For a point with a slope 3/4 and which passes through the points (-2, 6) and (-8, k), the value of k is 1.5
The line passes through the points (-2, 6) and (-8, k)
That is, [tex]x_1=-2, y_1=6, x_2=-8, y_2=k[/tex]
The slope of the line, m = 3/4
The formula for calculating the slope of a line is given as:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Substitute [tex]x_1=-2, y_1=6, x_2=-8, y_2=k, m = \frac{3}{4}[/tex] into the formula above
[tex]\frac{3}{4} = \frac{k-6}{-8-(-2)} \\\\\frac{3}{4} = \frac{k-6}{-8+2}\\\\\frac{3}{4} = \frac{k-6}{-6}\\\\-6(3)=4(k-6)\\\\-18=4k-24\\\\4k=-18+24\\\\4k=6\\\\k=\frac{6}{4} \\\\k=1.5[/tex]
Therefore, the value of k is 1.5
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50 points and brainliest to first correct answer. And NO LINKS. Ty :)
If ABCD is dilated by a scale factor of 2 about point E, which of the following is true about line E prime F prime?
Square ABCD is shown with line EF running horizontally through the center of the figure.
Question 2 options:
line E prime F prime is perpendicular to line EF.
line E prime F prime is parallel to line EF.
line E prime F prime intersects with point B′.
line E prime F prime passes through the center of dilation.
Go here to see the image (it wouldnt let me attach it). The answer on this one doesnt seem right so someone pls give correct answer :)
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Is this the question below if it is the answer is..
Answer/Step-by-step explanation:
line E prime F prime passes through the center of dilation.
You want to watch 3 DVD's from a selection of 10. How many possible combinations of DVD's do you have
Answer:
210÷2=105
Step-by-step explanation:
What is the surface area of the cylinder with height 7 cm and radius 5 cm? Round
your answer to the nearest thousandth.
Answer:
376.991 cm²
Step-by-step explanation:
[tex]SA_{cylinder} = 2\pi r^{2} + 2\pi rh[/tex]
Surface Area = 2π(5²) + 2π(5)(7)
= 50π + 70π
= 120π
= 376.9911184... ≈ 376.991
Derive Surface Area of A CylinderIf you take a look at a net of a cylinder, you can see it is composed of two circles(bases) and a rectangular strip with the length of the diameter of the circle
The formula for the area of a circle = πr², and since there are 2, it is 2πr²
The formula for circumference of a circle = 2πr, and since we are multiplying that by the height by the height of the cylinder, it is 2πrh
∴ 2πr² + 2πrh
Please help (picture is linked)
Answer:
[tex]\LARGE\mathsf{slope\:=\:\frac{9}{5}}[/tex]
y-intercept: (0, 32), b = 32
[tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]
Step-by-step explanation:
Given (0, 32) as the freezing point of water in Celsius and Farenheit, and (100, 212) as the boiling point of water in Celsius and Farenheit.
SlopeUse these points to solve for the slope of their line.
Let (x₁, y₁) = (0, 32)
(x₂, y₂) = (100, 212)
Substitute these points into the following formula for the slope:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
[tex]\LARGE\mathsf{m = \frac {(212\: -\: 32)}{(100\: -\: 0)}\:= \frac {180}{100}}[/tex]
[tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex]
Therefore, the slope of the line is [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex].
Y-intercept:Next, the given problem asks for the value of the y-intercept. The y-intercept is the point on the graph where it crosses the y-axis, with its coordinates occurring at point, (0, b ). Thus, the y-intercept provides the value of y when its corresponding x-coordinate is 0.
To solve for the y-intercept, b, we must choose one of the given points, (100, 212), and the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex], and substitute these values into the slope-intercept form, y = mx + b:
y = mx + b
[tex]\LARGE\mathsf{212\:=\:\frac{9}{5}(100)\:+\+b}[/tex]
212 = 180 + b
Subtract 180 from both sides to isolate b:
212 - 180 = 180 - 180 + b
32 = b
The y-intercept is (0, 32), where b = 32.
Slope-intercept form:Given the slope, [tex]\LARGE\mathsf{m\:=\:\frac{9}{5}}[/tex], and the y-intercept, b = 32:
The linear equation in slope-intercept form is: [tex]\LARGE\mathsf{y\:=\:\frac{9}{5}x\:+\:32}[/tex]
What is the missing angle ?
What is the inverse of the following statement: “If x is a whole number, then x = 5”?
If x is not a whole number, then x ≠ 5.
