Answer:
y = -4/5x + 5
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Write equation in slope-intercept form
5y = -35 - 4x
y = -7 - 4/5x
Step 2: Write parallel line equation
y = -4/5x + 5
A parallel line is a line that has the same slope as the previous equation but a different y-intercept. They never intersect.
Which degrees is the answer
Answer:
75°
Step-by-step explanation:
Since the 2 angles are supplementary and TC is a perpendicular bisector, we know that m∠ATC is 90°
All we need to do is simply subtract 15° from 90° to find m∠ATB:
90 - 15 = 75°
Answer:
75°Solution,
Let m<ATB be X
[tex]x + 15 + 90 = 180[/tex]
(sum of angle in straight line)
[tex]x + 105 = 180[/tex]
subtract 105 on both sides
[tex]x + 105 - 105 = 180 - 105 \\ x = 180 - 105 \\ x = 75[/tex]
Hope this helps ...
Good luck on your assignment..
Sara wanted to gather data about the cost of local gyms in her area. She plotted the data and determined that the average gym costs consist of a one-time registration fee and a monthly fee modeled by the equation y = 10x + 30. Identify and interpret the y-intercept in this model.
Answer:
y-intercept is 30
Step-by-step explanation:
Given the model [tex]y = 10x + 30.[/tex] comparing this model to the equation of a straight lines we can get the y- intercept
[tex]y = 10x + 30\\\y= mx+c[/tex]
The y- intercept is 30 which is the constant factor and it describes to us about the one-time registration fee of $30.
The y-intercept in this model for the average gym costs is 30.
What is the y-intercept?In a linear equation, the y-intercept can be interpreted as the constant. It is the value that does not change with the number of months a person goes to the gym. The y-intercept can also be referred to as the fixed cost. In this question, the y-intercept is 30.
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Write the functions by the graphs
F(x)=
G(x)=
H(x)=
Answer:
f(x) = |x|
g(x) = |x| - 2
h(x) = |x| + 3
Step-by-step explanation:
All the functions graphed represent the absolute value functions.
Since function g(x) passes through (0, 0) and (1, 1),
Let the equation of a line passing through these points is,
y = mx + b
Slope of the line passing through these points 'm' = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{1-0}{1-0}[/tex]
m = 1
y-intercept of the line 'b' = 0
Therefore, equation of the line will be,
y = x
And the function representing the two lines (both are the mirror images) joining at the origin will be,
f(x) = |x|
When the parent function is shifted 3 units up, the new function will be
h(x) = |x| + 3
When the parent function is shifted 2 units down,
g(x) = |x| - 2
pls help me with my homework
Answer:
Any number larger than 10 units (in my example, 30 units)
Step-by-step explanation:
A scaled copy of a shape means that all the angles are the same and that it is basically the same shape that has been made bigger or smaller but still with the same proportions.
Note: If the scale factor is greater than 1, it means that Iria's scaled copy will be larger than this triangle.
Step 1.
Choose any number larger than 1 (as we aren't given the actual number she chose). To make things easy, I will choose the number 3 as it's a small number and it's a whole number (not a fraction or decimal).
Step 2.
Take the number you chose before (in my case, 3) and multiply it with the base length of the triangle in the diagram.
10 x 3 = 30 units
Note: Since the scale factor could be any number larger than 1, the base length can be any number larger than 10.
I hope this helps! :)
Bluey
Jackie exchanges 8 Kappa coins for 3 Gamma coins. Lana wants to exchange
32 Kappa coins. How many Gamma coins will she receive?
O 7
O 11
O12
O 40
Answer:
12
Step-by-step explanation:
8/3=2.66666666667
1 kappa coin=2.66666666667 gamma coins
32/2.66666666667=12
Answer:
12 gamma coins
Step-by-step explanation:
We can use a ratio to solve
8 kappa 32 kappa
------------------ = ----------------
3 gamma x gamma
Using cross products
8x = 3*32
Divide each side by 8
8x/8 = 32 *3/ 8
x = 32/8 *3
x = 12 coins
How should you solve the equation x divided by 15 equals 60? What is the resulting equivalent equation? Choose the correct answer below. A. Divide each side by 15. Then simplify. B. Divide each side by 60. Then simplify. C. Multiply each side by 15. Then simplify. D. Multiply each side by x. Then simplify. E. Divide each side by x. Then simplify. F. Multiply each side by 60. Then simplify. The resulting equivalent equation is x=
Answer:
C; x = 900
Step-by-step explanation:
1. Write out the problem: x/15 = 60
2. Multiply each side by 15 to solve for x. This is because of inverse operations, so if you divide x by 15 you have to multiply 15 to both sides. THis way the 15 cancels out in 15(x/15).
