Answer:
x² - 10x + 16 = 0
Step-by-step explanation:
Given the solutions x = 8 and x = 2 , then the factors are
(x - 8) and (x - 2) and the equation is
(x - 8)(x - 2) = 0 ← expand left side using FOIL
x² - 10x + 16 = 0
The slope of the rafter is 15 m.Half the run of the rafter measure 12m.find the height of the ridge from the base
Answer:
[tex]9\; \rm m[/tex].
Step-by-step explanation:
Assume that the run of this rafter is level. Then the height of the ridge (the line with a question mark next to it in the diagram) should be perpendicular to the line marked with [tex]\rm 12\; m[/tex]. The three labelled lines in this diagram will form a right triangle.
The line marked as [tex]15\; \rm m[/tex] will be the hypotenuse of this right triangle.The line marked as [tex]12\; \rm m[/tex] will be one of the triangle's legs.The line representing the height of the ridge (the one with the question mark) will be the other leg of this right triangle.Hence, the height of this ridge can be found with the Pythagorean Theorem. By the Pythagorean Theorem:
[tex](\text{First Leg})^2 + (\text{Second Leg})^2 = (\text{Hypotenuse})^2[/tex].
In this particular right triangle:
[tex](\text{Height})^2 + (12\; \rm m)^2 = (15\; \rm m)^2[/tex].
[tex](\text{Height})^2 = (15\; \rm m)^2 - (12\; \rm m)^2[/tex].
Therefore, the height of this ridge would be [tex]\sqrt{81}\; \rm m = 9\; \rm m[/tex]. (Note the unit.)
Teena's calculator is broken and does not have key 9 that works! With this broken calculator she found out the value of (-35) x 99. Explain your reasoning carefully and clearly
Answer:
(-35) * (100 - 1)
Step-by-step explanation:
She was able to find the value of (-35) * 99 without using the missing 9 button on her calculator.
The easiest way to do this is to replace 99 with another set of numbers that has the same value as 99.
(100 - 1) has the same value as 99. So, Teena can replace 99 with (100 - 1):
(-35) * (100 - 1)
It will yield the desired result.
what are the zero's f(x)=(x-3)(x+8)
Answer:
-8, 3
Step-by-step explanation:
[tex]f(x) = (x - 3)(x + 8) \\ plug \: f(x) = 0 \\ (x - 3)(x + 8) = 0 \\ x - 3 = 0 \: or \: x + 8 = 0 \\ x = 3 \: or \: x = - 8 \\ \therefore \: - 8, \: 3 \: are \: zeros \: [/tex]
if c=12 and d=9 , what is 82-4c+d
Answer:
43
Step-by-step explanation:
multiply 4 x c(12)=48
then just plug it in and solve
82-48=34
34+9=43
PLZZZ HELPPP
Kim and Josh can clean a house together in 3 hours. If it takes Kim 7 hours to clean the house by herself, how long would it take Josh to clean the house alone? Leave your answer in improper fraction form, then convert to a decimal.
Answer: 28/3 hours
Step-by-step explanation:
From the question, Kim and Josh can clean a house together in 3 hours while Kim alone uses 7 hours to clean the house by herself.
Kim's hourly rate will be to clean the house = 1/7 per hour.
In 4 hours:
Kim will have completed = 1/7 × 4 = 4/7 of the house
This mean that Josh completes:
1 - 4/7 = 3/7 of the house.
Josh's hourly rate will now be:
1/4 × 3/7 = 3/28 of the house per hour.
From Josh to clean the house alone, he will use:
= 1 ÷ (3/28)
= 1 × 28/3
= 28/3 hours
Josh will use 28/3 hours to clean the house alone?
What is the area of trapezoid QRST?
Answer:
?
Step-by-step explanation:
divide the trapezoid into 1 square and 2 triangles.
then calculate the square.
6 * 6 = 36.
after youve done this you have to calculate the triangles.
6 * 3 = 18 = 1 triangle
18 * 2 = 36 = 2 triangles
now add them together:
36 + 36 = 72
in conclusion this should be the proper answer but its not on your page so...
i would say count the squares 1 by one...
but i did that...
its 54
:)
Please answer correctly!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
see below
Step-by-step explanation:
g(x) = sqrt(x+3)
g(-6) = sqrt(-6+3) = sqrt(-3) not a real number not in domain
g(-3) = sqrt(-3+3) = sqrt(0) 0 in domain
g(3) = sqrt(3+3) = sqrt(6) in domain
What is the domain of f(x) = 3x – 2? {x | x > 0} {x | x < 0} {x | x = 0} {x | x is a real number}
Answer:
Option (4). {x | x is a real number}
Step-by-step explanation:
Domain of any function is defined by the x values (Input values) and range by the y-values (Output values).
Given function is f(x) = 3x - 2
When we graph this function, we get a straight line.
That means the given function is defined for all real numbers.
Therefore, domain of this function will be all real numbers.
Domain: {x | x is a real number}
Option (4) will be the answer.
Answer:
D) {x | x is a real number}
How is the product of 4 and 2 shown using integer tiles? 4 positive tiles and 2 positive tiles. 4 negative tiles and 2 negative tiles. 4 sets of 2 positive tiles. 4 sets of 2 negative tiles. Plz i need help
Answer: 4 sets of 2 positive tiles.
Step-by-step explanation:
We have the product of 4 and 2.
We can represent this as:
4 is equivalent to 4 positive tiles.
if we multiplicate it by 2, then we must have 2 sets of 4 positive tiles.
Another example is using 2 positive tiles to represent the 2.
So when we multiply it by 4, we end with 4 sets of 2 positive tiles.
This is because the order of the factors does not change the product.
Then, from the given options, the correct one is:
4 sets of 2 positive tiles.
Answer:
C on edge 2021
Explanation:
4 groups of 2
[+] [+] [+] [+] [+] [+] [+] [+]
Solve for k. a/b=b/a+1/k
Answer:
k = ab/ ( a^2 - b^2)
Step-by-step explanation:
a/b=b/a+1/k
Multiply each side by abk to get rid of the fractions
abk *a/b=abk(b/a+1/k)
a^2k = b^2k + ab
Subtract b^2k from each side
a^2k - b^2k = b^2k - b^2k + ab
a^2 k - b^2 k = ab
Factor out k
k( a^2 - b^2) = ab
Divide each side by ( a^2 - b^2)
k( a^2 - b^2)/ ( a^2 - b^2) = ab/ ( a^2 - b^2)
k = ab/ ( a^2 - b^2)
Answer: K= ab/(a+b)(a-b)
Simplify this algebraic expression completely.
8y-2(y + 4)
A. 6y + 4
B. 6y + 2
C. 6y-8
D. 6y - 4
Answer:
C.) 6y-8
Step-by-step explanation:
8y-2(y+4)
8y-2y-8
6y-8
So answer is C
Answer:
Option C
Step-by-step explanation:
[tex]8y-2(y+4)\\\\\text{Distribute:}\left \{ {{-2*y=-2y} \atop {-2*4=-8}} \right. \\8y-2y-8\\\text {Combine like terms:}\\8y-2y=6y\\\text {We are left with:}\\\boxed {6y-8}\\\text {This is the simplest form of the equation. Option C should be the correct answer.}[/tex]
Answer ASAP, please!!!! Will mark brainliest!!! 25 points!!!!!
A vendor pays a rock band 13 of the total profit from T-shirts and sweatshirts sold at every concert. The vendor paid the rock band $726 after the last concert. If the profit from T-shirts sales was $1,632, what was the profit from sweatshirt sales?
1/3 of the profits is $1632 * 1/3 which would equal, $544
so 726- 544= $182 sweatshirt sales
but we're looking for 1/3 of sweatshirt sales, so
3 * 182 = $546 and that's your answer
Answer:
"ill get back to you on that lol"
Step-by-step explanation:
Which of the following is Th e equation of the boundary line shown in the following inequality?
a. y = -x + 3/5
b. y= -x + 5/3
c. y= 3/5x - 1
d. y= 5/3x - 1
Answer:
The answer is C.
Step-by-step explanation:
Mark me brainiiest.✌✌
what is the area of the circle
Answer:
A = 51.84π
Step-by-step explanation:
Area of circle = [tex]\pi r^2[/tex]
r = 7.2
A = 51.84π
If the diameter of a circle is 7 inches,
which is closest to the circumference?
F 21.98 in.
G 38.47 in.
H 43.96 in.
J 153.86 in.
Work Shown:
Circumference = pi*diameter
Circumference = 3.14*7
Circumference = 21.98 inches approximately
This is approximate since pi = 3.14 is approximate.
A store uses a 60% markup rate to sell items to its customers. If one item costs 12$ how much money the store will make on that item. And what is the selling of that item.
Answer:
12
Step-by-step explanation:
60% of $12
(60 × 20) ÷ 100 = 12
"Write an equation that you can use to represent the volume of a square prism. Use b to represent the length and width of the base. Use h to represent the height of the prism. Use espantes if possible. Then explain your answer." Please help I need to turn in this in 10 minutes
Step-by-step explanation:
A square prism is a cube. The equation that represents the volume of a cube is:
length*width*height
or, in your case, b*b*h
If you are talking about a square-based pyramid, then you use 1/3 * length * width * height or 1/3 * b * b * h. You can use the exponents where needed.
If 153 = 2 (z +z)n, then what is the value of 4nz + 20
Answer:
The value of 4 n z + 20 = 173
Step-by-step explanation:
Explanation:-
Given 153 = 2 (z +z )n
2 ( z + z) n = 153
2 ( 2 z ) n = 153
4 z n = 153
Adding '20' on both sides , we get
4 z n + 20 = 153 + 20
4 z n + 20 = 173
Final answer:-
The value of 4 n z + 20 = 173
How do outliers affect data analysis? A.They may significantly affect the mean of the data. B.Not enough information. I would need to know what the data points are. C.They afect the mode of the data. D.They do not, just calculate them with the data the same as all the other data. PLEASE HELPPP!!!!!!
Answer:
A.They may significantly affect the mean of the data.
Step-by-step explanation:
The outliers may significantly affect the mean of the data.
What is outlier?The extreme values in the data are called outliers.
Example: For a data set containing 2, 19, 25, 32, 36, 38, 31, 42, 57, 45, and 84.
In the above number line, we can observe the numbers 2 and 84 are at the extremes and are thus the outliers.
The outliers are a part of the group but are far away from the other members of the group.
For example:
Consider the data: 70, 73, 77, 71, 7, 73, 72, and 78
Let's calculate the mean to understand how the outlier affects the results.
Here, the datapoint 7, is an outlier.
Mean (with outlier)
=70+73+77+71+7+73+72+78/8
=521/8
=65.1
Mean (without an outlier) = 70+73+77+71+73+72+78/7 = 514/ 7 =73.4.
the outlier creates a variation in the mean value of the data.
As, from the example discussed above we have seen that outliers depends on mean of the data.
Hence, outliers may significantly affect the mean of the data.
Learn more about outliers here:
https://brainly.com/question/26958242
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tell whether the red figure is a translation or rotation of a black figure
Answer:
The 2 figures have the same shape and the corresponding points are "lined up" so I would say that this is a translation.
Answer:
translation
see below
Step-by-step explanation:
translation because it didn't change direction of the figure
translation is sliding down or up rotation is moving in circle
Find the percent increase in volume when 1 foot is added to each dimension of the prism. Round your answer to the nearest tenth of a percent.
Answer:
hi this is my old account
Step-by-step explanation:
Please help
AOB = ?
BOC = ?
BOD = ?
