Answer:
do you have a graph of the line?
Question
Which of the following is equivalent to x2 – 5x + 6?
o (x - 2)(- 3)
o (x - 2)(x+3)
o (x+6)(x - 1)
o (x-6)(x + 1)
Answer:
Option one (x-2)(x-3)
Step-by-step explanation:
We have x²-5x+6 =0
X²-3x-2x+6=0
X(x-3)-2(x-3)=0
(x-2)(x-3)=0
use the cross products property to solve the proportion 10/7 equals 8 / K what does k equal
Answer:
5.600
Step-by-step explanation:
Beth can buy T-shirts in packs of 5 for $5.55 or in packs of 2 for $4.82. How much money does she save by buying 40 T-shirts at a better price?
Answer:
$52
Step-by-step explanation:
Given data
Beth can buy T-shirts in packs of 5 for $5.55
Cost per shirt
=5.55/5
=$1.11
To buy 40 shirt
=1.11*40
=$44.4
In packs of 2 for $4.82
cost per shirt
=4.82/2
=$2.41
To buy 40 shirt
=2.41*40
=$96.4
Hence the best buy in packs of 5 for $5.55
and the cost per shirt is $1.11
He will save
=96.4-44.4
=$52
Stephen is taking a math test. There are 4 multiple choice questions, and each question has five possible answers. How many different
ways can Stephen complete the answer sheet?
To approach the runway, a pilot of a small plane must begin a 5 degree descent starting from a height of 1266 feet above the ground. To the nearest tenth of a mile, how many miles from the runway is the airplane at the start of this approach?
Answer:
2.8 miles
Step-by-step explanation:
From the attached sketch of the solution diagram, let x = distance of plane from runway :
The sketch gives a right angled triangle ; hence, we can apply trigonometry :
To obtain x :
Sin θ = opposite / hypotenus
Sin 5 = 1266 / x
0.0871557 * x = 1266
x = 1266 / 0.0871557
x = 14525.720 feets
Converting feets to mile :
1 mile = 5280 feets
14525.720 feets = 14525.720 / 5280
2.751 miles
To the nearest tenth of a mile ; 2.8 miles
there are three questions I am giving 15 points
The angles of a trapezium are x, 2x, 3x
and 4x. Calculate the value of the second
smallest angle.
3x+9y=12
-3x-6y=18
Solve the system by using elimination
Answer: (x, y) = (-26, 10)
This means x = -26 and y = 10 pair up together
===============================================================
How to get that answer:
Add the equations straight down. Think of having 3 separate columns for the three different like terms.
3x + (-3x) becomes 0x and that's just 0. So the x terms go away9y + (-6y) is the same as 9y-6y which turns into 3y12 + 18 becomes 30After all that, we're left with the simpler equation 3y = 30. That solves to y = 10 after dividing both sides by 3.
Plug this back into any equation involving x and y. Solve for x
3x+9y = 12
3x+9(10) = 12
3x+90 = 12
3x = 12-90
3x = -78
x = -78/3
x = -26
We have found that x = -26 and y = 10 pair up together to form the solution.
-------------------
Checking the answer:
Plug (x,y) = (-26, 10) into the first equation
3x+9y = 12
3(-26)+9(10) = 12
-78+90 = 12
12 = 12
We get a true equation since the same thing is on both sides.
Repeat the same idea for the second equation
-3x-6y = 18
-3(-26) - 6(10) = 18
78 - 60 = 18
18 = 18
The second equation is true as well.
Both equations are true, so the solution (x, y) = (-26, 10) is confirmed.
Answer:
-26, 10
Step-by-step explanation:
See the steps below:)
Evaluate 150 – (2 + x) when x = 2.
The value of the expression is
The value of the expression is 86.
To evaluate the given expression, we need to simply put the given value of x in the mentioned expression. Subsequently, further operations will be performed based on the sequence in order of operators.
Value = 150 - (2 + x)³
Keep the value of x in the mentioned expression
Value = 150 - (2 + 2)³
Performing addition inside the bracket to find the value
Value = 150 - 4³
Taking cube on Right Hand Side of the equation
Value = 150 - 64
Performing subtraction to find the value of equation
Value = 86
Hence, the evaluation will give the result 86.
Learn more about evaluation of expression -
https://brainly.com/question/4344214
#SPJ1
Answer number 7 and 8 I will pick the right answer
Answer:
grrrr
Step-by-step explanation:
What is the length of the hypotenuse?
