Answer:
Hello the answer would be A units up because my caluaitons Sense that it is A
A rectangle has sides measuring (12x - 2) units and (x + 8) units.
Part A: What is the expression that represents the area of the rectangle? Show your work. (5 points)
Part B: What is the expression that represents the perimeter of the rectangle? Show your work. (5 points)
Part C: What are the degree and classification of the expression obtained in Part A? (3 points)
The area equation is:
A = (12x - 2)*(x + 8)
Which is a polynomial of degree 2, and the perimeter is:
P = 26x + 12
How to write the area of the rectangle?
Remember that for a rectangle of length L and width W, the area is written as:
A = L*W
Here we know that:
L = (12x - 2)
W = (x + 8)
Then the equation for the area is:
A = (12x - 2)*(x + 8).
How to write the perimeter?For a rectangle of length L and width W, the perimeter is:
P = 2*(L + W).
Replacing what we know, we get:
P = 2*(12x - 2 + x + 8) = 2*(13x + 6) = 26x + 12
What are the degree and classification of the area equation?The area equation is:
A = (12x - 2)*(x + 8).
Notice that this is a polynomial that is made of the product of two polynomials of degree 1, so this is a polynomial of degree 2.
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By cross multiplication find x and y if
ax + by = a² + b² and bx - ay = 0
[tex] \bold{\underline{\underline{\underbrace{Answer}}}} [/tex]
x = a and y = b
Step-by-step explanation:
To findThe value of x and y
⠀
Givenax + by = a² + b² (equation 1)
bx - ay = 0 (equation 2)
⠀
Solution{Taking equation 2}
[tex] \sf bx - ay = 0 [/tex]
{Taking ay on RHS}
[tex] \sf bx = ay[/tex]
{Dividing both sides by a}
[tex] \sf \frac{bx}{a} = y(equation \: 3)[/tex]
{Now substituting the equation 3 in equation 1}
[tex] \sf ax + b( \frac{bx}{a} ) = {a}^{2} + {b}^{2} \\ \\ \sf ax + \frac{ {b}^{2} x}{a} = {a}^{2} + {b}^{2} [/tex]
{Taking LCM on LHS}
[tex] \sf \frac{ {a}^{2}x + {b}^{2} x }{a} = {a}^{2} + {b}^{2} \\ \\ \sf \frac{x( {a}^{2} + {b}^{2}) }{a} = ( {a}^{2} + {b}^{2} )[/tex]
{Dividing by (a² + b²) both sides}
[tex] \sf \frac{x}{a} = 1 \\ \\ \green{\boxed {\tt{x = a} } }[/tex]
{Now substituting the value of x in equation 3}
[tex] \sf \frac{ba}{a} = y \\ \\ \green {\boxed{ \tt{y = b}} }[/tex]
Find the equation of the line using the point-slope formula. Write the final equation using the slope-intercept form. (x, y) = (−2, 10) and (x, y) = (4, −8) are points on the line
♪ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ♪
[tex]\textsc{heya!}[/tex]
☑︎ what we need to do:
find the equation of the line☑︎ what we are provided with:
two points on this line[tex]\textsc{solution:}[/tex]
equation: y=-3x+4[tex]\textsc{explanation:}[/tex]
first, these are the points on our line:
• (-2, 10) • (4, -8)
what we need at this moment is the gradient (slope) of the line.
remember, there's a little formula that will help us find the gradient:
[tex]\large\text{$\displaystyle\frac{y_2-y_1}{x_2-x_1}$}[/tex]
our values are:
• (-2, 10) and (4, -8)
after substituting the values into the above formula, we obtain
[tex]\large\text{$\displaystyle\frac{-8-10}{4-(-2)}$}[/tex]
after simplifying, we obtain
[tex]\large\text{$\displaystyle\frac{-18}{4+2}$}[/tex]
simplifying more,
[tex]\large\text{$\displaystyle\frac{-18}{6}$}[/tex]
dividing,
[tex]\large\text{$-3$}[/tex]
but that's only part of our problem. we need to find the equation, and we have the gradient only.
let's use the first point in our equation
• (-2, 10)
[tex]\large\text{$y-y_1=m(x-x_1)$}[/tex]m is the gradient.
this is what we obtain after substituting the values
[tex]\large\text{$y-10=-3(x-(-2)$}[/tex]
simplifying
[tex]\large\text{$y-10=-3(x+2)$}[/tex]
simplifying more
[tex]\large\text{$y-10=-3x-6$}[/tex]
moving 10 to the right side
[tex]\large\text{$y=-3x-6+10$}[/tex]
and finally
[tex]\large\text{$y=-3x+4$}[/tex]
[tex]\textsc{hopefully\:helpful}[/tex]
by: • [tex]\textsc{$d^an_ci^ng$}[/tex]
[tex]\textsc{have\:a\:great\:rest\:of\:your\:day\:ahead!}[/tex]
A regular-size box of dog treats measures 314 inches by 712 inches by 12 inches. The manufacturer also sells a small-size box that has a volume that is 310 of the volume of the regular-size box.
What is the volume of the small-size box of dog treats?
Enter your answer as a mixed number in simplest form by filling in the boxes.
(its going to be a mixed number) in³
The volume of the small-size box of dog treats will be equal to V=8654.24 In³
What is volume?Volume is defined as the space occupied by any body in the three-Dimensions. All three parameters are required for the volume like length,width and height of the cube or Cuboid
The volume of the rectangular box will be:-
V=LxWxH
V=314x712x12
So the volume of small size box will be:-
V=2682816÷310=8654.24
Hence the volume of the small-size box of dog treats will be equal to
V=8654.24 In³
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please help will mark Brainliest!!
[tex]~~~~~~x+80^{\circ} = 180^{\circ}\\\\\implies x = 180^{\circ} - 80^{\circ}\\\\\implies x = 100^{\circ}[/tex]
A quarterback is standing on the football field preparing to throw a pass. His receiver is standing 20 yards down the field and 15 yards to the quarterback’s left. The quarterback throws the ball at a velocity of 60 mph towards the receiver at an upward angle of 30° (see the following figure). Write the initial velocity vector of the ball ⃑ , in component form.
Answer:
I did the work and uploaded the answer as a picture for you
I hope it was helpful!!
Step-by-step explanation:
Look at the street map. What street intersects with Polk Street?
A. Union Street
B. Church Street
C. Geary Street
D. Fulton Blvd.
Answer:
Geary street :D
they intersect here
click on the photo. it's not a link it's a screenshot of where they intersect
The ratio of cats to dogs at the veterinarian is 21:39. What percent of the total animals are cats?
Answer:
35%
Step-by-step explanation:
Assuming that there are no other animals in the vet other than dogs and cats, that means the total amount of animals is 21 + 39, which is 60 animals. To find the percent of cats, simply place the number of cats based on the ratio (21) over the total number of animals (60) and multiply by a 100:
21/60 = 0.35
0.35 x 100 = 35%
Hope this helps!!
Answer:
35%.
Step-by-step explanation:
Fraction that are cats = 21 / (21+39)
= 21/60
= 100 * 21/60
= 35%.
Bao owns a small business selling used books. She knows that in the last week 60 customers paid cash, 3 customers used a debit card, and 27 customers used a credit card.
Based on these results, express the probability that the next customer will pay with a credit card as a fraction in simplest form.
Answer:
It would be a 3/10 or 30% chance.
Answer:
Step-by-step explanation:
3/10 or .30 or30%
You earn $1,600 per pay period. Your deductions are $110, $66, and $14. What is your net pay?
Answer:
Your net pay is
[tex]$1410[/tex]
Step-by-step explanation:
All we have to do is add the deductions and then subtract them from what your earn.
[tex]1600 - (110 + 66 + 14) = \\ 1600 - 190 = 1410[/tex]
10. The following measurements from yaw marks left at the scene of an accident were taken by law
enforcement officers. Using a 31-ft-long chord, the middle ordinate measured approximately 3
ft. The drag factor for the road surface is 1.02.
a. Determine the radius of the yaw mark to the nearest tenth of a foot.
1
Determine the minimum snood that it
The radius of the yaw mark to the nearest tenth of a foot is 11.2 ft
The minimum speed 11.1634 miles per hour.
What is Yaw mark?Yaw marks are always curved. They are, initiated by a steering input. They're what's left from a tire that is still rolling but is simultaneously sliding laterally.
The formula for determining radius from a chord and middle ordinate is
[tex]r^{2}= \frac{c^{2}}{8m}+\frac{m}{2}[/tex]
To find the radius of the yaw mark, we have to use the formula
[tex]r^{2}= \frac{c^{2}}{8m}+\frac{m}{2}[/tex]
where c is the length of the chord and m is the middle ordinate
As the tires leave a yaw mark with a 31 foot chord and a middle ordinate of 3 feet.
So,
[tex]r^{2}= \frac{31^{2}}{8*3}+\frac{3}{2}[/tex]
[tex]r^{2}= 40.041 +1.5\\r^{2}=41.541[/tex]
Now to find the minimum speed, we are going to use the formula: [tex]s=\sqrt{15fr}[/tex]
where 'f' is drag factor and 'r' is the radius
drag factor is 0.2, f=0.2
and r= 41.541 ft
So, [tex]s=\sqrt{15* 0.2*41.541}\\s=\sqrt{124.623}\\s= 11.1634 mph[/tex]
The minimum speed before the brakes are applied was 11.1634 miles per hour.
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Find the fourth derivative of f(x)=3^x+ln(x)-108x. f(4)(x)=
[tex]f(x) = 3^x + \ln x -108 x\\\\f'(x) = 3^x \ln 3 + \dfrac 1x - 108\\\\f''(x) = 3^x \cdot 0+ \ln 3\cdot 3^x\cdot \ln (3)-x^{-1-1}-0= 3^x \cdot \ln^2 3 -x^{-2}\\ \\f'''(x) = 3^x \cdot 0 + \ln^2 (3) \cdot 3^x \cdot \ln (3) +2x^{-2-1} = 3^x \ln^3 (3)+2x^{-3}\\\\f''''(x) = 3^x \cdot 0 + \ln^3 (3) \cdot 3^x \ln(3) -3\cdot 2 x^{-3-1} = 3^x\ln^4 (3)-6x^{-4} \\\\\text{Hence the fourth derivative of f(x) is}~~ 3^x\ln^4 (3)-6x^{-4}.\\\\[/tex]
[tex]\textbf{Note:}\\\\\dfrac{d}{dx}(uv) = u \dfrac{dv}{dx} + v\dfrac{du}{dx}\\\\\dfrac{d}{dx} \ln (x) = \dfrac 1x\\\\\dfrac{d}{dx} a^x = a^x \ln a\\\\\dfrac{d}{dx} x^n = nx^{n-1}\\\\\dfrac{d}{dx} (\text{Constant}) = 0[/tex]
What is the discriminant of the quadratic equation 2x + 5x = 1?
0-18
0-16
022
24
The discriminant of the quadratic equation 2x + 5x2 = 1 is 24.
--
Use this formula
b²-4acPlug in
You get 24
Answer:
24
Step-by-step explanation:
Discriminant
b² - 4ac (when ax² + bx + c = 0)
Assuming the given equation is: 2x + 5x² = 1
Rewrite the equation so that it equals zero:
⇒ 5x² + 2x - 1 = 0
Therefore, a = 5 b = 2 c = -1
Input these into the discriminant formula and solve:
⇒ 2² - 4(5)(-1) = 4 + 20
= 24
Therefore, the discriminant of the quadratice equation is 24.
Please help me my friends
What is the perimeter of this rectangle?
The length and width of the rectangle will be √68 and √17. Then the perimeter of the rectangle will be 2 (√17 + √68).
What is a rectangle?It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
The graph is shown below.
Then the perimeter of the rectangle will be
P = 2 (length + width)
The length of the rectangle will be
L² = 2² + 8²
L² = 4 + 64
L² = 68
L = √68
The width of the rectangle will be
W² = 1² + 4²
W² = 1 + 16
W² = 17
W = √17
Then the perimeter will be
P = 2 (√17 + √68)
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Pls help me with this
Let's find the area!!
«------«----------»----------»
2 × 5 + 2 × 5 + 3 × 210 + 10 + 620 + 626«------«----------»----------»
Therefore, your answer is D. 26cm^2!!!!!
Jack's bicycle has a mass of 9 kilograms. What is the
mass of Jack's bicycle in grams?
Answer:
9000 grams
Step-by-step explanation:
1 kg = 1000 g
1 * 9 kg = 1000 * 9 g
9 kg = 9000 g
A rectangular park has a perimeter of 374 feet and a length of 65 feet.
What is the width of the park?
Answer:
122 feet
Step-by-step explanation:
We know that the length of the park is 65 feet long and the park is rectangular. Therefore we add 65+65 to find the total of both length sides.
65+65=130
Next we subtract 130 from the total amount of 374 to find the total of both width sides.
374-130=244
Now we divide what is left by 2 to find the width of an individual side.
244÷2=122
The width is 122.
Check your answer by inserting the numbers into the equation for perimeter.
P=2W+2L
374=(2×65)+(2×122)
374=130+244
374=374
To identify the density of a figurine made using an unknown material, the figurine is dropped into a basin filled with water and found to displace 184.8 mL of water. The figurine is then put on a scale and found to be 3.8 pounds in weight. What is the density of the material that this figurine was made from in pounds/inch^3? (Note: 1 mL = 0.0610237 inch^3
Step-by-step explanation:
here you go hopw it helps you
Juan went to the store to buy a plant for his mother, but forgot to ask which kind to get. Out of 30 plants, nine of them are a kind that his mother would want. If Juan chooses one randomly, what is the probability that he will choose a kind that his mother would want?
A. 40%
B. 30%
C. 0.3%
D. 9%
Answer:
B
Step-by-step explanation:
because 30% out of 30 is 9
Need help asap thanks
Hey there!
Answer :[tex] \displaystyle{ \red{ \boxed{ \green{ \bold{m = - 1}}}}}[/tex]
[tex] \\ [/tex]
Explanation:To find the slope of a line using two points [tex] \displaystyle{(x_1 , y_1)} [/tex] and [tex] \displaystyle{(x_2 , y_2)} [/tex] , we can use the slope formula.
This formula corresponds to the quotient of the change in y [tex] \: [/tex] over [tex] \: [/tex] the change in x :
[tex] \displaystyle{m = \frac{ \blue{y_2} - \orange{y_1}}{ \green{x_2} - \red{x_1} }}[/tex]
[tex] \\ [/tex]
[tex] \hookrightarrow [/tex] We are given the points (-2 , 3) and (-5 , 6) where:
[tex] \red{x_1} [/tex] = -2 [tex] \orange{y_1} [/tex] = 3[tex] \green{x_2} [/tex] = -5[tex] \blue{y_2} [/tex] = 6[tex] \\ [/tex]
[tex]\displaystyle{ \hookrightarrow m = \frac{\blue{6} - \orange{3}}{\green{-5} - \red{(-2)}}} \\ \\ \displaystyle{\implies m=\frac{3}{-3}} \\ \\ \displaystyle{\purple{\implies} \boxed{\bold{m=-1}}}[/tex]
Therefore, the slope of the line is -1.
[tex] \\ [/tex]
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Find the value of y that satisfies the given conditions. Then graph the line on a separate sheet of paper. The line containing (−4, 9) and (4, 3) is parallel to the line containing (−8, 1) and (4, y).
Answer:
so first do nothing and just fail health class
The value of y that satisfies given conditions is y = - 8.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
We also know that slope(m) = (y₂ -y₁)/(x₂ - x₁).
So, lines parallel to each other have the same slope hence to find the value of y we'll equate their slopes.
∴ (3 - 9)/(4 + 4) = (y - 1)/(4 + 8).
-6/8 = (y - 1)/12.
-3/4 = (y - 1)/12.
-36/4 = y - 1.
- 9 = y - 1.
y = - 8.
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What is this a picture of
Answer:
inscribed angle
Step-by-step explanation:
That is an inscribed angle in a circle ....
Answer:
inscribed angle
Step-by-step explanation:
The vertex (point, corner) of the angle is ON the circle, this is an inscribed angle.
A marble is 2 centimeters long. A rock is 75% longer than the marble. How long is the rock?
Answer:
3.5 centimeters
Step-by-step explanation:
75% of 2 cm = .75 x 2 = 1.5 cm
2 cm + 1.5 cm = 3.5 cm
The probabilities for four different simple events are given. Of the four, which is LEAST LIKELY to occur?
Question 1 options:
0.01
0.35
0.5
0.9
Answer:
Step-by-step explanation:
We are supposed to find the least likely, which means we are looking for the smallest number.
.9 is the largest
.5 is next
.35 is second to smallest
A is the answer 0.01
Still stuck? Get 1-on-1 help from an expert tutor now.
What expression is equivalent to
27+2 x 32
Answer:
well when its simplyfied its 91
Step-by-step explanation:
27 + 64 mutipliction first
27 + 64 = 91
Please help, I'm so confused with this. Attached is a picture
Answer:
Interquartile Range
Step-by-step explanation:
The answer is the interquartile range because there is an outlier.
The data has an extreme value, of 62, so the IQR is most appropriate for this data set. The only other time the IQR is appropriate is when the data is skewed.
help me with this for 50 points.
Answer:
1/2 or 1:2
Step-by-step explanation:
3 circles to 6 squares
3/6 simplified is 1/2
Give me the right answer this time pls ♥️.
Answer:
10 and please:
please see photo for detailed analysis
Question 4 of 10
If a tree diagram were drawn to determine the number of possible outcomes
when choosing one of 3 salads, one of 5 entrées, and one of 9 desserts, how
many leaves would there be?
O A. 17
OB. 45
C. 135
What is 6 + pi + 7 to the 6th power. ( 6 + 3.14 + 7 + 7^6)
Hey there!
(6 + 3.14 + 7 + 7^6)
= 6 + 3.14 + 7 + 7^6
= 9.14 + 7 + 7^6
= 16.14 + 7 * 7 * 7 * 7 * 7 * 7
= 16.14 + 49 * 49 * 49
= 16.14 + 2,401 * 49
= 16.14 + 117,649
= 117,665.14
Therefore, the answer should be:
117,665.14
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)