One side of a right triangle is 8 cm shorter than the hypotenuse and 7 cm shorter than the third side. Find the lengths of the sides of the triangle.
Answer:
5 cm
Step-by-step explanation:
Let the shorter side be a, longer side be b, hypotenuse be c
By Pythagorean theorem:
a² + b² = c²
a² + (a + 7)² = (a + 8)²
a² + a² + 14a + 49 = a² + 16a + 64
a² - 2a - 15 = 0
a² + 3a - 5a - 15 = 0
a(a + 3) - 5(a + 3) = 0
(a + 3)(a - 5) = 0
a = -3 or a = 5
Because a is a side length and is a positive number
a = 5
The blues band, Jonny and the Silver Toads, charges $25 per ticket at their performances. Their next venue charges them $900 for use of the venue. Based on the inequality below, how many tickets, , do they need to sell in order to profit at least $1,925?
Answer:
The band must sell at least 113 tickets to make a net profit of at least $ 1,925.
Step-by-step explanation:
While the band charges $ 25 for each entrance ticket to their performances, and the venue charges them $ 900 for the use of the place, the number of tickets that must be sold for the band to obtain a profit of at least $ 1,925 arises from the following calculation:
1,925 + 900 = Costs plus profit
2,825 / 25 = Number of tickets needed to cover costs and profit
113 = Number of tickets needed to cover costs and profit.
Therefore, the band must sell at least 113 tickets to make a net profit of at least $ 1,925.
Comparing Linear Functions Written in Different Ways Compare the linear functions expressed below by data in a table and by an equation. A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative four-thirds, 1, 4. Column 2 is labeled y with entries negative StartFraction 9 Over 2 EndFraction, negative 1, three-fourths, 3. y = three-fourths x. Which of the following statements are true? Select all that apply. If the equation were graphed, it would be a horizontal line. Both functions have the same slope. The origin is the y-intercept for the function expressed in the table. The linear equation does not have a y-intercept. The table and the graph express an equivalent function.
Answer:
#2
Both functions have the same slope.
#3
The origin is the y-intercept for the function expressed in the table.
#5
The table and the graph express an equivalent function.
Answer:
B, C, E
Step-by-step explanation:
I got it right on edge
Graph the function f(x) = x2 – 2x – 8. Which features are correctly stated?
Answer:
C, B
Step-by-step explanation:
C: When you substitute F(0) = -8
B: You just have to find the x value of the lowest point of the graph
Given AACD and AABE, what is AB?
Helpppp plzzzzzzzzz plzzzzzzzzz
-4,-9/4, 1/2,s.r. 5, 3.7
A 4-cup bottle of soda costs $5.64. What is the price per pint?
Answer:
2.82
Step-by-step explanation:
A pint is two cups, and 5.64 divided by 2= 2.82
please help i will give brainlest
Answer:
Y - (5) = -2 (x - 0)
Step-by-step explanation:
Find a perfect point, in this case I used the y-intercept (0,5), and find the slope. Then plug into the equation y - y1 = m (x - x1) and simplify. This will give you the slope point form of the line.
Answer:
Step-by-step explanation:
Rise over run.
m= (y2-y1)/ (x2-x1)
plug in (2,1) and (1,3)
so the slope is -2
point slope form y=mx+b
m is the slope
y = − 2 x+
what method is this?
How can we use ratios and proportional relationships to help us in our daily lives?
Answer:
In cooking (recipes).
Step-by-step explanation:
If the serving size for a recipe is not adequate for the number of people you are serving, you will have to convert the amounts(measurements) of the ingredients to suit your needs. You will do this by first creating a ratio defining the relationship between the serving size of the given recipe to the number of people needed to be served. For example, if a recipe serves 4 people, and you need to serve 8, your ratio would simplify to 1/2. This means you must proportionally relate this ratio to the individual amounts of each ingredient.
I don’t get it , can somebody help me please don’t give me the wrong answer
Answer:
D) 132
Step-by-step explanation:
y + 3x = 180 {Co interior angles}
y = 180 - 3x ------------(I)
7x + 20 = y {Vertically opposite angles}
7x + 20 = 180 - 3x {From equation (I)}
7x + 3x +20 = 180
10x + 20 = 180
10x = 180 -20
10x = 160
x = 160/10
x = 16
Plug in x = 16 in equation (I)
y = 180 - 3x
= 180 - 3*16
= 180 - 48
y = 132
Answer this Question plz and thank you and don’t forget to explain your answer because that’s what I need
Answer:
decrease
12%
Step-by-step explanation:
the number went down
3.499*0.88=3.097
so 12% decrease in price
This equation has one solution.
5(0-1) + 3y = 7(x + 1)
What is the solution?
Answer:
7x - 3y = -12
Step-by-step explanation:
5(0-1) + 3y = 7(x + 1)
using BODMAS to solve
5(-1) + 3y = 7(x + 1)
-5 + 3y = 7x + 7
7x - 3y = -5 - 7
7x - 3y = -12
what is the answer. can someone help me .
Answer:
your photo is not visible for me
Answer:
54
Step-by-step explanation:
11x=26=180
x=14
8x+p+14=180
p=54
What are the coordinates for E?
Answer:
(-6,0)
Step-by-step explanation:
It's on the x-axis which would be -6 and yet it's at the 0 of the y-axis.
Answer:
(-6,0)
Step-by-step explanation:
due its on left side
Let u = ⟨9, –2⟩, v = ⟨–4, 3⟩, and w = ⟨5, 1⟩. Kelcy incorrectly determined 3u – 5(v + w) to be ⟨32, –26⟩. Review her steps as shown.
3u – 5(v + w)
3⟨9, –2⟩ – 5[⟨–4, 3⟩ + ⟨5, 1⟩]
⟨27, –6⟩ – 5[⟨–1, 4⟩]
⟨27, –6⟩ + ⟨5, –20⟩
⟨32, –26⟩
What mistake did Kelcy make?
Answer:
She added incorrectly
Step-by-step explanation:
Answer should be (22, -26) but Kelcy got wrong because she has taken -1 in third step instead of taking 1 because -4 +5 is 1.
What are Vectors?A vector is a quantity or phenomenon that has two independent properties: magnitude and direction.
Let u = ⟨9, –2⟩, v = ⟨–4, 3⟩, and w = ⟨5, 1⟩
3u – 5(v + w)
3(9, -2)-5(⟨–4, 3⟩+⟨5, 1⟩)
Multiply 3 to (9, -2) and add v and w
(27,-6)-5(1,4)
(27, -6)-(5, 20)
Subtract the vectors
(27-5, -6-20)
(22, -26)
The answer should be (22, -26) but Kelcy got wrong because she has taken -1 in third step instead f taking 1 because -4 +5 is 1.
Hence, answer should be (22, -26) but Kelcy got wrong because she has taken -1 in third step instead f taking 1 because -4 +5 is 1.
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Which are undefined terms that can be used to define other terms?
Answer: rocky or Bert
Step-by-step explanation: jib leg is hertz
A car is traveling at a rate of 32 miles per hour. At this rate, how many miles will the car will travel in 30 minutes?
Pls this will make my christmas
Answer:
32/2 is 16.
So.... 16 miles per 30 minutes
Step-by-step explanation:
Merry Christmas
Answer:
16 miles in a half hour
Step-by-step explanation:
divide the hour in half and then divide the 32 mph to get the 16 mph.
Divide by using synthetic division .
(5x²-4x+12) : (x+3)
Answer:
5x-19+[tex]\frac{69}{x+3}[/tex]
Step-by-step explanation:
Assume the average child weighs 40 pounds at age 3. Assume the
average child weighs 70 pounds at age 6. What is the average number of
pounds the child gains per year between ages 3 and 6?
Answer:
10 i think
Step-by-step explanation:
Answer: 10 pounds per year
The given unit rate is 30 pounds every 3 years.
Now, we will divide 30 pounds by 3 years.
30 pounds ÷ 3 years = 10 pounds per year
The answer is 10 pounds per year.
graph the line with the equation y= 1/2x -1
Answer:
Start at the y-intercept, (0,-1). Next, go up one and to the right 2, plot a point. Keep going up one and to the right 2 until you reach the end of the graph. Next, go back to your y-intercept. Go down one and to the left 2. Keep going down and to the left until you reach the end of the graph. Connect all points.
Step-by-step explanation:
Start at the y-intercept, (0,-1). Next, go up one and to the right 2, plot a point. Keep going up one and to the right 2 until you reach the end of the graph. Next, go back to your y-intercept. Go down one and to the left 2. Keep going down and to the left until you reach the end of the graph. Connect all points.
The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
The coordinates that we can plot on the graph are:
(1, -1/2), (2, 0), (3, 1/2), and (4, 1)
The graph is given below
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The equation of a line y = (1/2)x - 1
We will find some coordinates from the equation.
