Answer:
y= 5/6x -6
Step-by-step explanation:
[tex]m =\frac{5}{6} \\(12,4)=(x_1,y_1)\\\\[/tex]
Substitute values into point slope form
[tex]y-y_1 =m(x-x_1)\\\\y - 4 = \frac{5}{6} (x-12)\\\\y-4 = \frac{5}{6} x -10\\\\y=\frac{5}{6} x -10+4\\\\y = \frac{5}{6} x -6[/tex]
The equation of the line that has a slope of 5/6 and passes through (12, 4) will be y = 5/6) x - 6.
What is a linear equation?A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The slope of the line is 5/6. Then the equation of the line will be
y = (5/6)x + c
The equation of the line is passing through (12, 4), then the value of c will be
4 = (5/6) 12 + c
4 = 10 + c
c = -6
Then the equation of the line will be y = (5/6)x - 6.
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x² + 2y– xy2 - 7xy –8+ 3x’ – 7xy + y² + 3xy?
Answer:−xy2+x2−11xy+y2+3x+2y−8
Step-by-step explanation:
What is 442500 represented in scientific notation?
Answer:
4.425*10⁵
Step-by-step explanation:
442500 = 4.425 * 10 ⁵
Fourteen less than the quotient of a number and 5
Answer:
Step-by-step explanation:
14-(a/5)
(-12) +7
what’s the answer
A.-11
B.-17
C.4
D.-5
E.8
Answer:
D) -5
Step-by-step explanation:
When two numbers have different sign, subtract and the answer will have the sign of the bigger number.
Here the sign of bigger number is negative. So, (-5)
The dashed triangle is a dilation image of the solid triangle. What is the scale factor? A. 1/4 B. 1/2 C. 2/3 D. 2
Answer:
I am not good in maths but I think it is
A 1/4
A model's scale ratio is the ratio of linear dimensions. The scale factor of the triangle is (1/2).
What is the scale ratio?A model's scale ratio is the proportionate ratio of a linear dimension of the model to the equivalent characteristic of the original.
The scale ratio of the triangle can be found by taking the ratio of any one side of the dashed triangle to the solid triangle. Therefore, the scale ratio will be,
[tex]\rm Scale\ ratio = \dfrac{\text{Length of the dashed line}}{\text{Length of the solid line}}\\\\ Scale\ ratio = \dfrac{2}{4} = \dfrac{1}{2}[/tex]
Hence, the scale factor of the triangle is (1/2).
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WILL MARK YOU BRAINLIEST
A and B
......................
Answer:
B. [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
A. [tex]d = \sqrt{(x_1-x_2)^2+(y_1-y_2)^2} \\[/tex]
D.
Step-by-step explanation:
Mrs. Drew wants to build a square sandbox with an area of 361 square feer. What is the total length
of wood Mrs. Drew needs to make the sides of the sandbox?
Answer:
19 feet
Step-by-step explanation:
Area= length × length
361= l²
√361= l
19= l
Answer: 76
Step-by-step explanation:
the length of the rectangle is twice the breadth. the area of the rectangle is 128m2. find the length of the rectangle
Answer:
length =16
Step-by-step explanation:
area= breadth*length
length = 2 breadth --equation 1
(the length of the rectangle is twice the breadth)
128m^2= breadth*2 breadth
128m^2= 2 breadth^2
breadth^2= 128/2m^2
breadth^2=64m^2
taking square root on both sides
[tex]\sqrt{breadth^2}[/tex]=[tex]\sqrt{64m^2}[/tex]
[tex]\sqrt{breadth^2}[/tex]=[tex]\sqrt{(8m)^2}[/tex]
breadth= 8m (cancelling square root with power 2
put breadth in equation 1
length= 2*8
length= 16
CHECK:
area of rectangle = breadth * length
area= 8*16
area=128
!!!! I NEED HELP RIGHT NOW ITS DUE IM 5 MINUTES !!!!
Answer:
Step-by-step explanation:
A = h(a+b)/2 for h
2A = h(a + b)
h(a+b) = 2A
h = 2A/(a+b)
fd - m = 8
Solve for d
Please help!
