The distance from point (15,-21) to the line 5x + 2y = 4 is 27.5 units
Given the coordinate (15, -21) and the line 5x + 2y = 4
In order to get the point on the line 5x + 2y =4, we can a point on the line
Let x = 0
5(0) + 2y = 4
2y = 4
y = 2
The point (0, 2) is on the line.
Find the distance between the point (15, -21) and (0, 2) using the distance formula
[tex]D=\sqrt{(2+21)^2+(0-15)^2} \\D=\sqrt{23^2+15^2}\\D=\sqrt{754}\\D= 27.46units[/tex]
Hence the distance from point (15,-21) to the line 5x + 2y = 4 is 27.5 units
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Help help math please help help help help
Answer:
Answered is x= 55x
Step-by-step explanation:
13x+10 * 12x+20
soln:
or, 13x+12x+10+20
or, 25x+30
:., therefore, x=55x
4. Simplify: -3(2x - 5)-2(4x+3)
A.14x-9
B.-2x+21
C.-14x+9
D.-14x+ 21
Can someone help me ?
A rectangle has a length of 72 cm and a width of 56 cm. A second rectangle has the same area as this one, but its width is 21 cm. What is the length of the second rectangle?
Answer:
192
Step-by-step explanation:
Well if the first rectangle is 72 and 56, then we can find the area of that by multiplying length times width which would be 4032, so that would be the area of the second one. then we divide 4032 by 21, which is 192.
P.S, This is my first question answered, so if im wrong please let me know, thank you!
Answer: 192
Step-by-step explanation:
As given, the other rectangle has the same area as this one, but its width is 21 cm. Hence, the length is 192 cm.
1. Write the equation of a horizontal line that passes through the point (–2, 2). x = –2 y = –2 y = 2 x = 2
Answer:
x = 2
Step-by-step explanation:
The given point is (-2, 2). A horizontal line passing through this point is x = 2.
Write 5 • 5 • 5 • 5 • 5 • 5 • 5 using an exponent.
Answer:
5^6
Step-by-step explanation:
5 was multiplied repeatedly 6 times, so it's 5 to the power of 6
Answer:
5 to the power of 6 or 5^6
Step-by-step explanation:
Study the visual fraction below.
Answer:
The answer would be D
Step-by-step explanation:
5 1/3 ÷ 2/3 = 8
16/3 ÷ 2/3 = 8
16 ÷2 = 8
What the answer is please
Answer:its the first one
Step-by-step explanation:
becuase it tells more explanation if you look at the answer or what im saying is problem to make it more simpler.
Solve for z.
57 = –10z +7
Answer:
z = -5
Step-by-step explanation:
Hi there!
We are given the equation 57 = -10z + 7, and we want to solve for z
In order to solve an equation for a variable, we want to isolate that variable on one side; in other words, we want just z on one side of the equation.
So that means that we'll need to get rid of everything else that's also on the right side. That starts with subtracting 7 from both sides:
57 = -10z + 7
-7 -7
_____________
50 = -10z
Now on the right side, there aren't any other extra terms, but remember: we want just z (also written as 1z, with the coefficient of 1), not z written with a coefficient of -10
If you divide a number by itself, the result is 1. For example. [tex]\frac{3}{3}[/tex]= 1. So in order to get a coefficient of 1, let's divide both sides by -10
[tex]\frac{50}{-10} = \frac{-10z}{-10}[/tex]
Divide, and cancel:
The zeros cancel out, leaving the equation as:
[tex]\frac{5}{-1} = \frac{-1z}{-1}[/tex]
Dividing a number by -1 is pretty much the same as multiplying a number by -1; it simply changes the sign of the number
So 5/-1 will become -5, while -1z/-1 will become 1z, or z
Hence:
-5 = z, or written the other way: z = -5
We found z.
Hope this helps!
Xy3-9xyz2 is my math problem and I need help with the complete breakdown
(x • (y³)) - 32xyz²
Pull out like factors :
xy³ - 9xyz² = xy • (y² - 9z²)
Factoring: y² - 9z²
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A² - AB + BA - B² =
A² - AB + AB - B² =
A² - B²
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 9 is the square of 3
Check : y² is the square of y¹
Check : z² is the square of z¹
Factorization is : (y + 3z) • (y - 3z)
Final result :
xy • (y + 3z) • (y - 3z)
If Clare takes out a mortgage for 22 years at an interest rate of 3% and her monthly repayments are $984, what is the principal loan amount?
Using simple interest, it is found that the principal loan amount was of $156,491.6.
The amount of money after t years in simple interest is modeled by:
[tex]A(t) = A(0)(1 + rt)[/tex]
In which:
A(0) is the initial amount, which is also called principal. r is the interest rate, as a decimal.In this problem, she paid $984 monthly for 22 years, hence:
[tex]t = 22, A(t) = 984(22)(12) = 259776[/tex]
Interest rate of 3%, hence [tex]r = 0.03[/tex]
Then:
[tex]A(t) = A(0)(1 + rt)[/tex]
[tex]259776 = A(0)[1 + 0.03(22)][/tex]
[tex]A(0) = \frac{259776}{1 + 0.03(22)}[/tex]
[tex]A(0) = 156491.6[/tex]
The principal loan amount was of $156,491.6.
A similar problem is given at https://brainly.com/question/13176347
PLS HELP ASAP
x^2 - 4x-1=0
Solve using formula
Answer:
Your answer would be x=2±√5
Step-by-step explanation:
Can someone help? anyone?
Answer:
The right answer is letter C.
Step-by-step explanation:
I hope it's help
have a nice day and night
Solve ^3/x^2-8=2 pls help
Answer:
its the first one
Step-by-step explanation:
From a club with 12 members, how many ways could you choose a committee of 5?
Step-by-step explanation:
that is 12 over 5
12! / (5! × (12-5)!) = 12×11×10×9×8/5×4×3×2 =
= 11×9×8 = 792
Graph the image of this figure after a dilation with a scale factor of 12centered at the origin.
Use the polygon tool to graph the dilated figure.
Answer:
1.(-4,2)
2.(2,4)
3.(-2,8)
Answer:
(1,2) (0,4) (-4,2)
Step-by-step explanation:
took the quiz and got it right.
Which table represents y as a function of x?
X
1
2
0
0
1
2
3
3
X
-1
-1
o
2
1
0
2
3
X
V
1
10
2
3
0
1
2
3
x
V
-1
-1
0
-1
Answer:
reduce
Step-by-step explanation:
become it is un solvef
BRAINLIEST TO CORRECT PLEASE HURRY
Answer:
-32
Step-by-step explanation:
-4/5 divided by 1/3
Please asap
the straight up answer is -12/5
consider the graph of a linear equation. see below , which statement is true?
Answer:
B
Step-by-step explanation:
If you go to -4, 0 the line intersects that point
which histogram helps best predict how much time until the next customer comes into the Clothes Shoppe.
lin ran 4 laps around the track in 5 minutes, if lin ran 21 laps, how long does it take her
Answer:
26 1/4 minutes or 1635 seconds
Step-by-step explanation:
Lin runs 4 laps in 5 minutes. You must turn this into a unit rate. In order to do this, you divide 4 laps by 4 to get 1 lap. To get the equivalent, you also have to divide 5 minutes (300 seconds) by 4. This will get you one lap for every 75 seconds. Because Lin ran 21 laps, see how many times 4 can go into 20 using a remainder if necessary. 4 can go into 21 5 times with a remainder of 1. 4*5=20 5*5=25. Now you add 75 seconds because you have an extra lap.
Tito purchased 11 tickets to a baseball game for $374. about how much did one ticket cost?
Answer:
$34
Step-by-step explanation:
374/11=34
Answer:
One ticket cost $34
Step-by-step explanation:
Tito purchased 11 tickets for $374 so divide $374 by 11 and you get $34
Central/Inscribed angles w work pls i beg last one
=======================================================
Explanation:
Let point A be the center of the circle.
The inscribed angle CED doubles to the central angle CAD due to the inscribed angle theorem.
angle CAD = 2*(angle CED)
angle CAD = 2*(7x+6)
angle CAD = 14x+12
Angle CAD is the same as minor arc CD. These are two different ways to describe the same thing more or less. This is because the central angle subtends or cuts off the minor arc CD.
-----------
The three arc pieces CE, ED and CD all combine to form a 360 degree circle.
(arc CE) + (arc ED) + (arc CD) = 360
(18x+1) + (13x+1) + (14x+12) = 360
(18x+13x+14x) + (1+1+12) = 360
45x+14 = 360
45x = 360-14
45x = 346
x = 346/45
This approximates to roughly x = 7.6889, but I have a feeling your teacher will want the fraction form.
is this the right answer?
Answer:
Yes
Step-by-step explanation:
Area rule is correct
Analyze the table below and complete the instructions that follow.
Blue
Brown
Green
Total
Male
10
B
1
28
Female
D
15
C
26
Total
18
A
4
E
Solve for the variables in the table.
Answer:
C
Step-by-step explanation:
Given the definitions of f(x) and g(x) below, find the value of g(f(-3)). f(x) = 5x + 11 g(x) = x2 + 4x – 11
Answer:
g(f(-3)) = -11
Step-by-step explanation:
First, we evaluate f(-3) and then plug that value into g(x) for x:
f(x) = 5x + 11
f(-3) = 5(-3) + 11 = -15 + 11 = -4
Therefore:
g(f(-3)) = (-4)^2 + 4(-4) - 11 = 16 - 16 - 11 = 0 - 11 = -11
Answer: -11
Step-by-step explanation:
Find the value of g(f(-3)) given the two equations:
f(x) = 5x + 11
g(x) = x² + 4x - 11
Plug -3 into equation f(x).
f(-3) = 5(-3) + 11
Solve for f(x).
-4 = f(-3)
Plug -4 into the equation of g(x).
g(-4) = (-4)² + 4(-4) - 11
Solve for g(x).
g(-4) = (16) + (-16) - 11
g(-4) = -11
The value of g(f(-3)) is -11.
How to determine the domain and range of a continuous graph
Answer:
Step-by-step explanation:
Another way to identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.
Mr. Adam drives a school bus 5 days a week. Each day he travels 48.8 miles. How many miles does he drive per week?
Answer:
358 steps
Step-by-step explanation:
What is the answer to
2 3/8 - 1 5/8 =
Answer:
6/8
Step-by-step explanation:
you have to convert each fraction into an improper. because the denominators are already the same, you dont have to worry. once you have it as an impropper, you can now subtract it. 19/8 - 13/8 = 6/8
reduce if you can
Multiply.
3 1/2 times 2 2/3
Answer:
Step-by-step explanation:
