Answer:
135 lb
Step-by-step explanation:
Turn 60% into a decimal (0.60)
Then multiply 225 by 0.60
225 * 0.60 = 135 lb
A line goes through the points (5, -1) and (7, -5). What is a possible equation to a new line that is perpendicular?
Ok, so you are given an equation in standard form, 5x+4y=2, and a point, (7, 5). You are being asked to write the equation for a line that is parallel to the equation in standard from, and that includes the point (7, 5).
First, let's start by finding the slope of your new line. We know that it needs to have the same slope as 5x+4y=2, because parallel lines have the same slopes. To do that, we need to put the equation into slope-intercept form (y=mx+b), which means we need to isolate the "y."
5x+4y=2
-5x -5x (subtract 5x from both sides to move it to the right side of your equation)
4y = 2 - 5x
/4 /4 /4 (divide all the terms by 4 to get "y" by itself)
y = (1/2) - (5/4)x ... I suggest leaving your slope as a fraction.
Now, we know that our slope, m , is going to be -(5/4).
Next, we are going to use our slope, -(5/4), and point, (7, 5), to find the b-value (y-intercept) of your new line. Let's plug in what we know:
y = 5
m = -(5/4)
x = 7
y=mx+b
5=(-5/4)(7) + b -> I plugged in what we knew for y, m, and x.
5 = -(35/4) + b -> I multiplied the numbers in the numerator (5 x 7) to get 35/4
20/4 = -(35/4) + b -> I converted 5 into a faction with a denominator of 4 by multiplying by (4/4)
+(35/4) +(35/4) -> I add (35/4) to both sides to isolate b
55/4 = b ... or b = 13.74
Answer:
m = -(5/4)
b = 13.75
The equation perpendicular to the line going through the points (5, -1) and (7, -5) is [tex]y=\frac{1}{2} x-\frac{7}{2}[/tex]
The line passes through the points (5, -1) and (7, -5)
That is [tex]x_1=5, y_1=-1, x_2=7, y_2=-5[/tex]
Calculate the slope(m) using the formula below:
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\m=\frac{-5-(-1)}{7-5} \\\\m=\frac{-4}{2}\\\\m=-2[/tex]
The equation of the new line perpendicular to the line above will be given as:
[tex]y-y_1=\frac{-1}{m} (x-x_1)\\\\y-(-1)=\frac{-1}{-2} (x-5)\\\\y+1=\frac{1}{2}(x-5)\\\\y=\frac{1}{2} x-\frac{5}{2} -1\\\\y=\frac{1}{2} x-\frac{7}{2}[/tex]
The equation perpendicular to the line going through the points (5, -1) and (7, -5) is [tex]y=\frac{1}{2} x-\frac{7}{2}[/tex]
Learn more here: https://brainly.com/question/17684243
Help again pls I think it’s D and A or am I wrong some one pls tell me thank you
x-3y=-14
x-y=-2
substution method
Answer:
(4, 6 )
Step-by-step explanation:
x - 3y = - 14 ( add 3y to both sides )
x = - 14 + 3y → (1)
x - y = - 2 → (2)
Substitute x = - 14 + 3y into (2)
- 14 + 3y - y = - 2
- 14 + 2y = - 2 ( add 14 to both sides )
2y = 12 ( divide both sides by 2 )
y = 6
Substitute y = 6 into (1)
x = - 14 + 3(6) = - 14 + 18 = 4
solution is (4, 6 )
Solve for the unknown angle
Answer:
would you mind uploading a pic? I would be glad to help you with this problem!!!!!!!! <3
Step-by-step explanation:
simplify the ratio 4 : 0.5
Answer:
8:1
Step-by-step explanation:
Graph the line with the slope of -4 and passing through ( 3, 5 ).
Answer:
See graph below of the line y - 5 = - 4 (x - 3) OR y = -4 x + 17Step-by-step explanation:
We can write the equation for such a line using the point-slope form [(y - y₁) = m (x - x₁)] where m = - 4 & (x₁ , y₁) = ( 3, 5 ). We can then find the x and y-intercept. The line we draw through these three points will be the line we are trying to find.
Equation of the Line
y - 5 = - 4 (x - 3)
Finding x and y-intercepts
y-intercept is 'c' when the line is in the slope-intercept form (y = mx + c)
since y - 5 = - 4 (x - 3)
y - 5 = -4 x + 12
y = -4 x + 17
∴ point of the y-intercept is (0, 17)
x-intercept occurs when y = 0
y = -4 x + 17
0 = -4 x + 17
-17 = -4x
x = ¹⁷/₄
∴ point of the x-intercept is (¹⁷/₄, 0)
Graph the line
We can now plug in the points and draw the line.
See the example below.
Note: You only need two points to graph the line. I just did a third as a check.
