Answer:
x + y = -13
Step-by-step explanation:
The equation of a line is y=mx+c
Line x+3y-9=0
Let's rearrange.
3y= -x+9
Divide both sides by 3.
3y/3 = -x/3 +9/3
y= -x/3 + 3
The gradient is the coefficient of x which is -1/3.
Therefore, m1 = -1/3
Where m1 is the gradient of the first line.
When two lines are parallel, their gradients are equal.
Therefore m1=m2
Where m2 is the gradient of the second line.
Therefore m2=-1/3
Now, we need to find c.
(2,-5)
Here, x=2, y=-5
y=mx+c
-5 = -1/3(2) + c
-5 = -2/3 + c
-5 + 2/3 = c
This can also be written as...
c = -5 +2/3
The LCM is 3.
The addition will give -13/3.
Now, let's create the equation We have m2 and c.
y = mx + c
y = -1/3(x) + (-13/3)
Take note of the signs, (+), and (-).
y = -x/3 - 13/3
Multiply both sides by 3 to remove the denominators.
(3)y = (3)-x/3 - (3)13/3
y = -x - 13
Or
x + y = -13
I hope you understand. Please give brainliest, thank, and rate 5 stars. thanks.
Find the midpoint of a segment with the given endpoints.
W(22,4), X(15,7) = (
Answer:
Midpoint (wM, xM) = (4, 5)
or
18.5, 15.5
Use long division to determine the decimal equivalent of 8/9
0.3
0.4
0.5
0.8
Answer:
the answer is .8
hope this helps
Which is different?
w is greater than or equal to – 7.
W is no more than 7
w is no less than - 7
w is at least - 7
w is no more than 7 is different
Answer:
W is no more than 7
Step-by-step explanation:
W is greater than or equal to -7 is (W>_-7)
W is no more than 7 is (W<_7)
W is no less than -7 is (W>_7)
W is at least -7 is (W>_7)
Out of all of these, w is no more than 7 is the only different expression
Write this question in expanded notation 32.874 HELP
Answer:
30+2+.8+.07+.004
Step-by-step explanation:
i mathed then i mathed then i ate then i mathed some more
simplify
−2(j^2− k) − 6(j^2 + 3k )
Answer:-8j^2-16k
Step-by-step explanation:
First step:-2j^2-(-2)k=-2j^2+2k
Second step:
-6(j^2+3k) use the formula a(b+c)=ab + ac
a=-6 b=j^2 c=3k
-6j^2+(-6).3k
-6j^2-6.3k=-6j^2-18k because we multiplied 6x3=18
So we gather the whole equation And simplify
-2j^2+2k-6j^2-18k
-2j^2-6j^2 +2k-18k(add like terms)6+2=8
-8j^2+2k-18K (subtract Like terms 18-2=16)
And the answer will give -8j^2-16k
A recipe calls for 1/8 cup of sugar and 3/4 cup of brown sugar. How much total sugar is added to the recipe?
5. Maria walks 12 miles in 3 hours. How many miles does she walk per hour?
A 4mi/hr
B 5 mi/hr
C 6 mi/hr
D 7 mi/hr
Answer:
4miles, because it would just be 12 divided by 3.
Step-by-step explanation:
Bella is preheating her oven before using it to bake. The initial temperature of the
oven is 65° and the temperature will increase at a rate of 10° per minute after being
turned on. What is the temperature of the oven 18 minutes after being turned on?
What is the temperature of the oven t minutes after being turned on?
Answer: 245
Step-by-step explanation:
If you multiply 10 degrees by 18 that gets you 180. Add that to 65 and you get your total.
Answer:
temp after 18 minutes: 245
temp after t minutes: 65+10t
what is the value of 0.75-0.6
Solve the equation for k.
k=5/12
omg please help me
Answer:
k=0.416
Step-by-step explanation:
k=[tex]\frac{5}{12}[/tex] right?
Write each expression using exponents.
1. (-5)(-5)(-5)(-5) =
Answer:
(-5)^4
Step-by-step explanation:
I may be wrong, hopefully this helps you.
Which characteristic of a data set makes a linear regression model unreasonable? a slope close to 0 a correlation coefficient close to 0 a slope close to –1 a correlation coefficient close to –1
Answer:
A correlation coefficient close to zero
Step-by-step explanation:
This makes linear regression unreasonable because the correlation coefficient shows how related the data points are, -1 and 1 being very strong and 0 being uncorrelated. So the line of best fit would not make sense because the data points are random in relation to one another.
Answer: B. A correlation coefficient close to zero
Step-by-step explanation:
what is the difference between points F (2,9) and G (4,14) round to the nearest whole number.
Answer:
3,15
Step-by-step explanation:
took the test boi
Find the LCM of each numbers 3,8,12,15
Answer:
120Step-by-step explanation:
Method 1 ; Using prime factors ;
[tex]3,\:8,\:12,\:15\\\\\mathrm{Prime\:factorization\:of\:}3:\quad 3\\\mathrm{Prime\:factorization\:of\:}8:\quad 2\times\:2\times\:2\\\mathrm{Prime\:factorization\:of\:}12:\quad 2\times\:2\times\:3\\\mathrm{Prime\:factorization\:of\:}15:\quad 3\times\:5\\\\=3\times \:2\times \:2\times \:2\times \:5\\=120[/tex]
Method 2 ; Using Multipliers
[tex]\mathrm{The\:multipliers\:of\:}3\\3,\:6,\:9,\:12,\:15,\:18,\:21,\:24,\:27,\:\\30,\:33,\:36,\:39,\:42,\:45,\:48,\:51,\:\\54,\:57,\:60,\:63,\:66,\:69,\:72,\:75,\:\\78,\:81,\:84,\:87,\:90,\:93,\:96,\:99,\:102,\:105,\:108,\:111\\114,\:117,\:120,\:123,\:126,\:129\\[/tex]
[tex]\mathrm{The\:multipliers\:of\:}8\\\\=8,\:16,\:24,\:32,\:40,\:48,\:56,\:64,\:72,\\\:80,\:88,\:96,\:104,\:112,\:120,\:128,\:136,\:\\144,\:152,\:160,\:168,\:176,\:184[/tex]
[tex]\mathrm{The\:multipliers\:of\:}12\\\\=12,\:24,\:36,\:48,\:60,\:72,\:84,\:96,\:108,\\\:120,\:132,\:144,\:156,\:168,\:180,\:192,\:204,\\\:216,\:228,\:240,\:252,\:264,\:276,\:288,\:\\\\\\\mathrm{The\:multipliers\:of\:}15\\=15,\:30,\:45,\:60,\:75,\:90,\:105,\:120,\\\:135,\:150,\:165,\:180,\:195,\:210,\:225,\\\:240,\:255,\:270,\:285,\:300,\:315,\:330,\:[/tex]
[tex]\mathrm{The\:smallest\:common\:number\:is}\\=120[/tex]
The following figures are not drawn to scale but AB and CD are straight lines. Find x.
Answer:
x=30 because if you look across from x the angle is 30 degrees.
Step-by-step explanation:
What is the sum of the prime factors of the number 330?
Answer:
21
Step-by-step explanation:
prim factors: 2, 3, 5, and 11
The sum of the prime factors of the number 330 is 21.
What is a prime factor?A natural number other than 1 whose only factors are 1 and itself is said to have a prime factor. In actuality, the first few prime numbers are 2, 3, 5, 7, 11, and so forth.
Given:
The number is 330
Factorize the above number,
330 = 1 × 2 × 3 × 5 × 11
Prime factors are = 2, 3, 5, 11
Calculate the sum of the prime factor
2 + 3 + 5 + 11 = 21
Therefore, the sum of the prime factors of the number 330 is 21.
To know more about prime factors:
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I need help with slope
y=mx+b is the equation of a line, m is the slope (the rate of change).
What 878.9-89.51 i need help i dont understand
Answer: 789.39
Step-by-step explanation: Just subtract 89.51 from 878.9.
Mark Brainliest if this helped!
1.1 Which One Doesn’t Belong: Diagrams Explain ur answer and I had to repost this.
Answer:
A.
Step-by-step explanation:
Its a 180 degree angle or straight. The others have a corner.
Sam decided to lose weight and went on a diet. The figure below depicts a graph, showing how his weight changed during the year. Using this graph, answer the following questions:
What was Sam’s weight at the beginning of the year?
Answer:
100kg
Step-by-step explanation:
On the graph 100kg is where the line starts so that his weight when he started. Hope this made sense!
Answer:
100kg
Step-by-step explanation:
because at the start of the diagram it's pointing at 100kg
0.75x+1.5=-3
what’s the answer? tysm for any help! (:
Answer:
x=−6
Step-by-step explanation: Brainliest:)
can someone simplify this for me please
(2x^2+4x+1)+(3x^2+6x+5)
Answer:
5x^2+10x+6
Step-by-step explanation:
add 2x^2 & 3x^2
add 4x and 6x
add 1 and 5
A sequence starts with 2, 7, 12, 17, ... What is the 50th term [p]?
Answer:
247 will be the 50th term
The graph of the function f(x)=x2 will be translated 3 units up and 1 unit left. What is the resulting function g(x)
When a function is translated, it means the function is moved from one point to another.
The resulting function g(x) is: [tex]g(x) = (x + 1)^2 + 3[/tex]
Given that:
[tex]f(x) = x^2[/tex]
When the function is translated 3 units up, the rule is:
[tex](x,y) \to (x,y+3)[/tex]
So, we have:
[tex]f'(x) = x^2 + 3[/tex]
When the function is translated 1 unit left, the rule is:
[tex](x,y) \to (x + 1,y)[/tex]
So, we have:
[tex]g(x) = (x + 1)^2 + 3[/tex]
Hence, the resulting function g(x) is:
[tex]g(x) = (x + 1)^2 + 3[/tex]
See attachment for the graphs of f(x) and g(x)
Read more about translations at:
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Members of the band sold juice and popcorn at a college football game to raise money for an upcoming trip. The band raised $2,000. The amount raised is divided equally among the m members of the band.
Which equation represents the amount, A, each member receives?
Answer: You will need to know how many members there are and then divide 2,000 by the amount of members that will then give u ur answer
Step-by-step explanation:
PLEASE HELP 20 POINTS
.5(4x - 2) - 2(3x + 3) = 9 + 2(x+ 4)
Answer:
[tex]x = -4[/tex]
Step-by-step explanation:
To solve this equation, we need to apply the distributive property, combine like terms, and get x on one side of the equation.
First, let's apply the distributive property to all parts of the equation:
[tex]0.5(4x-2) - 2(3x+3) = 9+2x + 8[/tex]
[tex]2x - 1 - 6x - 6 = 9 + 2x + 8[/tex]
Combine like terms:
[tex]-4x - 7 = 2x + 17[/tex]
Add 4x to both sides:
[tex]-7 = 6x + 17[/tex]
Add -7 to both sides:
[tex]0 = 6x + 24[/tex]
Subtract 24 from both sides:
[tex]6x = -24[/tex]
Divide both sides by 6:
[tex]x = -4[/tex]
Hope this helped!
what is 2/3+1/4 i need help
Answer:
Convert to a decimal by dividing the numerator by the denominator.
0.916...I
Answer:
11/12
Step-by-step explanation:
First you convert both fractions to a common denominator, usually found by multiplying the denominators you have, i.e., 3*4=12. So let's convert to /12:
2/3 = 8/12 (times 4)
1/4 = 3/12 (times 3)
Now you can add them:
8/12 + 3/12 = 11/12
This cannot be simplified, so this is your answer.
3x - 2 = 10
so what do i do to find x
Answer:
x =4
Step-by-step explanation:
3x - 2 = 10
Add 2 to each side
3x -2 + 2 = 10+2
3x =12
Divide by 3
3x/3 =12/3
x =4
Answer:
x=4
Step-by-step explanation:
1) First, add 2 to both sides of the equation. This will give you 3x=12.
2) Divide by the 3 on both sides leaving you x=4.
Hope this helps!
Dont understand this at all, need help.
Answer:
-2
Step-by-step explanation:
The slope (or gradient) is the coefficient for x in a linear equation. It's calculated by the change in y divided by the change in x. In this case, the change in y is -2 and the change in x is 1, therefore the slope is -2/1 which is -2.
7 less than 4 times a number equals 13
Answer:
X = 5
Step-by-step explanation:
4x - 7 = 13
4x = 13 + 7
4x = 20
x = 20 / 4
x = 5
Hope it Helps :) !!
The solution of the given equation will be; X = 5
We know that the equation is defined as an expression that shows the relationship between two or more numbers and variables.
WE are given the statement as;
"7 less than 4 times a number equals 13 "
The equation becomes as;
4x - 7 = 13
Now solving for x;
4x = 13 + 7
4x = 20
Divide;
x = 20 / 4
x = 5
The value of x will be; x = 5
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