12
5
X=
Help
Answer:
x = 13
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
5^2 + 12^2 = x^2
25+144 = x^2
169 = x^2
Taking the square root of each side
sqrt(169) = sqrt(x^2)
13 =x
Answer:
13
Step-by-step explanation:
[tex] \sqrt{5^{2} + 12^{2}} = \sqrt{169} \\ \\ \sqrt{169} = 13[/tex]
a²+b²=c²
Write the polynomial in standard form.
3x + 1 − 4x3 + 6x6 −2x2
Answer:
23x+1........ .... .........
Aeg = 10 solve for g
A rectangle has an area of 244.48 square meters and a base of 19.1 meters. What is the height ?
Answer:
12.8 square meters
Step-by-step explanation:
244.48/19.1=12.8
If you roll the die 60 times, how many twos can you expect to roll?
Answer:
10
Step-by-step explanation:
Rolling a single six-sided die, you would get two 1/6th of the time because there is one two out of the six sides.
So 60 rolls would be 60*(1/6)=60/6=10
The sides of a rectangle are in the ratio 2:5. If the longer side of the rectangle is 25.5
in., what are its width, perimeter, and area?
Plz help
Answer: The width is 10.2 inches, the perimeter is 71.4, the area is 260.1.
Step-by-step explanation: So first i divided 25.5/5 which equals 5.1. The ratio is 2:5 so I know that i have to multiply 5.1x2 which is 10.2, thats how you get the width. The perimeter I just did 25.5+25.5+10.2+10.2 =71.4. For the area I just multiplied 25.5x10.2=260.1.
The width of the rectangle is 10.2 inches.
The perimeter of the recatngle is 71.4 inches.
The area of the rectangle is 260.1 square inches.
What is the perimeter of rectangle?The perimeter of rectangle is given by;
[tex]\rm Perimeter \ of \ rectangle=2 (Length + width)[/tex]
The sides of a rectangle are in the ratio 2:5.
If the longer side of the rectangle is 25.5.
The shortest side of the rectangle is;
[tex]=\dfrac{25.5}{5}\\\\=5.1 \rm \ inches[/tex]
The width of the rectangle is;
[tex]\rm Width=2\times 5.1\\\\Width =10.2[/tex]
The width of the rectangle is 10.2 inches.
The perimeter of the recatngle is;
[tex]\rm Perimeter \ of \ rectangle=2 (Length + width)\\\\\rm Perimeter \ of \ rectangle=2 (25.5+10.2)\\\\\rm Perimeter \ of \ rectangle=2 \times 35.7\\\\\rm Perimeter \ of \ rectangle=71.4 \ inches[/tex]
The perimeter of the recatngle is 71.4 inches.
The area of the rectangle is;
[tex]\rm Area=length \times width\\\\Area=25.5\times 10.2\\\\Area=260.1 \ square \ inches[/tex]
The area of the rectangle is 260.1 square inches.
Learn more about rectangle here;
https://brainly.com/question/15019502
#SPJ2
Which correctly describes the net of a square pyramid?
two squares, three triangles
one squares, three triangles
one square, four triangles
two squares, four triangles
Answer:
one square, four triangles
Step-by-step explanation:
It's a pyramid, so there's only 1 base.
A square has 4 faces, so to build up the pyramid from its base, we need 4 triangles to stick with the square base and to form a sharp vertex.
James invests some money into an account that pays 4% compounded annually. If the account has $851.66 after 5 years, how much did he originally invest?
Answer:
the third option, "what number, when added to negative four, is equal to negative five?"
Step-by-step explanation:
"what number, when added to negative four, is equal to negative five?" can be expressed as g + (- 4) = - 5, which is the same as in the equation.
i hope this helps! :D comment if you need any clarification.
5. The owner of a bookstore developed a model for determining the price of rare comic books.
The price, P, of each book should vary directly with the number of people, N, that have
requested the book and inversely to the number of such books in existence, M. If N = 10 people,
M = 10,000 copies, and P = $5, then find P for N = 200 people and M = 100 copies.
Answer:
$\$ 10, 000 is the answer I think so
What is the Domain and Range of f(t)?
Answer: Hm 1 second
Step-by-step explanation: 1 sec
What is the radius of a sphere with a volume of 32398 cm, to the nearest tenth of a
centimeter?
Answer:
21.1cm
Step-by-step explanation:
Hello :)
The volume of a sphere can be found by this equation:
[tex]V=\frac{4}{3} \pi r^3[/tex] where V stands for volume and r stands for the radius in the sphere.
Since the volume is actually given to us and we need to find the radius, we can substitute in the numbers we know, and isolate the variable we are trying to find so we can get a concise answer.
[tex]V=\frac{4}{3} \pi r^3[/tex]
[tex]32398=\frac{4}{3} \pi r^3[/tex]
Now, let's isolate the r variable by dividing 4/3 and pi to the other side.
[tex]\frac{32398}{\frac{4}{3}\pi } =r^3[/tex]
We can get rid of the exponent by square rooting by 3.
[tex]\sqrt[3]{\frac{32398}{\frac{4}{3}\pi}} =r[/tex]
If we plug this into the calculator, the r=21.1
Which means the radius of the sphere is 21.1 cm.
Answer:
21.1 CM
[tex] \: \: \: \: \: \: \: [/tex]
Find the circumference and area of the circle. Use 3.14 for it. Round to the nearest hundredth it
7 m
The circumference of the circle is about
The area of the circle is about
m.
Step-by-step explanation:
hope this helped you :)) !!
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
A
Step-by-step explanation:
120 is the starting value, aka the price of the painting in 2014 before it is increased.
I NEED THE ANSWER PLFAST PLEASE
Answer:
h
Step-by-step explanation:
multiplication and inference
Find the value of ( 2x + 10
Answer:
Solution given:
x+x+10°+40°+2x+10=360[complete turn]
4x+60°=360
4x=360-60
x=300/4=75
now
2x+10=2×75+10=160° is your answer
An amusement park had 56,437 visitors the first year and 48,319 visitors the second year it was open. What was the total number of visitors for both years?
Answer:
104,758
Step-by-step explanation:
What is the area of this shape? Must use 3.14 as an approximation for pi :>
Let's split this up into two shapes: a half-circle and a triangle.
First, we'll find the area of the half-circle. The formula for the area of a circle is: A = 3.14 * r^2. Therefore, the area of a half circle will be: A = 1/2 * 3.14 * r^2. Using our new formula, let's plug in what we know and solve.
A = 1/2 * 3.14 * 8^2
A = 1/2 * 3.14 * 64
A = 3.14 * 32
A = 100.48 m^2
Next, let's find the area of the triangle. The formula for the area of a triangle is: A = 1/2 * base * height. Using our formula, let's plug in what we know and solve.
A = 1/2 * 12 * 8
A = 6 * 8
A = 48 m^2
Finally, we need to add the area of the half-circle and the area of the triangle to find the area of the shape.
100.48 + 48
148.48 m^2
Hope this helps!! :)
Step-by-step explanation:
area of the triangle
you know the height is 8 bc the radius of the circle is 8[tex] \frac{1}{2} (12)(8) \\ \frac{1}{2} (96) \\ 48[/tex]
area of the half circle
[tex] \frac{1}{2} \pi {(8)}^{2} \\ \frac{1}{2} (3.14)(64) \\ \frac{1}{2} 200.96 \\ 100.48[/tex]
area of entire shape
[tex]48 + 100.48 \\ 148.48 {m}^{2} [/tex]
A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 3 2 ft/s, how fast is the angle between the ladder and the ground changing when the bottom of the ladder is 8 ft from the wall
Answer:
dα/dt = - 0,25 rad/sec
Step-by-step explanation:
The vertical wall, the ground from the vertical wall up to the ladder, and the ladder shape a right triangle. angle α will be the angle between the ladder and the ground, then:
cos α = distance between the wall and the down end of the ladder (x) / length of the ladder
cos α = x/ L
- sin α * dα/dt = dx/dt * L /L²
- sin α * dα/dt = dx/dt /L
When the down end of the ladder is 8 ft apart from the wall
cos α = 8 / 10 = 0,8 then cos² α + sin²α = 1
sin² α = 1 - cos²α sin²α = 1 - (0.8)² sin²α = 0.36
sin α = 0.6
dα/dt = ?
dx/ dt = 3/2
L = 10 ft
x = 8 ft
By substitution
- 0.6*dα / dt = (3/2) / 10
dα/dt = - 1.5 / 6
dα/dt = - 0,25 rad/sec
(-) means the angle is decreasing
Find the perimeter in inches
Answer:
25.7 in
Step-by-step explanation:
perimeter = 1/2(2)πr + 10 = 15.7 + 10 = 25.7 in
What is the relationship between circle A and circle B? part j