When x = 1,
y = 1/2 - 1
y = -1/2
When x = 2,
y = 1/2 x 2 - 1
y = 1 - 1 = 0
When x = 3,
y = 1/2 x 3 - 1
y = 3/2 - 1
y = 1/2
When x = 4.
y = 4/2 - 1
y = 2 - 1
y = 1
The coordinates that we can plot on the graph are:
(1, -1/2), (2, 0), (3, 1/2), and (4, 1)
The graph is given below
Thus,
The coordinates that we can plot on the graph are:
(1, -1/2), (2, 0), (3, 1/2), and (4, 1)
The graph is given below
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Write an equation in point-slope form of the line that passes through the given point and has the given slope. (5,-4); m = -1
Answer:
y + 4 = - (x - 5)
Step-by-step explanation:
The equation of a line in slope- intercept form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = - 1 and (a, b) = (5, - 4) , then
y - (- 4) = - 1 (x - 5) , that is
y + 4 = - (x - 5)
Answer:
[tex]y+4=-(x-5)[/tex]
Step-by-step explanation:
Point-slope form equation is written as:
[tex]y-y_1=m(x-x_1)[/tex]
where m is the slope and [tex](x_1,y_1)[/tex] is the point which the line passes through so to to find the equation of line which passes through the point
(5 , -4) it means the point should satisfy the equation which furthermore means that the point lies on the lie so we can replace y1 with -4 and x1 with 5 and since we have m = -1 we can thus find b and rewrite the equation like this:
[tex]y-y_1=m(x-x1)\\y-(-4)=-1(x-5)\\y+4=-x+5[/tex]
since we need it point-slope form we leave it like this
[tex]y+4=-(x-5)[/tex]
Which relationship is always correct for the angles p, q, and r of triangle ABC?
vo
B
Op+r=9
Op+q + r = 180 degrees
Op+q + r = 90 degrees
Oq+r=p
Answer:
B because the 3 interior angles of any triangle adds up to 180 degrees.
Step-by-step explanation:
Help on this if you can please
Answer:
48'11'' or 587''
Step-by-step explanation:
First convert to inches
5ft= 12 times 5 = 60 then plus 6=66in.= Jen's height
The ratio of the Jen height to Jen's shadow heightis 5'6'' : 9' which is equal to 66in.:108in.
To find the ratio we do 108/66 = 1.636...
Then we do 80' which is equal to 960"
Lastly we do 960/1.636... to get 586.797in for the height of the tree
48'11'' or 587''
WHO IS EARNING POINTTTSSS?!!!! ♡ ( who is smart )
Answer:
Step-by-step explanation:
yup its b i checked
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
1/10 10% of 1
Step-by-step explanation:
3/4 0.75
0.2 20% of 1
15/10 150% of 1
14/10 1.4
Fraction: 1/10, 3/4, 3/2, 4/5
Decimal: 0.75, 0.2, 1.4
Percentage: 10%, 20%, 150%
(The answer is in the same order as the column, I did not include the boxes that were already filled in)
Kendra and Dalisay practice archery, Kendra hits the target 3 times for
every 5 misses Dalisay hits the target 5 times for every 7 misses.
Who hits the target more?
Answer:
Dalisay
Step-by-step explanation:
3/5=0.6 (Kendra)
5/7≈ 0.75 (Dalisay)
5/7>3/5, so Dalisay hits the target more.
The probability of Dalisay hitting the target is more.
What is probability?Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.
According to the given problem,
Kendra hits target 3 times for 5 misses
Probability = [tex]\frac{3}{5}[/tex]
= 0.6
Dalisay hits target 5 times for every 7 misses
Probability = [tex]\frac{5}{7}[/tex]
= 0.71
Hence, we can conclude that Dalisay hits the target more.
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on the occasion of New year a super market announces a discount of 20
percent on every item. if they labeled price of an article is rs 840 how much should a customer pay for it
Step - 1: Calculate 20% of 840.
[tex]840 \times \frac {20}{100} = 168[/tex]
Step - 2: Subtract from 840.
[tex]840-168=672 [/tex]
The highest point in the mountains of Seattle is 5,833 meters above sea level. The lowest point in the valley is 57 meters below sea level. What is the difference between the highest and lowest point?
Answer: 5890 meters
Step-by-step explanation:
Given: The highest point in the mountains of Seattle is 5,833 meters above sea level.
The lowest point in the valley is 57 meters below sea level.
in integers it is represented by -57 meters. [we use negative integer to represents "below"]
Difference between the highest and lowest point = Highest point - lowest point
= 5,833 meters -(-57) meters
= (5833 + 57) meters [a-(-b)= a+b]
= 5890 meters
Hence, the required difference = 5890 meters
I NEED HELP PLS!
Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−1 intersect are the solutions of the equation 4x = 2x−1. (4 points)
Part B: Make tables to find the solution to 4x = 2x−1. Take the integer values of x between −4 and 4. (4 points)
Part C: How can you solve the equation 4x = 2x−1 graphically? (2 points)
(10 points)
Answer:
es a través de los ejes x si lo cuenta, puede ver lo que es en su cuadrícula y encontrará la respuesta exacta
