What is the equation of the line represented by the table below?
Х
-2
-1
0
1
2
y
16
11
6
1
-4
O A. y = -5x+9
B. y = -3x - 5
O C. y = -5x + 3
D. y = -5x + 6
Answer:
D. y = -5x + 6
Step-by-step explanation:
If we replace the values of x in the expressions we can find y. By replacing the values of x we see that the only option that has the correct values of y is the option D.
please help! need the answers in order to move on:) will give brainliest to correct answer!
Answer:
[tex]27^{\frac{1}{5} }[/tex] = [tex]\sqrt[5]{27}[/tex]
[tex]\sqrt[4]{256} = \sqrt[4]{2^{8} } = 2^{2} = 4[/tex]
[tex]a^{\frac{b}{c} } = \sqrt[c]{a^{b} }[/tex]
[tex]\sqrt[3]{125^{2} } = \sqrt[3]{ (5^{2})^{3} } = 5 ^{2} = 25[/tex]
[tex]\sqrt{112} = \sqrt{2^{4} * 7 } = 4\sqrt{7}[/tex]
Step-by-step explanation:
Triangle ABC has a height of 8 cm and an area of 42cm².
Calculate the length of BC.
BC must be base
Height=8cmArea=42cm^2We know
[tex]\boxed{\sf Area_{(Triangle)}=\dfrac{1}{2} Height\times Base}[/tex]
[tex]\\ \sf\longmapsto 42=\dfrac{1}{2}8BC[/tex]
[tex]\\ \sf\longmapsto 4BC=42[/tex]
[tex]\\ \sf\longmapsto BC=\dfrac{42}{4}[/tex]
[tex]\\ \sf\longmapsto BC=10.5cm[/tex]
BC must be base then
Area: 42cm²
Height: 8cm
Base: BC
1/2 × b × h = 42
1/2 × b × 8 = 42
b = 42/4
b = 21/2
BC = 21/2 or 10 1/2
Or 10.5cm
Must click thanks and mark brainliest
HELP! Select the reason why these triangles are
similar. If they are not, select "Not similar."
10
800
22
15
800
33
B. SAS
A. AA
D. Not similar
C. SSS
Answer:
SAS
Step-by-step explanation:
Part B: How much time does Eric spend playing volleyball every day? Show your work. (3 points)
Answer:
b = 35 minutes
Step-by-step explanation:
A)
How long he plays basketball = x
How long he plays volleyball = y
x + y = 95
x = y + 25
B) We will replace (x = y + 25) as x in the first equation
(y + 25) + y = 95
2y + 25 = 95
2y = 95-25
2y = 70
y = 70/2
y = 35
He plays volleyball for 35 minutes everyday
answered by g a u t h m a t h
What is the length of AC?
Because all the angles are congruent (the same), this is an equilateral triangle. All equilateral triangles have congruent angles and congruent sides, so all sides has to be 14.
Triangles and angles
Pls help
Answer:
The two bottom angles of this triangle are both represented by the same variable, in this case, an x. This means, that both of the bottom angles are equal to each other.
So we have:
32 + x + x = 180 (since the TOTAL angles of a triangle adds up to 180)
32 + 2x = 180 (combine the 2 x's together)
2x = 148 (subtract a 32 from both sides)
x = 74
Let me know if this helps!
A marina is in the shape of a coordinate grid. Boat A is docked at (2.4, -3) and Boat B is docked at (-3.4, -3). The boats are ___ units apart.
A 5.8
B 6.4
C 8.8
D 9.4
Find the value of c.
Answer:
86°
Step-by-step explanation:
(a+c)/2=86
in this case, a=c
so,
2c/2=86
or, c=86
x^2= 14x +11
------------
Answer:
[tex]x=7+2\sqrt{5} ,7-2\sqrt{5}[/tex]
Step-by-step explanation:
[tex]x^{2} =14x+11[/tex]
[tex]x^{2} -14x-11=0[/tex]
[tex]x\frac{-b\pm\sqrt{b^{2} -4ac} }{2(a)}[/tex]
[tex]x=\frac{14\pm\sqrt{(-14)^{2} -4(1)(-11)} }{2(1)}[/tex]
[tex]x=\frac{14\pm\sqrt{240} }{2}[/tex]
[tex]x=\frac{14\pm4\sqrt{15} }{2}[/tex]
[tex]x=7+2\sqrt{5} ,7-2\sqrt{5}[/tex]
------------------------
OAmalOHopeO
-----------------------
Answer:
Solution given:
x²=14x+11
keeping all term on same side
x²-14x-11=0
trying to make it a perfect square
x²-2*7*x+7²-7²-11=0
By using formula of (x-y)²=x²-2xy+y²we get
(x-7)²-60=0
keeping 60 in right side
(x-7)²=60
doing square root on both side
[tex]\frac{(x-7)²}=\sqrt{60}[/tex]
we get
x-7=[tex]\sqrt{5*3*2*2}[/tex]
x-7=±2[tex]\sqrt{15}[/tex]
So
x=7±2[tex]\sqrt{15}[/tex]
Either
x=7+2[tex]\sqrt{15}[/tex]or
x=7-2[tex]\sqrt{15}[/tex]Which set of whole numbers but not natural numbers
Answer:
C
Step-by-step explanation:
C is the set with whole numbers as it contains 0 and natural numbers
PLEASE HELP ASAP!!
Find the surface area of the regular pyramid shown in the accompanying diagram. If necessary, express your answer in simplest radical form.
A. 146.85 units²
B. 45+9√3 units²
C. 36+9√3 units²
D. 36+3√3 units²
The total surface area of the pyramid is 52 square units
The formula for calculating the area of the triangular based pyramid is expressed as;
[tex]TSA=Base \ Area+\frac{1}{2}ps[/tex] where;
p is the perimeter of the base
s is the slant height
Get the Base area
[tex]Base \ Area = \frac{1}{2}bh\\Base \ Area = \frac{1}{2}*6*\sqrt{5^2-3^2} \\ Base \ Area = \frac{1}{2}*6*\sqrt{25-9} \\ Base \ Area = \frac{1}{2}*6*\sqrt{16} \\ Base \ Area = \frac{1}{2}*6*4 \\ Base \ Area = \frac{24}{2} \\Base \ Area = 12 units^2[/tex]
Get the perimeter
Perimeter = 5 + 5 + 6
Perimeter = 16 units
Slant height = 5units
Substitute the given values into the formula above as shown;
[tex]TSA=12+\frac{1}{2}*16*5\\TSA=12+(8*5)\\\\TSA = 12 + 40\\TSA = 52 units ^2[/tex]
Hence the total surface area of the pyramid is 52 square units
Learn more here: https://brainly.com/question/23353623
Answer:
52squnits
Step-by-step explanation:
Please Help!!!!!
Prove that polynomials are not closed under division.
1/5√75 -10√1/2+√125-2√1/2
Answer:6.91239069507
Step-by-step explanation:
I need two people to help me… brainliest….
the function h(x) is a transformation of the square root parent function
Answer:
h(x)=\sqrt(x+6)
Step-by-step explanation:
I just did the test for a p e x
My brain has stopped working, can you answer this?
Answer:
$40.00, $30.00, B
Step-by-step explanation:
We can first write an expression for the cost of each plan.
Given x amount of texts and y amount of minutes, plan A costs 15 cents per text sent (so given x amount of texts, plan A costs 15 * x for texts) and 10 cents per minute (so given y amount of minutes, plan A costs 10 * y for minutes). Adding these up, plan A costs 15 * x + 10 * y. Plugging Jaden's 200 texts in for x and 100 minutes in for y, we have
15 * x + 10 * y = 15 * 200 + 10 * 100 = 4000 cents. 100 cents = 1 dollar, and the conversion rate for cents to dollars is divide by 100, so we divide 4000 cents by 100 to get $40.00 as the cost for plan A
For plan B, the flat rate is 15 dollars. To convert from dollars to cents, we multiply by 100, so 15 * 100 = 1500 cents for the flat fee.
Texts cost 5 cents per text, so 5 * x is the cost for texts in cents for plan B. Similarly, 5 * y is the cost for minutes in cents for plan B. Adding these up, we get
1500 + 5 * x + 5 * y
combine like terms
1500 + 5 * (x+y)
plug 200 in for x and 100 in for y
1500 + 5 * (200+100)
1500 + 5 * (300)
1500 + 1500
3000
divide by 100 to convert to dollars
$30.00 is the cost for plan B
$30 < $40, so plan B will be cheaper for Jaden
can anyone give me the inverse function of this with an explanation? BRAINLIESt?
fx=2-x^3
Answer:
Inverse of f(x) is ³√2-x
Step-by-step explanation:
let the inverse of f(x) be m :
[tex]{ \tt{2 - {x}^{3} = m}} \\ [/tex]
make x the subject:
[tex]{ \tt{ {x}^{3} = 2 - m}} \\ { \tt{x = \sqrt[3]{2 - m} }}[/tex]
substitute x for m:
[tex]{ \bf{f {}^{ - 1}(x) = \sqrt[3]{2 - x} }}[/tex]
Answer:
[tex]f^-^1(x)=\sqrt[3]{2-f(x)}[/tex]
Step-by-step explanation:
One is asked to find the inverse of the following function:
[tex]f(x)=2-x^3[/tex]
Keep in mind, finding the inverse of a function is the same as finding the function's opposite. Any easy trick to do so is to take the function and solve it for (x) in terms of (f(x)). This can be done using inverse operations and simplification. Once one has solved this function for (x), then one will put it in inverse function notation. Apply this idea to the given function,
[tex]f(x)=2-x^3[/tex]
[tex]f(x)-2=-x^3[/tex]
[tex]2-f(x)=x^3[/tex]
[tex]\sqrt[3]{2-f(x)}=x[/tex]
Put in inverse function notation,
[tex]f^-^1(x)=\sqrt[3]{2-f(x)}[/tex]
Banking You are going to open a certificate of deposit (CD) that earns simple
interest. One bank offers a CD in which you must deposit $500 for 3 years with
2% interest. Another bank offers a CD in which you must deposit $250 for
4 years
with 3% interest. Which CD will earn more interest?
Answer:
They will earn equal profit
Step-by-step explanation:
Intrest given by first bank=(500*3*2)/100=30
Intrest given by second bank=(250*3*4)/100=30
HELLLLPPPPP PLZZZZ!!!!
Answer:
width = 5 ft
Step-by-step explanation:
1.9 times of width = length
1.9*w = 9.5 ft
1.9w = 9.5
Divide both sides by 1.9
w = 9.5/1.9
w = 5 ft
Answer:
1.9w=9.5
w=width
1.9(w)=9.5
1.9(5)=9.5
Width(w)=5
please help me!!!!! its very very important!
Answer:
Does the answer help you?
the set is points indicated by 10. is the ___of the angle
Answer:
the points indicats exterior of the angle
Find the slope of the line that passes through (1, 13) and (4,9)?
hello could you please help me with this math problem with full explanation which I am unable to solve? Thanks a lot.
Area of a square is side^2
Diagonal of a square is sqrt(2) x side
Using this rewrite the area formula as :
1/2 x diagonal^2
Area = 1/2 x 40^2 = 800
Area = 800 m^2
Answer = b) 800m^2
I need a written response to solve all 4 steps
a. Find the slope of the line that passes through the points (2,-5) and (-2,3).
b. What are the slope and y-intercept of the equation 2x - 5y = -10?
c. Find the x value so that the line through the points (x,-9) and (0,1) has a slope of -4.
d. Write the equation of a line that passes through the point (-1,5) and has a slope of -7. Your answer should be given in the form y = mx + b.
Answer:
a. -2
b. s = 2 and y = -5
c. (2.5, -9)
d. -7x - 2
Step-by-step explanation:
a. In the image, I have used rise over run, which is -8/4 or -2.
b. slope formula is mx + b = y, where m is slope and b is the y-intercept. In the equation 2x - 5y = -10, 2 is the slope and -5 is the y-intercept.
c. Plug in all given numbers into an equation and the ones you do not have will be in the points you need it to be. Once you graph the equation you will receive (2.5, -9).
d. y = mx + b
5 = (-7)(-1) + b
5 = 7 + b
-2 = b
y = -7x - 2
Could someone help me solve this
How do you solve number 5?
Answer:
B
Step-by-step explanation:
To get from 60 to 75, you multiply by a certain factor. That factor is 75/60 = 1.25. In percents this is 125%
60 * 125% = 75
So if 60 is 100%, then 75 is 25% more than 60.
please help! What is the domain of the function shown on the graph?
Answer:A
Step-by-step explanation:
If y = 3x +1 were changed to y = x+1, how would the graph of the new function
compare with the original?
A. It would be shifted down.
B. It would be shifted up.
C. It would be less steep.
D. It would be steeper.
Answer:
Step-by-step explanation:
The standard form of a linear equation, a line, is y = mx + b, where m is the slope. The rule is the higher this value of m, the steeper the graph is. If we have the original equation y = 3x + 1, its slope m is 3; in the "new" equation, y = x + 1, its slope is 1. So the "new" equation would be less steep because the slope is a lower value than the original.
help me with the question of o.math
Answer:
A= 5 8 11
7 10 13
11 14 17
x=3 y=2 z=-1 w=1/2
Step-by-step explanation:
Let matrix A= a11 12 13
a21 a22 a23
a31 a32 a33
aij=2^i+3j
When i=1 and j=1,
aij=2^1+3*1=2+3=5
Solve for all the elements and you'll get,
A= 5 8 11
7 10 13
11 14 17
For no 7,
x+y 0 = 5 2w-1
1 x-y z+2 1
Equating,
x+y =5 z+2=1 2w-1=0 x-y=1
x=5-y z=-1 w=1/2 From 1st 5-y-y=1 -2y=-4 y=2
x=5-2(from last)
x=3