Answer:
y=-2x+8
Step-by-step explanation:
slope formula is y=mx+b
slope(m)=-2, and y-value(b)=8
so ya just plug in what ya know to get y=-2x+8
The equation of the line that passes through point (−3, 8) and has the slope m=−2 is [tex]y=-2x+2[/tex]
What Is y = mx + c?The slope-intercept form of the equation of the line is represented by the equation y = mx + c. It requires the line's y-intercept and slope value, "m." We must first comprehend the line's slope m and y-intercept in order to comprehend this equation for the line.Slope: The letter "m" stands for the line's gradient or slope. The slope here could be zero, positive, or negative. With reference to the x-axis, the tangent of this line's angle of inclination can likewise be used to compute the slope.Intercept: The term "intercept" in this equation refers to the value "c," which is the line's starting point. The length of the line's y-axis intersection, measured from the origin, is known as the intercept. It can also be thought of as the line's intersection point at (0, c) on the y-axis.The slope formula can be used to create the equation y = mx + c. Here, we choose a random point (x, y) on the line and a point (0, c) on the y-axis. We try to determine the slope'm' of the line using these two points. The slope of the line is equal to the difference between the two points' y coordinates divided by the difference between their x coordinates.m = (y - c)/(x - 0) mx = y - c and m = (y - c)/xy = mx + c So, using the formula for the slope of a line, we can successfully deduce the slope-intercept form of the equation of a line.Given, x= -3, y = 8 and m = -2
usiny y =mx+c
we get,
8 = -2*-3+c
8 = 6+c
c = 8-6 = 2
Therefore, The equation of the line that passes through point (−3, 8) and has the slope m=−2 is [tex]y=-2x+2[/tex]
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Add the two complex numbers 6 + 7i and 10 + 2i
✩ Answer:
✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*
[tex]\bold{Hello~}\\\bold{Your~answer~is~below!}[/tex]
✩ Step-by-step explanation:
✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*
1.) [tex]6+7i[/tex]:
✺ The modulus of a complex number is:
[tex]a+bi[/tex] is [tex]\sqrt{a^2+b^2}[/tex]✺ The modulus of [tex]6+7i[/tex] is:
[tex]\sqrt{85}[/tex] ≈ [tex]9.219544457[/tex]2.) [tex]10 + 2i[/tex]:
✺ The modulus of a complex number is:
[tex]a+bi[/tex] is [tex]\sqrt{a^2+b^2}[/tex]✺ The modulus of [tex]10 + 2i[/tex] is:
[tex]2\sqrt{26}[/tex] ≈ [tex]10.198039027[/tex]3.) [tex]6+7i+10 + 2i[/tex]:
✺ Combine the real and imaginary parts in [tex]6+7i+10+2i[/tex]:
[tex]|6+10+(7+2)i|[/tex]✺ Do the additions in [tex]6+10+(7+2)i[/tex]:
[tex]|16+9i|[/tex]✺ Solve the complex modulus using the formula:
[tex]a+bi[/tex] is [tex]\sqrt{a^2+b^2}[/tex]✺ The modulus of [tex]16+9i[/tex] is:
[tex]\sqrt{337}[/tex] ≈ [tex]18.357559751[/tex][tex]Hope~this~helps~and,\\Best~of~luck!\\\\~~~~~-TotallyNotTrillex[/tex]
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Solve for x: -2x – 7 = 3
Answer:
x=-5
Step-by-step explanation:
-2x=3+7
or,-2x=10
or,x=-10/2
x=-5
Answer:
x = -5
Step-by-step explanation:
Add 7 to each side, so it now looks like this: -2x = 10Divide each side by -2 to cancel out the -2 next to x. It should now look like this: x = -5I hope this helps!
NEED YOU GUYS HELP ONCE AGAIN!!
Answer:50
Step-by-step explanation:
The weight of a person in pounds.
1293
Answer:
if 1293 is ounces, 80.8125 would be lbs !!
Step-by-step explanation:
Answer:
h
Step-by-step explanation:
A package of 5 pairs of insulated gloves costs $35.95 What is the unit price of the pairs of gloves?
Answer:
$7.19 a pair
Step-by-step explanation:
35.95/5 = 7.19
Answer:
$7.19
Step-by-step explanation:
$35.95 / 5 = $7.19
is 1/5-x equivalent to x-1/5
distance between (-1,-1) and (-4,1)
Solve for r in the proportion.
Answer:
r=15
Step-by-step explanation:
Cross Multiply:
10 x 6= 60 and 4 x r= 4r
Now Divide By 4 On Both Sides:
60=4r
60/4=15
Therefore, r=15
Please helppppp!!!!!
Zahmiere and Brayden are playing basketball. Yesterday, Zahmiere made 3 shots in 5 attempts, while Brayden made 4 shots in 6 attempts. If they continue at those rates, who will make more shots in 30 attempts? Plsss answer fast!!!!! Plssssss
Answer:
i think the answer would be Brayden
Step-by-step explanation:
I need help ASAP!!! The entire question is right here.
Answer:
R1. Given
R2. Subtraction Property of Equality
R3. Distributive Property
S4. 9x = 61
R5. Division Property of Equality
Are the triangles similar?
And why?
Answer:
No
Step-by-step explanation:
The first triangle is smaller and the second one is bigger. The first is 60 degrees and the second is about 89. (Maybe, ask your parents. I'm not quite sure of the angles.)
(-6,7)(4,-8) find slope
✩ Answer:
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[tex]\bold{Hello!}\\\bold{Your~answer~is~below!}[/tex]
✩ Step-by-step explanation:
✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*✧･ﾟ: *✧･ﾟ:*
✺ Solve for: [tex]3x-27=-6[/tex]:
✺ Add [tex]27[/tex] to both sides:
[tex]3x=-6+27[/tex]
✺ Add [tex]-6[/tex] and [tex]27[/tex] to get [tex]21[/tex]:
[tex]3x=21[/tex]✺ Divide both sides by [tex]3[/tex]:
[tex]x=\frac{21}{3}[/tex]✺ Divide [tex]21[/tex] by [tex]3[/tex] to get [tex]7[/tex]:
[tex]\boxed{x=7}[/tex][tex]Hope~this~helps~and,\\Best~of~luck!\\\\~~~~~-TotallyNotTrillex[/tex]
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12 labourers can complete a peice of work in 72 days.How many men will be required to do the same work in 54 days?
Answer:
answer will be 16 days-----------------------------------------------
Step-by-step explanation:
12 labour can complete the work in 72 days
so. 1 labour---------------------------------12×72
so. 54 labour--------------------------------- 864/54=16
??????????????????????????
Answer:
Seconds in second row: 48Glasses in third row: 11Step-by-step explanation:
Answer for seconds in second row:
Set up a proportion: [tex]\frac{5}{20} = \frac{12}{x}[/tex] Cross multiply, then divide: 20 × 12 = 240, 240 ÷ 5 = 48Answer for glasses in third row:
Set up a proportion: [tex]\frac{5}{20} = \frac{x}{44}[/tex] Cross multiply, then divide: 44 × 5 = 220, 220 ÷ 20 = 11I hope this helps!
14/27 divided by 2/3 soo can someone help me and maybe give me the answer
Answer: 9/7
Step-by-step explanation:
PLZZZZZZZ HELP ASAP!!!!!!!!! In a negative feedback loop, the initial signal is:
Question 15 options:
remains unchanged
canceled out
amplified to a climax
Answer:
Remains unchanged
Step-by-step explanation:
Answer:
Step-by-step explanation:
In a negative feedback loop, the product of the loop inhibits whatever initiated the loop, preventing more product from being formed.
This is in contrast to a positive feedback loop, where the product of the loop further stimulates whatever initiated the loop, resulting in even more product being formed.
What is the slope-intercept form of the equation of the line that passes through the points (-3, 2) and (1,5)?
Answer:
y= 3/4x+17/4
Step-by-step explanation:
You're welcome :)
(x²+7x+10) =
whats the answer help me plsss:(
Answer:
(х+2)(х+5)
Step-by-step explanation:
easy, just train quadratic equations ;)
give a numerical example that shows these are not the same expressions. 2(n+5) and 2n+5
Answer:
The two are different expressions because when you distibute, you multiply all terms inside the parenthesis with the 2 in the first one: 2(n+5) = 2n + 10.
2n + 10 ≠ 2n + 5.
Step-by-step explanation:
Answer: Any number that isn’t 1, 2, -1, or -2 I believe.
Step-by-step explanation: In the first expression, you have to distribute the 2, making it equal to 2n + 10, whereas the first is just 2n + 5.
For example if you were to plug the number 3 into this, you would have 2(3+5), which is 2(8) = 16. Versus the other side, 2(3)+5 = 11
Solve the equation for the given variable.
2(x + 6) = 8
Solve for r
n(17 + r)= 34r – r
Answer:
17n/33-n is the answer
(4)^2(−3)^4/ 2^6
what's 4 to the second power times -3 to the 4th power divided by 2 to the 6th power.
Answer: no idea
Step-by-step explanation:
LLLLLLLLLOOOOOOOOOOLLLLLLLLLLLLLLLL
Help please!!! 20 points
Answer:
I have no idea sorry
Step-by-step explanation:
Two stores are having a sale on the
same dress. One store is offering
30% off the regular price of $82.40.
The other store is offering 20% off
the regular price of $63.60.
What is the difference between the
sales prices of the two stores?
DONT ANSWER IF U DONT KNOW.!
Answer:
6.8
Step-by-step explanation:
30% of 82.40 = 24.72
20% of 63.60 = 12.72
--------------------------------
82.40 - 24.72 = 57.68
63.60 - 12.72 = 50.88
57.68 - 50.88 = 6.8
Answer:
6.8
Step-by-step explanation:
After swimming 80 feet below the surface of the water, a whale swims up 40 feet. Use a number line to help you create an equation that shows the new location of the whale in relation to the water's surface.
A) The equation is -80 + (-40) = -120. The whale is 120 ft below the water's surface.
B) The equation is -80 + 40 = -40. The whale is 40 ft below the water's surface.
C) The equation is -80 + (-40) = -40. The whale is 40 ft below the water's surface.
