[tex]\stackrel{origin}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{0})}\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{0}}}\implies \cfrac{-5}{-2}\implies \cfrac{5}{2}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{\cfrac{5}{2}}(x-\stackrel{x_1}{0})\implies y=\cfrac{5}{2}x[/tex]
A rectangular farm has an area of 58
square miles. If its length is 19
miles, what is its width?
Input your answer as a fraction.
Answer: 58/19 or 3¹/119
Step-by-step explanation: Area = 58
Length is 19 Width is Area/ Length
help my little sister
Answer:
The answer would be 48 cm^2
Step-by-step explanation:
You have to do 9x4 and then add 6x2 to that.
9x4 is 36 and 6x2 is 12.
36+12 is 48. Hope this helps! :)
Answer:
The answer would be 48 cm^2
calculate the total perimeter and area of the shaded ring
Answer:
be specific
Step-by-step explanation:
which shaded eing
What's the circumference of a circle with a diameter of 25 inches
What is the VOLUME of this figure?
9 cm
7 cm
8 cm
10 cm
12 cm
Answer:
1390 cm^3
Step-by-step explanation:
9 x 7 x 10 = 630 cm^3 for the rectang prism top
area * 10 for the bottom
8 x ( 12 + 7)/2 * 10 = 760 cm^3 for the trap base
total = 1390 cm^3
Need ASAP!
What is the exact value of TanA
Answer:
See below
Step-by-step explanation:
Ina right traingle tan (angle) = (opposite side) / (adjacent side)
So tan A = sqrt (161)/8 exactly
Form a quadratic function f(x) for which f(1)=0, f(−1)=−4, and f(2)=5.
Answer:
[tex]f(x)=x^2+2x-3[/tex]
Step-by-step explanation:
[tex]\textsf{General form of a quadratic function}:f(x)=ax^2+bx+c[/tex]
Equation 1
[tex]\begin{aligned}f(1) &=0\\ \implies a(1)^2+b(1)+c &=0\\ a+b+c &=0 \end{aligned}[/tex]
Equation 2
[tex]\begin{aligned}f(-1) &=-4\\ \implies a(-1)^2+b(-1)+c &=-4\\ a-b+c &=-4 \end{aligned}[/tex]
Equation 3
[tex]\begin{aligned}f(2) &=5\\ \implies a(2)^2+b(2)+c &=5\\ 4a+2b+c &=5 \end{aligned}[/tex]
Add Equation 1 and Equation 2:
[tex]\begin{array}{r l}a+b+c & =0 \\+\quad a-b+c & =-4 \\\cline{1-2} 2a+2c & =-4 \end{array}[/tex]
[tex]\implies a+c=-2[/tex]
Substitute [tex]a+c=-2[/tex] into Equation 1 and solve for b:
[tex]\begin{aligned}\implies a+b+c &=0\\ b-2 &=0\\ b &=2\end{aligned}[/tex]
Substitute [tex]a=-2-c[/tex] and [tex]b=2[/tex] into Equation 3 and solve for c:
[tex]\begin{aligned} \implies 4a+2b+c&=5\\ 4(-2-c)+2(2)+c &=5\\-8-4c+4+c &=5\\ -3c &=9\\ c &=-3\end{aligned}[/tex]
Substitute found value of c into [tex]a=-2-c[/tex] and solve for a:
[tex]\implies a=-2-(-3)=1[/tex]
Therefore, a = 1, b = 2 and c = -3
Substitute the found values into the general form of a quadratic function to form the final equation:
[tex]f(x)=x^2+2x-3[/tex]
24. Find the area of the shaded region:
Answer:
A = 5x³ + 17x² - 35x - 30
Step-by-step explanation:
the shaded area (A) is calculated as
A = outer area - inner area
= (5x + 3)(x² + 4x - 10) - 3x(2x - 1) ← distribute parenthesis
= 5x³ + 20x² - 50x + 3x² + 12x - 30 - (6x² - 3x)
= 5x³ + 23x² - 38x - 30 - 6x² + 3x ← collect like terms
= 5x³ + 17x² - 35x - 30
Answer:
5x^3+ 17x^2- 35x-30 Or x=-4.63 or 1.9
Step-by-step explanation:
Area of rectangle =L×B
for smaller rectangle :
after applying the formula, the equation becomes:
6x^2 - 3x
For bigger rectangle:
Applying the same formula, the equation becomes:
5x^3+ 23x^2- 38x- 30
Area of shaded region =
Area of bigger rectangle- Area of smaller rectangle
= 5x^3+17x^2 -35x-30
going further solving the above equation
Area of shaded region: -4.96 or 1.9
Larissa is planning for a trip that will cost $2,145. She has $952.50 saved and is going to set aside ½ of her weekly salary from her part-time job. Larissa earns $265 per week. How many weeks will it take her to earn the rest of the money needed for the trip? With work shown
Answer:
9 weeks :)
Step-by-step explanation:
First we subtract :)
2145 - 952.50 = 1192.50
Now we divide :)
265/2 = 132.5
Now we divide 1 more time :)
1192.50/132.50 = 9
It will take 9 weeks :)
Have an amzing day!!
Please rate and mark brainliest!!
Find the surface area of the cone in terms of pi. 15cm 3cm
Please help ASAP! 5th grade math, will give brainliest! (No clue what I’m doing so please show your work on both of these)
Answer:
2 2/5 (For the word problem)
For the graph (In order)
4/5
1 1/4
12/30 (Or 2/5)
2 6/12 (or 2 1/2)
Step-by-step explanation:
1:
12 pounds make 5 pies, turn it into a fraction.
12/5
Now turn it into a mixed number. How many fives can go into 12?
Two fives equal ten, subtract it from twelve. Bring the amount of fives to the left.
2 2/5
2: Oh, that's really easy.
Four divided by five is 4/5
Five divided by four is 5/4 which as a mixed number is 1 1/4
3: 12 divided by thirty is 12/30, you can simplify it by dividing both sides of the denominator by three, then two. But if it's not required then just don't 12/30
4: 30 divided by 12 is 30/12, how many twelves can go into 30? Two.
30 - 24 = 6
2 6/12
Complete the two column proof
Given angle to an angle five are supplementary
Prove: I || m
Answer:
Step-by-step explanation:
4. The statement abc = cab is an example of which property of multiplication?
a. Commutative
b. Inverse
c. Identity
d. Associative
Answer:A, commutative
Step-by-step explanation: The commutative property of multiplication states that
the order in which we multiply numbers does not change the product.
Answer:
A. Commutative
Step-by-step explanation:
I believe it's a because you didn't use +/- so I assumed it was multiplication in which case, the commutative property of multiplication, which states that the order we multiply in does not affect the product.
I WILL MARK BRAINLIEST
Find the third fourth and eleventh terms of the sequence described by the rule A(n)=-2+(n-1)(5)
Answer:
8,13,48
Step-by-step explanation:
Third = A(3) = -2 + (3-1)(5) = -2 + 10 = 8
Fourth = A(4) = -2 +(4-1)(5) = -2 + 15 = 13
Eleventh = A(11) = -2 + (11-1)(5) = -2 + 50 = 48
Suppose that 15% of the population have cancer, 50% of the population smokes, and 75% of those with cancer smoke. What fraction of smokers have cancer
Answer:
90/140.
Step-by-step explanation:
75 + 15 = 90. Then 90 + 50 is 140.
what is y 12y - 19= 6y+1=
Answer:
Y= 10/3 or 3.333....Step-by-step explanation:
12y-19= 6y+1
12y-6y = 1 +19
6y = 20
y = 20/6
y= 10/3 or 3.33..
HAVE A NICE TIME :)pls give a brainliest if it is CORRECT
The volume of a right cone is 27\piπ units^3
3
. If its height is 9 units, find its circumference in terms of \piπ.
that is the circumference of its circular base.
[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=9\\ V=27\pi \end{cases}\implies 27\pi =\cfrac{\pi r^2 (9)}{3}\implies 27\pi =3\pi r^2 \\\\\\ \cfrac{27\pi }{3\pi }=r^2\implies 9=r^2\implies \sqrt{9}=r\implies \underline{3=r} \\\\[-0.35em] ~\dotfill\\\\ \textit{circumference of a circle}\\\\ C=2\pi r\qquad \qquad \qquad C=2\pi (\underline{3})\implies C=6\pi[/tex]
The circumference of the cone will be;
⇒ 6π
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The volume of a right cone = 27π units³
And, The height = 9 units
Now,
Since, We know that;
The volume of cone = πr²h / 3
⇒ 27π = π × r² × 9 / 3
⇒ 27 = r² × 3
⇒ r² = 27/3
⇒ r² = 9
⇒ r = 3
Since, The circumference of the cone = 2πr
= 2 × π × 3
= 6π
Learn more about the mathematical expression visit:
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charlotte buys a rectangular rug with an area of 27/4 sqaure meters. The midth of the rug is 3/2 meters. What is the length, in meters, of the rug?
charlotte buys a rectangular rug with an area of 27/4 square meters.
The width of the rug is 3/2 meters. So the length of the rectangular rug is 9/2 meters.
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
charlotte buys a rectangular rug with an area of 27/4 square meters.
The width of the rug is 3/2 meters.
Area of the rectangular rug = 27/4 square meters
Let us assume the length of the rug = x meters
Then,
Area of the rug = length × Width
[tex]27/4 = (3/2) \times x\\\\x = (27/4) \times (2/3) \\x = 9/2[/tex]
So the length of the rectangular rug is 9/2 meters.
Learn more about the area;
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a
A circle has a center of (-6,0) and passes
through the point (-1,3). What is its radius?
Answer: 10
Step-by-step explanation:
Given that a circle has the center at
(6.0) and the circle passes through the point (2,−3).So the distance between these two points will give us the measure of the radius.So(x1,y1)=(6
So by using the distance formula the radius of the given circle is-r=√(x2−x1)2+(y2−y1)2r=√(2−6)2+(−3−0)2r=√16+9r=√25=5 unitsSo the diameter of the given circle is=2rd==2(5)d=10units
Let's see
Find distance between these points and radius
√(x_1-x_2)²+(y_1-y_2)²√(-6+1)²+(0-3)²√(-5)²+(-3)²√25+9√34 unitsWhich equation correctly uses the law of cosines to solve for the missing side length of trianglepqr? 62 = p2 82 – 2(p)(8)cos(39°) p2 = 62 82 – 2(6)(8)cos(39°) 82 = 62 p2 – 2(6)(p)cos(39°) p2 = 62 62 – 2(6)(6)cos(39°)
The equation that correctly uses the law of cosines to solve for the missing side length of trianglepqr is 8^2 = 7^2 +11^2 - 2(7)(11) cos <P
The cosine rule formulaFor us to use the cosine formula, an angle must be situated between two sides of the triangle.
According to the rule;
c^2 = a^2 + b^2 - 2ab cos C
From the given diagram, if cos<P is the reference angle, then;
a = 11
b = 7
c = 8
Substiute
8^2 = 7^2 +11^2 - 2(7)(11) cos <P
Hence the equation that correctly uses the law of cosines to solve for the missing side length of trianglepqr is 8^2 = 7^2 +11^2 - 2(7)(11) cos <P
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When rotating the figure you turn it around at a point this can be any coordinate point like the origin which is at?
Answer:
Yes, if you know the coordinates of a point PP in your original figure as (x,y)(x,y), you can figure out the coordinates of PP following rotation and given by (x′,y′)(x′,y′) as
x′=−yx′=−y
y′=xy′=x
Tell whether the relation is a function. Explain your reasoning.
{(-1, 7), (9, 4), (3, -2), (5, 3), (9, 1)}
Math and experimental probability for this irrady stuff………
Answer:
so whats the question now?
Step-by-step explanation:
A triangular prism is 9 feet long. It has a triangular face with a height of 11.3 feet. The volume of the prism is 498.33 cubic feet. What is the base of its triangular face?
Answer:
9.8 feet
Step-by-step explanation:
let area of triangular base be A square feet.
volume of prism = A x height(or length in this case)
498.33 = A x 9
A = 498.33 / 9 = 1/2 x 11.3 x base
...
thus, base = 9.8 feet
What value of x makes the equation true?
[tex]2(x - 9) = 9 \div ( - \frac{1}{3} ) \\ [/tex]
[tex]2(x - 9) = 9 \times ( - 3)[/tex]
[tex]2(x - 9) = - 27[/tex]
[tex] \frac{2(x - 9)}{2} = \frac{ - 27}{2} \\ [/tex]
[tex]x - 9 = - 13.5[/tex]
[tex]x - 9 + 9 = - 13.5 + 9[/tex]
[tex]x = - 4.5[/tex]
Thus option B is the correct answer.
100 Points!!!
Polynomial Identities
Part 1. Pick a two-digit number greater than 25. Rewrite your two-digit number as a difference of two numbers. Show how to use the identity (x − y)2 = x2 − 2xy + y2 to square your number without using a calculator.
Part 2. Choose two values, a and b, each between 8 and 15. Show how to use the identity a3 + b3 = (a + b)(a2 − ab + b2) to calculate the sum of the cubes of your numbers without using a calculator.
Let's see
#a
Take 28
(28)²(30-2)²30²-2(30)(2)+2²900-120+4780+4784#2
Take 9,10
9³+10³(9+10)(9²-9×10+10²)(19)(81-90+100)19(181-90)19(91)1729Answer:
Two-digit number greater than 25: 32
Rewrite 32 as the difference of 2 numbers: 40 - 8
Therefore, x = 40 and y = 8
[tex]\begin{aligned}\implies (40-8)^2 & =40^2-2(40)(8)+8^2\\ & = (4 \cdot 10)^2-(80)(8)+64\\ & = 4^2 \cdot 10^2-640+64\\ & = 16 \cdot 100-640+64\\ & = 1600-640+64\\ & = 960+64\\ & = 1024\end{aligned}[/tex]
Let a = 10
Let b = 11
[tex]\begin{aligned}\implies 10^3+11^3 & =(10+11)(10^2-10 \cdot 11+11^2)\\& = 21(100-110+121)\\ & = 21(-10+121)\\ & = 21(111)\\& = 21 (100 + 10 + 1)\\ & = (21 \cdot 100)+(21 \cdot 10)+(21 \cdot 1)\\ & = 2100 +210+21\\ & = 2310 + 21\\ & = 2331\end{aligned}[/tex]
A part of linear function g is graphed on the grid.
Which inequality best describes the domain and range of the part shown?
By looking at the graph, we can see that:
Domain: -7 ≤ x ≤ 6Range: -4 ≤ y ≤ 5.How to find the domain and range of a function?For a function:
y = f(x)
We define the domain as the set of the possible inputs x, and the range as the set of the possible outputs y.
Here, to find the domain, we need to see the range of "horizontal values" that the graph takes. We can see that it goes from -7 to 6, then the domain is:
-7 ≤ x ≤ 6
The range goes from -4 to 5, so the range is: -4 ≤ y ≤ 5.
Then the correct option is the first one.
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What is the value of p?
HELP PLEASE ILL GIVE BRAINLEST IF U HELP QUICK
[tex]\qquad\qquad\displaystyle \huge Answer[/tex]
Let's check if (3 , 6) is the point of intersection of the given lines ~
[tex] \qquad \displaystyle \: y = 4x - 2[/tex]
and
[tex] \qquad \displaystyle \: y = \frac{1}{2} x + 5[/tex]
If the point is the point of intersection of these two lines, then it should satisfy both the equations ~
let's try each of them, using x coordinate of point.
[tex] \qquad \displaystyle \: y = 4(3) - 2[/tex]
[tex] \qquad \displaystyle \: y = 12 - 2[/tex]
[tex] \qquad \displaystyle \: y = 10[/tex]
So, the point didn't actually satisfy one of the equation. hence we can infer that the given statement is wrong.