Answer:
x - y = 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
x + y = - 5 ( subtract x from both sides )
y = - x - 5 ← in slope- intercept form
with slope m = - 1
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-1}[/tex] = 1 , thus
y = x + c ← is the partial equation
To find c substitute (7, 3) into the partial equation
3 = 7 + c ⇒ c = 3 - 7 = - 4
y = x - 4 ← equation in slope- intercept form
subtract y from both sides
0 = x - y - 4 ( add 4 to both sides )
4 = x - y , that is
x - y = 4 ← equation in standard form
2x + 5(y - 1) when x=8 and y=5
Answer:
Your answer would be 36
Step-by-step explanation:
First you start off by rewriting the equation to make it simpler for you to understand all of the steps.
2x + 5(y-1)Then you plug in your given values. (x = 8 and y = 5)
2(8) + 5(5-1)After you plug in your given values you solve all your parenthesis (aka using the Distributive Property of Equations to simplify your equation.)
16 + 20After that, you have basic math
16 + 20 = 36And now your answer is 36.
I hope this helps you :)
The solution of the expression 2x + 5(y - 1) when x=8 and y=5 is 36
From the question, we are to evaluate 2x + 5(y - 1) when x=8 and y=5
To do this, we will put the given respective values of x and y into the expression 2x + 5(y - 1)
That is,
2x + 5(y - 1) becomes
2x + 5(y - 1) = 2(8) + 5(5-1)
= 16 + 5(4)
= 16 + 20
= 36
Hence, the solution of the expression 2x + 5(y - 1) when x=8 and y=5 is 36
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Identify which shapes on the graph are congruent to shape I by performing these sequences of transformations on shape I:
a 90° clockwise rotation about the origin and then a reflection across the x-axis
• a 90° counterclockwise rotation about the origin and then a reflection across the x-axis
• a 180° rotation about the origin and then a translation right 4 units
The shapes on the graph that are congruent to shape I by performing these sequences of transformations are as detailed below
How to Identify the Congruent Shapes?We are told that the transformations are;
a 90° clockwise rotation about the origin and then a reflection across the x-axis;
a 90° counterclockwise rotation about the origin and then a reflection across the x-axis;
a 180° rotation about the origin and then a translation right 4 units;
Now, looking at shape I;
a 90° clockwise rotation about the origin and then a reflection across the x-axis will give us the third shape at the bottom.
A 90° counterclockwise rotation about the origin and then a reflection across the x-axis; will give us the first shape at the bottom.
A 180° rotation about the origin and then a translation right 4 units will give us the last shape on the right top.
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how do I do this ??
Answer:
If I'm not mistaking, they want you to find the number in the middle that's between X and Z.
That number would be 3.
Hope this helps a bit! :)
Answer:
y would be at 3
Step-by-step explanation:
How much space is in between x and z?: 8 - -2 = 8 + 2 = 10The midpoint of 10 is 5: -2 + 5 = 3I hope this helps!
Pls answer this and thank you
Which is the slope of the line that passes through the points (4,2) and (6,7)? Please help ^^
Answer:
The answer is 5/2
Step-by-step explanation:
The answer would be 5/2.
Subtract the y's:
7 - 2 = 5
Subtract the x's
(Same order aha-)
6 - 4 = 2
slope:
5/2
Using the image below, determine the area of the green shaded region. The rectangle
has side lengths of 12 and 8.
12
13
Answer:
Option (3)
Step-by-step explanation:
From the picture attached,
Area of the green shaded region = Area of triangle ADC + Area of triangle ABE
Area of triangle ADC = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(AD)(DC)[/tex]
= [tex]\frac{1}{2}(12)(8)[/tex]
= 48 square units
Area of triangle ABE = [tex]\frac{1}{2}(AB)(BE)[/tex]
= [tex]\frac{1}{2}(12)(8-3)[/tex]
= 30 square units
Area of green shaded region = 48 + 30 = 78 square units
Option (3) will be the answer.
-2(x + 3)
Simplify expression
Answer:
I'm pretty sure the answer is -2x -6
If 8+x* = 57, then x = ?
Answer: 49
Step-by-step explanation:
if you subtract 8 from 57 you’ll get 49, and 49 +8= 57
two prime numbers that have a sum of 34
Answer:
example: 23 and 11
This is an example. If you add 23 and 11; it makes 34.
Hope this helps!
Please help. AB ___ BC Choose the relationship symbol that makes the statement true. see the picture below.
Answer:
You have the correct answer I believe. AB > BC
Step-by-step explanation:
A line passes through the points A(n,4) and B(6,8) and is parallel to y=2x-5. What is the value of n?
(4,6),(5,3),(7,2),(9,3)
The value of n is 4 if the line passes through the points A(n,4) and B(6,8) and is parallel to y=2x-5.
