Answer:
y = 1/2x + 7
Step-by-step explanation:
Parallel lines have the same slope.
Therefore the new equation will have a slope(m) = 1/2
Substitute m = 1/2 and point (-2, 6) into y = mx + b to solve for "b"
y = mx + b
6 = 1/2(-2) + b
6 = -1 + b
7 = b
The new equation: y = mx + b
y = 1/2x + 7
P is the point of intersection of the lines with equations 5x — y = 1 and x + 2y = 9
Write down the coordinates of P.
Answer:
P = (1,4)
Step-by-step explanation:
First turn both equations to slope intercept form (y=mx+b).
5x - y = 1
Subtract 5x on both sides to get -y = -5x + 1, and since we want the y to be positive simply flip all the signs to get
y = 5x - 1.
x + 2y = 9
Subtract x on both sides to get 2y = -x + 9, then divide both sides by 2 to get
y = -1/2x + 9/2.
Now you can graph the two lines and see where they intercept each other. (I graphed them above for you⤴⤴⤴).
Hope this helps :)
14a + 2 =
Please help
Answer: ( 2 x 7 ) a + 2
Step-by-step explanation:
3. Each beam of sunlight (a, b, or c above) delivers 1300 joules of energy per second (i.e. 1300 watts) overains
of the upper atmosphere, perpendicular to the direction of the beam (ie. the beam hits a flat surface. Sveta
sunlight spreads out when it hits the Earth, use your answers from 2 above to calculate the amount of enerosta
(c)
actually delivered per 100 m of surface in each of sunlight beams a, b, and c.
Answer:
i believe the answer is 13 ?
Step-by-step explanation:
1300 divided by 100 is 13 im not sure if this is right tho sry if im wrong.
What is the area of a semicircle with a diameter of 8 feet? Estimate using 3.14 for TT
A) 25.12 ft ²
B) 50.24 ft²
C)200.96 ft ²
D) 100.48 Ft²
Step-by-step explanation:
So r = D ÷ 2
Since the area of a circle = πr²
then the area of a semi-circle = (¹/₂π (¹/₂D)²)
Area of a semicircle given the diameter = (¹/₂π (¹/₂D)²)
= (¹/₂(3.14) (¹/₂ 8ft)²)
= 25.12 ft²
Which of the following is not true about a square?
Answer:
All its sides are of equal lengths.
and
It has opposite parallel sides.
Step-by-step explanation:
simpify 5 cubed to the power of 6
[tex]5 cubed to the power of 6[/tex]
[tex]\displaystyle (5^3)^6 = 5^{(3 \times 6)} = 5^{18}[/tex]
On a coordinate plane,△FGH is formed with the vertices at point F(0,−2), point G(1,0) , and point H(2,−3) . Which expression can be used to determine the perimeter, in units, of△FGH ?
A
(0−1)2+(−2−0)2−−−−−−−−−−−−−−−−√+(1−2)2+(0−(−3))2−−−−−−−−−−−−−−−−−−√+(2−0)2+(−3−(−2))2−−−−−−−−−−−−−−−−−−−√
B
(0−(−2))2+(1−0)2−−−−−−−−−−−−−−−−−−√+(1−0)2+(2−(−3))2−−−−−−−−−−−−−−−−−−√+(2−(−3))2+(0−(−2))2−−−−−−−−−−−−−−−−−−−−−√
C
(0+1)2−(−2+0)2−−−−−−−−−−−−−−−−√−(1+2)2−(0+(−3))2−−−−−−−−−−−−−−−−−−√−(2+0)2−(−3+(−2))2−−−−−−−−−−−−−−−−−−−√
D
(0+(−2))2−(1+0)2−−−−−−−−−−−−−−−−−−√+(1+0)2−(2+(−3))2−−−−−−−−−−−−−−−−−−√+(2+(−3))2−(0+(−2))2−−−−−−−−−−−−−−−−−−−−−√
Answer:
the answer i think is B
Step-by-step explanation:
Answer: B
Step-by-step explanation:
the sum of 2 numbers is 99 and their quotient is 8What are the 2 numbers
Answer:
11 and 88
Step-by-step explanation:
I just set up a system of equations:
x + y = 99,
x/y = 8
I decided to use the method of substitution which is expressing one variable in terms of the other and substituting it into the other equation.
To use substitution, I changed the second equation to:
x = 8y
And then, I substituted that value for x into the first equation:
8y + y = 99
And that means:
9y = 99
Hence, y = 11. To find the second number, just substitute 11 for y in the first equation to get:
x + 11 = 99
And that means x = 88.
