Answer:
y=2x+1
Step-by-step explanation:
Hi there!
We are given the slope (m), which is 2, as well as the point (5,11).
We need to find the equation of the line.
There are 3 ways to write the equation of the line, but the most common type is slope-intercept form, or y=mx+b, where m is the slope and b is the y intercept
We're already given the slope (2), so we can substitute it into the equation right away
here's the equation so far:
y=2x+b
now we need to find b.
We can do this by plugging (5,11) into the equation, as the line passes through that point.
Substitute x as 5 and 11 as y
11=2(5)+b
multiply
11=10+b
subtract 10 from both sides
1=b
substitute 1 as b into the equation
y=2x+1
Hope this helps! :)
M and n are both integers. Select all the statements that are true if m and n are also equal to each other.
The question is incomplete. The complete question is :
M and n are both integers. Select all the statements that are true if m and n are also equal to each other.
A. m - n = n - m
B. 0 = m - n
C. m + (-n) = m - n
D. m + n = 0
Answer :
A. m - n = n - m
B. 0 = m - n
C. m + (-n) = m - n
Explanation :
It is given that m and n are integers and they both are equal to each other.
i.e. m = n
Therefore for option (A),
m - n = n - m
m - m = m - m (since m and n are equal)
0 = 0
Therefore, the statement (A) is true.
For option (B),
0 = m - n
0 = m - m (since m and n are equal)
0 = 0
Therefore, the statement (B) is true.
For option (C),
m + (-n) = m - n
m + (-m) = m - m (since m and n are equal)
m - m = m - m
0 = 0
Therefore, the statement (C) is true.
Now for option (D),
m + n = 0
m + m ≠ 0 (since m and n are equal)
2m ≠ 0
Therefore, the statement (D) is false.
Hence, the options (A), (B) and (C) are true.
Given: m∠ELG = 124°
Prove: x = 28
3 lines are shown. A line with points D, L, G intersects a line with points E, L, H at point L. Another line extends from point L to point F between angle E L G. Angle D L E is (2 x) degrees.
Complete the steps in the two-column proof.
♣:
♦:
Answer:
clover
Step-by-step explanation:
because
The measure of angle ∠x = 28°.
We have a geometrical figure [Refer to the image attached in the end].
We have to prove that x = 28°.
What is the measure of a Straight angle.The measure of straight angle is 180°.
According to the question -
Line DLG is a Straight line. Therefore -
2∠x + 124° = 180°
2∠x = 56°
∠x = 28°
Hence Proved.
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I need help with this math question: 15x+ 60 < 240
12
15x + 60 <240
-60
15 veces <180/15
x <12
Step-by-step explanation:
Write as an equation in two variables: k(x) = -4x-1
Answer:
y = -4x - 1
Step-by-step explanation:
k(x) = -4x - 1
replace k(x) with y
y = -4x - 1
Answer:
y = -4x - 1
Step-by-step explanation:
how do you do this?
Answer:
by increasing the size ez
What is the sum of 3/10 and 1/3
Answer:
19/30
Step-by-step explanation:
3/10 + 1/3
Get a common denominator of 30
3/10 * 3/3 + 1/3 * 10/10
9/30 + 10/30
19/30
Answer:
19 / 13
Step-by-step explanation:
➟ 3 / 10 + 1 / 3
➟ 3 / 10 × 3/3 + 1 /3 × 10 /10
➟ 3 × 3 / 10 × 3 + 1 × 10 / 3 × 10
➟ 9 / 30 + 10 / 30
➟ 9 + 10 / 30
➟ 19 / 30
The expression 2x+(x-7)^2 is equivalent to x^2+bx+49 for all values of x.
what is the value of b?
A. 12
B. -12
C. 14
D. -14
The expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].
Then Value of b is - 12.
Option(B) is correct answer.
What is an expression?An expression is a mathematical phrase combining numbers and/or variables using mathematical operations. Both sides of an equation are expressions.
According to the question,
The expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].
[tex]2x+(x-7)^{2}=x^{2} +bx+49[/tex]
⇒ [tex]2x+(x-7)^{2}=x^{2} +bx+49[/tex]
⇒[tex]2x+x^{2} -14x+49=x^{2} +bx+49[/tex]
⇒ [tex]x^{2} -12x+49=x^{2} +bx+49[/tex]
⇒[tex]-12x=bx[/tex]
⇒ [tex]b=-12[/tex]
∴ [tex]b=-12[/tex]
Hence, the expression [tex]2x+(x-7)^2[/tex] is equivalent to [tex]x^2+bx+49[/tex].
Then Value of b is - 12.
Option(B) is correct answer.
Learn more about expression here
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Twins Isaac and Isaiah were just born. Isaac weighs 666 pounds 222 ounces and Isaiah weighs 555 pounds 444 ounces.
How many ounces do Isaac and Isaiah weigh together
What is the area of the sail?
Answer:
I agree other students
Step-by-step explanation:
congrats
The slope of the line through the points is 2. Which statement describes how the slope relates to the height of the water is the pool?
Answer:
The height of the water increases 2 inches per minute. Or A
Step-by-step explanation:
Edge
Answer: A ( The height of the water increases 2 inches per minute)
Peter wallpapered a wall that was 9 feet wide and 8 feet high. He had 27 square feet of wallpaper left over. How many square feet of wallpaper did he start with?
Answer:
99 square feet
Step-by-step explanation:
Because 8 times 9=72+27=99
Please answer the question below
Answer:
320
Step-by-step explanation:
(2 / 50) * 8000 = 320
Answer:
320
Step-by-step explanation:
Another Easy One, 50 points and a brainliest to anyone who gives the best answer.
[tex]5^{-2}=\frac{1}{5²}[/tex]
Answer:
Solutions given:
[tex]5^{-2}=\frac{1}{5²}[/tex]
since
we have rule of indices
[tex]x^{-a}=\frac{1}{x^{a}}[/tex]
Answer: It's 1/25 or 0.04 That's what I got
Step-by-step explanation:
Since 1/5^-2 = 0.04 I think its the first one
Help me now please i want to finish this today so I can finish summer school
same i pass im at like 70% Step-by-step explanation:
identify one solution for this graph
What is the volume of this triangular prism? A triangular prism. The triangular base has a base of 28 centimeters and height of 22.4 centimeters. The height of the prism is 18.1 centimeters. 313.6 506.8 5,676.16 11,352.32
Answer:
The volume of the triangular prism is 5676.16 cm³
Step-by-step explanation:
The area of the triangular base A = bh/2 where b = base = 28 cm and h = height = 22.4 cm.
Now, the volume of the triangular prism, V = area of triangular base, A × height of prism, h'
V = Ah' where h = height of prism = 18.1 cm
So, V = bhh'/2
Substituting the values of the variables into the equation for V, we have
V = bhh'/2
V = 28 cm × 22.4 cm × 18.1 cm/2
V = 14 cm × 22.4 cm × 18.1 cm
V = 5676.16 cm³
So, the volume of the triangular prism is 5676.16 cm³
Answer:
5676.16 cm³
Step-by-step explanation:
The Thomson family spends money each month on the expenses shown.
Drag each expense to show whether it is a fixed expense, a variable expense, or if it is neither of these from month to month.
A right-angled triangle D E F, angle E marked right angle, side E F labeled 7, side D E labeled 24 and hypotenuse D F labeled 25.
Answer:
Ya está resuelto ya
Step-by-step explanation:
A bag contains 8 red balls and 6 blue
balls.
Radhika takes three balls at random
from the bag, without replacement.
Calculate the probability that the three
balls are the same colour. *
Answer:
The probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.
Step-by-step explanation:
Since a bag contains 8 red balls and 6 blue balls, and Radhika takes three balls at random from the bag, without replacement, to calculate the probability that the three balls are the same color, the following mathematical operations must be performed:
8 + 6 = 14
14 = 100
8 = X
8 x 100/14 = X
800/14 = X
57.14 = X
100 - 57.14 = 42.86
0.5714 ^ 3 = X
0.1865 = X
0.4286 ^ 3 = X
0.0787 = X
Therefore, the probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.
Mikey Johnson shipped out 41 1/4 pounds of electrical supplies. The supplies are placed in individual packets that weigh 2 3/4 pounds each . How many packets did he ship out?
Answer:
15
Step-by-step explanation:
Number of packets shipped out = total weight of electrical supplies / weight of individual packets
[tex]41\frac{1}{4}[/tex] ÷[tex]2\frac{3}{4}[/tex]
to solve convert the mixed fractions to an improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
[tex]\frac{165}{4}[/tex] ÷ [tex]\frac{11}{4}[/tex]
[tex]\frac{165}{4}[/tex] × [tex]\frac{4}{11}[/tex] = 15
Frank is making chocolate chip pancakes for his whole family. He wants to make 20 pancakes using a 3-cup bag of chocolate chips. How many cups of chocolate chips will be in each pancake? Write your answer as a proper fraction or mixed number.
im pretty sure that the answer is 6 2/3
 can someone pls help for brainlest
Answer:
[tex]surface \: area = area \: of \: base + area \: of \: the \: 4 \: triangular \: faces \\ = (l \times w) + 8 \times ( \frac{1}{2} \times base \times height) \\ = (4 \times 4) + 8 \times ( \frac{1}{2} \times 2 \times 7) \\ = 16 + 56 \\ = { \boxed{72}} \: square \: millimeters[/tex]
more help srry if its annoying
Answer:
4^5
4 by the power of 5
Step-by-step explanation:
4 times the amount of 4's
4 times 5 does not equal 4^5 and is not the answer
it is 4 by the power of 5
What are the coordinates?
Answer:
J - (0, 4) K - (2, 3) L - (3, 4) M - (4, 1) N - (1, 2)
Step-by-step explanation:
So, the first number, is the value on the x axis, The second number, is the value on the y axis.
So lets look at each point. J is at 0 on the x axis, and 4 on the y axis.
K is at 2 on the x axis, and 3 on the y axis.
L is at 3 on the x axis, and 4 on the y axis.
M is at 4 on the x axis, and 1 on the y axis.
Finally, n is at 1 on the x axis, and 2 on the y axis.
Since we write coordinates as (x, y):
K is (2, 3)
L is (3, 4)
M is (4, 1)
N is (1, 2)
Hope this helps!
Mr. Dominguez wrote the formula below to calculate o, the acceleration of his motor.
V-S
а
t-b
Solve Mr. Dominguez's formula for t, the final time.
Answer:
t = {(v - s) + ab} / a
Step-by-step explanation:
a = (v - s) / (t - b)
Make t the subject of the equation
a = (v - s) / (t - b)
Cross product
a * (t - b) = (v - s)
at - ab = (v - s)
Add ab to both sides
at = (v - s) + ab
t = {(v - s) + ab} / a
For the Transformation T write the T-1
T: (x, y) = (x + 4, y + 3)
Т-1 (x, y) -
(x+3, y + 2)
(x-4, y-3)
(x+, y + 3)
Answer:
(T - 1)(x, y) = (x - 4, y - 3)
Step-by-step explanation:
For a given transformation:
T(x, y) = (x', y')
the inverse transformation is defined by:
(T - 1)(x', y') = (x, y)
So, if our transformation is:
T(x, y) = (x + 4, y + 3)
Then for the inverse transformation, we should have:
(T - 1)(x + 4, y + 3) = (x, y)
So the inverse transformation reduces the x-value by 4, and reduces the y-value by 3.
Writing the inverse transformation for a generic (x, y) point, we get:
(T - 1)(x, y) = (x - 4, y - 3)
Analyze the diagram below and complete the instructions that follow.
3
3
4
45°
h
x
Find the value of x and the value of y.
A X= 4, y = 8
B. x = 7, y = 42
C. x = 413, y = 7/2
D. -73.7=42
Answer:
B) x = 7, y = 4√2
Step-by-step explanation:
Drop a line from the upper left vertex
This creates a rectangle with a bottom side of 3
and an isosceles right triangle with legs of 4
Therefor
x = 4 + 3
x = 7
y = √(4² + 4²)
y = 4√2
The values of x and y from figure are 7 and 4√2 respectively, option B is correct.
When we analyze the diagram, there is a right angle triangle with opposite side of 4 units.
We have to find the values of x and y.
Sine function is a ratio of opposite side and hypotenuse.
sin45=4/y
1/√2 = 4/y
Apply cross multiplication:
y=4√2.
Now let us find the value of x by cosine function.
Cosine is a ratio of adjacent side and hypotenuse.
cos 45 =x/y
1/√2 = x/4√2
Apply cross multiplication:
x=4
Now from diagram x=4+3 =7
Hence, the values of x and y from figure are 7 and 4√2 respectively.
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Find three consecutive odd integers where the sum of the first two numbers multiplied by the last number is 3116.
a. -42, -44, - 46
b. None of these.
c. 37, 39, 41
d. 42, 44, 46
e. 33, 35, 37
6.2x6.2x6.2x6.2=1,477.6336 HOW DOES IT BECOME THAT
Answer:
So, you multiply them.
Step-by-step explanation:
Try it yourself….. Use table multiplication or somthin
Answer:
Well 6.2 x 6.2 is 38.44 and if you do 38.44 x 38.44 it is 1,477.6336
Any help will be greatly appreciated thanks
Answer:
2
Step-by-step explanation:
There are 4 x's at 1 mile so he took 4 1 mile hikes
There are 2 x's at 1 1/4 mile so he took 2 1 1/4 mile hikes
We want to know how many more 1 mile hikes than 1 1/4 mile hikes
4 -2 = 2
