[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{4}}}\implies \cfrac{6}{3}\implies 2 \\\\\\ \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}{2}(x-\stackrel{x_1}{4})\implies y = 2x-8[/tex]
A triangle has two sides of length 1 and 8. What is the smallest possible whole-number length for the third side?
Answer:
1/8 is the smallest possible whole number length for the third side
a construction company is building a house based on the picture. The scale from picture to real house is 1 inch= 8 feet the height of the building in the picture is 2.5 inches what is the height of the real building the proportion i would use to solve this is ____ the height of the real building should be ______ feet. To explain to the construction workers how they would calculate the height of the final building. i would tell them ____
Answer:
The Height of the building would be 20 feet.
Step-by-step explanation:
1.) 1/8 = 2.5/X
2.) Answer: 20 Feet
3.) Cross Multiply
- 1 inch is to 8 feet as 2.5 inches is to 20 feet.
what is the height of the prism?
Answer:
option 1
Step-by-step explanation:
[tex]x - 3 + \frac{7 x- 9}{ {x}^{2} - 2 } [/tex]
your required answer
HELP PLEASE FOR NUMER 3 and 4 PLEAESE ASAP ANI WILL GIVE BRANILESS FOR THE FIRST PERSON
Step-by-step explanation:
I don't understand this question
come again
Find the balance in the account after the given period
$3000 principal earning 5% compounded annually, 8 years
i really need help im confused
Answer:
$1200
Step-by-step explanation:
5% of $3000 = $150
multiply 8 by $150 = $1200
does 20, 40, 30 form a right triangle
Answer: No
Step-by-step explanation: In order for a triangle to be right, the first number and second number has to be smaller than the middle number.
20+30= 50
50>40
therefore 20,40,30 can not be a right triangle
Call the 3 sides a,b,c respectively. (a=20; b=30; c=40)
To form a right triangle with 3 lengths, they must satisfied the equation : [tex]a^{2} +b^{2} =c^{2}[/tex] (aka pythagorean theorem)
Replace numbers : [tex]20^{2} +30^{2} =40^{2}\\ 400 + 900 = 1600 (false)[/tex]
-> These lengths do not form a right triangle.
The diagram shown is two intersecting lines. The measure of 5 is 47°.
a. Using the vertical angles theorem, m∠7 = 47°.
b. Based on the definition of linear pair, the equation that can be used to solve for x is: 2x - 5 + 47 = 180.
c. x = 69
What is a Linear Pair?A linear pair is two angles whose sum equals 180°.
Given the image, where:
m∠5 = 47°
a. ∠5 and ∠7 are vertical angles. Since verticl angles are congurent, therefore:
m∠7 = m∠5 = 47°
m∠7 = 47°
b. m∠6 = (2x - 5)°
m∠6 + m∠5 = 180° (linear pair)
Substitute
2x - 5 + 47 = 180 (equation that can be used to solve x)
c. 2x - 5 + 47 = 180
2x + 42 = 180
2x = 180 - 42
2x = 138
x = 138/2
x = 69
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For water to be a liquid, its temperature must be within 50 Kelvin of 323 Kelvin. Which equation can be used to determine the minimum and maximum temperatures between which water is a liquid?
|323
Answer:
its 323 so you were right :) if 323 is your answer lol
Step-by-step explanation:
abs(T-50)=323 Where T is in degrees Kelvin.
abs () means absolute value.
So T=323 plus or minus 50
you are shopping in a video store and have $49.50 to spend each DVD costs $4.25. ESTIMATE the maximum number of DVDs you could buy?
With a total of $49.50 one would be able to buy 12 DVDs in the video store
Estimation of NumbersGiven data
Amount at hand = $49.50Cost per DVD = $4.25Required: the Number of DVDs that can be bought
The expression for find the number of DVDs is given as
Number of DVD = Total Amount/Cost per unit
Number of DVD = 49.50/4.25
Number of DVD =11.64
Hence $49.50 would buy approximately 12 DVDs
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PLEASE HELP! DUE TODAY! TY!
In the figure, line segment AB is tangent to the circle at point A. Find the length of line segment AB.
Work:
AB =
Answer: 12 inches
Step-by-step explanation:
Is 6km bigger then 54,000mm?
Answer:
Yes
Step-by-step explanation:
To answer this question, we will need to know how many millimeters are in a kilometer.
1 km = 1,000,000 mm
Therefore, 6km is WAY bigger than 54,000 mm
When two lines intersect, are all the angles formed equal?
Answer: No
Step-by-step explanation:
If we don't know if the lines are parallel, we cannot conclude the angles are equal.
When two lines are parallel lines are intersected by a transversal, the corresponding angles formed are always equal in measure, and when the lines are not perpendicular the measure of the angle is not equal.
What are intersecting lines?The intersecting lines (two or more) always meet at a single point. The intersecting lines can cross each other at any angle.
When two lines intersect each other, the two opposite pairs of angles formed are called vertically opposite angles.
If two parallel lines are intersected by a transversal, the corresponding angles formed are always equal in measure.