Determine if the table represents a linear function, quadratic function, or exponential function.
Answer:
please no of one is not function so sorry
Help me with this question.
Answer:
The equation for the nth term of the arithmetic sequence is:
[tex]a_{n} = a + (n-1)d\\[/tex]
The [tex]a_{30}[/tex] is 140
Step-by-step explanation:
"a" represents the first term which is -5.
"d" represents the common difference which is 5.
To find the common difference, just subtract the 2nd and 1st term.
0 - (-5) = 5
Now put the values in the equation:
[tex]a_{n} = a + (n - 1)d\\a_{n} = (-5) + (n - 1)5[/tex]
We are finding the 30th term so just put 30 to the "n" to help us find the 30th term of the sequence.
[tex]a_{30} = -5 + (30-1)5\\a_{30} = -5 + (29)5\\a_{30} = -5 + 145\\a_{30} = 140[/tex]
So the 30th term is 140
The price of oranges is proportional to the number of oranges if
One orange costs 1200 Rs. Find:
A. The price of 12 oranges.
B. The amount of oranges that cost 32,000 Rs.
#1
Cost of 1orange=1200
Cost of 12 oranges:-
[tex]\\ \sf\longmapsto 1200(12)=14400[/tex]
#2
Total cost=32000Cost of one orange=1200Total oranges
[tex]\\ \sf\longmapsto 32000\div 1200[/tex]
[tex]\\ \sf\longmapsto 2666.6[/tex]
[tex]\\ \sf\longmapsto 2667[/tex]
what is the answer need help
Answer:
2
Step-by-step explanation:
x + 2y = 14
2y = -x + 14
y = -1/2 x + 7
m = -1/2
product of slopes is -1
so perpendicular slope is 2
A book of 20 stamps costs $10.20. What is the cost of one postage stamp? A stamp costs cents.
Answer:
1 stamp = $0.51
Step-by-step explanation:
20 stamps = $10.20
=> 1 stamp = 10.20/20
=> 1 stamp = $0.51
Hoped this helped.
Not sure how to do this. Help is much appreciated. :D
Answer:
m = √n/3 -k
Step-by-step explanation:
√n = 3(k + m)
=> √n/3 = k + m
∴ m = √n/3 -k
Hope this helps!!
The chess team wants to have practice two different days next week from money through friday. How many schedules can be made?
Answer:
2 schedule
I I think you can go for Tuesday and Friday because Tuesday totally good and Friday is stress-free because the day after is Saturday
I also try to gather the chess team in figure out a way suitable for your practice, maybe some are going to be busy
I need to know the answer to 2 1/3 x 4/5
Answer:
Simplify the expression.
Exact Form:
28/15
Decimal Form:
1.8¯6
Mixed Number Form:
1 13/15
Step-by-step explanation:
Answer:
Step-by-step explanation:
Convert 2 1/3 to improper fraction
[tex]2\dfrac{1}{3}*\dfrac{4}{5}=\dfrac{7}{3}*\dfrac{4}{5}\\\\\\=\dfrac{7*4}{3*5}\\\\\\=\dfrac{28}{15}\\\\= 1\dfrac{13}{15}[/tex]
a square has a shaded part with 7cm and 4cm and 40 cm. workout the percentage of the are inside the square that is shaded
Answer:
68
Step-by-step explanation:
You multipliy 7x4 and you get 28 now you add the 40+28=68.
Modeling Real Life A principal invites 138 students to a reward breakfast. Nine students sit at each table. How many tables are there?
Answer:
16 tables
Step-by-step explanation:
So there are 138 students, and 9 sit at each table. This means you do 138/9, which leaves you with 15.3333. However you cant have .3 of a table so there must be 16 tables!
A study investigated the job satisfaction of teachers allowed to choose supplementary curriculum for their classes versus teachers who were assigned all curricular resources for use in their classes. On average, when surveyed regarding job satisfaction, teachers give a score of 3. 3 out of 5 with a standard deviation of 0. 6. When the authors of the study interviewed 40 teachers who supplemented with their own materials, they found 3. 5 to be the mean. The authors wanted to know if the group of teachers that could choose supplementary curriculum had a higher level of job satisfaction. They used a significance level of 1%. Which of the following statements is valid based on the results of the test? The data shows that teachers allowed to choose supplementary curriculum for classes are more satisfied with their jobs. The data shows that teachers who were assigned all curricular resources for classes are more satisfied with their jobs. The data shows that there is no difference in job satisfaction between the two groups of teachers. The data shows that the authors cannot make a determination either way with this data.