3. Equation then becomes this: x = 15*60
4. Answer: 900
5. Substitute to see if you were right. Ask yourself: Does 900 divided by 15 equal 60. If it does, then you are correct.
Please help!! You want to distribute 7 candies to 4 kids. If every kid must receive at least one candy, in how many ways can you do this?
Answer: 20ways
Step-by-step explanation:
Number of candies = 7
Number of kids = 4
Since each kid must receive at least one candy ;
Therefore number of candies left to ration is
7 - 4 = 3 candies ; among 4 kids.
To share 'n' identical object among 'r' number of individuals can be expressed in the form :
[n+(r-1)Cr-1]
n = 3 ; r = 4
[3+(4-1)C4-1] = 6C3
Recall: nCr = n! / (n-r)!r!
6C3 = 6!/(6-3)!3!
6C3 = 6!/3!3!
= (6 * 5 * 4) / (3 * 2 * 1)
= 120 / 6
= 20ways
a simple closed figure formed by three or more segement is called a
Answer:
Step-by-A simple, closed plane figure formed by three or more line segments meeting only at their endpoints is called a polygon. step explanation:
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Featured snippet from the web
A simple, closed plane figure formed by three or more line segments meeting only at their endpoints is called a polygon. Polygons are named according to the number of sides. A regular polygon has all sides congruent and all angles congruent
Answer:
Polygon
Step-by-step explanation:
a simple closed figure formed by three or more segement is called a Polygon. Polygons are named according to the number of sides. A regular polygon has all sides congruent and all angles congruent.
Hope this helps!
10
8
6
4
-10 8
.6 4.
4
6
8
10
4
-6
8
-10
14. How many solutions does the system contain?
O A. Two
B. One
C. Zero
D. Three
Answer:
c
Step-by-step explanation:
when you sample 3000 people is this a census or a sample?
Answer:
participants (random sampling) will determine the population to which we ... In other words, they had obtained a census rather than a sample. ... population characteristics from a relatively small representative sample of 2,000 to 3,000 people.
Answer: I'm Pretty sure its census
Step-by-step explanation: have a great day
Definition: A set of points that form a line are called a ___ pattern.
Answer:
linear
Step-by-step explanation:
linear pattern
Answer:
a linear pattern
Step-by-step explanation:
which is not an equation of the line going through (3, -6) and (1,2)
Figure B is a scaled copy of Figure A. What is the scale factor from Figure A to Figure B?
Answer:
1/3
Step-by-step explanation:
figure a to figure b is a reduction so we do the smaller side divided by the bigger side (use the similar sides on the figures)
5/15 = 1/3
or you could do 11/33 = 1/3
HELP ASAPPPPP!
What is the value of Fraction 1 over 2x3 + 3.4y when x = 2 and y = 5?
18
20
21
37
(p.s if its easy im in 5th grade dont judge)
Answer:
can you please make the question more clear!
Step-by-step explanation:
i am guessing you are asking if 1/ (2·2) (3+(3.4·5))=
1/ 4+17+3
1/24?
In the sequence 2001, 2002, 2003, ... , each term after the third is found by subtracting the previous term from the sum of the two terms that precede that term. For example, the fourth term is 2001+2002−2003=2000. What is the 2004th term in this sequence?
Answer:
The answer is 0.
Step-by-step explanation:
Let's call the answer a.
We want to find a(2004)
That's an even term. We look at the even terms:
2 2002
4 2000
6 1998
8 1996
10 1994
12 1992
We see that the pattern for the even terms is
"if you add n and a(n), the sum is always 2004."
That is n + a(n) = 2004, or,
a(n) = 2004-n when n is even
So when n = 2004, a(2004) = 2004-2004 = 0
Answer: 0
PLEASE HELP!! Question with picture is below
Answer:
It honestly does not matter, but I'd choose the ring because I feel like it is more pleasant to look at.
Step-by-step explanation:
We need to find the area of both shapes to compare:
3/4 of a circle:
A = 6^2pi
= 36pi
36pi(0.75) = 27pi
Ring:
A = 36pi
A2 = 3^2pi = 9pi
36pi-9pi = 27pi
As you can see, the two areas are the same.
Hope this helped! :)
Answer:
27
Step-by-step explanation:
The sum of two numbers is 264. One number ends with a zero. If this zero is erased, you get the second number. Find these numbers.
Answer:
240 is the number with a zero and 24 is the number with no zero
Step-by-step explanation:
240 + 24 equals 264 . 240 has a zero take away the zero and you get the second number
Vicki currently earns $35.00 an hour at her job. Thanks to her hard work, her boss is going to give her a 15% raise. How much will she earn each hour after the raise?
