Answer: d. 21
Step-by-step explanation:
The formula to find a discriminant is b^2-4ac.
ax^2+bx+c is the quadratic equation. In your equation, -1 is a, -1 is b, and 5 is c. Now we can plug in the numbers into the discriminant formula b^2-4ac!
(-1)^2-4(-1)(5)=
1-4(-5)
1+20
21
The discriminant is 21.
Hope this helps!
Find the slope-intercept form of an equation for the line that passes through (–1, 2) and is parallel to y = 2x – 3.
Question 2 options:
a)
y = 2x + 3
b)
y = –0.5x – 4
c)
y = 2x + 4
d)
y = 0.5x + 4
Answer:
c) y= 2x +4
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the gradient and c is the y-intercept.
Parallel lines have the same gradient.
Gradient of given line= 2
m= 2
y= 2x +c
To find the value of c, substitute a pair of coordinates into the equation.
when x= -1, y=2,
2= 2(-1) +c
2= c -2
c= 2 +2
c= 4
Thus, the equation of the line is y= 2x +4.
The value of x in 3(x+5)=12
Answer:
x=-1
Step-by-step explanation:
3(x+5)=12
Step 1: Simplify both sides of the equation.
3(x+5)=12
(3)(x)+(3)(5)=12(Distribute)
3x+15=12
Step 2: Subtract 15 from both sides.
3x+15−15=12−15
3x=−3
Step 3: Divide both sides by 3.
3x
3
=
−3
3
x=−1
Answer:
x = -1
Step-by-step explanation:
3(x+5)=12
Divide each side by 3
3/3(x+5)=12/3
x+5 = 4
Subtract 5 from each side
x+5-5 = 4-5
x = -1
what is expected success
Answer:
Step-by-step explanation:
its basically the success you expect after the work you put in. success is not guarenteed here. thats all i got to say.
Answer: It is something you put a lot of time in to do something. Success is not Guarenteed here in this world. And that is a fact. I just started middle school and I barly past 6th grade. Life can be very hard for lot's of people. Don't give up because of one thing keep going. (And no I am not an old lady I am only 12 years old.) Have a very nice life. =D
Was this helpful to you.
PLEASE HELP Three subtracted from x is less than 20
Answer:
x < 23 (x is less than 23)
Step-by-step explanation:
x - 3 < 20
x < 20 + 3
x < 23 (x is less than 23)
Which ordered pair is a solution of this
equation?
9x - y = -7
Click on the correct answer.
(-2,-2)
(2,2)
(-2,-1)
(-1,-2)
Answer:
(-1,-2)
Step-by-step explanation:
I graphed the equation on the graph below so you can see that (-1,-2) is a solution.
Any ratio can be written as a complex ratio. Any ratio can be written as a
complex ratio. *
O True
O False
The given statement that any ratio can be written as a complex ratio is;
Option A; True.
A complex ratio is simple defined as a ratio to a ratio.For example if the numerator is a ratio/fraction and the denominator is also a ratio or fraction. Such as; (3/4)/(5/8), (2/3)/(4/5) e.t.c.
Now, let us say we have a simple ratio like 7/8. Now we can also express this as a complex ratio because;7 is same as 14/2
Also, 8 is the same as 24/3.
Thus, we can write that; 7/8 = (14/2)/(24/3)
From the example of converting a simple ratio to a complex one, we can see that any ratio can be converted to a complex ratio.Read more at; https://brainly.com/question/9280099
Which equation can be used to solve for c? sin(50o) = StartFraction 3 Over c EndFraction sin(50o) = StartFraction c Over 3 EndFraction cos(50o) = StartFraction c Over 3 EndFraction cos(50o) = StartFraction 3 Over c EndFraction
Right triangle ABC is shown.
Triangle A B C is shown. Angle A C B is a right angle and angle C B A is 50 degrees. The length of A C is 3 meters, the length of C B is a, and the length of hypotenuse A B is c.
Answer: The correct answer is option 1;
Sin 50° = StartFraction 3 Over c EndFraction
That is, Sin 50° = 3/c
Step-by-step explanation: Please refer to the picture attached for further details.
The right triangle ABC is given and the angle ACB is identified as the 90 degree angle (the right angle). Also the angle CBA is given as 50° and the side marked as AC is given as 3 units. Then, the other two sides are given as CB which is marked a and AB which is marked c.
The resulting right angled triangle as shown in the attached picture now has the hypotenuse as c. The opposite is 3 since its the side facing the reference angle, and the adjacent is a since its the side that lies between the reference angle and the right angle.
Using the reference angle which is given as 50, side c can now be solved using the trigonometric ratio as follows;
Sin 50 = opposite / hypotenuse
Sin 50 = 3/c
Answer:
answer is sin(50*) = 3/c
Step-by-step explanation:
During a football game, a quarterback decides to run the ball 45 yards to score a touchdown. How many feet did
he run to score the touchdown? (round to whole number)
Answer:
135
Step-by-step explanation: 45 times 3
Answer:
135 feet
Step-by-step explanation:
a yard is a little more than a foot and we just round to
1 yard = 3feet so 45*3 is 135 feet
find the slope of the line that passses thruogh 1,5 and 10,9
The answer is 4/9
please see the attached picture for full solution
Hope it helps
Good luck on your assignment
Tara's car travels about 25 miles on one gallon of gas. She has between 10 and 12 gallons of
gas in the tank. Identify the independent and dependent quantity in the situation. Find
reasonable domain and range values.
A. number of gallons of gas; distance traveled; 10 to 12 gallons; 100 to 120 miles
B. number of gallons of gas; distance traveled; 10 to 12 gallons; 250 to 300 miles
C. distance traveled; number of gallons of gas; 10 to 12 gallons; 250 to 300 miles
D. distance traveled; number of gallons of gas; 250 to 300 miles; 10 to 12 gallons
Answer:
B
Step-by-step explanation:
The independent value is the number of gallons of gas and the dependent value is the distance traveled, because the distance traveled is affected by how much gas is in the tank.
It is also 250 to 300, because 10 and 12 (numbers of how many gallons of gas are in the tank) multiplied by 25 (miles traveled on one can of gas) equals 250 and 300.
The distance traveled; the number of gallons of gas; 250 to 300 miles; 10 to 12 gallons. Then the correct option is D.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Tara's car travels about 25 miles on one gallon of gas. She has between 10 and 12 gallons of gas in the tank.
The distance traveled in 10 gallons of gas will be
⇒ 25 x 10
⇒ 250 miles
The distance traveled in 12 gallons of gas will be
⇒ 25 x 12
⇒ 300 miles
The distance traveled; the number of gallons of gas; 250 to 300 miles; 10 to 12 gallons. Then the correct option is D.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
What value of x will make the triangles similar by the sss similarity theorem?
Answer:
28
Step-by-step explanation:
a line passes through the point (2, -9) and has a slope of -6, what is the equation for this line?
Answer:
Step-by-step explanation:
y + 9 = -6(x - 2)
y + 9 = -6x + 12
y = -6x + 3
An equation of the circle whose center is the origin and
which passes through the point (3,0) is
A (x – 3)2 + y2 = 9
B (x – 3)2 + y2 = 3
© x2 + y2 = 9
O x + y2 = 3
Answer:
[tex]\fbox{\begin{minipage}{10em}Option C is correct\end{minipage}}[/tex]
Explanation:
A circle whose center is [tex](a, b)[/tex] and radius [tex]r[/tex], has equation:
[tex](x - a)^{2} + (y - b)^{2} = r^{2}[/tex]
The center of circle is given as origin [tex](0, 0)[/tex], therefore:
[tex]a = 0\\b = 0[/tex]
This circle passes [tex](3, 0)[/tex], then the radius of circle is the distance [tex](d)[/tex] between origin [tex](0, 0)[/tex] and [tex](3, 0)[/tex]
[tex]d = \sqrt{(0 - 3)^{2} + (0 - 0)^{2} } = \sqrt{3^{2} } = 3[/tex]
=> [tex]r = d = 3[/tex]
Substitute [tex]a[/tex], [tex]b[/tex], and [tex]r[/tex] back into original equation:
[tex](x - 0)^{2} + (y - 0)^{2} = 3^{2}[/tex]
or
[tex]x^{2} + y^{2} = 9[/tex]
Hope this helps!
:)
2 Points
The table shows the number of weeks of vacation employees receive each
year, based on the number of years they have been employed. What does
(15) = 5 mean in terms of the problem?
Years of
Service
Weeks of
Vacation
1
2.
1
2
5
10
15
20
30
3
4
5
6
8
O A. There are 5 workers who have 15 years of service each
OB. A worker took 5 weeks of vacation in 15 years.
O C. A worker with 15 years of service gets 5 weeks of vacation each
year
OD. A worker with 5 years of service gets 15 weeks of vacation each
year
SUBMIT
The answer to your question is 3
A.line d
B.line c
C.line b
D.line a
Answer:
B. Line c
Step-by-step explanation:
looking at the points, 3, -2 is on line c.
// have a great day //
(x³-4x²+7x-5)+(13x-15x²+x³)
Answer:
2x^3−19x^2+20x−5
Step-by-step explanation:
combine the x's and numbers, when fully simplified:
2x^3−19x^2+20x−5
Answer:
[tex]\sf 2x^3-19x^2+20x-5[/tex]Step-by-step explanation:
[tex]\sf\left(x^3-4x^2+7x-5\right)+\left(13x-15x^2+x^3\right)[/tex]
[tex]\sf x^3-4x^2+7x-5+13x-15x^2+x^3[/tex]
[tex]\sf x^3+x^3-4x^2-15x^2+7x+13x-5[/tex]
[tex]\sf 2x^3-4x^2-15x^2+7x+13x-5[/tex]
[tex]\sf 2x^3-19x^2+7x+13x-5[/tex]
[tex]\sf 2x^3-19x^2+20x-5[/tex]
what is the volume of the pizza box?
Answer: A
Step-by-step explanation: we need to do 5/4*5/4*1/4. All of these multiplied by each other would be 25/64, so the answer is A.
QUESTION 3 (3 points)
Convert the following quadratic into standard form. Show all work.
f(x) = 3(x - 5)² - 40
Answer:
3x^2- 30x+35=f(x)
Step-by-step explanation:
3(x^2+25-10x)-40
3x^2+75-30x-40
3x^2- 30x+35=f(x)
Find x in the given figure if m∠AOC = 130°. Question 7 options: A) –14 B) 8 C) 10.5 D) 14
Answer:
B) x=8
Step-by-step explanation:
To solve, we must find x like so:
We know that angle AOC = 130, so adding AOB and BOC will equal 130, then we solve for x.
[tex](6x-5)+(8x+23)=130\\6x-5+8x+23=130\\14x+18=130\\14x=130-18\\14x=112\\x=\frac{112}{14}\\x=8[/tex]
URGENT HELLPPP!!!
WILL GIVE BRAINLIEST IF WANTED AND 50 POINTS
The diagram shows a trapezium ABCD.
The co-ordinates of the four vertices are shown.
The coordinates of the trapezium are: Point A 3, 5; Point B 10, 5; Point C 12, 1; Point D is 1, 1.
Work out the area of the trapezium.
Answer:
the area is 36
Step-by-step explanation:
Answer:
[tex]36[/tex] units
Step-by-step explanation:
[tex](a+b)\frac{1}{2} h[/tex]
[tex](7+11)\frac{1}{2} (4)[/tex]
[tex]\frac{18}{2}(4)=36[/tex]
Evaluate this expression
Answer:
0
Step-by-step explanation:
2(a+3)/b
Let a=-3 and b=2
2(-3+3) / 2
2(0)/2
0/2
0
Answer:
0
Step-by-step explanation:
We are given the expression:
2(a+3)/b
We know that a= -3 and b=2. Therefore, we can substitute -3 in for a and 2 in for b.
2(-3+3)/2
Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition, Subtraction.
Solve inside the parentheses first. Add -3 and 3.
2(0)/2
Multiply 2 and 0.
0/2
Divide 0 by 2
0
what is the relationship between angles 1 and 2?
Answer:
supplementary
Step-by-step explanation:
∠ 1 and ∠ 2 are adjacent angles and supplementary.
Answer:
Angles 1 and 2 are supplementary angles.
Step-by-step explanation:
This means that angles 1 and 2 add up to 180 degrees.
I need help with finding the sum of (x^4 + 2x^3 - 7x - 9) + (x^5 - 2x^4 + 8x + 18) in standerd form
my answer is x^5 - x^4 + 2x^3 + x^2 + 9
is this correct
Answer:
Step-by-step explanation:
(x^4 + 2x^3 - 7x - 9) +
(x^5 - 2x^4 + 8x + 18)
x^5 - x^4 + 2x^3 + x + 9
What’s the factor for x2 - 1.44
Answer:
Step-by-step explanation:
(5x + 6) • (5x - 6)
—————————
25
I will give the brainliest answer
Answer:
The answer is B.
Step-by-step explanation:
The shape form a Rectangular Pyramid.
Answer:
B, a Pyramid
Step-by-step explanation:
The net has a square base with 4 triangular faces. D, which is also a triangular prism, is not right as it has a triangular base, with every side being a triangle.
So B is the right answer.
In Circle S with MRST=118 and RS=8 units, find the length of arc RT. Round to the nearest hundredth
Answer:
RT ≈ 16.48 units
Step-by-step explanation:
The measure of arc RT is calculated as
RT = circumference of circle × fraction of circle
= 2πr × [tex]\frac{118}{360}[/tex]
= 2π × 8 × [tex]\frac{118}{360}[/tex]
= 16π × [tex]\frac{118}{360}[/tex] ≈ 16.48 ( to the nearest hundredth )
The length of the arc RT is 8.23 units.
What are the properties of an arc?The characteristics of a circle's arc are:
Measured in linear measures like centimetres, inches, or metres, the arc length is the distance along the arc. It is proportionate to the angle that the arc and circle's centre make.The arc measure, which is expressed in degrees or radians, is the magnitude of the angle that is produced between the centre of the circle and the arc. It varies in accordance with the arc length.Since angle RST is 118 degrees, it subtends 118/360 = 0.3278 (rounded to four decimal places) of the full circumference of the circle. Therefore, the length of arc RT is:
length of arc RT = (0.3278) * (2 * π * radius)
where the radius is half the length of RS. Since RS is given as 8 units, the radius is 4 units. Substituting this into the formula, we get:
length of arc RT = (0.3278) * (2 * π* 4) = 2.0684 * π
Rounding to the nearest hundredth, we get:
length of arc RT ≈ 8.23 units.
Learn more about arc here:
https://brainly.com/question/18741430
#SPJ2
Please help me with the question below
Answer: B) y=4n+8
Step-by-step explanation:
in these type of questions, I use the strategy of trial and error, lets look at the first choice, y=4n+12, if we look at the first term, and substitute the numbers on the equation, we would get y=4(1)+12, which is y=16 which tells us that there are 16 shaded squares in the first term which is not true, then we move on to the next answer. Using this strategy, there is only one answer that makes sense which is B) y=4n+8, Just to make sure if we look at the first term, and use the formula, we get y=4(1)+8, which gives us y=12 which is true.
Hope it helped
HLP ! HLP ! HLP ! Last one
7
What is the inverse of the statement below?
If a quadrilateral has four right angles, then it is a rectangle.
A.
If a quadrilateral is a rectangle, then it has four right angles.
OB.
If a quadrilateral does not have four right angles, then it is a rectangle.
OC.
If a quadrilateral does not have four right angles, then it is not a rectangle.
D.
If a quadrilateral is not a rectangle, then it does not have four right angles.
Answer:
a if a quadrilateral is a rectangle, then it has four right angles
Step-by-step explanation:
when you know a quadrilateral is a rectangle it has two short sides and two long sides and it has four right angles
If a large tree is 22 feet tall and a smaller tree is 3/4 of the larger tree's height, then how tall is the
smaller tree?
Answer:It should be 16.5 or 16 1/2.
Step-by-step explanation:
22•3/4