Answer:
4
Step-by-step explanation:
The formula of an area of a triangle is:
area = height × width ÷ 2
We can put in the values of the area and width first.
20 = height × 10 ÷ 2
20 = height × 5
Shift the (×5) to the left-hand side of the equation, making it (÷5).
20 ÷ 5 = height
height = 4
Answer:
A=1/2b×h
we have,
b=10 cm
A=20cm2
1/2b×h=20cm2
1/210×h=20
5h=20
h=4cm
HELPPPPP
Which of the following are roots of the polynomial function below?
Check all that apply.
F(x) = x^3 -3x²+2
The roots of the polynomial function f(x) = x³ - 3x² + 2 are [tex]\frac{2-\sqrt{12} }{2}, \frac{2+\sqrt{12} }{2}, \ and \ 1[/tex].
What are the roots of the polynomial function?Given the polynomial function in the question:
f(x) = x³ - 3x² + 2
To find the roots of the polynomial function f(x) = x³ - 3x² + 2, we need to solve for values of x that make the function equal to zero.
f(x) = x³ - 3x² + 2
x³ - 3x² + 2 = 0
Factor the equation using the rational root test:
( x - 1 )( x² - 2x - 2 ) = 0
Equate each factor zero and solve for x:
( x - 1 ) = 0
x - 1 = 0
x = 1
( x² - 2x - 2 ) = 0
x² - 2x - 2 = 0
Using the quadratic formula:
[tex]x = \frac{-b\±\sqrt{b^2 - 4(ac)} }{2a} \\\\x = \frac{-(-2)\±\sqrt{(-2)^2 - 4(1*-2)} }{2*1} \\\\x = \frac{2\±\sqrt{4 + 8} }{2} \\\\x = \frac{2\±\sqrt{12} }{2}\\\\Hence:\\\\x = \frac{2-\sqrt{12} }{2}, \frac{2+\sqrt{12} }{2}[/tex]
Therefore, the roots are [tex]x = \frac{2-\sqrt{12} }{2}, \frac{2+\sqrt{12} }{2}, 1[/tex].
Options A, B and D are the correct answers.
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find the mean median and mode of the data set :15,11,14,10,12,15,15
Answer:
Mean = 13.14, Median = 14, Mode = 15
Step-by-step explanation:
The mean is the numbers added together divided by the number of numbers
15 + 11 + 14 + 10 + 12 + 15 + 15 = 92
92 / 7 = About 13.14
The median is the middle of the numbers ordered from least to greatest
10 11 12 14 15 15 15
14 is in the middle so that is the median.
The mode is the number showing up the most.
15 shows up 3 times so it is the mode.
. Triangle G H J is rotated 90 degrees about point X to form triangle S T R. Triangle GHJ is rotated 90° about point X, resulting in triangle STR. Which congruency statement is true? TR ≅ GJ ∠S ≅ ∠H TS ≅ HG ∠R ≅ ∠G
Answer:
Answer is TS ≅ HG.
Step-by-step explanation:
When a triangle is rotated the corresponding parts are congruent.
Here we get image triangle S T R when we rotate the triangle G H J. So, the corresponding parts of congruent triangles are congruent.
So, ST = GH
RT= HJ
SR= GJ
<S= <G
<T = <H
<R=<J
According to them, the option TS= HG is correct.
Answer:
C. TS ≅ HG
Step-by-step explanation:
Credits to the person above!!!
What is the value of the absolute value expression |−152| + |5| − |−24|?
179
133
−125
−173
The value of absolute value expression is equal to 133. The correct option is B.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The absolute value or modulus of a real number x abbreviated |x| in mathematics, is the non-negative value of x regardless of its sign.
The absolute value of the function will be calculated as,
E = |−152| + |5| − |−24|
E = 152 + 5 - 24
E = 133
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Find the volume of the shape
Answer:
The volume of cylinder is 58.2 cm³.
Step-by-step explanation:
The formula of volume of cylinder is :
[tex]v = \pi \times {r}^{2} \times h[/tex]
So, you have to substitute the values into the expressions :
[tex]let \: r = 2.1,h = 4.2[/tex]
[tex]v = \pi \times {2.1}^{2} \times 4.2[/tex]
[tex]v = 58.2 \: {cm}^{3} \: (3sf)[/tex]
A bag contains 4 red marbles and 6 blue marbles. Brandon selects one marble from the bag. Without replacing the marble he then
selects a second marble. What is the probability he selects a red marble given that he first selects a blue marble?
A)1/5
B)2/5
C3/5
D)4/15
HELP ASAP ILL GIVE BRAINLIEST
the multiplicative property of
-1 1/4
Answer:
Step-by-step explanation:
1 is the answer
Plz help 50 points
Help on number 2 and 3 please. What if you can’t read number 3’s answer it is;
A.8
B. 1/8
C.2/9
D. 9/2
Plz help on number 2 and 3
Answer: So the answer to number 2 is D! And the answer to number 3 is C I think I am not pretty sure about #3 but I am sure its D for 2 and pretty sure for #3 is C!
Find the slope of the line.
copy and paste the link in the download in a new tab
Answer:
lol ok
Step-by-step explanation:
Answer:
ok Y?
Step-by-step explanation:
Round 3,989.23655 to the nearest thousandth. 3,989.237 3,989.236 4,000 3,989.240
Answer:
3,989.237Step-by-step explanation:
Rounding to the nearest THOUSANDS means 3 decimal places
What is the greatest common factor of 20 and 55?
Answer: 5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
For mixing paint, Bishear used the equation, 1/2x + 9 = 13, for making orange. If he puts in 8 parts red, so x = 8, would it be a solution to the equation. *
Answer:
If he keeps to the same ratio, how many raspberries will Tobias use? ... The first orange paint mixture contains 6 parts red and 9 parts yellow.
Step-by-step explanation:
Using the figure below, angle FBD is 50 degree, which is true regarding angle EBF?
Answer:
<EBF = 40
Step-by-step explanation:
<EBF and <FBD are complementary, which means m<EBF + m<FBD = 90 degrees. Since m<FBD = 50 degrees, m<EBF = 90 - 50 = 40 degrees.
help fast 15 points Which value of n makes this equation true? 57 – 1 9 5. A. n = -16 n = -2 n = 16
Answer:A) -16
Step-by-step explanation:
These diagrams show the same third-degree polynomial, P(x) = 2x3 + 5x2 + x + 10, divided by a linear factor and by a quadratic factor.
The third degree - polynomial can be factored into a linear factor of x+2 and a quadratic factor of 2x²+x+5.
A third degree polynomial is a collection of algebraic expressions such that the highest degree of the variable is 3 and there are no fractional degrees and exponential variable.
To factor a polynomial we will use the factor theorem to find the linear factor. Then by dividing the polynomial by the linear factor we will calculate the quadratic factor.
Given polynomial P(x) = 2x³ + 5x² + 7x + 10
Now by using the trial and error method factor theorem we see that
g(x) = (x+2) is a factor of P(x) .
Now let us find the quadratic factor as:
P(x) ÷ g(x) = ( 2x³ + 5x² + 7x + 10) ÷ (x+2) = 2x²+x+5
Hence the third degree - polynomial can be factored into a linear factor of x+2 and a quadratic factor of 2x²+x+5.
To learn more about polynomial visit:
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Disclaimer: The correct polynomial is P(x) = 2x³ + 5x² + 7x + 10 .
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what is the y-intercept of each function? f(x)=7(-x+3)
Answer:
21
Step-by-step explanation:
You have to distribute the 7 in this case:
f(x) = 7(-x + 3)
f(x) = -7x + 21
The y-intercept is the number without the x with it. So, with this function it is 21.
I hope this helps!!
- Kay :)
Find the solution of the system of equations.
– 2 – 8y = -30
2x + 8y = 36
Answer:
x= 1.5
y= 4.125
Step-by-step explanation:
Step one:
given the two equations
[tex]-2x - 8y = -30-------1\\\\2x + 8y = 36--------2[/tex]
Step two:
let us subtract the equations
[tex]-2x - 8y = -30-------1\\\\ -(2x + 8y = 36)--------2\\\\0x-16y=-66[/tex]
[tex]-16y=-66\\\\16y=66[/tex]
divide both sides by 16
[tex]y=66/16\\\\y=4.125[/tex]
put y= 4.125 in equation 2
[tex]2x + 8(4.125)= 36\\\\2x+33=36\\\\2x=36-33\\\\2x=3\\\\x= 3/2\\\\x= 1.5[/tex]
what did he do wrong
Answer:
He did not multiply 3 by the fraction 5/3.
Step-by-step explanation:
8/3=3c + 18/3
HELP PLSS I NEED THE ANSWERS ASAP PLSSS :((
Answer:
132 km :)))))))))))))))
Step-by-step explanation:
The Hint said to find the two things in comparison
they are:
99km----------→9litXkm----------→12litcross multiply the two equations
=99km*12lit=9lit*Xkm
=1188lit/km=9Xlit
note;
liters will annul liters
hence,
X=1188km/9
X = 132km
is the final answer
1 The distance on the number line from a to 7 is 0.5. Which of the following could be the value of a ? A) 7.5 B) -3.5 C 0.5 D 6.5
Answer:
6.5
Step-by-step explanation:
Answer:
6.5
Step-by-step explanation:
please help me............
Answer:
38.24
Step-by-step explanation:
You need to do 45.3-7.06 and you get x
What is the rate of change or slope?
Question 1 options:
m= 1/2
m=-2/1
m=-1/2 or m=-2/4
m=-2/1 or m=-4/2
Answer:
m=-1/2 or m=-2/4
Step-by-step explanation:
The rate of change or slope of the given line is [tex]m=-\frac{1}{2} or m=-\frac{2}{4}[/tex]
Given :
The graph of a line . To find out the slope or rate of change , we pick two points on the line.
Two points are (-8,2) and (4,-4)
Lets apply slope formula
[tex]Slope = \frac{y_2-y_1}{x_2-x_1}[/tex]
(-8,2) is (x1,y1)
(4,-4) is (x2,y2)
Substitute all the values inside the formula
[tex]Slope = \frac{y_2-y_1}{x_2-x_1}\\slope =\frac{-4-2}{4+8} =\frac{-6}{12} =-\frac{-2}{4} =-\frac{1}{2}[/tex]
The rate of change or slope of the given line is [tex]m=-\frac{1}{2} or m=-\frac{2}{4}[/tex]
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Use quadratic regression to find the
equation for the parabola going
through these 3 points.
(-7, 134) (-3, 10) (5, 50)
Given:
The three points are (-7,134), (-3,10) and (5,50).
To find:
The equation of parabola using quadratic regression.
Solution:
The general equation of quadratic regression is
[tex]y=ax^2+bx+c[/tex] ...(i)
The three points are (-7,134), (-3,10) and (5,50).
Using the graphing calculator, we get a=3, b=-1 and c=-20. Putting these values in (i), we get
[tex]y=3x^2+(-1)x+(-2)[/tex]
[tex]y=3x^2-x-2[/tex]
Therefore, the equation of parabola is [tex]y=3x^2-x-2[/tex] and the missing values in the given equation are 3, -1 and -20.
2(i + 3) > 4(1 - i)
[tex]2(i+3)>4(1-i)[/tex]
Distribute 2 in (i+3) and 4 in (1-i)
[tex]2i+6>4-4i[/tex]
Move -4i to another side and 6 to another side. When moving to another side, you'll have to change the sign/operator to opposite (Plus -> Minus, Multiply -> Divide)
[tex]2i+4i>4-6\\6i>-2\\[/tex]
For this part, move 6 to divide -2.
[tex]i>\frac{-2}{6} \\i>\frac{-1}{3}\\i>-\frac{1}{3}[/tex]
Whenever either a numerator or a denominator is in negative, we can pull out the negative in the middle of fraction.
Note that i is the symbol of imaginary number - as defined - i = √-1 But for this one, It's just a variable if I assume.
Thus, the answer is i > -1/3
4) What is the equation of the line that passes through the points (3,0) and 2 points
(5,4)?
Your answer
Emma can run 2 3/4 miles in 3/4 hour what is her average speed in miles per hour
Answer:The answer is 1/6
Step-by-step explanation:1/8 miles in 3/4 minutes
then, that means in 1 minute ( 1 min = 3/4 * 4/3) Emma will ride a distance of (1/8)*(4/3)= (1*4)/(8*3)= 1/6.
The answer is 1/6 (in 1 min she will ride 1/6 miles).
A customer purchased a total of 16 washcloths and towels. Each washcloth cost $10.50 and each towel cost $15.00. The customer spent $226.50 all together.
How many washcloths did the customer buy?
Answer:
3
Step-by-step explanation:
10.50 x 3 = 31.5
15 x 13 = 195
195 + 31.5 = 226.50
Your apartment is at (0, 0) on a coordinate plane. You want to go to Chicken Shack (CS) and get some tasty chicken tenders, with buffalo sauce, curly fries, ranch and a Diet Pepsi. Chicken Shack's (CS) location is at (3, 4) . After Chicken Shack (CS ), you go to Baskin Robbins (BR) with your two co-workers at the location (- 4, 4) . What is the total distance you traveled?
Answer:
The answer is below
Step-by-step explanation:
The distance between two points on a coordinate plane is given by:
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Given the location of the apartment (AP) is at A(0,0), the Chicken Shack's (CS) location is at C(3, 4) and Baskin Robbins (BR) is at the location B(- 4, 4). Hence the following distance are:
[tex]|AB|=\sqrt{(-4-0)^2+(4-0)^2} =4\sqrt{2}\ units\\\\|AC|=\sqrt{(3-0)^2+(4-0)^2}=5\ units \\\\|BC|=\sqrt{(3-(-4))^2+(4-4)^2}=7\ units[/tex]
Hence the total distance travelled = distance between the apartment and chicken shack +distance between apartment and Baskin Robbins + distance between Baskin Robbins and chicken shack
total distance travelled = AB + BC + AC = 4√2 + 7 + 5
total distance travelled = 17.66 units
Fabulous fitness charges a one time fee of $90 and an additional $25 per month wonder weights charges a one time fee of only $ 27 dollars but charges an additional $32 each month for how many months is fabulous fitness less expensive than wonder weights? Set up and solve an equality to determine your answer
Answer:
9 months
Step-by-step explanation:
Given
Fabulous fitness charges a one-time fee of $90 and an additional $25 per month
let the number of months be x
and the total charges be y
y= 25x+90---------1
Wonder weights charges a one-time fee of only $ 27 dollars but charge an additional $32 each month
let the number of months be x
and the total charges be y
y= 32x+27------------2
Required
The value of x, that is the number of months
Step two:
Equating both equations we have
25x+90=32x+27
collect like terms
25x-32x=27-90
-7x=-63
7x=63
divide both sides by 7
x= 63/7
x= 9 months