Answer:
$40.25 per hour
Step-by-step explanation:
If you multiply 35 by 15% you get 5.25. You can either add this on, or you can multiply by 1.15 instead of .15.
Find the surface area
Answer:
143 yards squared.
Step-by-step explanation:
According to the diagram, there are 6 sides: two trapezoids, and 4 rectangles.
To find the area of a trapezoid, you need to calculate using the formula shown below.
The height of each trapezoid is 3.5 yards. The b1 of each trapezoid is 3 yards. The b2 of each trapezoid is 7 yards.
So, the area of a single trapezoid is [3.5(3 + 7)] / 2 = (3.5 * 10) / 2 = 35 / 2 = 17.5 yards squared.
The area of two trapezoids will be 17.5 * 2 = 35 yards squared.
To find the area of a rectangle, do base times height.
There are, apparently, three types of rectangles in the diagram. All four rectangles have a width of 6 yards. One rectangle has a length of 3 yards, two rectangles have lengths of 4 yards, and one rectangle has a length of 7 yards.
So, the total areas of the rectangles are: (3 * 6) + 2(4 * 6) + (7 * 6) = 18 + 2 * 24 + 42 = 18 + 48 + 42 = 108 yards squared.
So, the total surface area of the figure is 35 + 108 = 143 yards squared.
Hope this helps!
ronaldo likes to display a section of soft drinks next to the register at the lunch counter at which he works. Each day, he chooses 4 soft drinks from the 7 different soft drinks that the lunch counter sells and decides the order in which he wants to display them. For any one day, how many different arrangements of soft drinks can ronaldo display?
Answer:
35 different Arrangements
Step-by-step explanation:
To solve this question, we would be using the Combination formula because is from the question, we are told that Ronaldo CHOOSES 4 soft drinks from 7 different soft drinks
Combination Formula = C(n,r) = nCr
= n!/r! (n - r)!
n = 7
r = 4
7C4 = 7!/4! (7 - 4)!
7C4 = 7!/4! 3!
7C4 = 7 × 6 × 5 × 4 × 3 × 2 × 1/(4 × 3 × 2 × 1) × (3 × 2 × 1)
7C4 = 35
Therefore, Ronaldo can display 35 different arrangements of soft drinks
Plsss help i will mark h as brainliest !!! :)
Start with the given:
Circle -3, square -6, and square 12.
Start with solving the circle that connects square -6 and square -12.
Since the two circles the surround the square are to be multiplied, divide the square value by one of the circle value.
In this case,
-6 ÷ -3 = 2
So now you have circle 2 and square 12. To solve the other square on the right, do the same technique done in the first part.
12 ÷ 2 = 6
Now multiply 6 and -3 to make the product in the square position.
6 × -3 = -18
So the answers:
Left Circle = 2
Right Circle = 6
Right Square = -18
Answer:
See below
Step-by-step explanation:
It would be like:
=> -3 * 2 = -6
=> 2 * 6 = 12
=> -3 * 6 = 18
Sam, John, Matt, and Bob are going to drive to Florida. It is a 8 1/4 hour drive. Sam drove 1 1/3 hours. John drove 1 5/6 hours. Matt drove twice as long as John. How many hours did Bob drive if he drove the remaining time?
Answer:
Step-by-step explanation:?
Step-by-step explanation:
total hours = 8 1/4= 33/4
Sam = 1 1/3 = 4/3
john=1 5/6 =11/6
matt= twice as long as john= 2(1 5/6)= 11/3
Bob= x
4/3+11/6+11/3 + x =33/4
11+22+8/6 + x =33/4
41/6 + x =33/4
x = 33/4 - 41/6
x= 99-82/12
x=17/12
x =1 5/12
therefore Bob drove 1 5/12.
The endpoints of CD¯¯¯¯¯¯¯¯ are C(−8,−6) and D(−4, 10). The coordinates of the midpoint M of CD¯¯¯¯¯¯¯¯ are ( , ).
Answer:
m(-6,2)
Step-by-step explanation:
m=(-8+-4/2,-6+10/2)
=(-12/2,4/2)
=(-6,2)
The coordinates of the midpoint M of CD of the line segment CD with endpoints, C(−8,−6) and D(−4, 10), are (-6,2).
What is midpoint?For a line segment, mid-point is the middle point of it which divides the line segment into the two equal parts.
The formula to find the midpoint using the coordinates of the line is,
[tex]m=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Here, (x1,y1) and (x2,y2) are the coordinates of the endpoints of the line.
The endpoints of CD are C(−8,−6) and D(−4, 10). To find the coordinates of the midpoint M, put the values in the above formula as,
[tex]m=\left(\dfrac{-8+(-4)}{2},\dfrac{-6+10}{2}\right)\\m=\left(\dfrac{-12}{2},\dfrac{4}{2}\right)\\m=\left(-6,2)[/tex]
Thus, the coordinates of the midpoint M of CD of the line segment CD with endpoints, C(−8,−6) and D(−4, 10), are (-6,2).
Learn more about midpoint here:
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Please help me find volume of prism
Answer:
216 yds
Step-by-step explanation:
Each are multiplied together by length, width, and height. 6 x 6 x 6 equals 216. So your answer is 216 yards.
Answer:
216 [tex]yd^3[/tex]
Step-by-step explanation:
Recall the formula for the volume of a prism:
[tex]Vol=W\,*\,D\,*\,H[/tex]
where W represents the prism's width, D its depth, and H its height.
In your case the prim is in fact a cube because the three dimensions above are equal (all of them are 6 yards)
Then the volume of this prism is:
[tex]Vol=W\,*\,D\,*\,H\\Vol= 6\,yd\,*\,6\,yd\,\,*\,6\,yd\,\\Vol= 216\,\,yd^3[/tex]
Select the correct answer. Which two points have an undefined slope? A. (-1,1) and (1,-1) B. (-2,2) and (2,2) C. (-3,-3) and (-3,3) D. (-4,-4) and (4,4)
Answer:
C
Step-by-step explanation:
An undefined slope means that the line is vertical and parallel to the y- axis.
A vertical line has equal x- coordinates of the points it passes through.
The only pair where the x- coordinates are equal are
(- 3, - 3) and (- 3, 3) ← undefined slope → C
Step-by-step explanation:
Answer: C. (-3,3) (-3,3)
Step-by-step explanation:
Evaluate x^1-x^-1+ x^º for x= 2.
Answer:
5/2
Step-by-step explanation:
Step 1: Plug in x
2¹ - 2^-1 + 2⁰
Step 2: Evaluate
2 - 1/2 + 1
3/2 + 1
5/2
Answer:
[tex]\boxed{\frac{5}{2} }[/tex]
Step-by-step explanation:
=> [tex]x - x^{-1} + x^0[/tex]
Rule of exponents [tex]x^0 = 1[/tex]
For x = 2
=> 2 - [tex](2)^{-1}[/tex] + 1
=> 5 / 2
=> [tex]\frac{5}{2}[/tex]
Which sum or difference is modeled by the algebra tiles?
Answer:
option 4
Step-by-step explanation:
(2x - 3) - (-3x + 4)
= 2x - 3 +3x - 4 {remove parenthesis by bringing in th (-) sign}
= 2x + 3x - 3 - 4 {add the like term}
= 5x - 7
Solve the inequality 9(x - 3) < 4(x + 10).
Answer:
The solution is the area x < 67/5
Step-by-step explanation:
Perform the indicated multiplication. We get:
9x - 27 < 4x + 40
Combining like terms results in:
5x < 67
Then the solution is the area x < 67/5
Answer:
Step-by-step explanation:
9(x - 3) < 4(x + 10)
9x - 27 < 4x + 40
-4x -4x
5x -27 < 40
+27 +27
5x < 67
/5 /5
x < 13.4
or
67/5
Three of the angles of a quadrilateral are 530, 1270 and 720. What is the size of the 4th angle?
Answer:
108
Step-by-step explanation:
There is 360° in a quadrilateral so:
53°+127°+72°=252°
360-252=180
Answer: 108°
Answer:
108
Step-by-step explanation:
Help with this question(will give thanks and brainlist)
Answer:
Step-by-step explanation:
base = 2x - 4 = 2*x -2*2 = 2( x - 2) in
Height = 3 in
[tex]Area=\frac{1}{2}base *height\\\\=\frac{1}{2}*2(x-2) * 3\\\\=(x - 2)*3[/tex]
= (3x - 6) square inches
Answer:
The area of the triangle is (3x-6) in² .
Step-by-step explanation:
You have to apply area of triangle formula :
[tex]area = \frac{1}{2} \times base \times height[/tex]
Then, you have to substitute the following expressions into the formula :
[tex]let \: base = 2x - 4 \\ let \: height = 3[/tex]
[tex]area = \frac{1}{2} \times (2x - 4) \times 3[/tex]
[tex]area = \frac{3}{2} \times (2x - 4)[/tex]
[tex]area = \frac{6}{2} x - \frac{12}{2} [/tex]
[tex]area = (3x - 6) \: {in}^{2} [/tex]