gradient of L = -7/4
Explanation:
[tex]\sf gradient = \dfrac{y_2-y_1}{x_2-x_1}[/tex]
Insert the following values.
[tex]\rightarrow \sf \dfrac{2-(-5)}{1-5}[/tex]
[tex]\rightarrow \sf \dfrac{7}{-4}[/tex]
[tex]\rightarrow \sf -\dfrac{7}{4}[/tex]
Use the slope formula:-
(the slope is the same as the gradient)
[tex]\sf{\displaystyle\frac{y2-y1}{x2-x1} }[/tex]
[tex]\sf{\displaystyle\frac{2-(-5)}{1-5}}[/tex]
[tex]\sf{\displaystyle\frac{2+5}{-4} }=\frac{7}{-4} ={\boxed{-\frac{7}{4} }}\leftarrow\sf{slope~of~line~L}}}[/tex]
note:-Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)
Kristina house is 11 3/10 Luke house is 9 2/10
Answer:
they are 3 1/10 units away from each other
Step-by-step explanation:
11 3/10 - 9 2/10
3 1/10
Liz wants to hang a painting on her
wall so that it is centered. The wall is
110 inches wide, and the painting is
28 inches wide.
3
Determine how far the edges of the
painting need to be from the ends of
the wall, expressed as a mixed number.
Answer:
[tex]41\frac{1}{8}[/tex]
A cylinder has a diameter of 10 decimeters. What is the length of the curved surface?
78.5 decimeters
31.4 decimeters
62.8 decimeters
15.7 decimeters
what is the weight of a 55 kg person on earth where the acceleration due to gravity is 9.8m/s²
Answer:
The weight of an object is the force of gravity exerted on that object. The mass of an object is the amount of matter it has, and it stays the same wherever you are, regardless of gravity.[1] That's why an object that has 20 kilograms of mass on earth also has 20 kilograms of mass while on the moon, even though it would only weigh 1/6 as much. It weighs 1/6 as much on the moon because the force of gravity on the moon is 1/6 of what it is on Earth.
Step-by-step explanation:
Answer:
your mother
Step-by-step explanation:
The logical answer would be your mother because 9.8m/s^2 x 55 would equal your mother weight, 539 squared pounds.
write the form of the partial fraction decomposition of the rational expression.Do not solve for the constants.
x-2
________
x^2+11x+28
Answer:
A/(x+7) +B/(x+4)
Step-by-step explanation:
The denominators of the partial fraction expansion are the factors of the denominator of the rational function.
__
Here, the rational function's denominator can be factored as ...
x² +11x +28 = (x +7)(x +4)
Then the form of the decomposition is ...
[tex]\dfrac{x-2}{x^2+11x+28}=\boxed{\dfrac{A}{x+7}+\dfrac{B}{x+4}}[/tex]
_____
Additional comment
Here, A=3. B=-2.
If the factors of the denominator have multiplicity greater than 1, then there is a fraction with each power of that factor up to the multiplicity. For example, if there is a factor (x+4)³, then the decomposition would include fractions A/(x+4) +B/(x+4)² +C/(x+4)³.
I need help figuring out the answers
Answer:
The answer would be The answer would be 26 meters squared.
Step-by-step explanation:
1. Identify three rectangles
(The ones I identified were 5 by 2 [twice!] and 3 by 2)
2. Do 5x2 (10)
3. Do 5x2 again (10)
4. Do 3x2 (6)
5. Add 10, 10, and 6, to get 26
6. Label to get 26 meters squared. I hope this helps! :)
Shortly after their arrival, Europeans began introducing pigs to the Americas as a source of food. Some escaped, and others were intentionally released into the wild,
where they thrived. Assume that the wild pig population is modeled by the
formula P = P0•(1.2)^t .If there were five million wild pigs in 2010 (no one really knows the exact number), what was the population of wild pigs in 2000?
Answer: About 800 thousand
The more accurate value is 807,528 but this is also an approximation.
=======================================================
Work Shown:
[tex]t = \text{number of years since the year 2000}[/tex]
[tex]P_0 = \text{population (in millions) in the year 2000}[/tex]
[tex]P = P_0(1.2)^t\\\\5 = P_0(1.2)^{10}\\\\5 \approx P_0*6.1917364224\\\\P_0 \approx \frac{5}{6.1917364224}\\\\P_0 \approx 0.80752791444922\\\\P_0 \approx 0.807528\\\\[/tex]
That's the rough population of wild pigs (in millions) for the year 2000.