Answer: in between a and b it could be 12x
in between b and c it could be 55x
in between d and c it could be [tex]4x^{o}[/tex] than probably half that
in between b and c it could be [tex]x^{o}[/tex]
or this
From the diagram, we know that it is an angle that adds up to 360
So
x+4x+2x+10+5x+50=360
Gather like terms
12x+60=360
Move sixty to the other side as a negative number
12x=300
Divide both sirs by twelve
x is equal to 25
AOB is 2x+10
Sub x in 2*25+10
AOB is 60
BOC is 5x+50
5*25+50, which is 175
BOD is x+2x+10
Which is 3x+10
Sub x
3*25+10 which is 85
Step-by-step explanation:
i think it could be like this
pleas help please helpppp
Answer:
the third option
Step-by-step explanation:
the inverse of a statement is just the opposite. So the opposite of your statement would be "if a quadrilateral is NOT a rectangle, then it is NOT a parallelogram."
hope this helps!
The largest of the great pyramids in Egypt was built with a square base having edges measured 754 feet and a height of 418 feet. To the nearest cubic foot, what was the volume of the original structure
Answer:
[tex]79213229.3 ft^3[/tex]
Step-by-step explanation:
The great pyramids pf Egypt are square based pyramids.
The volume of a square based pyramid is:
[tex]V = a^2h/3[/tex]
where a = length of square base
h = height of pyramid
The pyramid has a square base measured as 754 feet and a height of 418 feet. Its volume is:
[tex]V = 754^2 * 418 / 3\\\\V = 79213229.3 ft^3[/tex]
*I will give you brainliest* Just give me the answer no explanation is needed , thank you :).
Answer: True
Step-by-step explanation:
The temeprature is solely reliant on time, meaning its a function of time
If m vb = 60 and m bs =30 then m 3 =. 30 45 15
Answer:
Option (3)
Step-by-step explanation:
PB is a tangent and PV, PU are the secants drawn to the circle.
[tex]m(\widehat {VB})[/tex] = 60° and [tex]m(\widehat{BS})[/tex] = 30°
By theorem of tangent and secants,
"When a tangent and secant are drawn from a point outside the circle, then the measure of the angle formed is one half the difference of intercepted arcs."
m∠BPV = [tex]\frac{1}{2}[m(\widehat{BV}-m(\widehat{BS})][/tex]
m∠3 = [tex]\frac{1}{2}[60-30][/tex]
m∠3 = 15°
Therefore, Option (3) will be the answer.
I have a test in 2 days please do quickly!!! What is a ratio???!!??
Answer:
A ratio is when 2 values that come from related things are compared in the form of x:y
Answer:
comparison between things
Step-by-step explanation:
for example:
16 girls and 8 boys in a class room
the ratio would be 2:1 (girls:boys)
the are of one of the bases of the figure shown above is about 21.2 cm sq. What is the surface area, in cm sq, of the figure? round your answer to the nearest tenth 9,7,7,7 cm
Answer:
105.4
Step-by-step explanation:
I got the answer wrong when I answered 95 for some reason and it told me. the answer was 105.4
The surface area is 105.4 square centimeters.
What is surface area?A surface area formula is a mathematical approach to discovering the total place of any 3-dimensional object occupied by means of all of its surfaces.
what are surface area examples?The surface area is the overall location blanketed by way of all of the faces of a 3-d item. For an instance, if we need to discover the quantity of paint required to paint a dice, then the surface on which the paint can be carried out is its floor place. it is continually measured in rectangular units.
Learn more about the surface area here https://brainly.com/question/76387
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The system of equations and is shown on the graph below. What is a reasonable estimate for the solution? (1.1, –1.9) (–1.9, 1.1) (2.1, –3.9) (–3.9, 2.1)
Answer:
A: (1.1, –1.9)
tell me if im wrong pls.
Answer:
A
Step-by-step explanation:
I took the test
Pleeaaase hellllppppp…………………
Answer:
C, 1/10 c^3d^4
Remove the cubic root operation by raising all the terms by 1/3
1/100^1/3 c^9^1/3 a^12^1/3
Simplify:
1/10c^3a^4