Step-by-step explanation:
For every 4 feet that the ladder rises, the bottom of the ladder should be 1 foot away from the wall. If you are going to climb onto a roof, the ladder should extend 3 feet higher than the roof. Also, the upper and lower sections of an extension ladder should overlap to provide stability
explain the triangle angle sum property
Answer:
The Triangle Sum Theorem states that the three interior angles of any triangle add up to 180 degrees.
Step-by-step explanation:
5. Which of the following linear functions has a graph which passes through points (−5,−2) and (−3,0)?
options:
A. f(x) = x – 3
B. f(x) = x + 3
C. f(x) = –x + 3
D. f(x) = –x – 3
Answer:
[tex]f(x) = x + 3[/tex]
Step-by-step explanation:
Given
Points (−5,−2) and (−3,0)
Required
Find a linear function that passes through the given points
The question implies that we solve for the equation for the line;
First, the slope of the line must be calculated;
This is calculated as thus:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where [tex](x_1,y_1) = (-5,-2)\ and\ (x_2,y_2) = (-3,0)[/tex]
So, [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] becomes
[tex]m = \frac{0 - (-2)}{-3 - (-5)}[/tex]
[tex]m = \frac{0 + 2}{-3 + 5}[/tex]
[tex]m = \frac{2}{2}[/tex]
[tex]m = 1[/tex]
The equation of the line can then be calculated using any of the given points;
Using
[tex]m = \frac{y - y_1}{x - x_1}[/tex]
[tex]Where\ (x_1,y_1) = (-5,-2)\ and\ m =1[/tex]
We have
[tex]1 = \frac{y-(-2)}{x-(-5)}[/tex]
[tex]1 = \frac{y+2}{x+5}[/tex]
Multiply both sides by x + 5
[tex](x+5)*1 = \frac{y+2}{x+5} * (x+5)[/tex]
[tex]x + 5 = y + 2[/tex]
Subtract 2 from both sides
[tex]x + 5 - 2 = y + 2 - 2[/tex]
[tex]x + 3 = y[/tex]
[tex]y = x + 3[/tex]
Replace y with f(x)
[tex]f(x) = x + 3[/tex]
Hence, from the list of given options; Option B is correct
Answer: B. f(x) = x + 3
Step-by-step explanation:
Which number is a solution of the inequality −7x−3.5<−10.5
A. −3
B. −1
C. 1
D. 3
Answer: x > 1
Step-by-step explanation:
A physics test is normally distributed. The class average was 79.3, and the standard deviation was 7.5. What percent of students scored between a 68 and 86.8?
Answer:97.275% or 97.5%
Step-by-step explanation:
i need help please !
Answer:
A. Yes, because it passes the vertical line test.
Step-by-step explanation:
The vertical line test requires you to draw a vertical line through any part of the graph. If the line intersects the graph at only one point, the graph represents a function. This graph passes that test. As for the other answer choices, the "horizontal line test" is not a way to see if a graph represents a function. I hope this helps :))
Answer:
A. Yes, because it passes the vertical line test.
Step-by-step explanation:
The vertical line test states that you can draw a line parallel to the y-axis for any chosen value of x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function. In this case, the line doesn't intersect the graph more than once.
D = -3/2
-D = ?
What does -D equal?
Answer:
Negative
Step-by-step explanation:
D has the exact same value but
this time it the other way so your answer
should be -D = 3/2
Which of these triangle pairs can be mapped to each other using a reflection and a translation?
OL
A
R
K
K
Q
A
P
R
Answer: The first one
Step-by-step explanation:
It is being reflected over the x axis and It is translated
a fireplace contains 54 bricks along its bottom row. if each row above decreases by 3 bricks, what is the function that shows the bricks on the 10th row
Step-by-step explanation:
the fireplace would have 24 bricks on the 10th row
Answer:
27 bricks
Step-by-step explanation:
y= 54- 3(x-1)
y= 57- 3x
is the function, y= number of bricks on the xth row, x= row number above the bottom one
x=10 ⇒ y= 57 - 3*10 ⇒ y= 27 bricks
What are the coordinates of the y-intercept of the equation 5x - 3y = 2?