What is slope ? Help me please
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
First, let's pick two points on the line.
I am going to pick (10, 10) and (40, 20) as they are easier to read.
Slope is rise over run, or in other words, change in y over change in x.
Let's do the math:
[tex]\frac{change.in.y}{change.in.x} =\frac{20-10}{40-10} =\frac{10}{30} =\frac{1}{3}[/tex]
So, the slope is [tex]\frac{1}{3}[/tex] which we can also check by looking at the graph, find a point then move up and over three!
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Which compound inequality is represented by the graph?
O x < -4 or x2 3
Ox<-4 and x 2 3
O xs-4 or x <3
O xs-4 and x < 3
If a number is multiplied by 2/5, the product is (great than, less than, or equal to,) the number
Answer:
less than
Step-by-step explanation:
it's a fraction, so it will be a fraction of the original number.
Please man, I need this answer as fast as possible. Thank You!!!!
Answer:
-5f
and
2g
Step-by-step explanation:
What is the equation of the line graphed below? Write your answer in slope-intercept form. (y = mx + b)
Don't forget to simply if you can!
Answer:
y = 2x + 2
Step-by-step explanation:
Slope = (change in y-values)/(change in x-values)
Slope = (-6 - 6)/(-4 - 2)
Slope = -12/-6
Slope = 2
Use the slope = 2 and point (2, 6) and substitute into y = mx + b to solve for b.
y = mx + b
6 = 2(2) + b
6 = 4 + b
b = 2
The equation is y = 2x + 2
When the marked price and selling price after discount are given write the formula to find the rate of discount.
Step-by-step explanation:
marked price = 100%
1% = 100%/100 = marked price / 100
discount = marked price - selling price
discount % = discount / 1% =
= (marked price - selling price) / (marked price)/100 =
= 100×(marked price - selling price) / (marked price)
solve for x
5x - 2 = 6
give your answer as an improper fraction in its simplest form
Answer:
x= 8/5
Step-by-step explanation:
add 2 to both sides
5x=8
divide both sides from 5
x=8/5
4(x+2)-6=x+41 denkleminde x kaçtır?
A)13 B)14 C)-14 D)-13
ACİL LÜ TFEN!!
Answer:
[tex]A)13[/tex]
Step-by-step explanation:
[tex]4(x+2)-6=x+41[/tex]
[tex]→4x + 4 \times 2 - 6 = x + 41[/tex]
[tex]→4x + 8 - 6 = x + 41[/tex]
[tex]→4x + 2 = x + 41[/tex]
[tex]→4x + 2 - x = x + 41 - x[/tex]
[tex]→4x - x + 2 = x - 41 - x[/tex]
[tex]→3x + 2 = x + 41 - x[/tex]
[tex]→3x + 2 = 41[/tex]
[tex]→3x + 2 - 2 = 41 - 2[/tex]
[tex]→3x - 39[/tex]
[tex]→ \frac{3x}{3} = \frac{39}{3} [/tex]
[tex]→x = \frac{39}{3} [/tex]
[tex]→x = 13[/tex]
State if the triangles are similar. If so, how do you know they are similar and complete the similarity
statement
STU ~
Answer:
b. not similar
Step-by-step explanation:
Side SC of the smaller triangle is ...
96 -57 = 39
So, the side lengths of the small triangle, shortest to longest, are ...
39, 40, 44
Side ST of the larger triangle is ...
44 +64 = 108
So, the side lengths of the large triangle, shortest to longest, are ...
96, 96, 108
These lengths do not have the same ratios as the lengths of the sides in the smaller triangle, so the triangles are not similar.
_____
Additional comment
The larger triangle is isosceles. The smaller triangle is not.
4. Given the following equation, find the following: 3x – 2y = 12
A. x-intercept
B. y-intercept
C. Slope
Answer:
[tex] \sqrt[6]{729} [/tex]
6x=42
A: 7
B: 6
C: -7
D: 2
Help
Solve pls brainliest
Answer:
Hi, the answer should be 8.1 dollars
The length of a cell phone is 1.4 inches and the width is 4.6 inches. The company making the cell phone wants to make a new version whose length will be 1.68 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?
Answer:
5.52
Step-by-step explanation:
1.68/1.4=1.2*4.6=5.52
to solve the equation, x+5=12, what property do you use?
Answer: inverse operation, subtraction
Step-by-step explanation: The key insight here is that we want to solve for x , and in doing so, we need to undo any operation being applied to it. Right now, only 5 is being added to it, so to solve for it, we need to do the inverse operation, subtraction
If you mean this: How to solve multiplication property of equality?
Multiplication Property of Equality
For all real numbers a, b, and c: If a = b, then a • c = b • c (or ab = ac).
I hope this is right :)
pls, help! (NO LINKS!)
Thank you!
