALL THAT APPLY
A. 6/0
B. 5/0
C. 6/5-5
Answer:
6/0, 5/0, 6/5-5
Step-by-step explanation:
You cannot divide a number by 0:
6/0 is dividing by 05/0 is dividing by 06/5-5=6/0 which is dividing by 0Helppppp
Thank You!!!
Answer: B and C
Step-by-step explanation: To start off, you subtract 3 from both sides, to get 4<z/2, then multiply both sides by 2, you get z>8. Now it's greater than 8, so it can't equal 8, so the answers would be B and C, since they are both greater than 8, and you have to select multiple choices.
Help plz test !! Four more than the product of a number and 10 is at most the opposite of 12.
Answer:
-1.6
Step-by-step explanation:
4 + 10x = -12
10x = -12 -4
x= -1.6
suppose the depth of the tide in a certain harbor can be modeled by y = 20 + 5 cos (pi/6 t), where y is the water depth in feet and t is the time in hours. Consider a day in which t = 0 represents 12:00 midnight. For that day, when are high tide and low tide and what is depth of each
Answer:
- high tide occurs at 12 noon and 12 midnight
- Low tide occurs at 6 a.m and 6 p.m
- maximum depth value = 20 ft
- Minimum depth value = 15 ft
Step-by-step explanation:
The depth is modelled as;
y = 20 + 5 cos (πt/6)
We are told that t = 0 represents 12:00 midnight.
This is high tide because at t = 0, the cos function will be at it's maximum value of 1 since cos 0 = 1.
Max depth value is;
y = 20 + 5(0)
y = 20 ft
Minimum depth value will be the low tide and it will be when the cos function is equal to -1.
Thus;
y = 20 + 5(-1)
y = 15 ft
Since t represents number of hours and since at 12 midnight, t = 0, thus; high tide will occur again at;
12 noon
Also, let's check for low tide.
Let's try t = 6 which means 6 a.m
Thus;
y = 20 + 5 cos (π(6)/6)
y = 20 + 5 cos π
Cos π has a value of -1
Thus;
y = 20 + 5(-1)
y = 20 - 5
y = 15 ft
Thus;
Low tide occurs at 6 a.m and 6 p.m
Subtract. Write your answer in simplest form.
3 1/8 - 7/12
A. 2 1/24
B. 3 13/24
C. 2 13/24
D. 3 11/24
Answer:
I believe it is D
Step-by-step explanation:
What is the slope of the line represented by 3x - 7y = 28?
Can anyone help me please??? Almost done Thank you!!
Answer:
you might’ve already answered this but it’s 65
Step-by-step explanation:
the two sides in a triangle have to be congruent so if one angle is 65, the other has to be 65 too :)
Answer:
65
Step-by-step explanation:
the given triangle is an isoceles triangle and opposite angles of opposite equal sides of isosceles triangle are equal
rationalise the denoninator of 1 ÷ 5 - square root of 2
Answer:
Square root2 /3
Step-by-step explanation:
1. Multiply both numerator and denominator by square root of 2.
2. Square root 2 times itself is just 2 that so denominator is 5-2
3. 1 times Square root 2 is just Square root 2. So numerator is Square root 2
4. 5-2=3 so final answer is Square root 2 over 3
Using the given table of an exponential function, determine the growth/decay factor as well as the rate of increase/decrease. Type your answers in as numbers. Example: Growth Factor: 3.5, Rate of Increase: 2.5. (Do not input your rate of increase as a percent.)
Answer:
Growth rate is -0.25
Growth factor is 0.75
Step-by-step explanation:
The general form of an exponential equation is;
y = a(1 + r)^x
Where a is the initial value
r is the growth rate
For x = 3; we have
168.75 = 400(1 + r)^3 •••• (i)
For x = 2, we have
225 = 400(1 + r)^2 •••••(ii)
Divide i by ii
That will be;
168.75/225 = 1 + r
1 + r = 0.75
r = 0.75-1
r = -0.25
The growth rate is -0.25
The growth factor is 1-0.25 = 0.75
13
A local business is calculating the total profit made f(x) after selling
x cupcakes. The business would like to predict their profit by creating an equation for the function.
Write an equation that models the total profit for the business below.
Drag and drop the numbers into the boxes to create the function's equation. Not all numbers listed will be used.
x | f(x)
_____
3 | -5
7 | -2
11 | 1
15 |4
(it won’t allow me to send another pic with the chart so i hope this helps. & the picture i did attach are the things you have to use to create the problem it has to be in the form f(x) = _ x + _
Answer:
The required equation is: [tex]\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}[/tex]
Step-by-step explanation:
We need to find equation from the table given
x f(x)
3 -5
7 -2
11 1
15 4
We can write equation in the form of [tex]y=mx+b[/tex]
where m is slope and b is y-intercept.