A:(0, 2/5)
B:(0, 5/3)
C:(0,-2/5)
D:(0,3/5)
E:(0, -2/3)
Answer:
E
Step-by-step explanation:
Solve the following quadratic equation using the quadratic formula.
5x^2– 8x+ 5 = 0
Write the solutions in the following form, where r, s, and tare integers, and the fractions are in simplest form.
R+ si/t, x=r+si/t
Answer:
Either
x = 4+3i /5 or x = 4-3i /5
Step-by-step explanation:
To solve the quadratic equation using the quadratic formula, we will follow the steps below;
write down the quadratic formula;
x = -b±√b² - 4ac /2a
First lets compare the equation 5x² - 8x + 5 = 0 to the standard quadratic equation ax² + bx + c
a = 5 b = -8 and c= 5
we can now proceed to substitute the above value into the quadratic formula and then solve. That is;
x = -b±√b² - 4ac /2a
= -(-8)±√(-8)² - 4(5)(5) /2(5)
= 8 ±√64-100 /10
=8 ±√-36 /10
= 8 ±√36 . √-1 /10 note that √-1 = i
=8±6i /10
=[tex]\frac{8}{10}[/tex] ± [tex]\frac{6 i}{10}[/tex]
=[tex]\frac{4}{5}[/tex] ±[tex]\frac{3i}{5}[/tex]
Either
x = 4+3i /5 or x = 4-3i /5
Answer:
answer in picture
Step-by-step explanation:
Which function has a negative discriminant value? On a coordinate plane, a parabola opens up. It goes through (negative 3, 0), has a vertex at (1, negative 16), and goes through (5, 0). On a coordinate plane, a parabola opens up. It goes through (negative 3, 5), has a vertex at (negative 1.5, 2.75), and goes through (0, 5). On a coordinate plane, a parabola opens down. It goes through (negative 2, 0), has a vertex at (0, 4), and goes through (2, 0). On a coordinate plane, a parabola opens down. It goes through (negative 1, negative 4), has a vertex at (3, 0), and goes through (5, negative 4).
Answer: On a coordinate plane, a parabola opens up. It goes through (negative 3, 5), has a vertex at (negative 1.5, 2.75), and goes through (0, 5).
Step-by-step explanation: this is the one with a negative discriminant value
Answer:
iTS BBBB
Step-by-step explanation:
Just did it.
if F(x)=2x^2-5 and g(x)=3x+3, find (f-g)(x)
A.2x^2-3x-8
B.-x^2-8
C.3x-2x^2-2
D.2x^2-3x-2
Answer:
work is pictured and shown
A taxi service charges a flat fee pen $1.25 and $0.75 per mile. If Henry has $14.00 which of the following shows the number of miles he can afford to ride in the taxi?
Answer:
A. M less than or equal to 17
Step-by-step explanation:
If a patient needs 30 days supply of tablet two tablets four times a day how many tablets with a patient need for discharge
Answer:
Total number of tablets needs to discharge = 240 tables
Step-by-step explanation:
Given:
Number of days tablet need = 30 days
Number of times per days need = 4 times
Number of tablet per time = 2 tablet
Find:
Total number of tablets needs to discharge = ?
Computation:
⇒ Total number of tablets needs to discharge = Number of days tablet need × Number of times per days need × Number of tablet per time
⇒ Total number of tablets needs to discharge = 30 × 4 × 2
⇒ Total number of tablets needs to discharge = 240 tables
Lesson 1 exit ticket Name
Please make a copy and then work on it, thank you!
1, Fill in the chart converting between fractions, decimals and percents.
Fraction mmmmmmmmDecimal mmmmmmmmPercent
⅛ mmmmmmmmmmm0.125mmmmmmmmmm12.5%
1245/1000 mmmmmm1.245 mmmmmmmmmm124.5%
40/100mmmmmmmm.4mmmmmmmmmmmm ⅖ %
I wrote the letter m to seperate nothing other works here.
Show your work here.
8 times .125 = 1 that is 12.5%.
1.245 = 1245/1000 which is 124.5%.
⅖% is 40% which equals 0.4 or 40/100
2. Using the values from the chart in problem 1, list them from least to greatest.
12.5%
⅖%
124.5%
Step-by-step explanation:
To find the answer, you would have to first put 2/5 in a decimal form. 2/5 in decimal form would be 40%. Now, it becomes easier to list the values.
Answer:
12.5%, 40%, 124.5%
I would appreciate if you mark me as branliest!
Is 4.5 + 3.14 rational
Answer:
4.5 + pi (3.14) is a rational because it is a terminating decimal. irrational because it is a non-terminating and non-repeating decimal.
hope this helped!
What is the value of m+(6n-1) when m=3 and n=1?
Answer:
8
Step-by-step explanation:
you do the brackets first so (6n-1) would be 6-1 which equals 5
now we have m=5, m is 3 so 3+5=8
The sum of three numbers is 16. The sum of twice the first number, 5 times the second number, and 6 times the third number is 85. The difference between 4 times the first number and the second number is negative 3. Find the three numbers.
Answer:
1, 7, 8Step-by-step explanation:
x, y, z - numbers to find
The difference between 4 times the first number and the second number is negative 3:
4x - y = -3
- y = -3 - 4x
y = 3 + 4x
The sum of three numbers is 16:
x + y + z = 16
x + 4x + 3 + z = 16
5x + z = 13
z = 13 - 5x
The sum of twice the first number, 5 times the second number, and 6 times the third number is 85:
2x + 5y + 6z = 85
2x + 5(3 + 4x) + 6(13-5x) = 85
2x + 15 + 20x + 78 - 30x = 85
-8x + 93 = 85
-8x = -8
x = 1
y = 3 + 4•1 = 7
z = 13 - 5•1 = 8
Veryfying:
1 + 7 + 8 = 16
2•1 + 5•7 + 6•8 = 2 + 35 + 48 = 85
Evaluate 5 ÷ 4/6 Give your answer as a mixed number in its simplest form.
Answer:
15/2
Step-by-step explanation:
5*6/4=30/4=15/2
Answer: 7 1/2
Step-by-step explanation:
5 ÷ 4/6 = 7.5
7.5 as a mixed number is 7 1/2
7 1/2 simplified is 7 1/2
Karim began his day by drinking 1 cups of milk at breakfast. By the end of the day, he drank a total of 2
1
cups of milk.
3
Which equation and solution correctly represent the amount of milk in cups, m , Karim drank after breakfast?
Answer:
Equation:
21 = 1 + m
Solution:
20 = m
Step-by-step explanation:
What we know:
Karim drank 1 cup of milk at breakfastKarim drank a total of 21 cups of milkm = the amount of milk, in cups, Karim drank after breakfastWe know that Karim drank 21 cups of milk in a day. In an equation, that would look like this:
21 =
What does 21 equal?
The amount of milk Karim drank at breakfast plus the amount of milk Karim drank after breakfast.
21 = milk at breakfast + milk after breakfast
Let's substitute what we know into this equation:
21 = milk at breakfast + milk after breakfast
21 = 1 + m
Now that we have our equation, let's solve.
21 = 1 + m
-1 -1
20 = m
Therefore, Karim drank 20 cups of milk after breakfast.
Need help on this please, a positive answer only :)!
Answer:
all statements are true
Step-by-step explanation:
for A real numbers are all numbers B is all the x values C when f(x)=5 x=-2 D when f(x)=-1 x=-6
Josh has $9.00. Bagels cost $0.70 each and a small container of cream cheese cost $2.50. What is the greatest number of bagels Josh can buy if he buys one small container of cream cheese?
Answer:
Josh's 9.00
Bagel cost 0.70
Ice cream 2.50
9.00–2.50=6.50
6.50
[tex]6.50 \div 0.70 7[/tex]
=10
The box plots show Devonte’s scores in Spanish and in French. Spanish 2 box plots. The number line goes from 50 to 100. For Spanish, the whiskers range from 55 to 95, and the box ranges from 60 to 85. A line divides the box at 70. For French, the whiskers range from 55 to 90, and the box ranges from 65 to 80. A line divides the box at 75. French Devonte inferred that his French scores have less variability than his Spanish scores. Which explains whether Devonte’s inference is correct? Devonte is correct because the range is greater for French. Devonte is correct because the interquartile range is less for French. Devonte is not correct because his highest grade is in Spanish. Devonte is not correct because the interquartile range is less for Spanish.
