Answer:
x - 3y = 8.
Step-by-step explanation:
Use the point-slope form of the equation of a line:
y - y1 = m(x - x1) where m = the slope and (x1, y1) is a point on the line.
So substituting the given values:
y - (-2) = 1/3(x - 2)
y + 2 = 1/3x - 2/3 Multiply through by 3:
3y + 6 = x - 2
x - 3y = 6 + 2
x - 3y = 8 <---- Standard Form.
How to solve 4x-c=k solve for x
Answer:
[tex]x = \frac{k + c}{4}[/tex]
Step-by-step explanation:
Given:
[tex]4x - c = k[/tex]
Solve for:
[tex]x[/tex]
Solution:
(1) Let's move all of components that do not contain [tex]x[/tex] (our target) to the right side (notice the change of sign of [tex]c[/tex] from negative to positive):
[tex]4x = k + c[/tex]
(2) Let's divide both sides of equation by 4:
[tex]\frac{4x}{4} = \frac{k + c}{4}[/tex]
(3) Now, we simplify the left side:
[tex]x = \frac{k + c}{4}[/tex]
This is the solution.
Hope this helps!
:)
If x and y are positive real numbers, which expression is equivalent to the expression below?
(49x^2y)^1/2(27x^6y^3/2)^1/3
A.) 21x/^3y
B.) 10x^2y
C.) 10x^3y
D.) 21x^3y^2
The answer is A.) 21x/^3y
Here is proof
While Diane was visiting her sister in Kingwood, she bought a bunch of balloons that was marked down 20% from an original price of $5. If the sales tax in Kingwood is 8.5%, what was the total cost of the bunch of balloons? $
Answer:
$4.34
Step-by-step explanation:
Given the information:
The original price: $5Discount : 20% Tax: 8.5%We can find out the actual price that Diane bought a bunch of balloons that was marked down 20% is:
= the original price (100% - discount rate)
= 5(100% -20%)
= $4
The tax amount she need to pay is:= The actual price*tax rate
= $4*8.5%
= $0.34
=> the total cost of the bunch of balloons :
The actual price + tax price
= $4 + $0.34
= $4.34
Hope it will find you well.
A rectangle has a width that is 3cm less than its length. The perimeter of the rectangle is 22cm. What is the length and width of the rectangle? Please use problem solving algebraically and explain your answer so i can give you the brainliest. :)
Answer:
The length is 7 and the width is 4
Step-by-step explanation:
l = length
w = l-3
P =2( l+w)
22 = 2( l+ l-3)
Combine like terms
22 = 2(2l-3)
Divide each side by 2
22/2 = 2/2 (2l-3)
11 = 2l-3
Add 3 to each side
11+3 = 2l-3+3
14 = 2l
Divide each side by 2
14/2 =2l/2
7 = l
Now find w
w = l-3
w = 7-3 = 4
Answer: length = 7 cm
Width = 4 cm
Step-by-step explanation:
Perimeter = 2 (l + w)
22 = 2 ( l + l-3)
22=2 (2l - 3)
22=4l - 6
22+6 = 4l
4l = 28/4
l = 28/1 = 7 = length
Width = 7-3 = 4
I don’t know how to figure out the ratio of the areas. The area for HGEF is 60.5 (121/2) and the area for JKLM is 378.125 (3025/8). I know the areas are right because the previous questions says they are. Thank you so much!
Answer:
25 : 4
Step-by-step explanation:
Given 2 similar figures with ratio of sides = a : b , then
ratio of area = a² : b²
For the given figures the ratio of corresponding sides is
JK : EF = 20 : 8 = 5 : 2 , thus
ratio of areas = 5² : 2² = 25 : 4
WY is the perpendicular bisector of XZ. Y =
(I attached an image) Please help! Thank you!
Answer:
y=5
Step-by-step explanation:
Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
WY is the perpendicular bisector of XZ.
2x + 3 = 3x - 5
x = 8
5y - 2y = 7 + 8
y = 5
The value of y is 5
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
WY is the perpendicular bisector of XZ.
We see that,
2x + 3 = 3x - 5
3x - 2x = 3 + 5
x = 8
Now,
We have two right triangles.
∠WXY
WY² = WX² + XY² _____(1)
∠WYZ
WY² = WZ² + YZ² ______(2)
From (1) and (2) we get,
WX² + XY² = WZ² + YZ²
(2y + 7)² + (2x + 3)² = (5y - 8)² + (2x + 3)²
(2y + 7)² = (5y - 8)²
2y + 7 = 5y - 8
5y - 2y = 7 + 8
3y = 15
y = 5
Thus,
The value of y is 5
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What should be done first to simplify 11 – 2 + 7 + 5 – 8 + 13
Answer:
I think the first step is to group all the addition first and then you do the subtraction.
Answer:
Remember PEMDAS; parenthesis, exponents, multiplication, division, addition and subtraction.
Step-by-step explanation:
so ti will be;
2+7+5-8+13
27-8
21
BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!! BRAINLIEST!!!!!!BRAINLIEST!!!!