Answer:
18÷25 =0.72 convert proper fraction to decimal ,divide the numerator by the denominator.
3-0.72=3.72. add this decimal number to the whole number .final answer is 3.72
Use the simple interest formula 1=prt find the amount that needs to be invested at 7%per year for 12 years in order to earn 2500$in interest
what is rt5 x rt3
yeah do that plz
Answer:
3(2r+1)
Step-by-step explanation:
5r+1 is 6
Then you factor out 3 and get 3(2r+1)
rewriting subtraction into addition
-3-6=
Answer: 6+3 = 9
Step-by-step explanation:
-3-6 is equivalent to 6-(-3). Subtracting a negative number is the same as adding a positive number, so 6-(-3) is the same as 6+3. 6+3 = 9.
Q1
Put these decimals in order, least to greatest:
?
0.11 0.3 0.12 0.2
Answer:
0.11<0.12<0.2<0.3
Step-by-step explanation:
Answer:
0.11, 0.12, 0.2, 0.3
Step-by-step explanation:
pls brainliesttt
A right triangle has legs that are 10. 1 inches and 12. 2 inches long. What is the approximate length of the hypotenuse? 6. 8 inches 15. 8 inches 22. 3 inches 125. 5 inches.
Answer:
A^2 + B^2 = C^2 for a right triangle
C^2 = (10.1^2 + 12.2^2)^1/2 = 250.85^1/2 = 15.8 in
A packet of Hobnobs claims to be 24% bigger!!
It now contains 31 biscuits. How many did it have before?
Answer:
25
Step-by-step explanation:
124% = 31
1% = 0.25
100% = 25 biscuits
...YUMMY!
Answer:
24
Step-by-step explanation:
How Many Solutions Does 6 + [tex]\frac{x}{5}[/tex] = [tex]\frac{x}{5}[/tex] - 5 - [tex]\frac{3x}{10}[/tex] Have?
A. One solution
B. Two solutions
C. No solutions
D. Infinitely many solutions
Answer:
A. One solution
Step-by-step explanation:
6 + x/5 = x/5 - 5 - 3x/10
Cancel equal terms on both sides.
6=-5-3x/10
Multiply both sides of the equation by 10.
60=-50-3x
Move the variable to the left-hand side and change the sign.
60+3x=-50
Move the constant to the right-hand side and change the sign.
3x=-50-60
Calculate the difference.
3x=-110
Divide both sides by 3.
x=-110/3
=-36 2/3
Meaning one solution.
Hope this helps :)
Answer:
The answer you are looking for is A
Find the area of the triangle.
8 in.
12 in.
in
?
The area of the triangle is
Answer:
48 in²
Step-by-step explanation:
Hello!
Area of a Triangle: [tex]A = \frac12 b*h[/tex]
Given that the base and height are 8 and 12, we can plug it into the formula to solve for the area.
Find the area[tex]A = \frac12 b*h[/tex][tex]A = \frac12 (8*12)[/tex][tex]A = \frac12 (96)[/tex][tex]A = 48[/tex]The area of the triangle is 48 in².
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Formula for finding area of triangle:}[/tex]
[tex]\mathsf{\dfrac{1}{2}\times \bold{b}ase\times \bold{h}eight}[/tex]
[tex]\huge\textbf{Your equation should look like:}[/tex]
[tex]\mathsf{\dfrac{1}{2}\times 8 \times 12}[/tex]
[tex]\huge\textbf{Making it easier to solve:}[/tex]
[tex]\mathsf{\dfrac{1}{2}\times 8 \times 12}[/tex]
[tex]\mathsf{= \dfrac{1}{2}\times \dfrac{8}{1} \times \dfrac{12}{1}}[/tex]
[tex]\mathsf{= \dfrac{1\times8\times 12}{2\times1\times1}}[/tex]
[tex]\mathsf{= \dfrac{8\times 12}{2\times1}}[/tex]
[tex]\mathsf{= \dfrac{96}{2}}[/tex]
[tex]\mathsf{= \dfrac{96\div 2}{2\div 2}}[/tex]
[tex]\mathsf{= \dfrac{48}{1}}[/tex]
[tex]\mathsf{= 48\div1}[/tex]
[tex]\mathsf{= 48}[/tex]
[tex]\huge\textbf{Therefore, your \boxed{answer} should be:}[/tex]
[tex]\huge\boxed{\frak{48\ in^2}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Pleaseeee help please
Answer:
109 degrees
Step-by-step explanation:
Since AB is a straight line, we know the line is 180 degrees in total. So, with this information, subtract 180 with 29 and 42.
I think it might be 109°. AB is a straight line so it would have a degrees of 180, so I think all you have to do is add the two other degrees (42+29) which would give you 71, and then subtract 71 from 180.
Hopefully this answer is right but sorry if it isn't.