Finding Slope
We can used the slope formula to find slope: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the table we have: [tex]x_1=3, y_1=-5, x_2=7, y_2=-2[/tex]
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-2-(-5)}{7-3} \\Slope=\frac{-2+5}{7-3}\\Slope=\frac{3}{4}[/tex]
So, we get slope [tex]m=\frac{3}{4}[/tex]
Now, finding y-intercept
Using the slope [tex]m=\frac{3}{4}[/tex] and point (3,-5) we can find y-intercept
[tex]y=mx+b\\-5=\frac{3}{4}(3)+b\\-5=\frac{9}{4}+b\\b=-5-\frac{9}{4}\\b=\frac{-5*4-9}{4}\\b=\frac{-20-9}{4}\\b=\frac{-29}{4}[/tex]
The y-intercept is [tex]b=\frac{-29}{4}[/tex]
So, the equation having slope [tex]m=\frac{3}{4}[/tex] and y-intercept [tex]b=\frac{-29}{4}[/tex] will be:
[tex]y=mx+b\\y=\frac{3}{4}x-\frac{29}{4}[/tex]
The required equation is: [tex]\mathbf{f(x)=\frac{3}{4}x-\frac{29}{4}}[/tex]
Jack and Jill are walking toward each other on a path. When they start out they are 15 miles apart. Jack walks at a pace of 1.5 miles per hour. Jill walks at a pace of 2 miles per hour. How far apart will they be after 4 hours.
Answer:
1 mile
Step-by-step explanation:
Step one:
given
total distance = 15miles
Jack walks at a pace of 1.5 miles per hour
after 4 hours he will cover a distance of
1.5*4= 6 miles
Jill walks at a pace of 2 miles per hour
after 4 hours he will cover a distance of
2*4= 8 miles
Step two:
The total distance jack and jill must have covered after 4 hours is
8+6= 14 miles
the distance apart will be 15-14= 1 mile
i need help with surface area
convert 18 1/10 into a decimal.
Answer:
the answer is 18.1 1/10 is the same thing as .1
What is the solution to this equation?
9x + 5 = 86
Answer: 9(9)+ 5 = 86
Step-by-step explanation: the x equals 9 so means 9(9) + 5 = 86
Answer:
x = 9
Step-by-step explanation:
9x + 5 = 86, minus 5 of both sides
9x = 81, divide 9 on both sides
x = 9
I can't figure out d - 11
Answer: d = 17
Step-by-step explanation:
d - 11 = 6
So, by adding 11 to each side you'd get rid of the -11 on the left and isolate the variable
d = 17
What is the value of z in the equation 4z-15=25
Answer:
z=10
Step-by-step explanation:
4z - 15 =25
4z - 15+15 =25+15
4z=40
z=10
4. Tell if the measures 6, 14, and 13 can be side lengths of a triangle. If so, classify the triangle as acute,
right, or obtuse.
a. Yes; acute triangle
c. Yes; right triangle
b. Yes; obtuse triangle
Answer:
A. Yes; acute triangle
Step-by-step explanation:
a=6
b=14
c=13
Using Pythagorean theorem-
c^2 = a^2 + b^2
13^2 = 6^2 + 14^2
169 = 36 + 196
169 = 232
169 < 232
Therefore, (a) the triangle is acute.
If 169 =169 there would be a right triangle.
If c were greater than a + b there would be an obtuse triangle.
Given that g(x) = −2x+20, find g(−3).
Answer: 26
Step-by-step explanation:
Okay, so... The new equation would be -2(-3)+20...
So follow the rule of PEMDAS, PEMDAS is;
Parentheses
Exponents
Multiplication
Division
Adding
and Subtracting
Since there are no equations in parentheses and no exponents, we start with multiplication. Which would be -2(-3). ANY parenthesized number beside another number means you must multiply them.
-2(-3) = 6 because a negative multiplied by a negative is a positive..
Now we have 6 + 20 which is 26, so 26 is your answer.
Let fx) = x + 11 + 2 and g(x) - 2 x + 11. When does f(x) = g(x)?
Answer:when x= -2/3
That means, when the common product of f(x) & g(x) is x+2/3
Step-by-step explanation:
If f(x) = x4 – 5, then what is the remainder when f(x) is divided by x + 1?
Answer:
The remainder is: f(-1) = -4
Step-by-step explanation:
We know that when a polynomial function f(x) is divided by x-c, then the remainder is f(c)
Given the function
[tex]f\left(x\right)\:=\:x^4\:-\:5[/tex]
It is stated that the function f(x) is divided by x + 1.
Thus, substituting x = -1 in the function to find the remainder f(-1)
i.e
f(-1) = (-1)⁴ - 5
f(-1) = 1 - 5
f(-1) = -4
Therefore,
The remainder is: f(-1) = -4
Answer:
9
Step-by-step explanation:
Given the quadratic equation: f(x) = x2+4x-21
What are the factors of the quadratic (factored form/intercept form)? Show your work.
PLEASE HURRY
[tex]f(x)=x^2+4x-21\\f(x)=(x+7)(x-3)[/tex]
These are x-intercepts form. So the answer is (x+7)(x-3).
What sum is represented by the arrow diagram?
Answer:
Would it be 1?
Step-by-step explanation:
I'm not that sure but it seems it goes up to 4 so 4- -3 = 1. Exuse me if my wrong..
a line with the slope of 3/4 contains the point (1.2). which plot also lies on the line?
A. (4,6)
B. (4,7)
C. (5,5)
D. (5.6)
Answer:
c or d
Step-by-step explanation: