Answer:
[tex]x = 3[/tex]
Step-by-step explanation:
Given
[tex]y = -2x^2 + 12x +7[/tex]
Required
The x coordinate of the vertex
Using the general form:
[tex]y = ax^2 +bx +c[/tex]
The x coordinate is:
[tex]x = -\frac{b}{2a}[/tex]
In [tex]y = -2x^2 + 12x +7[/tex]
[tex]a = -2[/tex]
[tex]b = 12[/tex]
[tex]c = 7[/tex]
So, we have:
[tex]x = -\frac{b}{2a}[/tex]
[tex]x = -\frac{12}{2*-2}[/tex]
[tex]x = -\frac{12}{-4}[/tex]
[tex]x = \frac{12}{4}[/tex]
[tex]x = 3[/tex]
Need help !! Plz!!!??!
Answer:
here, diameter is 4 cm
radius=diameter/2
=4/2 cm
=2 cm
now use formula pie (r)^2 where pie is 3.14
=pie *(r)^2
=3.14*(2cm)^2
=12.56 cm^2
Step-by-step explanation:
Evaluate (3.4x10 4) (4.5x10 3).write your answer in scientific notation
Answer:
1.5×10^8
Step-by-step explanation:
Scientific notation can be regarded as
way to express large or too small numbers conveniently written in decimal form.
Given (3.4x10 4) (4.5x10 3).
To write your in scientific notation
3.4x10^4) (4.5x10^3)
This is multiplication
(3.4x10^4) ×(4.5x10^3)
(3.4x10^4)= 34000
(4.5x10^3)= 4500
Then multiply
4500 × 34000
= 153000000
= 1.5×10^8
Un terreno cuadrangular mide 1/4 km de un lado y 1/6 km del otro lado. El area es 1/24.
Calcula el perímetro.
Which is an expression in square units that represents the area of the shaded segment of center ofOC
A: 1/4 r^2(3.14-4)
B: 1/4pier^2
C: 1/4pier^2-2r^2
D: 1/2r^2(1/2pie-1)
9514 1404 393
Answer:
D
Step-by-step explanation:
The formula for the area of a segment is ...
A = 1/2r²(θ -sin(θ))
for radius r and central angle θ.
Here, we have θ = π/2, so this becomes ...
A = 1/2r²(π/2 -1) . . . . . matches choice D
what is it to the nearest whole degree? NO DECIMALS !
Answer:
62 degrees.
Step-by-step explanation:
Write the equation of the circle that is centered at (- 13, - 2) and has a diameter of 24^ *
Step-by-step explanation:
Given :-
Centre = (-13,-2) Diameter = 24And we need to find out the equation of the circle. Since the diameter is 24 u therefore it's radius will be 12 u . Now we can use the Standard equation of circle to find out the equation .
Standard equation of circle :-
[tex]\implies (x-h)^2+(y-k)^2 = r^2 [/tex]
Where (h,k) is centre and r is radius.[tex]\implies (x-(-13))^2+(y-(-2))^2 = 12^2 \\\\\implies ( x+13)^2+(y+2)^2=144 \\\\\implies x^2+169+26x+y^2+4+4y=144\\\\\implies x^2+y^2+26x+4y+ 29 =0[/tex]
WILL
GIVE BRAINLIST
C
C
C
C
C
Answer: September
Step-by-step explanation:
The bar for September is the highest above the horizontal axis.
Find the measure of angle QZT.
========================================================
Explanation:
Minor arc QV is 80 degrees because it adds to minor arc VU = 100 to get 80+100 = 180. Note how angle QPU = 180, since it's a straight line and QU is a diameter of the circle.
Add up the minor arcs
TUUVVQto get: 44+100+80 = 224
This means arc TUQ is 224 degrees. Inscribed angle QZT subtends arc TUQ. Use the inscribed angle theorem to say that the inscribed angle is half of the arc it cuts off.
angle QZT = (arc TUQ)/2
angle QZT = 224/2
angle QZT = 112 degrees
The volume of the rectangular prism is 240 cubic meters. What is the width of the prism?
5 meters would be the answer I believe.
12 x 4 = 48
240/48 = 5
Answer:
5
Step-by-step explanation:
hope this helps :)
Can someone plz help with this? Thank you so much.
Answer:
A. 3
Step-by-step explanation:
[tex]y = 3x - 8 \\ at \: (6, \: 1) \\ \frac{dy}{dx} = 3 \\ at \: (x, \: y) \\ gradient = \frac{y - 1}{x - 6} \\ 3 = \frac{y - 1}{x - 6} \\ y - 1 = 3(x - 6)[/tex]
Help please I’m confusion
Solve the proportion then around your answer to the nearest hundredth
help me pls I'll give you briliantest if you give me the right answer and no links
Answer:
8
Step-by-step explanation:
your welcome hope this helps :)
solve this inequality 2(4x+1)<3(2x-3)
Answer:
x<-11/2
Step-by-step explanation:
but don't trust me too much bestie
The mean temperature for the first 4 days in January was 1°C.
The mean temperature for the first 5 days in January was 3°C.
What was the temperature on the 5th day?
Answer:
Step-by-step explanation:
mean is average, so if we label the first through fifth days of january a-e we can solve it.
So average of the first four is (a+b+c+d)/4 = 1 and the first five is (a+b+c+d+e)/5 = 2. Since it's easy, let's get rid of the fraction in both.
(a+b+c+d)/4 = 1 and (a+b+c+d+e)/5 = 2
a+b+c+d = 4 and a+b+c+d+e = 10
Now, we know a+b+c+d is 4, so we can replace that in the second equation
a+b+c+d+e = 10
4 + e = 10
e = 6
ad since e is the fifth day, we know the temperature of it. Let me know if something here didn't make sense
WHAT IS 22 DIVIDED BY TAN 75?? please help me!!!! i’m taking a math test i need a good grade! (question in picture)
Answer: -52.2936778905
Step-by-step explanation:
measure of the angle labeled?
Given:
The figure of a circle.
The measure of arc SR = 75 degrees.
Measure of angle RSQ = 95 degrees.
To find:
The measure of SQ.
Solution:
Let us consider, O be the center of the circle.
According to the central angle theorem, the measure central angle on an arc is twice of inscribed angle on the corresponding angle.
Using the central angle theorem, we get
[tex]m\angle QOR=2\times m\angle RSQ[/tex]
[tex]m\angle QOR=2\times (95^\circ)[/tex]
[tex]m\angle QOR=190^\circ[/tex]
It is the central angle on major arc QR.
We know that the measure of complete central angle is 360 degrees.
The central angle on minor arc QR is:
[tex]360^\circ -190^\circ =170^\circ[/tex]
It means the measure of arc RSQ is 170 degrees.
[tex]m(arc RS)+m(arc SQ)=m(arcRSQ)[/tex]
[tex]75^\circ+m(arc SQ)=170^\circ[/tex]
[tex]m(arc SQ)=170^\circ -75^\circ[/tex]
[tex]m(arc SQ)=95^\circ[/tex]
Therefore, the measure of arc SQ is 95 degrees.
NO LINKS, NO OTHER SITES, 100 POINTS
To solve the system of linear equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 by using the linear combination method, Henry decided that he should first multiply the first equation by –3 and then add the two equations together to eliminate the x-terms. When he did so, he also eliminated the y-terms and got the equation 0 = 0, so he thought that the system of equations must have an infinite number of solutions. To check his answer, he graphed the equations 3 x minus 2 y = 4 and 9 x minus 6 y = 12 with his graphing calculator, but he could only see one line. Why is this? because the system of equations actually has only one solution because the system of equations actually has no solution because the graphs of the two equations overlap each other because the graph of one of the equations does not exist
Answer:
because the graphs of the two equations overlap each other
Step-by-step explanation:
Equations that have an infinite amount of solutions overlap each other when graphed.
This is because equations with an infinite amount of solutions have a similar equation so when graphed you only see one line
Jaiden painted his room 2/6 white and 1/3 purple. what fraction of his room was not white or purple
Answer: 1/3
Step-by-step explanation: Since 2/6=1/3 we could just add those together and find out that 2/3 is painted and 1/3 isn't.
Answer:
1/3 is the answer add white and purple fraction which give 2/3 so 1/3 would be left
hope this helps
have a good day :)
Step-by-step explanation:
What is 5/6 divided by 1/4 in simplest form?
Answer:..
Step-by-step explanation:
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
GOLF Sky is a member of her school’s golf team. The table shows her scores from each of her matches. What was her average golf score? Round to the nearest tenth if necessary.
Table:
72|69|72
71 |71|69
68|72|68
Answer:
72,70,72, 71,71,70,69,72,69
I really didn't understand the question or what to do, but I tried.
Step-by-step explanation:
PLZ AWNSER I HAVE 10 MIN TIMER PLZ HELP ME
What would you do to solve the system?
System of equations
Click on the correct answer.
12x = 48 - 8y
10x + 8y = 38
?
Add the equations.
12x = 48 - 8y
10x = 38 - By
Subtract the equations.
3. To decide whether to add or subtract,
determine if the values of the
coefficients are the same or opposites:
. If the values are the same, subtract the
equations.
• If the values are opposites or additive
inverses, add the equations.
Remember, you're trying to remove one
variable.
Answer:
To decide whether to add or subtract, determine if the values of the coefficients are the same or opposites:
. If the values are the same, subtract the equations.
• If the values are opposites or additive inverses, add the equations.
Step-by-step explanation:
Given
[tex]12x = 48 - 8y[/tex]
[tex]10x + 8y = 38[/tex]
Required
How to solve
Options (1) and (2) are incorrect because none of the options eliminate x or y.
For option (3),
- Check for the coefficients of x and y
- If they are the same (sign and value), then subtract; otherwise add
For instance:
[tex]12x = 48 - 8y[/tex]
[tex]10x + 8y = 38[/tex]
Rewrite the second equation
[tex]12x = 48 - 8y[/tex]
[tex]10x = 38 - 8y[/tex]
The coefficient of y are the same, so we subtract;
[tex]12x - 10x = 48 - 38 -8y -(-8y)[/tex]
[tex]12x - 10x = 48 - 38 -8y +8y[/tex]
[tex]2x = 10[/tex]
[tex]x= 5[/tex]
See that y has been eliminated
Which group of numbers could be the measures of the sides of a right
triangle?