Answer:it's D i took the test.
Answer:
B
Step-by-step explanation:
i took the test
Help idk how to do it
Answer:
55
Step-by-step explanation:
The base angles of an isosceles triangle have the same measure
3x+40 = x+50
Subtract x from each side
3x+40-x = x+50-x
2x+40 = 50
Subtract 40 from each side
2x+40-40 = 50-40
2x = 10
Divide each side by 2
2x/2 = 10/2
x = 5
We want angle A
3x+40
3*5 +40
15+40
55
Write the set of real numbers x less than 6 in set builder notation
Answer:
{x ∈ R: x<6}
Step-by-step explanation:
Given
x is a real numberx is less than 6Required
Write the set using set builder notation
The very first thing to do is to list out the range of x, using inequalities;
x is less than 6 implies that -infiniti < x < 6
The next step is to translate this to set builder. This is done as follows
x ∈ R - > This means that x is a real number
x < 6 -> where x is less than 6.
Bringing these two together, it gives:
{x ∈ R: x<6}
Hence, the set of real numbers x less than 6 is equivalent to {x ∈ R: x<6} using set builder notation
Solve for g
-6g + 3g + 12 > -18
A.g<2
B.g> 2
C.g<10
D.g> 10
Answer:
g < 10
Step-by-step explanation:
-6g + 3g + 12 > -18
Combine like terms
-3g +12 > -18
Subtract 12 from each side
-3g+12-12 > -18-12
-3g > -30
Divide each side by -3, remembering to flip the inequality
-3g/-3 < -30/-3
g < 10
Which of the following best describes the figure?
Answer:
a concave polygon
Step-by-step explanation:
It's a concave polygon because it has one angle that is more than 180 degrees.(I think at least)
A line passes through the point (–7, 5) and has a slope of One-half. Which is another point that the line passes through?
A. (–13, 9)
B. (–9, 13)
C. (9, 13)
D. (13, 9)
Answer:
C. (9, 13)
Step-by-step explanation:
y = mx + b
y = (1/2)x + b
(-7, 5)
5 = (1/2)*(-7) + b
5 = - 7/2 + b
b = 5+ 7/2 = 10/2 + 7/2 = 17/2
y = (1/2)x + 17/2
C. (9, 13)
13 = (1/2)*9 + 17/2
13 = 26/2
13=13 True
Answer:
It is C (9,13)
Step-by-step explanation:
took the test on edge
Interpret the following table about school dropout at the basic level (5 marks)
Primary. Jhs
Boys. Girls. Total
49. 51. 100%
56. 44. 100%
Answer:
Step-by-step explanation:
Given the following :
- - - Jhs
Basic level - - - - Boys - - - - Girls - - - - Total
Primary - - - - - - - 49 - - - - - - 51 - - - - - - 100%
Jhs - - - - - - - - - - 56 - - - - - - 44. - - - - - - 100%
With the information above,
Primary Dropout percentage:
BOYS : [49 / (49 +51)] × 100.= 49%
GIRLS : [51 / (49 +51)] × 100.= 51%
Jhs: Dropout percentage
BOYS : [56 / ( 56 + 44) × 100 = 56%
GIRLS : [44 / (44 +56)] × 100.= 44%
15
Type the correct answer in each box. Use numerals instead of words.
This system of equations has been placed in a matrix:
y = 650x + 175
y= 25,080 - 120x
Column 1
Column 2
Column 3
Row 1
-1
Row 2
120
Reset
Next
The matrix representation of the system looks:
| -650 0 |
| -1 120 |
To clarify, it seems you have provided a system of equations:
y = 650x + 175
y = 25,080 - 120x
Now, you want to create a matrix representation of this system by filling in the values in the columns and rows.
Column 1: The coefficient of x in the first equation is 650, so we put -650 in Column 1.
Column 2: The coefficient of x in the second equation is -120, so we put -120 in Column 2.
Column 3: There are no constants in front of x in the given system, so we put 0 in Column 3.
Row 1: Since the first equation has a positive coefficient of x, we put -1 in Row 1.
Row 2: The second equation has a negative coefficient of x, so we put 120 in Row 2.
for such more question on matrix
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