D) The equation is -80 + 40 = -120. The whale is 120 ft below the water's surface.
Answer:
the answer is d
Step-by-step explanation:
he swims 80 feet below so thats gonna be a negative number. he then swims up 40 feet so you would be adding . so -80+ 40 = -120
The new location of the whale in relation to the equation of water's surface is -80 + 40 = -120 which correct option (D)
What is equation?
Equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers are equal.
Whale swims 80 ft below so it be a negative number.
Whale then swims up 40 ft so would be adding .
When the whale is 120 ft below the water's surface so it be a negative number.
-80+ 40 = -120
Hence, the new location of the whale in relation to the equation of water's surface is -80 + 40 = -120
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PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
[see below]
Step-by-step explanation:
[tex]w=5(3a-b)+2\\\\w-2=5(3a-b)+2-2\\\\w-2=5(3a-b)\\\\\frac{w-2=5(3a-b)}{5}\\\\\frac{w-2}{5} =3a-b\\\\\frac{w-2}{5} +b=3a-b+b\\\\\frac{w-2}{5} +b=3a\\\\\frac{\frac{w-2}{5} +b=3a}{3}\\\\ \frac{w-2+5b}{15}=a\\\\ \boxed{a= \frac{w-2+5b}{15}}[/tex]
Hope this helps.
If ABC has vertices A (3,-1), B (2, 1), and C(5,3), find vertices of its image A'B'C'
after dilation with a scale factor of 2 about the origin.
OA) A (3/2, 1/2), B'(1,1/2), C'15/2,3/5)
OB) A 16, -2), B'(4,2), C (10, 6)
OC) A (6,2), B (4, 2), C'(10, 6)
OD) A (6,2), B (2, 2), C'(10, 6)
Answer:
d
Step-by-step explanation:
The vertices of image A'B'C' after dilation with a scale factor of 2 about the origin are , A' (6, -2), B' (4,2), and C' (10, 6).
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
ABC has vertices A (3, -1), B (2, 1), and C(5, 3).
Now, After dilation with a scale factor of 2 about the origin the vertices of A', B' and C' are,
A' = 2 × (3, - 1)
= (6, - 2)
B' = 2 × (2, 1)
= (4, 2)
C' = 2 × (5, 3)
= (10, 6)
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For the following square, find the value of x after that Find the length of each side of the square above. Be sure to label your answer and then Find the perimeter of the square above. Make sure to label your answer Please i need help fast or else im gonna fail my class please take this seriously.
Answer:
x = 9 ; 39 in. ; 156 in.
Step-by-step explanation:
Because it is a square, we know that all 4 sides are equal to each other.
This means we can take the two expressions and equal them to each other.
4x + 3 = 3(2x - 5)
4x + 3 = 6x - 15
-2x + 3 = -15
-2x = -18
x = 9
Now that we know the value of x, we can substitute it in to find the side length.
4(9) + 3
36 + 3
39 in.
Therefore, each side of the square is 39 in.
Finally, since we know all the side lengths are 39, we can find the perimeter by adding up all 4 side lengths.
p = 4(39) = 156 in.
Therefore, the perimeter of the square is 156 in.
The dimensions of a rectangular monitor screen are such that it's length is 5 in. More than it's width. If the length were doubled and if the width were deceased by 1 in the area would be increased by 170 in^2. What are the length and width of the screen?
Given:
Length of a rectangular monitor screen is 5 in more than it's width.
If the length were doubled and if the width were deceased by 1 in the area would be increased by 170 in².
To find:
The length and width of the screen.
Solution:
Let width of the screen be x inches.
Length of a rectangular monitor screen is 5 in more than it's width. So,
Length of screen = (x+5) inches
Area of screen is
[tex]Area=length\times width[/tex]
[tex]A_1=(x+5)\times x[/tex]
[tex]A_1=x^2+5x\text{ in}^2[/tex]
If the length were doubled and if the width were deceased by 1 in the area would be increased by 170 in².
New length = 2(x+5) inches
New width = (x-1) inches
So, new area is
[tex]A_2=2(x+5)(x-1)[/tex]
[tex]A_2=(2x+10)(x-1)[/tex]
[tex]A_2=2x^2+10x-2x-10[/tex]
[tex]A_2=2x^2+8x-10 \text{ in}^2[/tex]
Area increased by 170 in².
[tex]A_2-A_1=170[/tex]
[tex](2x^2+8x-10)-(x^2+5x)=170[/tex]
[tex]2x^2+8x-10-x^2-5x=170[/tex]
[tex]x^2+3x-10=170[/tex]
Subtract 170 from both sides.
[tex]x^2+3x-10-170=0[/tex]
[tex]x^2+3x-180=0[/tex]
Splitting the middle term, we get
[tex]x^2+15x-12x-180=0[/tex]
[tex]x(x+15)-12(x+15)=0[/tex]
[tex](x+15)(x-12)=0[/tex]
[tex]x=-15,12[/tex]
Width cannot be negative. So, x=12.
Width = 12 inches
Length = 12+5 = 17 inches
Therefore, the length of screen is 17 inches and width is 12 inches.