Answer:
[tex]d=\frac{8+m}{f}[/tex]
Step-by-step explanation:
[tex]fd-m=8[/tex]
Add m to both sides:
[tex]fd-m+m=8+m[/tex]
[tex]fd=8+m[/tex]
Divide both sides by f:
[tex]\frac{fd}{f}=\frac{8+m}{f}[/tex]
[tex]d=\frac{8+m}{f}[/tex]
8cm 10cm 10cm 12cm 34cm what’s the volume
A package of floor tiles contains 22 one-foot-square tiles. Find how many packages
should be bought to cover a square ballroom floor whose side measures 66 feet Note:
Partial packages cannot be bought
Answer:
Step-by-step explanation:
66 times 66 for area is 4356 then 4356 divided by 22 is 217.8 so 218
Please does anyone know how to do this x
Step-by-step explanation:
Weight before diet: 208 pounds
After diet: 192 pounds
Difference in weight: 16 pounds
(16÷208)*100= 7.7%
Need some help pleaseeee
Answer:
A:no B:no C:yes D:yes
Step-by-step explanation:
Identify the perimeter and area of a square with diagonal length 16 cm. Give your answer in simplest
radical form
Answer:
32r2, 128 cm ^2
The area and the perimeter of the square are 128 cm² and 32√2 cm, respectively.
What is a square?A square is a parallelogram, whose all sides are congruent and all angles are right angle.
Given that, a square with diagonal length 16 cm
Let the side of the square be a,
We know that, all sides of a square are congruent,
And, the diagonal divides it into two congruent right triangles,
Therefore, using Pythagoras theorem,
a²+a² = 16²
2a² = 256
a² = 128
a = 8√2
Area = side²
Therefore, area = 128 cm²
perimeter = 4×sides = 32√2 cm
Hence, the area and the perimeter of the square are 128 cm² and 32√2 cm, respectively.
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solve for a.
-6a = -18
Answer:
A=3
Step-by-step explanation:
Step 1: Divide both sides by -6/
-6a/-6= -18/-6
a=3
Ben went to the hardware store and bought 7 pieces of rope of equal length. The total length of the ropes was 56 meters. How long was each rope?
Answer:
8 meters
Step-by-step explanation:
56 / 7 = 8
A number is rounded to the nearest tenth and hundredth. What is the number that was rounded? (2 points)
Number Rounded to Nearest Tenth Rounded to Nearest Hundredth
0.6
0.58
a
0.574
b
0.579
С
0.585
O d
0.681
Answer: The answer is B i just did this test
Step-by-step explanation:
The only number on the list that matches the rounding requirement is 0.579. Hence, the correct option is B.
What is rounding a number to some specific place?Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.
Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.
We can consider what the offered numbers are when they are rounded to hundredths:
0.574 ⇒ 0.57
0.579 ⇒ 0.58 . . . matches the requirement
0.585 ⇒ 0.59
0.681 ⇒ 0.68
The only number on the list that matches the rounding requirement is 0.579.
Hence, the correct option is B.
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When cut into 16 equal slices, each slice is 1/16 of the pizza. Express how much of the plzza 8 of these slices would be in decimal form.
Answer:
the answer is 0.5, or about 50%
Step-by-step explanation:
If 8 slices are being take out of 16, divide the taken pieces by the total pieces, and it would be half or 0.5.
Hope this helps
Answer: 0.5
Step-by-step explanation: because if the pizza is 8 slices that would be the half of the original number of slices it was, so therefore, it would be rounded to 0.5, or 50%- half the pizza
Find (fog)(x). f(x) = 2x
g(x) = x + 6
write your answer as a polynomial in simplest form.
(f•g)(x)=
Answer: (f•g)(x)=2x²+12x
Step-by-step explanation:
(f•g)(x) is the same as saying f(x)•g(x). Since we have f(x) and g(x), we can just multiply them together.
(f•g)(x)=2x(x+6) [distribute by FOIL]
(f•g)(x)=2x²+12x
Now, we know that (f•g)(x)=2x²+12x.
y is directly proportional to x when y=30, x=6
a) work out an equation connecting y and x
b) work out the value y when x=12
Answer:
a) y = 5x
b) y = 60
Step-by-step explanation:
Since, y is directly proportional to x when y=30, x=6
[tex] \therefore \: y \: \alpha \: \: x \\ \therefore \: y = kx ...(1) \\ plug \: y = 30 \: and \: x = 6 \: in \: eq \: (1)\\ 30 = k \times 6 \\ k = \frac{30}{6} \\ k = 5 \\ plug \: k = 5 \: in \: (1) \\ y = 5x....(2) \: (required \: equation) \\ plug \: x = 12 \: in \: eq \: (2) \\ y = 5 \times 12 \\ \huge \red{ \boxed{y = 60}}[/tex]
If 2* = 32
find the value of x.
Answer:
2^x = 2*2*2*2*2
2^X = 2^5
x=5
Step-by-step explanation:
Every line segment has a length ?
Answer:
A line segment has two endpoints. A line has no end point. A line-segment has a definite length. But a line does not have definite length.
Step-by-step explanation:
My answer is B im sure im wrong ;-;
Answer:
12.56
Step-by-step explanation:
find the circumference of the circle : 2πr
C=2(12)(3.14)
C=75.36
the length of the arc is: arc length will be (60/360) one 1/6 of the total circumference.
(60/360)(75.36)= 12.56
i'm over this please
Answer:my answer is oooof
Step-by-step explanation:
x=127
since a triangle equals 180, subtract 180-37-90 to get the bottom angle of 53. that straight line is also 180 so 180-53=127
Which number has a 3 that is 10 times greater than the 3 in 513?
Answer:
30
Step-by-step explanation:
The 3 in "513" is only 3. it's 1, 2, 3. If we do 3 x 10 it's 30.
3 x 10 = 30.
"times greater" means multiplication if you were confused about it.
Hope this helps! Have a nice day!
Place values are used to represent the value of digits in a given number. The number that has a 3 that is 10 times greater is 30.
Given that:
[tex]Number = 513[/tex]
We make the following observations in 513
513 does not have decimalsThe 3 in 513 is the rightmost digit.The rightmost digit in a non-decimal number is the unit digit. So, the value of 3 in 513 is:
[tex]Value = 3 \times unit[/tex]
Unit means 1. So:
[tex]Value = 3 \times 1[/tex]
[tex]Value = 3[/tex]
So, the value of 3 in 513 is 3.
Let the other number be x.
x is 10 times greater than 3 means that:
[tex]x = 10 \times 3[/tex]
[tex]x = 30[/tex]
Hence, the number is 30
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Priya starts with $50 in her bank account. She then deposits $20 each week for 12 weeks.
How many weeks does it take her to have $250 in her bank account?
O 15 weeks
O 4.6 weeks
O 10 weeks
O 5.4 weeks
Answer:
10 weeks
Step-by-step explanation:
20x+50=250
First subtract 50 from both sides, which gives you 20x=200
then divide 20 from both sides which gives you x=10
The size of the largest angle in a triangle is 3 times the size of the smallest angle.
The other angle is 35 more than the smallest angle.
Work out in degrees the size of each angle in the trianlge
You must show your working
Answer:
a = 29
b = 64
c = 87
Step-by-step explanation:
Let the angles be a (smallest), b, and c (largest).
We know that a triangle's angles must add up to 180 degrees, so we can construct the following equations.
a + b + c = 180
c = 3a
b = a +35
With some solving and substitution...
a + (a + 35) + c = 180
2a + c = 145
2a + (3a) = 145
5a = 145
a = 29
and therefore,
b = 29 + 35 = 64
c = 3(29) = 87
Answer:
Let smallest angle be :x
So, the largest angle will be:3x
And the other angle will be :x+35
According to angle sum property of triangle,
x+3x+x+35=180
5x+35=180
5x=180-35
5x=145
x=(145/5)
Therefore, x=29
So, the smallest angle =x=29
The largest angle=3x=87
And the other angle=x+35=64
Suppose a class has 24 chairs,6 tables, and 2 teachers, what is the ratio of chairs to tables
Step-by-step explanation:
A ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other. A ratio has a colon between the 2 numbers you are comparing.
Example: 3:5
The question is asking the ratio of chairs to tables. There are 24 chairs so the ratio so far is 24:t. There are 6 tables.
24:6
Hope it helps!
Find two consecutive even integers such that six times the first equals five times the second.
Answer:
4 and 6 are the two consecutive even integers
Step-by-step explanation:
Hi,
Let x represent the smaller of the two consecutive even integers, (x+2) the other
Write as we Read***
6x = 4(x+2)
solve for x
6x = 4x + 8
2x = 8
x = 4
checking our answer
6*4 = 4*6 = 24