What is a straight line?A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
It is given that:
A line passes through points A(n,4) and B(6,8) and is parallel to y=2x-5.
The slope of the line which passes through points A(n,4) and B(6,8)
[tex]\rm m =\dfrac{8-4}{6-n}[/tex]
m = 4/(6 - n)
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
The slope of the line y = 2x - 5
M = 2
The lines are parallel which means the slope of the lines will be equal
m = M
4/(6 - n) = 2
2 = 6 - n
n = 4
Thus, the value of n is 4 if the line passes through the points A(n,4) and B(6,8) and is parallel to y=2x-5.
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two straight lengths of wire are places on to the ground, forming vertical angles. if measure of one of the angles formed is 72 degrees, what are the measures of the other three angles? explain your answer
Answer: 75 x 6+ b = x
Step-by-step explanation:
Answer:
well if 32+32= 412 then 412+8=420
Step-by-step explanation:
well 32+32=64
64+32=96
96-8=88
88+100=188
188+100=288
288+100=388
now this is where it get very important
388+32=420
see how it all adds up and ends with a 32 being added its because
420 = whatcha smokin?
your welcome class
1. Mayra drives 62.5 miles in one hour. How
many miles could she drive in 3.5 hours?
B.228.75 miles
C. 235.0 miles
D 2150 miles
Answer:
its 218.75
Step-by-step explanation:
Answer:
step-by-step explanations:
Find the difference
9/10-1/2
Answer:
1 2/5
Step-by-step explanation:
Apply the fractions formula for addition,and solve
Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF(28,20) = 4
Convert to a mixed number using
long division for 7 ÷ 5 = 1R2,
Therefore:
9/10+1/2=1 2/5
(>'-'<)
I need help with this! :) 1-5(-7x+5)<-5x+5-4
Solution: x<5/8
decimal:x<0.625
interval notation:-∞,5/8
Step-by-step explanation:
add/subtract the numbers : 5-4=1
expand 1-5(7x+5):35x-24
add 24 to both sides
35-24+24<-5x+1+24
simplify
35x<-5x+25
add 5x to both sides
35x+5x <-5x+25x+5x
simplify
40x/40 <25/40
simplify
x<5/8
Find the difference
5/8-1/4
Answer:
[tex]\frac{3}{8}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4} = \frac{2}{8}[/tex] Plug 2/8 in: [tex]\frac{5}{8} - \frac{2}{8}[/tex] [tex]\frac{5}{8} - \frac{2}{8} = \frac{3}{8}[/tex]I hope this helps!
Answer:
12
−−
32
Step-by-step explanation:
multiply 5 by 4, and get 20.
Then we multiply 1 by 8, and get 8.
8 × 4 = 32 that give the terms new denominators
20 32
−− −−
8 32
then since the denominators match subtract the numerators
20 − 8 = 12
so the answer is
12
−−
32
I hope this helps you out
Translate this sentence into an equation.
63 is the sum of 10 and Malik's height.
Use the variable m to represent Malik's height.
Graph the solution to the system of inequalities.
Y< -3/2x +2
Y is greater than it equal too 1/2x-2
Answer:
Look at the graph
It is a Saturday morning, and Jeremy has discovered he has a leak coming from the water
heater in his attic. Since plumbers charge extra to come out on weekends. Jeremy is
planning to use buckets to catch the dripping water. Ile places a bucket under the drip and
steps outside to walk the dog. In half an hour, the bucket is 1/5 of the way full.
Answer:
He will need 9.6 buckets per day. If that was the question...
Step-by-step explanation:
If it takes half an hour for it to fill up 1/5 of the way, then in an hour it will have filled up 2/5 of the way.
2/5 x 24 = 9 3/5 or 9.6
what is 2 1/4 +3 1/4
Answer: 5 2/4
Step-by-step explanation: you do not add the bottom numbers. You add 2+3=5 and then you add 1+1 that is 5 2/4
Answer:
5 1/2
Step-by-step explanation:
You have a common denominator so just add the fractions together. Then,add you whole numbers.
I have ADHD and cannot focus on this question, please help me
Pavan is on his high school bowling team and scores an average number of 135 pins per game. During the course of a match, he bowls 146 in the first game and 135 in the second game. In his third game, he bowled 8 less pins than in his forth game.
a.) Let p be the score Pavan scored in his forth game. Set up an equation that models this equation.
b.) What were Pavan's score in the third and forth game?
9514 1404 393, H76, 5668 8637 469
Answer:
a) (146 +135 +(p-8) +p)/4 = 135
b) 3rd game: 125.5; 4th game: 133.5
Step-by-step explanation:
The average score is the sum of scores divided by the number of games.