Answer:
it's B. i individually solved all of them using the pythagorean theorem.
Step-by-step explanation:
"The Pythagorean theorem states that, in a right triangle, the square of the length of the hypotenuse (the side across from the right angle) is equal to the sum of the squares of the other two sides. So if the length of the hypotenuse is c and the lengths of the other two sides are a and b, then c^2 = a^2 + b^2"
sqrt61=6+5
square everything on both sides and ur left with
61=36+25
61=50+11
61=61
boom
help lol -30=5(x+1) x= ?
1.Distribute
-30=5(x+1). x
[tex]-30=5x^{2}+5x[/tex]
2. Move terms to the left side
[tex]-30=5x^{2} +5x[/tex]
[tex]-30-(5x^{2} +5x)=0[/tex]
3. Rearrange terms
[tex]-30-5x^{2} -5x=0[/tex]
[tex]-5x^{2} -5x-30=0[/tex]
Hope this helps! Sorry if I'm wrong
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\text{ORIGINAL EQUATION}\downarrow[/tex]
[tex]\large\textsf{ -30 = 5(x + 1)}[/tex]
[tex]\large\text{TURN the EQUATION}[/tex]
[tex]\large\textsf{5(x + 1) = -30}[/tex]
[tex]\large\text{DISTRIBUTE \textsf{5} WITHIN the PARENTHESES}[/tex]
[tex]\large\textsf{5(x) + 5(1) = -30}[/tex]
[tex]\large\textsf{5(x) = \bf 5x}\\\large\textsf{5(1) = 5}[/tex]
[tex]\rightarrow\large\textsf{5x + 5 = -30}[/tex]
[tex]\large\text{NEW EQUATION: \textsf{5x + 5 = -30}}[/tex]
[tex]\large\text{SUBTRACT \textsf{5} to BOTH SIDES}[/tex]
[tex]\large\textsf{5x + 5 - 5 = -30 - 5}[/tex]
[tex]\large\text{CANCEL out: \textsf{5 - 5} because that gives you \textsf{0}}[/tex]
[tex]\large\text{KEEP: \textsf{-30 - 5} because that helps you solve for your \textsf{x-value}}[/tex]
[tex]\large\textsf{-30 - 5 = \bf -35}[/tex]
[tex]\large\text{NEW EQUATION: \textsf{5x = -35}}[/tex]
[tex]\large\text{DIVIDE \textsf{5} to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{5x}{5}= \dfrac{-35}{5}}[/tex]
[tex]\large\text{CANCEL out: }\mathsf{\dfrac{5x}{5}}\large\text{ because that gives you the value of \textsf{1}}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{-35}{5}}\large\text{ gives you the \textsf{x-value}}[/tex]
[tex]\large\textsf{x = }\mathsf{\dfrac{-35}{5}}[/tex]
[tex]\large\text{SIMPLIFY ABOVE \& YOU HAVE YOUR x-value}[/tex]
[tex]\boxed{\boxed{\large\textsf{ANSWER: \huge \bf x = -7}}}\huge\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Need help with using the graph to find the numbers
Assignment is about evaluating composition of functions from graphs anything helps
Answer:
f(2) = -3
g(-3) = -5
Step-by-step explanation:
----------------------
Write the formula for the parabola that has x- intercepts (3,0) and (8,0), and y- intercept (0,−2)
Answer:
(-1/12)(x-3)(x-8)
or
[tex]-\frac{x^2-11x+24}{12}[/tex]
Step-by-step explanation:
If something has x intercepts of (3,0) and (8,0) we can write the following
y=(x-3)(x-8)
To make the y intercept (0,-2) we will mulitply this by some constant, a
y=a(x-3)(x-8)
to solve for a set y= -2 and x=0
a(0-3)(0-8)= -2
a(-3)(-8)= -2
24a= -2
a= -1/12
Which means our final equation is
(-1/12)(x-3)(x-8)
which in standard form is equal to
[tex]-\frac{x^2-11x+24}{12}[/tex]
Sarah and all of her siblings have brown hair. She concludes that if her parents have another child, he or she will have brown hair. Is this an example of inductive or deductive reasoning?
a) Deductive.
b) Inductive.
c) Both deductive and inductive.
d) Neither deductive nor inductive.
Answer:
b) Inductive
Step-by-step explanation:
It is correct to say that this is an example of inductive reasoning, because the reasoning is based on a situational perception and not on actual logic. Sarah based her reasoning on a premise that if she and her brothers have brown hair, then if she had another brother, he would also have brown hair.
What is the surface area of the solid that this net can form?
ווווו 8
וחון 25
8 mm
5 mm
5 mm
8 mm
8 mm
5 mm
5 mm
8 mm
8 mm
25 mm
O 730 square millimeters
875 square millimeters
O 1,000 square millimeters
Answer:
CAN NOT SEE SHAPE
Step-by-step explanation: