Answer:
B) 3x^2+6x+4
Step-by-step explanation:
(6x+7+x^2)+(2x^2-3)
6x+7+x^2+2x^2-3
3x^2+6x+7-3
3x^2+6x+4
The sum of the polynomials is 3x² + 6x + 4.
What are Polynomials?Polynomials are mathematical expressions which consist of one or more terms involving variables and coefficients connected with operations like multiplication, subtraction, addition and natural number powers of variables.
Given are two polynomials whose sum has to be found.
(6x + 7 + x ²) and (2x² - 3).
The sum of the polynomials is,
(6x + 7 + x ²) + (2x² - 3)
We have to operate the like terms together.
= (6x) + (7 - 3) + (x² + 2x²)
= 6x + 4 + 3x²
= 3x² + 6x + 4
Hence the sum of the polynomials is 3x² + 6x + 4.
Learn more about Polynomials here :
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You and your friends are at the local ice cream shop. You get a cone that has a diameter of 12 cm and a height of 12 cm that is full of ice cream, and has a sphere of ice cream on top with the same diameter. What is the total volume of your ice cream cone? Show your work in terms of π.
Answer:
the answer is 24 centimeters
Need help with this question.
Answer:
D.
Step-by-step explanation:
the smallest angle correpsonds with the smallest side, and longest angle with longest side. hope it helped
Can someone plzzz helppp meeee( don’t say click this link)
Answer:
22
Step-by-step explanation:
You can also use the radius of the circle and the arc length to find the central angle. Call the measure of the central angle θ. Then: θ = s ÷ r, where s is the arc length and r is the radius.
So...
0=31 divided by 22
0
22 remainder
0=22
22 is the arc's central angle.
:D
2. Mr. Hoffman has a circular chicken coup with a radius of 2.5 feet. He wants to put a chain link fence around the coup to protect the chickens. Which measurement is closest to the length of fence he will need?
Answer: 15.7ft
Step-by-step explanation:
Answer:
15.7 ft
Step-by-step explanation:
took the test
Help plssss I’m really bad at math and I have no clue what I’m doing <3333 also remember you can choose more than 1
Answer:11111
Step-by-step explanation:
1
1. A population of ants starts at 48 and triples every hour.
Write an equation to represent the situation
How many ants will there be in 4 hours?
I
Answer:3888
Step-by-step explanation:
144= 1 hours
432=2 hours
1296=3 hours
3888=4 hours
yall im tired please help im lacking hella motivation and i have a bad headache so please helpp me cuz no one has thank you luvs <3
Answer:
1,193.81
Step-by-step explanation:
Use the formula:
A=2PIrh+2PIr^2
Answer:
Curved surface area of cylinder
=PH
=2pirh
=2×3.142×5×9= 282.78in sq
A is the closest.
Write the equation of the line in slope-intercept form for the line with a slope of 13 and a y - intercept of (0, 4)
Answer:
y=13x+4
Step-by-step explanation:
y-y1=m(x-x1)
y-4=13(x-0)
y-4=13(x)
y-4=13x
y=13x+4
Answer:
y=13x + 4
Step-by-step explanation:
Hi there!
We want to write the equation of the line in slope-intercept form.
Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y intercept
We are given that the line has a slope of 13, and a y intercept of (0,4)
As we are directly given the slope and the y intercept, we can substitute these values into the formula to find the equation of the line
First, substitute 13 as m
y=13x + b
Now, as stated earlier, the value of b is the value of y at the y intercept.
We were given that the y intercept is (0,4); the value of y at this point is 4
Substitute 4 as b into the equation
y=13x + 4
Hope this helps!
See more on this topic here: https://brainly.com/question/19893131
15 of 20 answer
You and your friend fill 20 bags with leaves. The ratio of bags you filled to bags your friend filled is 2 to 3. Use the tape diagram to find how many bags
you filled
You
Your friend
You filled
bags
Answer:
8 bags
Step-by-step explanation:
You divided them by 20 which gives you 4. So you take the 3 and multiply by 4 which is 12 bags. And then you do the same for your bags which makes you do 2 times 4 which gives you 8. You take 20 - 12 and that leaves you with 8.
Write the equation in standard form for the circle x2+y2–49=0.
Answer:
2x+2y=49
Step-by-step explanation:
tell me if this is wrong
This graph represents the path of a baseball hit during practice.
Downward opening parabola with (0,0.5), (6.16, 0) and vertex (3,5)
What does the x-value of the vertex represent?
Question 1 options:
the maximum height of the baseball
ground level
the time the baseball was hit
the time the baseball reached its maximum height
Answer:
Step-by-step explanation:
x-coordinate of the vertex is the time the baseball reaches maximum height.
The next term in the sequence 15, 12, 8, 3
Answer:
I think the answer is 17
Step-by-step explanation:\
The pattern is counting down. 3 plus 5 is 8, 8 plus 4 is 12, 12 plus 3 is 15, and 15 plus 2 is 17.
I hope this helps :)
What is greater 7 3/4 or 7 1/2
Answer:
7 3/4
Step-by-step explanation:
Answer:
7 3/4 is greater
Step-by-step explanation:
it might help to find a common denominator
7 3/4= 7 9/12
7 1/2= 7 6/12
hope this helps (u can also use decimals)
In a softball game, how far must the catcher throw to second base? Round to the
nearest tenth.
84.9 ft
42.4 ft
0 120 ft
60.8 ft
Answer:
84.9 ft
Step-by-step explanation:
a^2 + b^2 = c^2
60^2 + 60^2 = c^2
3600 + 3600 = 7200
the square root of 7200
84.8528137424 ft or 84.9 ft
PLEASE, I REALLY NEED YOUR HELP!!
For each of the figures, write an Absolute Value equation to satisfy the given solution set.
Answer:
|x-5|=2
Step-by-step explanation:
1- Find the mid value between the given numbers 3 and 7
(3+7)/2= 10/2 = 5
2- Find the difference btween the mid value (5) and any of the two given numbers (3 or 7). Use the absolute value for the difference.
|5-3|= 2 or |7-5|=2
3- Arrange the absolute equation like this:
|x-mid value from step 1|= absolute difference from step 2
|x-5|=2
4- Double check the answer with the given values 3 and 7 using our equation |x-5|=2
|3-5|=2 correct
|7-5|=2 correct
Jack has $37 and saves $6.50 per week. Diane has $9 and saves $8.25 per week. Define a variable, then write and solve an equation to find out how many weeks it would take for Jake and Diane to have saved the same amout of money.
Answer:
Defining variable: x = per week
Equation: 37 + 6.5x = 9 + 8.25x
Answer: 16 weeks
Step-by-step explanation:
x = per week
Jack:
37 + 6.5x
Diane:
9 + 8.25x
Equation:
37 + 6.5x = 9 + 8.25x
-1.75x = -28
x = 16
how do I write the equation of the parabola in intercept form
Answer:
The equation of the parabola in intercept form is [tex]y = -\frac{3}{4}\cdot x\cdot (x-4)[/tex].
Step-by-step explanation:
The equation of the parabola in intercept form is defined by following formula:
[tex]y = a\cdot (x-r_{1})\cdot (x-r_{2})[/tex] (1)
Where:
[tex]x[/tex] - Independent variable.
[tex]y[/tex] - Dependent variable.
[tex]a[/tex] - Vertex constant.
[tex]r_{1}, r_{2}[/tex] - Intercepts of the parabola.
According to the graph, we find that intercepts are 0 and 4, respectively, and a point in the parabola is [tex](x,y) = (3, 2.25)[/tex]. If we know that [tex]r_{1} = 0[/tex], [tex]r_{2} = 4[/tex] and [tex](x,y) = (3, 2.25)[/tex], then the vertex constant is:
[tex]a = \frac{y}{(x-r_{1})\cdot (x-r_{2})}[/tex]
[tex]a = -\frac{3}{4}[/tex]
The equation of the parabola in intercept form is [tex]y = -\frac{3}{4}\cdot x\cdot (x-4)[/tex].
please help due pretty soon
Answer:
C. y - 1 = 5( x - 8)
Step-by-step explanation:
Since line is passing through (8, 1) and has a slope 5.
So, the equation of line in point slope form is given as:
y - 1 = 5( x - 8)
Answer: C
Step-by-step explanation:
Mr. Jackman gives $32.00 to his four children to share equally. How much will each of his children get?
Answer:
$8.00 per child
Step-by-step explanation:
Mr. Jackman= $32
Children= 4
per child= $32/4
$8.00
I NEED HELP ON THIS SO I CAN PASS MY MIDTERM T-T
Journal; 1.8.4, geometry
2. Looking at the Consecutive Interior Angles (9 points)
Look at the diagram of the scenario below. A steep downhill ski slope is intersected at an angle by a less steep ski slope. Safety fences need to be set up in the locations shown. The angles of the fences, angles 1 and 2, can be determined by finding the relationship between the angles a and b.
Draw a geometric diagram of this scenario using two parallel lines and one transversal. (Remember that a transversal is a line which cuts across parallel lines.) Label the angles, parallel lines, and transversal as indicated in the diagram above. (2 points)
Starting with the fact that angles 1 and a are a linear pair and that angles b and 2 are also a linear pair, use a two column proof to prove that consecutive interior angles a and b are supplementary. (5 points)
Statement Reason
Explain what the result of your proof tells you about angles a and b. Specifically, if you measured one angle, what would you know about the other? (2 points)
3. The Exterior Angles (6 points)
The fences will be aligned with the exterior angles ∠1 and ∠2. What are some other relationships you can see between ∠1, ∠2, ∠a, and ∠b? (2 points)
Which of the relationships you listed above will be the most helpful in figuring out the measurements of the safety fences? (2 points)
What is the measure of ∠2? (2 points)
4. Reflections (2 points: 1 point each)
Can you think of any other real-life scenarios where parallel lines and transversals exist?
What are the limitations of the ski slope scenario as a real-life example?
The measurement of the angles formed between parallel lines having a common transversal are readily determined by the relationship between the angles
The measures of the angles in the figures are as follows;
2. The required two column proof is presented as follows;
Statement [tex]{}[/tex] Reason
∠1 and ∠a are linear pair angles [tex]{}[/tex] Given
∠1 + ∠a = 180° [tex]{}[/tex] Linear pair ∠s are supplementary
∠2 and ∠b are linear pair angles [tex]{}[/tex] Given
∠2 + ∠b = 180° Linear pair ∠s are supplementary
∠a and ∠b are consecutive interior ∠s [tex]{}[/tex] Definition
x║y [tex]{}[/tex] Given
∠1 and ∠b are corresponding angles [tex]{}[/tex] Definition
∠1 ≅ ∠b [tex]{}[/tex] Corr. ∠s formed between║ lines
∠1 = ∠b [tex]{}[/tex] Definition of congruency
∠a + ∠b = 180° Substitution property
∠a and ∠b are supplementary [tex]{}[/tex] Definition
The information obtained from the proof is that given ∠1 and ∠b are located in corresponding locations relative to the common transversal of the parallel lines, they (∠1 and ∠b) are equal, and therefore, the the sum of ∠a and ∠b is 180°, given that the sum of ∠1 and ∠a is 180° by substitution property of equality. Which gives that ∠a and ∠b are supplementary angles. Therefore
If the measure of one of the angles ∠a or ∠b is known, the other angle is given by subtracting the known angle from 180°3. Some of the other relationships between ∠1, ∠2, ∠a, and ∠b, are;
∠1 and ∠b are corresponding angles, therefore, ∠1 ≅ ∠b, by corresponding angles formed between parallel lines∠2 and ∠a are corresponding angles, therefore, ∠2 ≅ ∠a, by corresponding angles formed between parallel lines ∠1 and ∠2 are same side exterior angles and they are therefore supplementary. ∠1 + ∠2 = 180°The relationship that will be most helpful in figuring the measurement of the safety fences is the relationship between ∠1 and ∠2; ∠1 + ∠2 = 180°The measure of ∠2 = 180° - ∠1
4. A real-life scenario where parallel lines and transversal exist are the handrail and baluster on railings of staircases
The limitations of the Ski slope scenario are;
The direction of the trail of the skier are usually along or parallel to the slopeThe slope is wide and usually lacks obstruction, and therefore, has few transversalsThe ski slope is usually located away from or follows a different direction from other ski slopesLearn more about parallel lines having a common transversal here:
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c. Explain what the result of your proof tells you about angles a and b.
Specifically, if you measured one angle, what would you know about the
other? (2 points)
multiply:- 4a^2 - 6a + 5 by 3a + 2.
Ans it fast plz.
i will mark u as brainliest.
Answer:
4a^2 + 9a + 10
Step-by-step explanation:
First we distribute
-4a^2 + (−6a) + (5)(3a) + (5)(2)
-4a^2 - 6a + 15a + 10
Then we combine like terms
4a^2 has no like terms, so it cannot be added onto anything else.
We add -6a to 15a
15a - 6a = 9a
4a^2 + 9a + 10
Answer:
Simplifying
(6a + -8)(4a2) = 0
Reorder the terms:
(-8 + 6a)(4a2) = 0
Remove parenthesis around (4a2)
(-8 + 6a) * 4a2 = 0
Reorder the terms for easier multiplication:
4a2(-8 + 6a) = 0
(-8 * 4a2 + 6a * 4a2) = 0
(-32a2 + 24a3) = 0
Solving
-32a2 + 24a3 = 0
Solving for variable 'a'.
Factor out the Greatest Common Factor (GCF), '8a2'.
8a2(-4 + 3a) = 0
Ignore the factor 8.
Subproblem 1
Set the factor 'a2' equal to zero and attempt to solve:
Simplifying
a2 = 0
Solving
a2 = 0
Move all terms containing a to the left, all other terms to the right.
Simplifying
a2 = 0
Take the square root of each side:
a = {0}
Subproblem 2
Set the factor '(-4 + 3a)' equal to zero and attempt to solve:
Simplifying
-4 + 3a = 0
Solving
-4 + 3a = 0
Move all terms containing a to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 3a = 0 + 4
Combine like terms: -4 + 4 = 0
0 + 3a = 0 + 4
3a = 0 + 4
Combine like terms: 0 + 4 = 4
3a = 4
Divide each side by '3'.
a = 1.333333333
Simplifying
a = 1.333333333
Solution
a = {0, 1.333333333}
Step-by-step explanation:
HELP ME QUICKLY PLEASE!
JUST ANSWERS!
NO EXPLANATION NEEDED!!!!!!!!!
I PUT IT DOWN AS 50 POINTS!!!!!!!!
Answer:
11. 25
12. 60
13. 93
14. 46
15. 51
16. 85
Answer:
#11
Complementary angles ad to 90°
b = 90° - 65° = 25°#12
Alternate exterior angles are congruent
b = 60°#13
Complete angle and angle addition postulate
b = 360° - (244° + 23°) = 93°#14
Vertical angles are congruent
b = 46°#15
Complementary angles add to 90°. Straight angle is 180°
b = (180° - 90°) - 39° = 51°#16
Alternate interior angles are congruent
b = 85°HELPPP ON GEOMETRY PLZZ!!! No links i will report.
Answer:
J) is multiplied by 4
Step-by-step explanation:
Please help NO LINKS!!!
Answer:
Step-by-step explanation:
base = 7 units
height = 12 unit
Area of triangle = [tex]\frac{1}{2}*base * height\\[/tex]
[tex]= \frac{1}{2}*12*7\\\\=6 * 7 \\= 42 unit^{2}[/tex]
What is the range of y = –3sin(x) – 2?
Answer:
thase is the answer and good luck
What is the x coordinate of the solution?
What is the y coordinate of the solution?
Answer:
the x coordinate is 1
the y coordinate is 1
Step-by-step explanation:
Answer:
1,1
Step-by-step explanation:
Solve each equation: -5(7-8x)-7x=-(3x+1)
Answer:
Step-by-step explanation:
Given the function f(x), what is the transformation f(x)+r, if r is a real number and r > 0?
A. The graph shifts r units down
B. The graph shift r units up
C. The graph shift r units right
D. The graph shift r units left
Answer:
C
Step-by-step explanation:
If r is a real number, then the x intercepts 0 < r, meaning r is greater than 0, you would shift right from 0 to your higher + number.
Please help!!! my teacher doesn’t even know how to answer!!
Answer:
It is B
Step-by-step explanation:
If you subract the numbers(year5-year4=#) and you gather all of the # and add them, then subract the years again, you end up with B.