We are told the 4th game score is p, and the third game score is p-8. So, the scores in the four games are ...
146, 135, p-8, p
__
a) Their average is 135, so we have ...
(146 +135 +(p-8) +p)/4 = 135 . . game average
__
b) Solving the equation, we get ...
273 +2p = 540 . . . . . . . . . . . . . multiply by 4, collect terms
2p = 267 . . . . . . . . . . . . . . . . . . subtract 273
p = 133.5 . . . . . . divide by 2
Then the third game score is p-8 = 133.5-8 = 125.5, and the fourth game score is 133.5
Pavan's scores in the 3rd and 4th games were 125.5 and 133.5, respectively.
_____
Comment on the question
Of course, these scores make no sense as bowling scores.
6/7 oz converted to pounds
Answer:
.0536lb
Step-by-step explanation:
you can literally look this up on google
PLEASE HELP ME I WILL MARK YOU SOME EXTRA POINTS OR SOMETHING!!!
Answer:
AD = 11
Step-by-step explanation:
BC = 3
BD = 8
CD = 8 - 3 = 5
B is the midpoint of AC
AC = 3 x 2 = 6
AD = 6 + 5 = 11
AD = 11
Please let me know if I'm wrong :)
Answer:
AD=11
Step-by-step explanation:
I if the no of Girates at congtin were reduced by 63% what would be the approximate ratio of giraffes to animals in other category be?
Answer:
[tex]Giraffe:Others = 3:7[/tex]
Step-by-step explanation:
See Attachment for complete question
For this question, we only need the data at the Congtin column.
So, we have:
[tex]Giraffes = 124[/tex]
[tex]Other = 108[/tex]
First, we need to reduce Giraffe by 63%.
This gives:
[tex]New\ Giraffe = Giraffe - 63\% * Giraffe[/tex]
[tex]New\ Giraffe = 124 - 63\% * 124[/tex]
[tex]New\ Giraffe = 124 - 78.12[/tex]
[tex]New\ Giraffe = 45.88[/tex]
Represent this as a ratio:
[tex]Giraffe:Others = 45.88:108[/tex]
The closest to this ratio is 3:7.
This is shown by dividing the ratio by 15
i.e.
[tex]Giraffe:Others = 45.88/15:108/15[/tex]
[tex]Giraffe:Others = 3.0589:7.2[/tex]
Approximate:
[tex]Giraffe:Others = 3:7[/tex]
samamtha’s savings account paid 2.5% intrest per month. what is 2.5% in a fraction
You are buying fruit to make fruit baskets. Apples come in bags of 20. Oranges come in bags of 16, and bananas come in bags of 32.
1) You have one bag of each fruit. Each fruit basket must be identical.
a) What is the greatest number of fruit baskets that you can make using all of the fruit?
b) How many of each type of fruit are in each fruit basket in part (a)?
2) You decide that not only must the fruit baskets be identical, but each one must have the same numbers of apples, oranges, and bananas.
a) What is the least number of bags of each fruit you need to have the same number of apples, oranges, and bananas?
b) How many of each type of fruit do you have?
c) There must be at least 5 but no more than10 of each type of fruit in each basket. How many different ways can you arrange the fruit baskets when using all of the fruit? Explain your reasoning.
Answer:
1) 3
2) 8
3)
4) 5
5) 20 apples 16 orangs and 31 bananas
6)
Step-by-step explanation:
Select all the true statements given the figure.
A. m∠4 = m∠2
B. m∠4 = m∠1 + m∠2
C. m∠4 = 180 − m∠3
D. m∠4 = m∠1 + m∠2 + m∠3
E. m∠4 = m∠3 + m∠1
The true statement about the given triangle figure is B and C.
What are the properties outer angle of a triangle?The triangle has the following characteristics: All triangles, regardless of kind, have an angle total of 180 degrees. The length of a triangle's two longest sides added together is longer than the third side. Similarly to this, the length of the third side of a triangle third side is shorter than the difference between its two sides.
Given a triangle, where m∠4 is an outer angle. from the properties of the outer angle of the triangle, Each Exterior angle = 180° - Interior angle. This formula can be used if the corresponding interior angle is given. Exterior angle = Sum of Interior opposite angles. The sum of all the exterior angles of a triangle is 360°.
Therefore, only option B and C which is m∠4 = m∠1 + m∠2 and m∠4 = 180 − m∠3 respectively are true statements about the given triangle.
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Find the value of the variable.
X=
Answer:
X=15
Step-by-step explanation:
Since the angles labeled are vertical, they are congruent. Set them equal to each other and then solve for x.
Architects must pass an examination to obtain a license to practice.
False or True
y= 4x - 3
How do I graph this equation?
Answer:
y intercept is -3, go up 4 over 1
Step-by-step explanation: