Answer:
y intercept is 1 1/3
equation is y = -1/6x + 4/3
x coordinate is -70 (-70,13)
Step-by-step explanation:
find M
m = 1 - (-1)/ 2 -1 4
m = -2/12 = -1/6
Find y intercept--Plug m and one point from above into y = mx + b
1 = - 1/6 (2) + b
1 = -2/6 + b
1 2/6 = b
1 1/3 = b
4/3 = b
To find the x coordinate if y is 13
13 = -1/6 x + 4/3
11 2/3 = -1/6 x
-70 = x
The y intercept of line AB = [tex](0,\dfrac{4}{3})[/tex]
The equation of line AB will be
[tex] y=\dfrac{-1}{6}x+\dfrac{4}{3}[/tex]
The x-coordinate of C = 4
Step-by-step explanation:The slope of line AB with coordinates of A and B are (14, -1) and (2, 1)
[tex]m_1=\dfrac{1-(-1)}{2-14}=\dfrac{2}{-12}=\dfrac{1}{-6}[/tex]
The equation of line AB will be
[tex](y-1)=\dfrac{1}{-6}(x-2)\\\\\Rightarrow y=\dfrac{1}{-6}(x-2)+1\\\\\Rightarrow\ y=\dfrac{-1}{6}x+\dfrac{1}{3}+1\\\\\Rightarrow y=\dfrac{-1}{6}x+\dfrac{4}{3}[/tex]
Put x=0, we get the [tex]y=\dfrac{4}{3}[/tex] i.e. [tex](0,\dfrac{4}{3})[/tex] is the y intercept of line AB.
Since, Line AB and Line BC form a right angle at their point of intersection, B. The the product of their slope must be -1.
Therefore, the slope of BC =[tex]m_2=\dfrac{-1}{m_1}=6[/tex]
Let x coordinate of C be a,then the coordinates of C = (a,13)
Now, slope of BC with points B(2,1) and C(a,13) will be
[tex]\dfrac{13-1}{a-2}=6\\\\\Rightarrow\ a-2=\dfrac{12}{6}\\\\\Rightarrow\ a-1=2\\\\\Rightarrow\ a=4[/tex]
Hence, the x-coordinate of C = 4
The formula for the area of a triangle is a=1/2bh. Hiro is solving the equation for h; his work is shown below. What mistake did Hiro make?
a=1/2bh
2(x)a=2(x)(1/2bh)
2a=bh
2a-b=h
(x) is multiplication sign btw
Hiro should have divided both sides of the equation by 2. Hiro should have divided both sides of the equation by b. Hiro should have added b to both sides of the equation. Hiro should have subtracted 2 from both sides of the equation.
Example
If b = 5 and h = 10
a = 1/2 * b * h
a = 1/2 * 5 * 10
a = 25
2a = 2 (1/2 * b * h)
2 * 25 = 2 (1/2 * 5 * 10)
50 = 2 (25)
50 = 50
2a = b * h
2 * 25 = 5 * 10
50 = 50
2a - b = h
2 * 25 - 5 = 10
50 - 5 = 12
45 = 10
This is false.
If Hiro divided both sides by 2 instead:
2a ÷ 2 = b * h ÷ 2
2 * 25 ÷ 2 = 5 * 10 ÷ 2
50 ÷ 2 = 50 ÷ 2
25 = 25
Answer:
Hiro should divide both sides by 2.
Step-by-step explanation:
Find the perimeter of a square that is 3 and 3/4 in on a side.
A) 7 1/2 inches
B) 15 inches
C)12 3/4 inches
D)30 inches
Perimeter is the sum of all four sides.
A square has 4 equal sides, so all the sides of the square are 3 3/4 inches.
Perimeter = 3 3/4 x 4 = 15 inches.
What is the pattern in the values as the exponents increase?
Answer:
"Multiply the previous value by 2"
Step-by-step explanation:
Let's check the first 2 terms for all the answer choices.
1. Add [tex]\frac{1}{16}[/tex] to the previous value:
[tex]\frac{1}{32}+\frac{1}{16}=\frac{3}{32}[/tex]
Doesn't match.
2. Subtract [tex]\frac{1}{16}[/tex] from the previous value:
[tex]\frac{1}{32}-\frac{1}{16}=-\frac{1}{32}[/tex]
Doesn't match.
3. Divide the previous value by 2:
[tex]\frac{\frac{1}{32}}{2}\\=\frac{1}{32}*\frac{1}{2}=\frac{1}{64}[/tex]
Doesn't match.
4. Multiply the previous value by 2:
[tex]\frac{1}{32}*2=\frac{2}{32}=\frac{1}{16}[/tex]
DOES WORK!
Also, doing the same thing with all the other values would give us matching answer. So this choice is right.
B=pw+p, for w. What is the solution for w?
Answer:
B/p -1 =w
Step-by-step explanation:
B=pw+p
Subtract p from each side
B-p=pw+p-p
B-p=pw
Divide each side by p
(B-p) /p = pw/p
(B-p) /p = w
B/p -1 =w
Solve the equation for y. 2x + 5y = 5
Answer:
see explanation
Step-by-step explanation:
given
2x + 5y = 5 ( isolate the term in y by subtracting 2x from both sides )
5y = 5 - 2x ( divide both sides by 5 )
y = [tex]\frac{5-2x}{5}[/tex]
To solve 2x + 5y = 5 for y, subtract 2x from both sides and then divide by 5 to get y = 1 - (2/5)x.
To solve the equation 2x + 5y = 5 for y, we need to isolate y on one side of the equation. Here are the steps to do it:
Subtract 2x from both sides of the equation to get 5y = 5 - 2x.Divide both sides of the equation by 5 to solve for y, which gives us y = (5 - 2x) / 5.Therefore, the solution for y in terms of x is y = 1 - (2/5)x.
are he two expression equivalent if x=5. 7x+3x. 9x+5
Answer:
yes, the two expressions are equivalent when x = 5
Step-by-step explanation:
7(5)=35
3(5)=15
35+15=50
9(5)=45
45+5=50
Answer:
Yes
Steps:
1) plug in 5 into the first equation:
7 • 5 = 35 + (3 • 5)= 35 + 15 = 50
2) plug in 5 into the second equation:
9 • 5 = 45 • 5 = 50
3) Compare:
50 = 50
Make up any division equation thay has a solution of -2
Use a translator or whatever, just don't know how to do it. Will give most helpful answer brainliest, with an explanation and answer.
what is nine thousand one hundred forty five divided by 3
Answer:
3,315 is the answer
Step-by-step explanation:
1) Just divide
9945 ÷ 3 = 3,315
Not hard
But here my answer!
How much money will you have if you started with $1250 and put it in an account that earned 6.7% every year for 14 years?
Answer:
$3098.93
Step-by-step explanation:
We can use the formula for compound growth to solve this. The formula is:
[tex]F=P(1+r)^t[/tex]
Where
F is the future value (the value at end of 14 years, our answer)
P is the initial amount invested ($1250)
r is the interest rate, in decimal (6.7% is 0.067)
t is the time in years (14, in our case)
Plugging in all the information we have:
[tex]F=P(1+r)^t\\F=1250(1+0.067)^14\\F=1250(1.067)^14\\F=3098.93[/tex]
The account will accrue $3098.93 after 14 years.
NEED HELP PLEASE!!!!!
Write an equation for g(u) in terms of u.
-3u + 6 = 18v - 6
Answer:
-1/6 u + 2/3 = v
Step-by-step explanation:
You can solve for v here so that the equation is in terms of u.
-3u + 6 = 18v - 6 Add 6 to both sides
-3u + 12 = 18v Divide everything by 18
-3/18 u + 12/18 = v Simplify fractions
-1/6 u + 2/3 = v
Which expression is equivalent to 7p + 8+ p + 6 - 4p?
A. 2(2p + 7)
B. 2(2p + 1)
C. 2(8p - 5)
D. 4(p +1)
Answer:
the answer is A)
Step-by-step explanation:
combine like terms
4p+14
a=
2x2p+2x7
hope this helps
if M = 1 over 6 find M(-1 over -2) fully reduced
Answer:
[tex]\large\boxed{M\left(\dfrac{-1}{-2}\right)=\dfrac{1}{12}}[/tex]
Step-by-step explanation:
[tex]M=\dfrac{1}{6}\\\\\dfrac{-1}{-2}=\dfrac{1}{2}\qquad\qquad\bigg(\dfrac{negative}{negative}\to positive\bigg)\\\\M\left(\dfrac{-1}{-2}\right)=\dfrac{1}{6}\left(\dfrac{1}{2}\right)=\dfrac{(1)(1)}{(6)(2)}=\dfrac{1}{12}[/tex]
Choose one ?????? Help please
c. y = 6x is answer
Find the value of 4!.
Answer:
24
Step-by-step explanation:
Hello
The concept is factorial number, so:
4! = 4*3*2*1 = 24
Best regards
Answer:
A) 24
Step-by-step explanation:
using n × ( n - 1)×...× 2 × 1
4 × 3 × 2 × 1 = 24
What is 47000000 in scientific notation
Answer:
Step-by-step explanation:
[tex]4.7 * 10^{7}[/tex]
Answer:
4.7 * 10^7
Step-by-step explanation:
Put a decimal at the end.
47 000 000.
Count the places to the left of the decimal.
There are 6 zeros and one more place to get a number between 1 and 10.
1 ≤ x < 10 ( note that 10 is not included).
There are 6 + 1 places to move.
Answer: 4.7 * 10^7
a window in the shape of a parallelogram has the dimensions given
what’s the area of this window
A. 20
B. 24
C. 28
D. 40
The wrong answer is d
1 cm
3 cm
4 cm
8 cm
3 cm
4 cm
8 cm
7 cm
factorize 27x^3-16y^3
Answer:
This expression can not be factored with rational numbers.
The polynomial is not factorable with rational numbers.
Is a centimeter more or less then a meter
Answer:
A meter is 100 times larger than a centimeter
Step-by-step explanation:
A meter is larger than a cm. u can try it on a ruler. look at the cm notice how it is smaller than a meter.
Answer:
It depends.
Step-by-step explanation:
I won't say centimeter is less or more than a meter, because 1 meter is equal to 100 center centimeter. But when you compare different measurement it can, for example:
2 m = 200 cm (Both are same)
3 m > 250 cm (m is greater, actually 3m = 300 cm)
4 m < 450 cm (cm is greater, 4 m = 400 cm)
//Hope it helps.
determine the coefficient of the term “-15x”
-15 because -15x is the variable term
Answer:
Step-by-step explanation:
The "coefficient" of x here is -15.
"determine the coefficient of the term “-15x” " is not a valid question.
a point occupies zero dimensions true or false
Answer: True.
Step-by-step explanation:
In geometry , we have three undefined terms as :
1) point [ no dimension]
2) line [ one dimension]
3) plane [ two dimension]
A point is just a tiny mark on Cartesian plane which has no length like a line , no width and area like a plane or no volume like a three dimensional shape . We can use only its location but cannot measure it.
Hence, it has no dimension.
Hence, the given statement "a point occupies zero dimensions" is a true statement.
Answer:true
Step-by-step explanation:
Tell whether the given ordered pair is a solution of the equation 4y + 2x = 3; (1.5,0)
Answer:
Yes, it is a solution
Step-by-step explanation:
Plug the given (x, y) point of (1.5, 0) into the equation to find out...
4(0) + 2(1.5) = 3
0 + 3 = 3
3 = 3
The given ordered pair (1.5,0) is a solution of the equation 4y + 2x = 3.
What does the solution of an equation mean?The solution of an equation, when substituted makes the left-hand side equal to the right-hand side. It is the value for which the LHS = RHS.
We can determine whether the ordered pair is a solution as shown below:The equation is 4y + 2x = 3.
The given ordered pair is (x,y) = (1.5,0). Now substitute the values of x and y.
4y + 2x = 3
⇒ 4(0) + 2(1.5) = 3
⇒ 0 + 3 = 3
⇒ 3 = 3
Therefore, we have determined that the given ordered pair (1.5,0) is a solution of the equation 4y + 2x = 3.
Learn more about the solution of an equation here: https://brainly.com/question/25678139
#SPJ2
Find the sum of the even numbers shown below. 2+4+6+8+...+66+68+70
The sum its +2
2+2=4
4+2=6
6+2=8
8+2=10
And so on the numbers just keep sum for 2
Final answer:
To find the sum of even numbers from 2 to 70, we use the arithmetic sequence sum formula, resulting in a total sum of 1260.
Explanation:
The student's question is asking to find the sum of even numbers from 2 to 70. To do this, we can recognize that this is an arithmetic sequence, where the first term (a1) is 2, the last term (an) is 70, and the common difference (d) is 2, as we are stepping through even numbers only. This sequence has (70/2) terms, which gives us 35 terms.
The sum of an arithmetic sequence is given by the formula S = n/2 (a1 + an), where S is the sum, n is the number of terms, a1 is the first term, and an is the last term. By applying this formula, we can calculate the sum as follows: S = 35/2 (2 + 70) = 35 (72/2) = 35 (36) = 1260.
Therefore, the sum of the even numbers from 2 to 70 is 1260.
is my answer correct?
Answer:
It would be the first.
Step-by-step explanation:
a1 = -1
a2 = -1 + 0.5 = -0.5
a3 = -0.5 + 0.5 = 0
etc.
I DON'T understand
Answer:
f(g(x)) = 72x^2+1
Step-by-step explanation:
f(x) = 2x^2 +1
g(x) = -6x
f°g(x) means f(g(x))
Take g(x) and substitute it in for x in f(x)
f(g(x)) = 2(g(x))^2 +1
=2(-6x)^2 +1
=2(36x^2) +1
=72x^2 +1
The graph of g(x), shown below,is a vertical shift of the graph f(x)=3^x write the equation for g(x)
Answer: OPTION D
Step-by-step explanation:
By definition, an exponential parent function (The simplest forn of an exponentil function) has the following form:
[tex]f(x)=b^x[/tex]
When an exponential function has the form [tex]f(x)=b^x+k[/tex], means that this is shifted k units up.
Therefore, keeping the above on mind, you can conclude that the equation of the function g(x) is the shown below:
[tex]g(x)=3^x+1[/tex]
Answer:
D
Step-by-step explanation:
Answer this for a million Points!
Answer:
1, 2, 3
Step-by-step explanation:
Half of 2 is 1.
Half of 4 is 2.
Half of 6 is 3.
Answer:
x y
2 1
4 2
6 3
Step-by-step explanation:
y is one half as much as x
so y = 1/2 x
when x = 2; y = 1/2 (2) = 1
when x = 4 ; y = 1/2 (4) = 2
when x = 6; y = 1/2 (6) = 3
Help Me ASAP
A builder is buying property to buy new houses. The sizes of the lots are 1/6,1/2,1/3,1/2,1/6,1/2,1/2,1/3,1/6,1/2,1/6,1/2,1/6,1/6,and 1/3 acre. Organize the information in a line plot
What is the average size of the lots?
______acre
i know how to do a line plot just can't figure the answer out.
Final answer:
To find the average size of the lots provided, organize the information in a line plot and calculate the average by summing the areas of the lots and dividing by the total number of lots.
Explanation:
Line Plot:
Average Size of Lots:
1/6 acre (3 lots)
1/2 acre (6 lots)
1/3 acre (3 lots)
To find the average size, add the areas of all lots and divide by the total number of lots. In this case, the average size of the lots would be 17/36 acre.
3.Find the length of the missing side the triangle is not drawn to scale 37 and 35
The length of the missing side is 12.
The length of the missing side of the triangle can be calculated using pythagoras rule ;
Adjacent² = hypotenus² - opposite²
Substituting our values ;
a² = 37² - 35²
a² = 1369 - 1225
a² = 144
Take the square root of both sides ;
a = √144
a = 12
Hence, the length of the missing side is 12.
Basd on the right-angled triangle, the length of the missing side is equal to 12 units.
In Mathematics and Euclidean Geometry, Pythagorean theorem can be represented by the following mathematical equation (formula):
[tex]z^2=x^2 + y^2[/tex]
Where:
x is the opposite side of a right-angled triangle.
y is the adjacent side of a right-angled triangle.
z is the hypotenuse of a right-angled triangle.
Note: Let the variable "x" represent the missing side length.
In order to determine the missing side length, we would have to apply Pythagorean's theorem as follows;
[tex]37^2=x^{2} +35^2\\\\x^2=37^2-35^2\\\\x^{2} =1369-1225\\\\x^{2} =144\\\\x=\sqrt{144}[/tex]
x = 12 units.