Multiply by [tex]10^6[/tex] to get it in terms of units instead.
[tex]0.807528\times10^6 = 807,528[/tex]
There were roughly 800 thousand wild pigs in the year 2000.
hii i need help, helppp thank you
Answer:
i think c
Step-by-step explanation:
i hope this helped
Answer:
c
Step-by-step explanation:
Alyssa is enrolled in a public-speaking class. Each week she is required to give a speech of
greater length tharr the speech she gave the week before. The table below shows the
lengths of several of her speeches.
Alyssa's Speeches
Answer: this question search it up because i don't think and know if anyone knows this even i don't know so sorry
Step-by-step explanation:
Find the surface area.
9 in
7 in
16 in
In this question we are provided with the length breadth and height and we are asked to find the surface area of the figure.
[tex] \small\bf{ Length = 16 \: inches } \\ \small\bf{Breadth = 7 \: inches} \\ \small\bf{Height = \: 9 \: inches} [/tex]
We know,
[tex] \pink\star \: \large\boxed{ \pink{ \rm{ Surface \: area = 2(lb + bh + hl)}}}[/tex]
Substituting the values we get
Surface area = 2(16 × 7 + 7 × 9 + 9 × 16)
= 2(112 + 63 + 144)
= 2(319)
= 638
Surface area = 638 inches².
Hey !
Question :Find the surface area of cuboid .
Given :Length of Cuboid = 16 inchesBreadth of Cuboid = 7 inchesHeight of Cuboid = 9 inchesTo Find :We have to find the surface area of given cuboid .Concept :The concept of this question belongs to surface areas of different three dimensional shapes . Whether they are cuboid , cube , cylinder , cone and many more .
Formula Used :[tex] \boxed{\sf{ \pink{Surface \: Area \: of \: cuboid=} \pink{2(lw + wh + hl)}}}[/tex]
Where ,
l = length height of cuboidw = width height of cuboidh = height of cuboidSo Starting Our Solution :Substituting value in formula ,
[tex] \longmapsto \: 2 ((16 \times 7) + (7 \times 9) + 9 \times 16)[/tex]
Now ,
[tex] \longmapsto \: 2(112 + 63 + 144)[/tex]
Adding the values which are inside bracket ,
[tex] \longmapsto \: 2(319)[/tex]
Now multiplying 319 by 2 ,
[tex] \longmapsto \: \bold{ 638 \: inches {}^{2} }[/tex]
Therefore ,
[tex] \boxed{ \sf \pink{Surface \: area \: of cuboid = 638 \: in {}^{2} }}[/tex]
▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬
#[tex] \rm{Keep \: Learning}[/tex]Help again please 33 points
Answer:
the answer is 56in2
Step-by-step explanation:
[tex]b = 14in \\ h = 8in \\ area \: of \: triangle = \frac{1}{2} b \times h \\ = \frac{1}{2} \times 14 \times 8 \\ = 56inches[/tex]
How can you use mental math to find 195 × 6?
help pleaseeeeeeee this is harddddddddddddddddd
Answer:
Step-by-step explanation:
Question #1:
Area of a triangle = bh/2
A = (3)(6)/2 = 18/2 = 9 in²
Total A = 10 x area of a triangle
Total A = 10 x 9 = 90 in²
Question #2:
A = bh/2
Top 2 triangles: (20)(10)/2 x 2 = 200
Bottom 2 triangles: (20)(50)/2 x 2 = 1000
Total A = 1,200 in²
Question #3:
Total area = 2 triangles + 1 square
Triangle A: must find base
a² + b² = c²4² + b² = 6²b = √(36 - 16) = √20 = 2√5Triangle A = bh/2 = (2√5)(4) = 8√5
Square A = bh = (4)(?)
The last one is very hard, can't find the square's base. I hope the rest of my answers help though! Have a nice day!
Help pls! pls explain too
Plss answer it, it is supposed to be done-
Use the shape to complete Questions 8, 9, and 10.
8. Draw a triangle around a point
9. Draw a box around a line segment.
10. Circle an angle.
The answers to the question are all attached given that they are all drawings. The subject here is shapes, lines, and angles.
What is a Triangle around a Point?A triangle around a point is a triangle that is constructed such that a point is equidistant from all the angles and all the sides that triangle. This point is thus referred to as the circumcenter of the triangle.
The triangle in the attached image is drawn around point D.
What is a Line Segment?A Line segment is the part of a line with two endpoints. The box in the diagram is drawn between points A and B.
What does it mean to circle an angle?When you put a circle around an angle, you have circled that angle. This most case is used to highlight an angle.
Learn more about shapes at:
https://brainly.com/question/25965491
Amelia needs to buy some dog food. At the nearest store ,5 bags of dog food cost 12.50 how much would Amelia spend on three bags
Answer:
$7.50
Step-by-step explanation:
the question can be represented with:
12.5/5 and x/3
12.5/5 is 2.5, so that means each bag of dog food is $2.5
So then you multiply 2.5 by 3, = 1.20, so 3 bags of dog food is $7.50.
Answer:
Step-by-step explanation:
Remark
I take it you mean 5 and not 0.5.
If that is the case, this is a proportion question. A proportion consists of 4 parts. If you know 3 of the parts, you can solve for the 4th one.
Formula
Number of bags/Cost = new number of bags/Cost of the new number
Givens
original Number of bags = 5
Cost = 12.50
New number of bags = 3 bags
Cost = x
Solution
5/12.50 = 3/x Cross Multiply
5x = 12.50 * 3 Combine the right
5x = 37.5 Divide by 5
5x/5 = 37.5/5
x = 7.5
Answer: 3 bags cost 7.50 dollars.
help pretty please!
Cyrus lives 11 miles due south of Adriana, Adriana live 19 miles due west of Jane, Jane lives 12 miles due south of Madisyn.
The shortest distance between Cyrus' house and Jane's house is
•21.95
•481.802
•0.52
The shortest distance between Adriana's house and Madisyn's house is
•504.901
•22.47
•44.42
Answer:
A.) 21.95
B.)22.47
Step-by-step explanation:
A.) An easy way to solve this is to use the Pythagorean theorem. Since the only person between Cyrus and Jane is Adriana, we will use her as a measuring point. Adriana's distance to Jane is 19, we will set a = 19, Adriana also is 11 miles away from Cyrus, and we will set b = 11. Now we plug it into the Pythagorean theorem.
[tex]a^2+b^2=c^2\\19^2+11^2=c^2\\\sqrt{482} =\sqrt{c^2}\\ 21.95=c[/tex]
B.) Using the same principle but for Adriana and Madisyn, we will use Jane as she is between them. Adriana is 19 miles from Jane, so we will set a=19, Madisyn is also 12 miles from Jane, so we will set b=12. Plug it for the Pythagorean theorem.
[tex]a^2+b^2=c^2\\19^2+12^2=c^2\\505=c^2\\\sqrt{505}=\sqrt{c^2}\\ 22.47 = c[/tex]
Find the area of the figure.
A) 114 cm2
B) 350 cm2
C) 418 cm2
D) 447 cm2
Answer:
418 cm2
Step-by-step explanation:
Divide the figure into a square and a triangle. Find the area of each and add. Make sure you do not combine them, and do one at a time.
s2 = area of square
192 = 361 cm
BH= area of triangle
(6)(19) = 57 cm2
361 + 57 = 418 cm
Answer:
c= 418cm2
Step-by-step explanation:
good bye now human
What is the equation for the graph shown?
Answer:
Step-by-step explanation:
Mikes parents bought him new gaming console he gets 72612312 games n puts in 5312 how much does he have left
Answer:
Seventy-two million, six hundred and seven thousand games remaining
please mark brainliest
Answer:
72607000
Step-by-step explanation:
just subtract 5312 from 72612312
Approximate square root of 35 using an appropriate linear approximation.
Answer:
5.91
Step-by-step explanation:
35 is between the perfect squares 25 and 36.
√25 = 5
√36 = 6
/ 5 25 \
| d 10 |
1 < x 35 > 11
| 1 |
\ 6 36 /
11/1 = 10/d
11d = 10
d = 0.909
√35 = 5 + d = 5.909
√35 = 5.91
100 points please help
Factor 36x2 + 60x + 25.
(6 x + 5) 2
(12 x + 5)(3 x + 5)
(6 x + 5)(6 x - 5)
What is the difference between a copyright and a trademark, and how are they used to protect intellectual property?
Answer: Copyright protects original work, whereas a trademark protects items that distinguish or identify a particular business from another.
The trademark laws protect the product or service name and any slogans used in the advertising, while the copyright laws protect the additional creative written expression contained in the ad. Hope this helps!
Step-by-step explanation:
F(x)=2x^2+7x-5 and g(x)=-8x^2-3x+5
What is g(x) +f(x)
The area of the circle
The area of the circle formula --> [tex]\pi r^2[/tex]
[tex]\pi[/tex] ≈ 3.14r: length of radius --> 7kmLength of radius is half of diameter which is 14km long
[tex]Area = \pi r^2=\pi (7km)^2=(49\pi )km^2=153.86km^2[/tex]
Hope that helps!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's find the Area of given circle ~
Area of circle is :
[tex] \qquad \tt \dashrightarrow \: \pi{r}^{2} [/tex]
where, r = radius
[tex] \tt r = d/2 = 14/2 = 7 km [/tex]Now, let's calculate it ~
[tex] \qquad \tt \dashrightarrow \: a = \pi{}^{}×(7)² [/tex]
[tex] \qquad \tt \dashrightarrow \: a = 49\pi{}^{}km² [/tex]
That's the answer I terms of π, but we can also plug in the appropriate value of pi as 3.14
[tex] \qquad \tt \dashrightarrow \: a=49\times 3.14{}^{} [/tex]
[tex] \qquad \tt \dashrightarrow \: a= 153.86 \: \: km²[/tex]
[tex] \qquad \tt \dashrightarrow \: area \approx 154\: \: km²[/tex]
i need help with this one
The value of x from the given figure is 8
How to calculate the interior angle of a triangleA triangle is a 2-dimensional shape with 3 sides an interior angle
Since the sum of the interior angles of a triangle is 180 degrees, hence;
8x - 4 + 76 + 44 = 180
8x + 116 = 180
8x = 180 - 116
8x = 64
x = 64/8
x = 8
Hence the value of x from the given figure is 8
Learn more on interior angle of a triangle here: https://brainly.com/question/8611232
HELP, i need help!!!!!!!!!!!!!!
Answer:
t = 7.46, 0.42
Explanation:
h = 126t - 16t² [ "h" is height, "t" is time ]
when height is 50 feet
126t - 16t² = 50-16t² +126t -50 = 016t² -126t +50 = 0==================
[tex]\sf use \ quadratic \ formula : x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a} \ \ when \ ax^2 + bx + c = 0[/tex]
==================
[tex]\Longrightarrow \sf t = \dfrac{-126\pm \sqrt{126^2-4\left(-16\right)\left(-50\right)}}{2\left(-16\right)}[/tex]
[tex]\Longrightarrow \sf t = \dfrac{63\pm\sqrt{3169}}{16}[/tex]
[tex]\Longrightarrow \sf t = 7.46, \ 0.42[/tex]
Let's find
h=126t-16t²Put h=50
-16t²+126t=50-16t²+126t-50=0Use quadratic formula
[tex]\\ \rm\Rrightarrow t=\dfrac{-126\pm\sqrt{126²-4(-16)(-50)}}{-32}[/tex]
[tex]\\ \rm\Rrightarrow t=7.5s,0.4s[/tex]
What is the answer to 3/4 times 6?
Answer:
4.5 or 4 1/2
Step-by-step explanation:
An easy way to do this problem is to divide 6 by 4, the denominator (1.5) then multiply it by the numerator, 3, which will now be 4.5.
The area of the circle
Answer:
A=1
4πd2=1
4·π·122≈113.09734
Step-by-step explanation:
Answer:
113.04 feet :)
Step-by-step explanation:
First we divide 12 by 2 to find the radius!
12/2 = 6
Now we can solve!!
3.14(6^2)
3.14(36)
113.04
Have an amazing day!!
Please rate and mark brainliest!!
how many gallons each of 25% alcohol and 5% alcohol should be mixed to obtain 20 gal of 8% alcohol?
[tex]\begin{array}{lcccl} &\stackrel{solution}{gallons}&\stackrel{\textit{\% of }}{amount}&\stackrel{\textit{gallons of }}{pure~alcohol}\\ \cline{2-4}&\\ \textit{25\% solution}&x&0.25&0.25x\\ \textit{5\% solution}&y&0.05&0.05y\\ \cline{2-4}&\\ mixture&20&0.08&1.6 \end{array}~\hfill \begin{cases} ~\hfill x + y &= 20\\\\ 0.25x+0.05y&=1.6 \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{using the 1st equation}}{x+y=20\implies \underline{y = 20-x}} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{0.25x~~ + ~~0.05(\underline{20-x})~~ = ~~1.6}\implies 0.25x+1-0.05x=1.6 \\\\\\ 0.20x+1=1.6\implies 0.2x=0.6\implies x=\cfrac{0.6}{0.2}\implies \boxed{x=3}[/tex]
