Answer:
Base = 3 cm
Step-by-step explanation:
Area of a triangle = [tex]\frac{1}{2} bh[/tex]
Let h = height
base = 2 times the height - 5; b = 2h-5
Area = 6 cm²
A = [tex]\frac{1}{2}bh[/tex]
[tex]6 =\frac{1}{2}(2h - 5)(h)[/tex] Multiply 2h(h) -5(h)
[tex]6 (2) = 2(\frac{1}{2})(2h^{2} - 5h[/tex] Multiply both sides by 2 to remove the fraction
12 = 2h²- 5h
2h ² - 5h - 12 = 0 Set the equation = 0 and factor
(2h + 3)(h - 4) = 0
2h + 3 = 0 or h - 4 = 0
2h = -3 h = 4
h = -3/2 or h = 4 Answer can not be negative so h = 4cm
The base is 2(4) - 5; The base = 8 - 5; base = 3 cm
Tom finished 2/4 , of his math homework on the school bus. What percent did he finish on the
bus?
Answer:
50
Step-by-step explanation:
Answer:
50%
Step-by-step explanation:
2/4 = 1/2
1/2 = 0.5
0.5 = 50%
(Could explain slightly more but this should get the point across!)
Carlo think he will go to the gym about 20 times a month.Calculate how much each of these options would cost carlo for one month. pay as you go
pay as you go. $______________
regular deal. $_______________
All-in-one price. $______________
20 divided by 4 is 5 so
4$ will be for pay as you go.
5$ will be for regular deal
4+5=9 so the all in one deal is 9$
The graph represents the distance a car traveled over time.
What is the constant of proportionality K.
Answer:
K=2/5
Step-by-step explanation:
So, I’m assuming that by constant of proportionality you mean slope of the line. To do that, you just figure out how y changes with x. The easiest way to do this is rise over run (y over x). If you look at the graph, there is a point that pass through (0,0) and another that passes through (5,2) so if you count how many spaces we moved up then how many spaces we moved right, you will get the slope of the line. Spaces moved up are 2-0=2 and spaced moved right are 5-0=5. Use rise over run which is going to be 2/5. So, K=2/5.
The sum of two numbers is 110.The larger number is 2 less than 7 times the smaller.Find the Large number
Answer:
The larger number is 96.
Step-by-step explanation:
[tex]let \: the \: two \: numbers \: be \: a \: and \: b \\ a + b = 110 \\ let \: a \: be \: the \: larger \: number \\ a = 7b - 2 \\ we \: can \: get \: the \: value \: of \: b \: by \: substituting \: the \: value \: above \: for \: a \: in \: eq \: 1 \\ 7b - 2 + b = 110 \\ 8b - 2 = 110 \\ 8b = 110 + 2 \\ 8b = 112 \\ b = \frac{112}{8} \\b = 14\\ calculate \:the \: value \: of \: a \: using \: the \: equation \: above \\ a + b = 110 \\ a = 110 - 14 \\ a = 96 \\ hence \: the \: large \: number \: is \: 96[/tex]
There are ten people lined up and they are lined up from shortest to tallest. determine the order of the people from the following clues
-bill is taller than will. will is taller than violet
-violet is taller than Ted. Cody is taller than violet but shorter than will
-sam is standing between sal and Todd, who is shorter than Bill but taller than Sam
-van is standing between Bill and Ian, who is standing next to Todd
-there are seven people standing between van and Ted.
NAMES
Ted, Bill, Ian, Van, Cody, Sal, Violet, Sam, Will, Todd
1 being shortest, 10 being tallest.
PLEASE PROVE YOUR WORK :)
9514 1404 393
Answer:
Ted-1, Bill-10, Ian-8, Van-9, Cody-3, Sal-5, Violet-2, Sam-6, Will-4, Todd-7
Step-by-step explanation:
The key to this seems to be "there are seven people standing between Van and Ted." This means either Van or Ted is at one end of the line. There will be one person standing at the end beside whichever one of these is not at the end of the line.
Then "Van is standing between Bill and Ian, who is standing next to Todd" tells you it is not Van who is at the end, but it is Bill. This tells you the four tallest people in decreasing order are Bill, Van, Ian, and Todd. We know Bill is not the shortest, because Bill is taller than Todd. That means Ted is the shortest.
The next shorter people than Todd are Sam and Sal (Sam is between Sal and Todd).
At this point we know the order of 7 people: the 6 tallest, and the shortest. The remaining 3 are Violet, Cody, and Will. Since "Cody is taller than Violet, but shorter than Will," we know the final order, shortest to tallest, is ...
Ted, Violet, Cody, Will, Sal, Sam, Todd, Ian, Van, Bill
What are the coordinates of point P?
O (-4, 3)
O (-3, 4)
0 (3,-4)
O (4, -3)
P
Answer:
A
Step-by-step explanation:
crawl before you walk.
For the function , what is the maximum value?
Answer:
The maximum value of a function is the place where a function reaches its highest point, or vertex, on a graph.
I hope it helps.
Which of the following is a run on sentence
Answer:
B.
Step-by-step explanation:
There is no pause and the use of a connection word (and) makes the sentence seem longer. Hope this helps :) brainliest?? <3
YES I WILL GIVE BRAINLIST
Which of the following systems of equations has exactly one solution?
Question 1 options:
2x+y=10y=−2x+8
2x+4y=102(x+2y)=10
2(2x+1)=yy=2x+8
y=10−2xy=−2x+7
Which of the following systems of equations has infinitely many solutions?
Question 4 options:
2x+7x+y=6y=9x+6
y=5x+7y=2x+8
y=x+42y=2x+8
7x−y=10y=6x+8
Answer:
Question 1) Option C: 2(2x+1) = y, y = 2x + 8.
Question 4) Option C: y = x + 4, 2y = 2x + 8
Step-by-step explanation:
Definitions:Perpendicular LinesThe graph of perpendicular lines will show an intersection of two lines at a single point, forming 90° adjacent angles. Since perpendicular lines intersect at exactly one point, then it means that they will have one solution. Additionally, perpendicular lines have negative reciprocal slopes for which multiplying the slopes of both lines result in a product of -1.
Coinciding LinesLines that have the same slope and y-intercept. Therefore, they are equivalent equations that will result in an infinitely many solutions. The graph of these lines will coincide on top of each other, as if they are the same line. The systems of linear equations that result in an infinitely many solutions are dependent and consistent. They are dependent if they have an infinite number of solutions, and consistent because they have at least one solution.
Parallel linesParallel lines have the same slope. A systems of linear equations whose graph involve parallel lines have no solution, as there is no point of intersection between those two lines. Therefore, parallel lines have no solution, making it an inconsistent system.
Question 1:We must transform these equations in its slope-intercept form, y = mx + b, which will allow us to easily determine the type of lines a given system has based on their slopes.
Option A:Equation 1: 2x + y = 10
Equation 2: y = −2x + 8
Transform Equation 1 to slope-intercept form:
2x + y = 10
Subtract 2x from both sides:
2x - 2x + y = - 2x + 10
y = -2x + 10 ⇒ This is the slope-intercept form of Equation 1.
Since Equations 1 and 2 have the same slope, but different y-intercepts, then it means that they are parallel lines that have no point of intersection.
Option B:
Transform both equations to slope-intercept form:
Equation 1: 2x + 4y = 10
[tex]\large\bf\sf{y\:=\:-\frac{1}{2}x\:+\:\frac{5}{2}}[/tex] ⇒ This is the slope-intercept form of Equation 1.
Equation 2: 2(x+2y) = 10
Distribute 2 into the parenthesis:
2(x+2y) = 10
2x + 4y = 10 ⇒ It is clear at this point that this equation matches Equation 1. Thus, the slope-intercept form of Equation 2 will be the same:
[tex]\large\bf\sf{y\:=\:-\frac{1}{2}x\:+\:\frac{5}{2}}[/tex] ⇒ Slope-intercept form of Equation 2.
It turns out that Equations 1 and 2 are equivalent, as they have exactly the same slope and y-intercept. Therefore, they have coinciding lines and have infinitely many solutions.
Option C:Transform both equations to slope-intercept form:
Equation 1: 2(2x+1) = y
y = 4x + 2 ⇒ Slope-intercept form of Equation 1.
Equation 2: y = 2x + 8
Option D:Equation 1: y = 10 − 2x
y = − 2x + 10 ⇒ This is the slope-intercept form of Equation 1.
Equation 2: y = −2x + 7
Since Equations 1 and 2 have the same slope, but different y-intercept, then it means that they are parallel from each other.
Answer for Question 1:Out of all the given four options, Option C seems to be the correct answer, since the given system has varying slopes and y-intercept. Therefore, the correct answer for Question 1 is Option C: 2(2x+1) = y, y = 2x + 8.
Question 4:For Question 4, I will not elaborate as thoroughly as in Question 1 since I'll be using the same techniques.
Option A)Equation 1: 2x+ 7x + y = 6
Combine like terms:
2x+ 7x + y = 6
9x + y = 6
Subtract 9x from both sides:
9x - 9x + y = - 9x + 6
y = - 9x + 6 ⇒ Slope-intercept form of Equation 1.
Equation 2: y = 9x + 6
Option A Explanation:
Equations 1 and 2 have different slopes and the same y-intercept. This implies that they will have a point of intersection = one solution. However, they don't have perpendicular lines because their slopes are not negative reciprocal of each other. Hence, Option A is not a valid answer for question 4.
Option B)Equation 1: y = 5x + 7
Equation 2: y = 2x + 8
Option B explanation:
Similar to Option A, Equations 1 and 2 have different slopes and varying y-intercepts. Since they are not parallel from each other, and do not have coinciding lines, then Option B is not a valid answer for question 4.
Option C)Equation 1: y = x + 4
Equation 2: 2y = 2x + 8
Transform Equation 2 to Slope-intercept form:
Divide both sides by 2 to isolate y:
[tex]\displaytext\mathsf{\frac{2y}{2}\:=\:\frac{2x\:+\:8}{2}}[/tex]
y = x + 4 ⇒ This is the slope-intercept form of Equation 2.
Option C explanation:
Equations 1 and 2 are equivalent, as they have exactly the same slope and y-intercept. They also have coinciding lines, having infinitely many solutions.
Therefore, Option C is the correct answer for Question 4.Option D)
Equation 1: 7x − y = 10
y = 7x - 10 ⇒ This is the slope-intercept form of Equation 1.
Equation 2: y = 6x + 8
Option D explanation:
Similar to Option B, Equations 1 and 2 have different slopes and varying y-intercepts. Since they are not parallel from each other, and do not have coinciding lines, then Option D is not a valid answer for question 4.
What is the length of side x?
Answer:
21
Step-by-step explanation:
10.5 ÷ 3 = 3.5
3.5 × 6 = 21
Find the slope of the line.
Answer:
[tex]m=\frac{-3}{2}[/tex]
Step-by-step explanation:
We can see certain points plotted which are (-1, 2) (1,-1) and (3, -4)
We use the slope formula to find slope with any two points that were given
[tex]m=\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
Pizza is sold at a restaurant in 3 sizes: small (S), medium (M), and large (L). Customers can choose from 4 toppings to be used on a 1-topping pizza. The 4 toppings are green peppers (G), ham (H), pepperoni (P), and olives (O).
A customer plans to order a large or medium 1-topping pizza with any topping except pepperoni (P).
This sample space shows all the types of 1-topping pizzas. Which outcomes in this sample space show the types of pizza the customer may order?
Select all correct outcomes
Using the given sample space, it is found that the types of pizza the customer may order is: {MG, MH, MO, LG, LH, LO}
The sample space is the set that contains all possible outcomes.
In this problem:
The pizza is large or medium, hence the first letter has to be M or L.The topping is any except pepperoni, hence, the second letter is G, H or O.Thus, the possible outcomes are: {MG, MH, MO, LG, LH, LO}
A similar problem is given at https://brainly.com/question/14798120
what is 846837947+858
Answer:
846,838,805
Step-by-step explanation:
Add 846837947+858
write a division expression that has a negative solution.
Answer:
3/-3=-1
Step-by-step explanation:
any number divided by a negative number gives a negative answer
Mr. Green’s hobby was restoring old houses. He recently purchased an old rundown house that needed a lot of repair, especially with the plumbing. The kitchen faucet dripped all day and night. It intrigued Mr. Green how much water dripped from this faucet in one day, but he surely didn’t want to sit and watch the faucet drip all day. So he figured that if he could discover how much water dripped within a certain time span, he could calculate the dripping rate for any time span. In his first observation he noted that 6 ounces of water dripped in 10 minutes.
A) Using Mr. Green’s observation, can you help him figure out how much water would have dripped in only 5 minutes?
Answer:
3 ounces of water
Step-by-step explanation:
If 6 ounces of water dripped in 10 minutes, then that means that in HALF the time (5 minutes), HALF the amount of water would drip, which is 3 ounces.
How do you evaluate (x+3)2 ?
Step-by-step explanation:
[tex]x = 1[/tex]
[tex] [/tex]
HOPE It Helps it;D
Answer:
2 • (x + 3)
Step-by-step explanation:
what is 10 feet then half that length again
Answer:
5 feet?
Step-by-step explanation: 10 divided by 2 = 5
Answer:
5 feet :D
Step-by-step explanation:
Well the answer would be 5 feet due to finding the half of a number you divide it by 2. 10 divided by 2 would be 5, so the answer is 5.
please help question 20 due on monday
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
It's letter C. Good luck
can you Solve for c?
Answer:
[tex]3\sqrt{2}[/tex] or [tex]\sqrt{18}[/tex]
Step-by-step explanation:
Use 45-45-90 triangle theorem
3*[tex]\sqrt{2}[/tex]
One year, the population of a city was 51,000. Several years later it was 61,200. Find
the percent increase
What is the percent increase
Answer:
20%
Step-by-step explanation:
(61200-51000)/51000×100
(102000/51000)×100
0.2×100=20%
Hope that helped! :)
can you guys help me
5x3+7=50? this is g.e.m.d.a.s
Answer:
It's 27
Step-by-step explanation:
5x3 = 15 + 7 =27
if x = 5 find the value of a) x² b) (x + 3)²
Answer:
x=5a)x²
5²=25
b] (x+3)²
(5+3)²
(8)²=64
what would be 8/1 x 1/2
Answer:
4.
Step-by-step explanation:
8*1 / 1*2
= 8/2
= 4.
[tex]8\times \dfrac 12 = 4[/tex]
if an angle is bisected to form two new 39° angles, what was the measure or the original angle
Answer:
78°
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
78°
Step-by-step explanation:
39 × 2 = 78
--
Bisected - Divided into two parts.
What is the equation of the line perpendicular to y = -4x + 3 that goes through (8, -3)?
two friends A and b invest some money in a buisness in the ratio 13:12. they make a profit of 542600. How much should b receive as profit if the profit is proportional to the investment
Answer:
Step-by-step explanation:
Decrease 80 in the ratio 3 : 4
Answer:
60
Step-by-step explanation:
A decrease in the ratio 3 : 4 implies that
new value : old value = 3 : 4
x : 80 = 3 : 4
x/80 = 3/4
x = 3/4 * 80
= 3 * 20
= 60
On this number line, zero represents sea level. Plot the following points based on the description provided by dragging and dropping the dots to the appropriate locations on the number line.
1.5 above sea level
absolute value of −4.5 −2 opposite of 4 absolute value of 1 2.5 below sea level greatest common factor of 8 and 12 −(−3) −3.5 Opposite of −5
I will give you brainleist and 50 plus points
Answer:
why didn't nobody answer this its so many points
Step-by-step explanation:
3.5 + 5 + 4 + 8.5 = 21
what each word means, in your own words
Please help at least by defining in your own words 3 or more.
Rotation
Transformation
Translation
Dilation
Angle of Rotation
Line of Reflection
Rotation - Rotation is a plane transformation that rotates every point in a figure through a given angle and direction on a fixed point.
Transformation - Transformation is a process that alters the shape and or position of a point, a line, or a geometric figure.
Translation - Translation occurs when a figure is relocated from one position to another without changing its size, shape, or orientation.
Dilation - Dilation is a transformation that alters the size of a figure, whether enlarging or shrinking it, but it has no effect on the shape of the figure.
Angle of Rotation - Angle of Rotation is the amount that a figure is rotated about a fixed point referred to as the point of rotation.
Line of Reflection - Line of Reflection is a transformation in which each point in a shape appears at an equal distance on the opposite side of a given line.
Hope this helps!!
50 points and brainliest to first correct answer. And NO LINKS. Ty :)
If ABCD is dilated by a scale factor of 2 about point E, which of the following is true about line E prime F prime?
Square ABCD is shown with line EF running horizontally through the center of the figure.
Question 2 options:
line E prime F prime is perpendicular to line EF.
line E prime F prime is parallel to line EF.
line E prime F prime intersects with point B′.
line E prime F prime passes through the center of dilation.
Go here to see the image (it wouldnt let me attach it). The answer on this one doesnt seem right so someone pls give correct answer :)
https://brainly.com/question/24244927
Is this the question below if it is the answer is..
Answer/Step-by-step explanation:
line E prime F prime passes through the center of dilation.