If x = 5, then x is a whole number.
If x ≠ 5, then x is not a whole number.
If x is not a whole number, then x = 5.
Johan has recorded 32 show usings his cable television service. Each week, he records 6 new shows.
Write an expression to show the total number of shows Johan has recorded after w week.
Answer:
32+6w=x
Step-by-step explanation:
Johan already has the 32
he is adding 6 every week which gives you the total-x
if it was two weeks, 32+6(2)= 32+12=44
Amy and Richard each solved an equation using the quadratic formula.
Both students made a mistake.
Describe the mistake each student made.
Explain what each student needs to do to fix their mistake.
Create your own quadratic equation, and explain how to use the quadratic formula to solve it. Be specific, using Latex: a\textsf{, }b\textsf{,} and Latex: c
c
of your equation and giving the solutions to the equation you chose.
Amy didn't include the negative sign for the 20, so she got an imaginary number.
Richard made it imaginary when he didn't need to. (there isn't a negative sign underneath the radical).
The perimeter of a rectangle is 30 inches. If the length of the rectangle is 10 inches, which equation could be used to find the width of the rectangle "w" in inches
Answer:
30=2(10 x w)
Step-by-step explanation:
P=2(l x w)
Perimeter(P) equals two times length(l) times width(w)
Hope this helps
PLS HELP FOR BRAINLIST :D
Answer:
The third answer is the correct one.
Determine the intervals of the domain over which the function is continuous.
A) (-infinity,0]
B) [0,infinity)
C) (-infinity, infinity)
D) (0,infinity)
The intervals of the domain over which the function is continuous is - option (C) (-infinity, infinity).
A function is said to be continuous on an interval when the function is defined at every point on that interval and undergoes no interruptions, jumps, or breaks. If some function f(x) satisfies these criteria from x=a to x=b, for example, we say that f(x) is continuous on the interval [a, b]. The brackets mean that the interval is closed -- that it includes the endpoints a and b. In other words, that the interval is defined as a ≤ x ≤ b. An open interval (a, b), on the other hand, would not include endpoints a and b, and would be defined as a < x < b.
we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded.
If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.
So the the intervals of the domain over which the function is continuous is (-infinity, infinity) .
To learn more about Intervals
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help me with this problem
Answer:
ñññññññññ
Step-by-step explanation:
11/9/2001
Please help ….Simplify: V18x7
Answer:
The answer is 3x^3 V2x. Edge 2022. For the second part, the product is -1
Step-by-step explanation:
For the equation y = -x +5, find y when x = -2
Answer:
y = 7
Step-by-step explanation:
y = -x + 5
when x = -2
y = - (-2) + 5
Double negative is positive
y = 2 + 5
y = 7
Answer:
y=7
Step-by-step explanation:
When x=-2,
y=-x+5
=-(-2)+5
=2+5
=7
How to do matrix multiplication.
Answer:
A Matrix is an array of numbers:
2x3 Matrix
A Matrix
(This one has 2 Rows and 3 Columns)
To multiply a matrix by a single number is easy:
Matrix Multiply Constant
These are the calculations:
2×4=8 2×0=0
2×1=2 2×-9=-18
We call the number ("2" in this case) a scalar, so this is called "scalar multiplication".
9w = -54
what does w =
Answer:
w = -6
Step-by-step explanation:
[tex]9w=-54~(Given)\\\\\frac{9w}{9}=\frac{-54}{9}~(Divide~9~on~both~sides)\\\\w=-6~(Simplify)[/tex]
PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE
Answer:
Parallel
Step-by-step explanation:
So if they have the same slope but different y-intercepts, it would be parallel because the slope stays the same so the line doent change, just the starting point
for example use the following equations
y = x + 2
y = x + 3
In the graph, these equations are parallel
Answer:
Neither
Step-by-step explanation:
Because the y intercepts, or the (point on the y axis) is different
May I please have brainliest?
How many times does 6 go into 719 divison with partial quotient
119.833333333 times it goes into 719 119.833333333 times
Answer:
119 R5
Step-by-step explanation:
we first divide 7 by 6 and we get that it goes in once
so 1__
then after we do 7 - 6 and get a remainder of 1
we drop the 1 next to the other one and get 11
then we divide 11 by 6 and we get that it goes in once
so 11_
then after we do 11 - 6 we get a remainder of 5
we drop the 5 next to the nine and get 59
then we divide 59 by 6 and get 9
so 119
then after we do 59 - 54 and get a remainder of 5
so our answer is 119 R5
Answer these questions
Answer:
y < 5
Step-by-step explanation:
Subtract 22 from both sides.