Answer:
C. x²+12x+36
Step-by-step explanation:
Since a square's area is figures out with [tex]length^{2}[/tex] and since the length is x+6, then we get:
(x+6)²=
(x+6)(x+6)=
Use FOIL method.
First: x²
Outer: 36
Inner: 6x
Last: 6x
x²+36+6x+6x=
x²+12x+36
The answer that fits is C. x²+12x+36.
Answer:
C. x²+12x+36
hope this helped
In a 30cm by 25cm rectangle, a quadrant of a circle of radius 7cm has been cut away from each corner. What is the perimeter of the part left? and also what is the area of the part left
Answer:
Perimeter = 98 cm
Area = 596 [tex]cm^{2}[/tex]
Step-by-step explanation:
Please refer to the attached image for the resultant figure when a quadrant of circle with radius 7 cm is cut from a rectangle of sides 30 cm and 25 cm.
Perimeter of a figure = Sum of all its sides + Perimeter of circle
Quadrant of a circle is one fourth of a circle and there are 4 such quadrant of a circle, so eventually there is one complete circle in this figure.
The sides of this resultant figure = 30 - 14 = 16 cm
and 25 - 14 = 11 cm
So perimeter of this figure = 16 + 11 + 16 + 11 + Perimeter of circle
[tex]\Rightarrow 54 + 2 \pi r\\\Rightarrow 54 + 2 \times \dfrac{22}{7} \times 7\\\Rightarrow 54 + 44 = 98 cm[/tex]
To find area of this figure = Area of rectangle - Area of circle
Area of rectangle = Length [tex]\times[/tex] Width
[tex]\Rightarrow 30 \times 25 = 750\ cm^{2}[/tex]
Area of circle = [tex]\pi r^{2}[/tex]
[tex]\Rightarrow \dfrac{22}{7} \times 7^{2} = 154\ cm^{2}[/tex]
So, area of figure = 750 - 154 = 596 [tex]cm^{2}[/tex]
What is the value angle marked x?
Answer: x =104
Step-by-step explanation:
If we draw the black line shown in the figure, two isosceles triangles are formed, and the base angles of the isosceles triangles are the same. The red angles are the same and the green ones too. The 104 degree angle is the sum of the red angle and the green angle, and x is also the sum of the red angle and the green angle, therefore x = 104.
VX
What is the value of x in the equation below?
-3-(-8)-(-2)
4-13
Answer: 0
I didn't see an 'x' so I was very confused but I simplified and got "0"
What is this problem
Answer:
[tex]m=A-\frac{2n}{Z}[/tex]
Step-by-step explanation:
Multiply by 2:
2n = Z(A - m)
Divide by Z:
[tex]\frac{2n}{Z} =A-m[/tex]
Subtract A:
[tex]-m=\frac{2n}{Z}-A[/tex]
Multiply by -1:
[tex]m=A-\frac{2n}{Z}[/tex]
136 degrees is the same as what radians
Answer:
34/45 pi
Step-by-step explanation:
To change from degrees to radians, multiply by pi/180
136 * pi/180
34/45 pi
A shirt originally cost $49.31, but it is on sale for $41.91. What is the percentage decrease of the price of the shirt? If necessary, round to the nearest percent.
Answer:
8%
Step-by-step explanation:
The Cost price is = 49.31
The Selling price is = 41.91
The profit is =-7.4
The percentage decrease of the price of the shirt is hence=
=41.31/49.31 * 100
= 8%
Hence, 8% is the percentage of the decrease of the price of the shirt.
log base 4 (x^2) - log base 4 (x)
Answer:
[tex] log_{4}( {x}) [/tex]
Step-by-step explanation:
[tex] log_{4}( {x}^{2} ) - log_{4}(x) \\ = log_{4} \bigg( \frac{ {x}^{2} }{x} \bigg )..(by \: quotient \: rule) \\ = log_{4}( {x}) \\ \\ \purple{ \boxed{ \bold{\therefore \: log_{4}( {x}^{2} ) - log_{4}(x) = log_{4}( {x}) }}}[/tex]
Calculate the final cost of a television if the price is $1700.00 and the tax is 3%.
[tex]answer = 1751\\ selling \: price = 1700 \\ tax \: percent = 3 \: percent \\ tax \: amount = tax \: percent \: of \: \: sp \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3 \: percent \: of \: 1700 \\ \: \: \: \: \: \: \: \: \: \: \: \: = 51 \\ \\ \: final \: cost = 1700 + 51 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1751 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
Answer:
$1751Step-by-step explanation:
Selling price
[tex]1700[/tex]
Tax percent
[tex]3\%[/tex]
Tax amount
[tex]1700 \times \frac{3}{100} \\ = 51 [/tex]
Final cost
[tex]1700 + 51 \\ = 1751[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Solve the equation. y + 6 = –3y + 26
Answer:
y = 5
Step-by-step explanation:
y + 6 = –3y + 26
Add 3y to each side
y+3y + 6 = –3y+3y + 26
4y +6 = 26
Subtract 6 from each side
4y+6-6 = 26-6
4y = 20
Divide by 4
4y/4 = 20/4
y = 5
The solution of y in the equation y + 6 = - 3y + 26 is,
⇒ y = 5
We have to given that;
Expression is,
⇒ y + 6 = - 3y + 26
Now, We can simplify as;
y + 6 = - 3y + 26
Add 3y to each side
y + 3y + 6 = - 3y + 3y + 26
4y + 6 = 26
Subtract 6 from each side
4y + 6 - 6 = 26 - 6
4y = 20
Divide by 4
4y/4 = 20/4
y = 5
Thus, The solution of y in the equation y + 6 = - 3y + 26 is,
⇒ y = 5
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pencils are sold in boxes of 10
erasers are sold in boxes of 14
A teacher wants to but the same number of pencils and erasers.
work out the smallest number of boxes of each item she should by.
Pencils:
Erasers:
Answer:
Pencils: 7 boxes
Erasers: 5 boxes
Step-by-step explanation:
She should buy 70 pencils and 70 erasers.
There are 7 pencil boxes for 70 pencils.
There are 5 eraser boxes for 70 erasers.
These are the smallest number of boxes she can buy without getting a fraction of a box.
Lin’s family has completed 70% of a trip. They have traveled 35 miles. How far is the trip?
Answer:
35/70*100 = 50 miles
Step-by-step explanation:
A rocket is launched at t=0 seconds. Its height, in meters above sea-level, as a function of time is given by h(t)=−4.9t2+100t+325. What is the independent variable and its units? ______ (meters, seconds, meters per second, or seconds per meters) - select the correct units What is the dependent variable and its units? _______ (seconds or meters) - select the correct units
Answer:
see below
Step-by-step explanation:
h(t)=−4.9t2+100t+325.
The independent variable is the one that we change
t which is in seconds
The dependent variable is the result
h(t) which is in meters
2.
85, 78, 82, 76, 89, 77, 78, 42, 83, 84, 87, 85, 78
What effect does the outlier have on the mode of this data?
1. The mode increases.
2. The mode decreases.
3. The mode cannot be calculated.
4. The mode remains the same.
Answer:
the mode remains the same
Step-by-step explanation:
42 is outlier.
mod is the most repetitive number of a number string, and outlier does not change it.
the mode remains the same.
find a coordinate of B' after a 180° rotation of the triangle about the origin and then a reflection about the x = 2.
Answer:
B' = (5, -4)
Step-by-step explanation:
The picture is illegible, but we think B is (1, 4).
After rotation 180°, both coordinates are negated, so the point is ...
B" = -(1, 4) = (-1, -4)
After reflection across x=2, the x-coordinate is subtracted from 2·2 = 4:
B' = (4 -(-1), -4)
B' = (5, -4)
Find the value of x which would make line A parallel to line B
Answer:
35
Step-by-step explanation:
2 lines are parallel if 5x-54 was equal to 3x+16 so
5x-54=3x+16
5x-3x=54+16
2x=70
x=35
40 as a product of its prime factor can be written like this 40=2x2x2x5 write 60 as a product of its prime factor write in order smallest to larges
Answer:
2^2x3x5
Step-by-step explanation:
-5/3 x(-1/8)weurEzzrtx
Answer:
-5/3 x (-1/8 )= 5/24 = 0.2083333
Step-by-step explanation:
i suck at geo please help
Answer:
It's B
Step-by-step explanation:
Because you see a reflection would show the traingle flipped translation would mean the traingle is in a totally different space and rotation would mean the shape is rotated and so B is left and so B is the correct answer.
Find the midpoint of the segment with the given endpoints.
(-1,-1) and (10,4)
[tex]answer \\ = (4.5 , 1.5) \\ please \: see \: the \: attached \: picture \\ for \: full \: solution \\ hope \: it \: helps[/tex]
A line passes through the points (7, 10) and (7, 20). Which statement is true about the line? It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero. It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero. It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero. It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
Answer:
It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
Step-by-step explanation:
Points:
(7, 10) and (7, 20)Slope-intercept form:
y= mx+bslope is:
m= (y2-y1)/(x2-x1)= (20-10)/(7-7)= 10/0,denominator of the fraction is zero, we can't divide by zero, so this line has no slope
----------
It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.
no, numerator is not zeroIt has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
no, it has no slopeIt has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.
no, numerator is not zeroIt has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
yesAnswer:
D;
Step-by-step explanation:
It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
What is the answer to this question 5 x 2/5 =?
Answer:
2
Step-by-step explanation:
5 * 2/5
Rewriting
5/1 * 2/5
5/5 *2/1
1*2
2
Answer:
The answer is 2
Step-by-step explanation:
The perimeter of a square is 48 cm. What is the area in square
centimetres?
2 points
Answer:
144cm²
Step-by-step explanation:
