Step-by-step explanation:
step 1. this is a polynomial division problem
x^2 + 11x + 52
---------------------------------
step 2. (x -3) [ x^3 + 8x^2 + 19x + 13
step 3. x^3 - 3x^2
step 4. 11x^2 + 19x + 13
step 5. 11x^2 - 33x
step 6. 52x + 13
step 7. 52x - 156
step 8. R -> 169
step 9. Ans: x^2 + 11x + 52 R 169
What is the nth term rule of the quadratic sequence below?
8
,
14
,
22
,
32
,
44
,
58
,
74
,
.
.
.
Lucas has a 39-foot-long rope. He uses all the rope to outline this T-shape in his backyard. All the angles in the figure are right angles. (Work out and answer number 13 and number 14, please.)
Answer:
Step-by-step explanation:
The area of a shape is the amount of space it can occupy, while the perimeter is the sum of its sides.
The value of x is 7.5 ftThe area of the shape is 57 square feetGiven that:
[tex]P = 39[/tex] --- the perimeter of the shape
The value of x
The perimeter is the sum of all sides.
So, we have:
[tex]P = x + x + 3.5 + 3.5 + 3 + 3 + 9 + (9 - 3.5 - 3.5)[/tex]
Substitute 39 for P
[tex]x + x + 3.5 + 3.5 + 3 + 3 + 9 + (9 - 3.5 - 3.5) = 39[/tex]
[tex]2x + 24 = 39[/tex]
Collect like terms
[tex]2x = -24 + 39[/tex]
[tex]2x = 15[/tex]
Divide through by 2
[tex]x = 7.5[/tex]
The area of the shape
The shape can be divided into two rectangles
A 9ft by 3ft rectangleA (9 - 3.5 - 3.5)ft by x ft rectangleSo, the area of the shape is:
[tex]Area = 9ft \times 3ft + (9 - 3.5 - 3.5)ft \times x ft[/tex]
[tex]Area = 27ft^2 + 2ft \times x ft[/tex]
Substitute [tex]x = 7.5[/tex]
[tex]Area = 27ft^2 + 2ft \times 15 ft[/tex]
[tex]Area = 27ft^2 + 30 ft^2[/tex]
[tex]Area = 57 ft^2[/tex]
Hence, the area of the shape is 57 square feet.
Read more about areas and perimeters at:
https://brainly.com/question/16103242
a number plus 6 is greater than 1
Answer:
x>-5
Step-by-step explanation:
First, you have to write the equation: x+6>1
Then you just subtract 6 on both sides: x>-5
Answer these three question for a brainlist, 5 stars and a thanks for extra
Recipe B uses 9 ounces of flour to make 12 servings of dough. How many flour is in per serving?
Answer:
Step-by-step explanation:
9/12 ounce = 3/4 = .75 ounce flour
A CD is circular and has a diameter of 6 centimeters. Which is closest to the area of the CD? Use 3.14 for π
Answer:
28.26 cm²
Step-by-step explanation:
Area of a circle = πr²
r = diameter/2
r = 6/2 = 3
A = (3.14)(3)²
A = 28.26 cm²
Write the equation of the line in slope-intercept form: y=mx+b
Given: Point (1,3) Slope: 2
Answer:
y=2x+1
Step-by-step explanation:
y-y1=m(x-x1)
y-3=2(x-1)
y-3=2x-2
y=2x-2+3
y=2x+1
What is the exact area of a circle having diameter 3 in.?
Answer:
2.25π square inches
Step-by-step explanation:
Area = π[tex]r^{2}[/tex]
Diameter = 2r
So in this case, radius = 1.5 inches
Plugging that into the area formula produces the answer
Please help me out someone
Answer:
Step-by-step explanation:
is SAS because you are given a pair of sides ≅, you have a pair of angles that are ≅ because 2 ║lines cut by a transversal and, you have another side because one of the sides is shared
I NEED HELP ASAP!!!!!!!
Answer:
9/25 = 36%
Step-by-step explanation:
First add up all of the students (150)
Then divide 54 by 150, 0.36
0.36 = 36% = 9/25
how can I solve this problem
Answer:
50
Step-by-step explanation:
the angle that they want you to find is complementary to the angle that equals 40. Complementary means they will add up to equal 90. 90-40=50 so ADB = 50
PLEASE HELP ME ?!?!?!
Answer:
19
Step-by-step explanation:
answer the question below please, I need help.
Which relation is not a function?
OA.
OB. ((8, 4),(4,8), (12,4), (16, 20),
(20,12))
OC.x147
21 2835
y7
147
3521
D. {(8,3), (3,8), (13,7), (18, 21),
(4,8), (12.18)
Answer:
A. The first option
Step-by-step explanation:
Answer:
Option a
Step-by-step explanation:
If the input value only leads to one output than its a function
The equation that passes through (3,6) and is perpendicular to 3x - 4y = - 2
a
y = - 4/3x + 3 1/3
b
y = - 3/4x + 10
c
y = - 4/3x + 10
d
y = 3/4x + 10
Answer:
C
Step-by-step explanation:
We want the equation of the line that passes through (3, 6) and is perpendicular to:
[tex]3x-4y=-2[/tex]
First, convert the second equation into slope-intercept form:
[tex]-4y=-3x-2\Rightarrow \displaystyle y=\frac{3}{4}x+\frac{1}{2}[/tex]
So, we can see that the slope of the line is 3/4.
The slopes of perpendicular lines are negative reciprocals of each other.
Therefore, the slope of the new line is -4/3.
It passes through the point (3, 6).
We can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Substitute:
[tex]\displaystyle y-(6)=-\frac{4}{3}(x-3)[/tex]
Distribute:
[tex]\displaystyle y-6=-\frac{4}{3}x+4[/tex]
Therefore:
[tex]\displaystyle y=-\frac{4}{3}x+10[/tex]
The answer is C.
12 (3 + 4) =
36 + 48
0.84
123 + 124
15 + 16
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
uh
Step-by-step explanation:
Answer:
wtffffffffffffffffffff
help only one question please with full step amd if you are right i will mark you as brainlist. 30 point
Answer:
Step-by-step explanation:
The scale factor describes the size of an enlargement or reduction. For example, a scale factor of means that the new shape is twice the size of the original. A scale factor of means that the new shape is three times the size of the original.
Q1. 2x^2+3x+8 when x=4
Q2. 6x2−4x−7 when x=2
Answer:
Q1.ans=52
Q2.ans=9
Step-by-step explanation:
substitute the value of x in the equations and open the bracket before adding and subtracting
I don't really understand these Questions..Can you help me?
Answer:
Problem 1: y = 4x + 6
Problem 2: 48 soda bottles per minute
Step-by-step explanation:
Problem 1:
Equation of a line in slope-intercept form is given as y = mx + b.
Wee have to figure out the value of the slope (m) and the value of y-intercept (b). Them to write an equation that represents the line of the graph, we need to input the values of m and b into the equation, y = mx + b.
Thus,
m = hourly fee = $4
b = initial deposit = $6
Substitute m = 4 and b = 6 into y = mx + b
Equation would be:
y = 4x + 6
Problem 2:
What we are simply asked to do is to find the slope of the line, which is the number of soda bottles the machine will produce per minute
Using the two points (3, 144) and (8, 384),
Slope = ∆y/∆x = (384 - 144)/(8 - 3)
Slope = 240/5 = 48
Thus, the machine will make 48 bottles per minute
Forty students went on a trip on Wednesday. On Thursday, 15% less students went on a similar trip. How many students went on the trip on Thursday?
Answer:
34
Step-by-step explanation:
40 * .15= 6
40-6 = 34
okkk so you do 40 * .15 because you just put a decimal point before all percentages to convert it into number
40*.15= 6
then subtract 6 to the original amount
40-6=34
34 students went on the trip on thursday cause 6 students got killed by bears in the last trip.
find m<1
33°
28°
42°
47°
Answer:
it's answer is 33°
Step-by-step explanation:
116° + 31° + m<1 = 180° [being sum of angles of triangle ]
147° + m< 1 = 180°
m<1 = 180° - 147°
m<1 = 33°
[tex]hope \: i t \: will \: help [/tex]
Solve the following equations:
x/3+1=7/5
Answer:
8/5..............…is the answer
Answer:
Standard Form: 6/5 Mixed Number: 1 1/5 Decimal: 1.2
Step-by-step explanation:
1. Subtract 1 from both sides of the equation
x/3 + 1 = 7/5
x/3 + 1 - 1 = 7/5 - 1
2. Simplify
2a.
x/3 + 1 - 1 = 7/5 - 1
x/3 = 7/5 - 1
2b.
x/3 = 7/5 - 1
x/3 = 2/5
3. Multiply all terms by the same value to eliminate fraction denominators
x/3 = 2/5
3 x x/3 = 3 x 2/5
4. Simplify
4a. Cancel multiplied terms that are in the denominator
cross out the threes in 3 x x/3 then you should get x = 3 x 2/5
4b. Multiply the numbers
x = 3 x 2/5
x = 6/5
And your answer should be 6/5|
I hope this helps you or anyone
The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1?
Answer:
The average rate of change of the function is: 0
Step-by-step explanation:
The function y = f(x) is graphed below.
From the graph it is clear that:
at x = -8, the value of f(-8) = -10
at x = -1, the value of f(-1) = -10
We have to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1.
so
at x₁ = -8, f(x₁) = f(-8) = -10
at x₂ = -1, f(x₂) = f(-1) = -10
Using the formula to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1.
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [f(-1) - f(-8) ] / [-1-(-8)]
= [-10 - (-10)] / [-1+8]
= [-10 + 10] / 7
= 0 / 7
= 0
Therefore, the average rate of change of the function is: 0
HELP I NEED HELP ASAP
Solve: x - 9.5 = -10.5
Answer:
x = -1
Step-by-step explanation:
x - 9.5 = -10.5
x = -10.5 + 9.5
x = -1
Which of the following sets of measures
cannot be the lengths of the sides of a right
triangle?
A
5 cm, 12 cm, and 13 cm
B
9 cm, 12 cm, and 17 cm
C
1 cm, 2.4 cm, and 2.6 cm
D
2.5 cm, 6 cm, and 6.5 cm
you can use the formula of pythagoras theorem to know what of them is wrong
in the first case
-5^2 + 12^2 =169
13^2=169 ( it's a right equation so it can be lengths of right angle tri )
in the second case
_9^2 + 12^2 =225
17^2 not equal 225
so these are the lengths that can't be a right angle triangle
solve this plz????? thx
Answer:
AOD i think
Step-by-step explanation:
Answer:
angle aob
Step-by-step explanation:
A number divided by 3 and then 4 is added to the quotient.the result is 8.find the number
Answer:
12
Step-by-step explanation:
8-4= 4 So, 4 is the quotient.
4x3= 12 So 12 is the original number
12/3 + 4= 8
PLEASE ANSWER QUICKLY! THIS IS FOR A STUFY GUIDE DUE IN 5 MINUTES!!!!!
6CO2 + 6H2O ———» C6H12O6 + 6O2
Is the equation above balanced or unbalanced? ___________
a- need to add coefficients
b- I don't know
c- Unbalanced
d- Balanced
Answer:
It's Balanced
Step-by-step explanation:
A simple word equation that can be used to describe the process of photosynthesis is carbon dioxide + water —> glucose + oxygen + water. So it's a balanced chemical equation for the process can be written as 6CO2 + 6H2O —> C6H12O6 + 6O2
Hope this helps!