If the corresponding angles formed at the two intersections are congruent, the two lines will then be considered parallel.
The pair of corresponding angles always lies on the same side of a transversal.
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if y=5x-3, find the value of y when x=-2
Answer:
y = -13
Step-by-step explanation:
y = 5(-2) - 3
y= -10 -3
y = -13
Step-by-step explanation:
or, y = 5x - 3
or, y = 5 (-2) - 3
or, y = -10 - 3
y = -13
Using the Linear equation 4x-3y=12, express each of the following.
y in terms of x. y=
Using the Linear equation 4x-3y=12, express each of the following.
x in terms of y. x=
Using the given linear function, it is found that the expressions are given by:
[tex]y = \frac{4x}{3} - 4[/tex].[tex]x = \frac{3y}{4} + 3[/tex].What is the given linear function?It is:
4x - 3y = 12.
To find y in terms of x, we isolate y, hence the expression is given by:
[tex]3y = 4x - 12[/tex]
[tex]y = \frac{4x}{3} - 4[/tex]
To find x in terms of y, we isolate x, hence the expression is given by:
[tex]4x = 12 + 3y[/tex]
[tex]x = \frac{3y}{4} + 3[/tex]
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If the area of a parallelogram is 5 ⅖ ft. height of the parallelogram is 2 ⅖ ft, what is the base of the parallelogram
Answer:
3 2/5
Step-by-step explanation:
.
Which equation can be used to find A, the area of the parallelogram shown?
Answer A
Calculate it correctly you will get it
Answer:
c
Step-by-step explanation:
the area of a parallelogram is given by base ×height
in this case 10×5
Solve this for me pls
Answer:don’t delete my comment I need more points lol
Step-by-step explanation:
Find the scale of the 2 known sides:
40/8 = 5
the larger shape is 5 times the size.
Multiply the known sides by 5:
X = 5 *5 = 25
x = 25
in the figure line segment AB is tangent to the circle at point A. find the length of line segment AB 8 in. And 10 in.
Answer:
the answer is just ab
Step-by-step explanation:
dats what it is added up
The length of line segment AB is 12 inches for the given figure.
What is a secant?A secant is a straight line that touches a circle twice.
As per the given figure, we have
Secant segment BD = (8+10) in.
External secant segment BC = 8 in.
Tangent segment = AB
When a secant segment and a tangent segment intersect at an exterior location, the square of the tangent segment's measure equals the product of the secant segment's and its external secant segment's measures.
So, AB² = BC × BD
Substitute the values in the above equation,
AB² = 8 × (8+10)
AB² = 8 × 18
AB² = 144
AB = 12
Thus, the length of line segment AB is 12 inches.
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The complete question has been attached below.
Is πxy=4 a linear equation?
Answer:
Yes
Step-by-step explanation:
It is a first-degree equation. Look at the exponents of each variable (x, y), they are not written because they are 1
Hope this helps
how do I do this??????
you take 99 divided by 22 = 4.5
I don't understand what exactly your teachers meaning so I would also suggest asking but the answer compered to everything I've learned in math would be 4.5.
have a good day/night!! :)
Explain why the fractions in question number 2 are equivalent?
Answer:
its 2/6ths its only multiplied by 2
Step-by-step explanation:
b. Maria is watching cell growth in a lab. The cells double every 30 minutes. If there were 3 cells
initially, how many cells are there in 5 hours
Answer:
3072
Step-by-step explanation:
The number of cells is initially 3 and is multiplied by 2 every time t increases by 1/2 hour. This means the exponential function describing the number of cells can be written ...
y = (initial value) × (growth factor)^(t/(growth period)
y = 3 × (2^(t/(1/2)) = 3×2^(2t)
After 5 hours, the number of cells will be ...
y = 3×2^(2·5) = 3×2^10 = 3×1024
y = 3072
There are 3072 cells in 5 hours.
_____
Additional comment
The function could be simplified to ...
y = 3×4^t
Kevin is 4 times as old as Daniel and Kevin is
also 6 years older than Daniel
Step-by-step explanation:
let kevein be x and daniel be y
x=4y (equation i)
x=6+y(equationii)
putting the value of x in equationii
4y=6+y
3x=6
x=2
Find the 14th term of the following geometric sequence 1,2,4,8,…
Answer:
The 14th term is 8,192
Step-by-step explanation:
Well we can see that it is multiplying every next term by 2.
2nd term : 1*2 = 2
3rd term : 2*2 = 4
4th term : 4*2 = 8
So, we can simply carry out this process.
5th term : 8*2 = 16
6th term : 16*2 = 32
7th term : 32*2 = 64
8th term : 64*2 = 128
9th term : 128*2 = 256
10th term : 256*2 = 512
11th term : 512*2 = 1024
12th term : 1024*2 = 2048
13th term : 2048*2 = 4096
14th term : 4096*2 = 8192
The 14th term is 8,192
Answer:
8192
Step-by-step explanation:
The rate is x2. Multiplying to the 14th term gets to 8192.
hope this helps!
Answer number 9 please. Thank you.
The above attachment is the answer. Hope it helps?
Which expression is equivalent to 125 x 15,??
y
O 5x®y3z
0 5x²y5z
O 25x²y3z
O 25x²y5z
Answer:
25²×3is the equivalent answer
Please help! will give brainlest! locks in 30 min!
Answer:
[tex]\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\frac{4 \pi }{3} = \pi + \frac{\pi }{3}[/tex]
tan ([tex]\frac{4\pi }{3}[/tex]) = [tex]-\frac{\sqrt{3} }{2}[/tex] ÷ [tex](- \frac{1}{2} )[/tex]
= [tex]\sqrt{3}[/tex]
hope this helps and is right!! p.s. i really need brainliest :)
6x+9=45 how do you solve it
[tex] \huge\mathbb\orange{ANSWER} [/tex]
[tex] \mathsf \purple{6x + 9 = 45}[/tex]
[tex] \mathsf \pink{6x + 9 - 9 = 45 - 9}[/tex]
[tex] \mathsf \purple{6x = 36}[/tex]
[tex] \mathsf \pink{ \frac{6x}{6} = \frac{36}{6} }[/tex]
[tex] \mathsf \purple{x = 6}[/tex]
[tex] \mathbb\orange{Hope\: It\: Helps} [/tex]
Why is the Area for my shape not correct and can you explain why?
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Here, We have given
2 squares , In which 1 square is enclosed within the another square and it arranged in a form that it forms 4 right angled triangle The height and base of the given right angled triangles are 6 and 3 each.We know that,
Area of triangle
[tex]{\sf{=}}{\sf{\dfrac{1}{2}}}{\sf{ {\times} base {\times} height }}[/tex]
Subsitute the required values,
[tex]{\sf{=}}{\sf{\dfrac{1}{2}}}{\sf{ {\times} 3 {\times} 6}}[/tex]
[tex]\sf{ = 3 {\times} 3 }[/tex]
[tex]\bold{ = 9 }[/tex]
Therefore,
Area covered by 4 right angled triangles
[tex]\sf{ = 4 {\times} 9 }[/tex]
[tex]\bold{ = 36}[/tex]
Now,
We have to find the area of the big square
The length of the side of the big square[tex]\sf{ = 6 + 3 = 9 }[/tex]We know that,
Area of square
[tex]\sf{ = Side {\times} Side }[/tex]
Subsitute the required values,
[tex]\sf{ = 9 {\times} 9 }[/tex]
[tex]\bold{ = 81 }[/tex]
Therefore,
The total area of shaded region
= Area of big square - Area covered by 4 right angled triangle
[tex]\sf{ = 81 - 36 }[/tex]
[tex]\bold{ = 45 }[/tex]
Hence, The total area of shaded region is 45 .
Part 2 :-Here,
We have to find the area of non shaded region
According to the question
Hypotenuse = The length of squareLet the hypotenuse of the given right angled triangle be x
Therefore,
By using Pythagoras theorem,
This theorem states that the sum of the squares of the base and perpendicular height is equal to the square of hypotenuse.That is,
[tex]\sf{ (Perpendicular)^{2} + (Base)^{2} = (Hypotenuse)^{2} }[/tex]
Subsitute the required values
[tex]\sf{ (6)^{2} + (3)^{2} = (x)^{2} }[/tex]
[tex]\sf{ 36 + 9 = (x)^{2} }[/tex]
[tex]\sf{ x = \sqrt{45}}[/tex]
[tex]\bold{ x = 6.7 }[/tex]
That means,
The length of the small square = 6.7We know that ,
Area of square
[tex]\sf{ = Side {\times} Side }[/tex]
Subsitute the required values,
[tex]\sf{ = 6.7 {\times} 6.7 }[/tex]
[tex]\bold{ = 44.89 \:\: or \:\: 44.9 }[/tex]
Therefore ,
Area of non shaded region
= Area of big square - Area of small square
[tex]\sf{ = 81 - 44.9 }[/tex]
[tex]\bold{ = 36.1 }[/tex]
Hence, The total area of non shaded region is 36.1 or 36 (approx) .
Part 3 :-Here, we have to
find the total area of the figure Therefore,The total area of the figure
= Non shaded region + Shaded region
[tex]\sf{= 36 + 45 }[/tex]
[tex]\bold{= 81}[/tex]
Hence, The total area of the given figure is 81 .
Angle α is drawn on the unit circle in standard position. The terminal side of angle α intersects the unit circle at point (-0.292, 0.956). What is the approximate decimal value of tan(α)?
The approximate decimal value of tan(α) is -3.274, α intersects the unit circle at point (-0.292, 0.956)
What is a unit circle?
A circle is the locus of a point such that its distance from a fixed point (center) is always constant.
A unit circle is a circle with a unit radius.
Given that:
The terminal side of angle α intersects the unit circle at point (-0.292, 0.956).
Hence:
tan(α) = (0.956 / -0.292) = -3.274
The approximate decimal value of tan(α) is -3.274, α intersects the unit circle at point (-0.292, 0.956)
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