Answer:the data shows that the authors cannot make a determination either way with this data
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
on edge
solving systems of equations in three variables
Answer:
A: (x = 34, y = -27, z = -1)
Step-by-step explanation:
Plug the variables in. It might be tedious, but it guarantees you get it right.
Let's try A first. 2(34) + 2(-27) + 6(-1) = 8. Is this correct? Yes. However, you gotta plug it in for the other three equations. 5(34) + 6(-27) + 5(-1) = 3. Is this correct? Yes again. One last equation. 5(34) + 6(-27) + 3(-1) = 5. That's correct as well. The answer is A.
In case you still weren't sure if the answer was A or not;
B: 2(33) + 2(-26) + 6(0) = 14. Right away we can see that B will be incorrect.
C: 2(35) + 2(-28) + 6(-2) = 2. Again, incorrect.
D: 2(36) + 2(-29) + 6(1) = 20. Incorrect!
A is the correct answer.
1 + tan^2 (π/6) = _______.
A. csc^2 (π/6)
B. sec^2 (π/6)
C. cot^2 (π/6)
D. 1 - tan^2 (π/6)
Answer: B??
Step-by-step explanation:
Correc me if i wrong ovo
Which of the following sets of lengths could form the sides of a triangle? Choose all that
apply.
А
7, 9, 17
B
7, 2,8
C
3, 1,5
D
6, 3,5
E
12, 12, 13
F
3,11,8
Answer:
B, D and E
Step-by-step explanation:
The first triangle inequality theorem states:
the lengths of any two sides of a triangle must add up to more than the length of the third side.
So as long as the sum of the two shortest is greater than the longest side a triangle is possible
А
7 + 9 < 17 NO
B
2 + 7 > 8 YES
C
1 + 3 < 5 NO
D
3 + 5 > 6 YES
E
12 + 12 > 13 YES
F
3 + 8 = 11 NO
Evaluate the Expression for x=5 and y =3 and z = 1/4
Answer:
4
Step-by-step explanation:
We start with this:
[tex]\frac{5x-6y +20z}{4yz}[/tex]
Then we insert the vales of the variables like this:
[tex]\frac{5(5)-6(3) +20(\frac{1}{4} )}{4(3)(\frac{1}{4}) }[/tex]
Next, Simplify:
[tex]\frac{25-18 +5}{3 }[/tex]
[tex]\frac{12}{3 }[/tex]
Simplify further, and we get our answer: 4
Write an equation in slope-intercept form for the line with slope 3 and y-intercept "-7." Then graph the line.
Answer:
The equation of a straight line is always [tex]y=mx+b[/tex], where m is a constant which is the slope and b is a constant which is the y-intercept.
Substitute these values in:
[tex]y=3x-7[/tex]
The graph would look like the image attached.
Which equation represents the sentence?
Six less than a number is half the number.
n−6=n2
n2−6=n
6−n=n2
6−n2=n
Answer:
It is n-6=n/2.
Step-by-step explanation:
I took the quiz.
help asap please needed
Answer:
it should be b
Step-by-step explanation:
if wrog please correct me also can u give me brainlist
Answer:
B
Step-by-step explanation:
63 should be your answer
Would appreciate Brainliest
Find the perimeter. Simplify your answer.
Answer:
20u-26
Step-by-step explanation:
To find the perimeter we have to add up all the sides
9u-6+u-7+9u-6+u-7
Combine light terms and we get
20u-26
Stossel is listening to an audiobook that at normal speed will last 10 hours. Stossel decides listen the audiobook at 2.5 faster. How long will the book be?
Answer:
4 hoursStep-by-step explanation:
Speed and time are inverse functions.
At normal speed the time is 10 hours.
If the speed is 2.5 times faster, then time is 2.5 times less:
10 hours / 2.5 = 4 hoursSpeed is 2.5
Distance is 10
Time
10/2.510/(25/10)100/254hrsHow many pounds are in the truck total........!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!⇒
Answer:
1500-8000
Step-by-step explanation:
It depends what type of truck and what its carrying
I thought of a 2 digit number. The digits of my number are different. The unit digit of my number is the tens digit raised theird power. What is my number?
Answer:
Step-by-step explanation:
I thought of a 2 digit number. The digits of my number are different: [XY]
Then I'm lost. Does "The unit digit of my number is the tens digit raised third power" mean that the X is raised to the third power?:
X^3
But then we need more information. X could be 1, 2,3, or 4. At 5 it becomes a three digit number. All of the other option result in a two digit number with different digits, so all seem possible. I don't know how to answer this without more information.