7y < 5y + 12 - 2
7y < 5y + 12 − 2
2 Simplify 5y + 12 - 25y + 12 − 2 to 5y + 105y + 10.
7y < 5y + 10
7y < 5y + 10
3 Subtract 5y5y from both sides.
7y - 5y < 10
4 Simplify 7y - 5y7y − 5y to 2y.
2y<10
Divide both sides by 22.
y < 10/2
Then Simplify 10/2 to 5
y < 5
What is 2 and 2/3 x 5
Answer:
13 and 1/3
Step-by-step explanation:
2×5=10
2/3 ×5 =10/3
10/3 simplifies to 3 and 1/3
Add them together to get 13 and 1/13
Let x represent BC. Using either ABC or CAB and trigonometric functions, solve for x to three decimal places in at least three different ways.
Show your work for each way you find x.
Answer:
Step-by-step explanation:
plato answer
A city has a population of 38,802,500 people. Esitmate this population to the nearest ten million
Answer:
40,000,000
Step-by-step explanation:
hope this works
( No Copy answer Use)
:)
what is 2+3-4+6+22=
not that hard
Answer:
29
Step-by-step explanation:
Simplify 2+3 to 55-4+6+22
Simplify 5-4 to 1.1+6+22
Simplify 1+6 to 7.7+22
Simplify.29
Find the perimeter. Simplify your answer.
Answer:
[tex]18x+32[/tex]
Step-by-step explanation:
Perimeter is the total distance around a shape and can be found by calculating the sum of a shape's sides.
In this case, we are given a parallelogram, a quadrilateral with two pairs of parallel sides. Thus, the formula for a parallelogram's perimeter is as follows:
[tex]P=2(a+b)[/tex]
Substitute the variables in the formula for the expressions on the parallel lines:
[tex]a=3x+6[/tex]
[tex]b=6x+10[/tex]
[tex]P=2(3x+6+6x+10)[/tex]
Distribute the 2 into each term:
[tex]P=6x+12+12x+20[/tex]
[tex]P=18x+32[/tex]
Answer:
18x + 32Step-by-step explanation:
Perimeter = 3x + 6 + 6x + 10 + 6x + 10 + 3x + 6
= 18x + 32...ans
Hope it Helps you!!how can you find 8 people can share 7 tickets equally
Answer:
Easy Kick one person out
Step-by-step explanation:
8/7 because 7*8=7/1*8/1= and we will take the reciprical which is 7/1*1/8=7/8
consider the function represented by the equation 6q = 3s - 9. write the equation in function notation where q is the independent variable
Answer:
3s = 6q + 9
Step-by-step explanation:
Remember y = mx + b? The function you provided is exactly that but with different letters. As written, the dependent variable is 6q since that is what is isolated. To make it the independent variable, isolate something else so that it becomes the dependent variable. In other words, solve for s by moving the 9 to the other side of the equation.
6q = 3s - 9
3s = 6q + 9
what is the largest factor that can be identified in the fraction 102/150
A. 6
B. 7
C. 11
Who is known as "The Father of Genetics"? and List as many facts as you can about him and his accomplishments.
Mendel know as Father of genetics
he worked on pea plant for seven years and give two laws
law of independent assortment and law of dominance
write the following fraction as decimals numbers 29/10 329/100 72/1000 2/1000
[tex] \frac{29}{10} = 2 \frac{9}{10} [/tex]
[tex] \frac{329}{100} = 3 \frac{29}{100} [/tex]
[tex] \frac{72}{1000} = \frac{9}{25} [/tex]
[tex] \frac{2}{1000} = \frac{1}{50} [/tex]
I DON'T KNOW IF CORRECT
Answer:
i) 2.9
ii) 3.29
iii) 0.072
iv) 0.002
Step-by-step explanation:
i) 29/10 = 2.9
ii) 329/100 = 3.29
iii) 72/1000 = 0.072
iv) 2/1000 = 0.002
It's Helpful For All
Mark me Brainliest
Here’s a table that represents the situation. Find the cost of 1 gigabyte
Answer:
.25 dollars or 25 cents
Step-by-step explanation:
128/2=64 32/2=16
64/2=32 16/2=8
32/2=16 8/2=4
16/2=8 4/2=2
8/2=4 2/2=1
4/2=2 1/2=(1/2)
2/2=1 (1/2)/2=(1/4)
1/4 of 1 dollar is 25 cents
