Answer:
7x+6y=2
Step-by-step explanation:
All you have to do is add both of the equations together.
The algebra tiles represent the perfect square trinomial x2 10x c. what is the value of c? c =
The value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20
What are perfect squares trinomials?They are those expressions which are found by squaring binomial expressions.
Since the given trinomials are with degree 2, thus, if they are perfect square, the binomial which was used to make them must be linear.
Let the binomial term was ax + b(a linear expression is always writable in this form where a and b are constants and m is a variable), then we will obtain:
[tex](ax + b)^2 = a^2x^2 + b^2 + 2abx[/tex]
Comparing this expression with the expression we're provided with:
[tex]x^2 + 10x + c[/tex]
we see that:
[tex]a^2 = 1 \implies a = \pm 1\\b^2 = 10\\b = \pm 10\\2ab = c\\\pm2(10)1 = c\\c = \pm 20\\[/tex]
Thus, the value of c for which the considered trinomial becomes perfect square trinomial is: 20 or -20
Learn more about perfect square trinomials here:
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Identify the three similar triangles in the figure. Be sure to name the vertices in the correct order
(Please help)
Answer:
BDC and ADB
Step-by-step explanation:
Which of the following linear equations represents the data chart?
Answer:
option C
Step-by-step explanation:
y = -x + 7
Hope this helps you
Help me with this pls and thank you ?????
Answer:
y=3/4x-14
Step-by-step explanation:
Remember that slope-intercept form is y=mx+b
We can see that our givens is that the slope is 3/4 and our point is (8,-8)
Let's plug this in and solve for b (b is the y-intercept)
-8=3/4*8+b
-8=24/4+b
-8=6+b
-14=b
Now we write out the equation which is y=3/4x-14
In 2001 Arnold was x years old. Ken is 34 years younger than Arnold. In 2013 Arnold is three times as old as Ken. Write down an equation in x and solve it.
Answer:
x = 54
Step-by-step explanation:
x/3 = x-36
x= 3x-36.3
2x= 36.3
x = 18.3
x = 54
Answer:
(x +12) = 3((x -34) +12)x = 39Step-by-step explanation:
The given age ratio is valid 12 years after the age at which Arnold was x years old. When Arnold was x, Ken was x-34.
(x +12) = 3((x -34) +12) . . . . . the age relation in 2013
__
Solving for x, we have ...
x +12 = 3x -102 +36
78 = 2x . . . . . . . add 66-x
39 = x
In 2001, Arnold was 39 years old.
_____
Additional comment
In 2001, Arnold was 39 and Ken was 5. Ken is 34 years younger.
In 2013, Arnold was 51 and Ken was 17. Arnold was 3 times Ken's age.
Please help answer this and give explanations. 20+ Points
Answer:
7 pairs of shoes
Step-by-step explanation:
So your equation is P(x) = -6x² + 60x - 126. This is a parabolic function, and it looks like we can factor it.
First, let's factor out -6 from the equation to simplify it. If we divide each part of the equation by -6, that leaves us with -6(x² - 10x + 21).
Now, we can factor the equation further by finding two numbers that add up to -10 and multiply to get 21. We know that both have to be negative numbers since they add up to a negative number and multiply to a positive one. The numbers you get are -3 and -7, making the equation P(x) = -6(x-3)(x-7).
x = 3 or 7. To maximize profit, you should sell 7 pairs of shoes.
Hope this helps! :)
I really need some help on this
since the shape made by the angles is a quadrilateral, or namely a polygon of 4 sides, hmmm the sum of all interior angles in a polygon is
180(n - 2)
n = number of sides
so that polygon has a total of interior angles of 180(4 - 2) = 360.
Check the picture below.
ype the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
A science lab has several beakers containing different amounts of the same liquid, as shown in the line plot.
If all the liquid from the beakers is poured into one empty container that can hold exactly 4 liters, how much more liquid can the container hold?
liter(s)
Answer:
4/8 or 1/2
Step-by-step explanation:
Convert all size to x/8
1/4=2/8 and 1/2=4/8
Multiply size of beaker by how many there are filled
1/8 * 2= 2/8
2/8*7= 14/8
4/8*3 =12/8
then add all of them together = 28/8
convert 4 liters to 32/8
Subtract 32/8 - 28/8 = 4/8
How many solutions are there to the equation below?
6x+ 33 = 6(x+6)
A. Infinitely many solutions
B. No solution
C. One solution
Explain how you can tell if the expressions 7x – 4 and 6x – 4 – x are equivalent.
Hey there!
Combine Like Terms and see if the expressions are equivalent or not.
6x-4-x
6x-x-4
5x-4
Is 5x-4 equivalent to 7x-4? No.
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power!
Answer:
Given; 7x – 4 and 6x – 4 – x
To Find; how you can tell if the expressions 7x – 4 and 6x – 4 – x are equivalent
Solution; This question can be easily solved by letting some value of x and putting in both the equation to check whether both are equal or not
Let x=1
7x-4=3 and 5x-4=1
Since both are not equal Hence the given equations are not equalnation:
find the missing side length please!
Answer:
20.25
Step-by-step explanation:
The area of a rectangle is calculated by multiplying its width and length:
The area of the smaller rectangle is given as 9 ft^2 so to find its width we divide the given area with length which is 4.5
9/(4.5) = 2
The given rectangles are similar so their side lengths must be proportional
(4.5)/x = 2/9 cross multiply expressions
2x = 40.5 divide both sides by 2
x = 20.25
Solve (x – 3)2 = 49. Select the values of x. –46 -4 10 52
Answer:
-4, 10.
Step-by-step explanation:
(x – 3)^2 = 49
x - 3 = ±√49
x = 3 ± 7
= -4, 10.
Is u = 1a solution to the inequality below
u>8
PLEASE HELP ASAP
Answer:
No
Limit given:
u > 8point:
u = 1This value of u = 1 does not fall under the condition, "u is greater than 8".
Number line:
Answer:
No
Step-by-step explanation:
The given inequality is :
u > 8Therefore, the only solutions to this inequality must be greater than 8.
On substituting u = 1 in the inequality,
1 > 8This is not true, as 8 is clearly the greater valueu = 1 is not a solution to the inequalityA spinner is divided into four equal sections labeled A, B, C, D. After 50 trials, the spinner landed on A 14 times, on B 13 times, on C 7 times, and on D 16 times. If the spinner is spun again, what is the theoretical probability that it does not land on D?
Answer:
17/25
Step-by-step explanation:
P(not red)=Number of Skittles Not Red/Total Number of Skittles
The sides of a square are 12 feet long. Find the new side
length after it is increased by 40%.
Answer:
16.80 ft long
Step-by-step explanation:
Jack drives to his grandmother’s house at a constant rate of 65 miles per hour. If he can get to her house in 2 hours, how far does he live from his grandmother?
O:63
O:67
O:130
O:195
Answer:
130
Step-by-step explanation:
just multiply 65 by 2 and you get 130
3 Jade buys a blouse and a skirt for of their original price. She pays a total of $31.50 for the two items. If the original price of the blouse is $18, what is the original price of the skirt?
Answer:
$13.50
Step-by-step explanation:
if the total is $31.50, it is both the blouse and the skirt together, so uf you take away the blouse from the total ($31.50 - $18) then yiu are keft with the price of the skirt
What is the area of triangle def? round to the nearest tenth of a square unit. 10.3 square units 18.0 square units 20.0 square units 20.6 square units
The area of the triangle def round to the nearest tenth of a square unit is 10.3 square units.
What is the formula for area of a triangle?When the two sides and an angle of a triangle is known, then the area of the triangle can be found out with the following formula.
[tex]A=ab\sin\left(\dfrac{C}{2}\right)[/tex]
Here, a,b are the adjacent sides and C is the angle made between them.
The image of the triangle DEF is attached below. In this the two adjacent sides are given with the length 5 units ans 8 units long.
The angle made between them has the measure of 31 degrees. Put the values in the above formula as,
[tex]A=(5)(8)\sin\left(\dfrac{31}{2}\right)\\A=10.3\rm\; unit^2[/tex]
Hence, the area of the triangle def round to the nearest tenth of a square unit is 10.3 square units.
Learn more about the triangle here;
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Answer: A, 10.3
Step-by-step explanation: edge 2022
help asap please)
The vertices of a trapezoid are shown below.
P(0,0),Q(4,0),R(4,6),S(0,12)
This trapezoid is dilated about the origin by a scale factor of 4. What is the location of point P?
A. (0,0)
B. (4,0)
C.(4,4)
D.(0,4)
Answer: A
Step-by-step explanation:
You can multiply the coordinates by 4, giving (0,0)
Find the common ratio of the geometric sequence -4,12,-36
Answer:
-3
Step-by-step explanation:
a= -4
So the first and second should be multiply together
first=-4
second=12
12/-4=-3
Part 2. Show your work in solving the equation. Include the work to check your solution and show that your solution is extraneous. that has an extraneous solution. that does not have an extraneous solution. Part 3. Explain why the first equation has an extraneous solution and the second does not.
Extraneous solutions are the values that we get when solving equations which aren't really solutions to the equation.
What are extraneous solutions?Your information is incomplete. Therefore, an overview will be given. An extraneous solution is the root of a transformed equation which is not a root of the original equation since it was excluded from the domain of the original equation.
The reason extraneous solutions exist is simply that some operations produce extra answers, and these operations are a part of the path to solving the problem.
Learn more about equations on:
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Jack took a test and got 13 out of 17 points. He took a make-up test and got 12 out of 15 points. The percent of increase in Jack's score is about ___
A 3.596%
B 4.696%
C 5.996%
D 6.7%
Answer:
4.696% (B)
Step-by-step explanation:
13/17 = 0.76470588
12/15 = 0.8
0.8 - 0.76470588 = 0.03529412
0.03529412 / 0.76470588 = 0.04615285
0.04615285 · 100 = 4.61538494
(I rounded 13/17, the closest answer is 4.696)
percentage increase:
final value - starting value / starting value · 100
An angle measures 66° more than the measure of its supplementary angle. What is the measure of each angle?
A=
B=
Elissa needs 8.5 inches of thread to make a friendship bracelet. What is the maximum number of bracelets she can make with 40 inches of thread?
Answer:
4
Step-by-step explanation:
Elissa uses 8.5 inches of thread per bracelet.
She has 40 inches of thread.
To find the maximum number of bracelets she can make, we need to divide.
40 / 8.5 = 4.70588...
We cannot have an unfinished bracelet, so we have to round down.
She can make 4 bracelets with 40 inches of thread.
Answer:
4 bracelets
Step-by-step explanation:
if 8.5 inches makes 1 friendship bracelet
what about 40inches
8.5inches=1 bracelet
40 inches=?
cross mulltiply
40x1
-------
8.5
=4 12/17 bracelets
12/17 of a bracelet is not a complete one
=4 complete friendship bracelets
aaaaaand 4 happy friends
There are 49 students had their lunch in the cafeteria. One-
seventh of them brought lunches from home. How many
students brought lunches from home? students
Mr. Polland has a square bulletin board where he posts pictures from previous
performances. If the bulletin board has a side that measures 19ft, how much space
does Mr. Polland have to post pictures?
a triangle has angle measurements of 61°, 84°, and 35°. is this triangle isosceles?
Answer: No
Step-by-step explanation:
This is not an isosceles triangle because there are different angle measurements. The rule of an isosceles triangle is that it must always have two equal sides and angles.
Anyone know the answer to all of them added together
Answer:
13x + 14
Step-by-step explanation:
5x + 6 + 3x = 8x + 6.
8x + 6 + x + 1 + x + 1 + 2= 10x + 10
10x + 10 + (2²)(i think) = 10x + 14
10x + 14 + 3x = 13x + 14
final answer
Answer:
[tex]13x+14[/tex]
Step-by-step explanation:
First take all the sides and add:
[tex]5x+6+3x+3x+2+2+2+x+1+x+1[/tex]
Then Combine Like terms:
[tex]5x+3x+3x+x+x+6+2+2+2+1+1[/tex]
There is your answer:
[tex]13x+14[/tex]
(If I misunderstood the handwriting, please tell me, and I will fix my mistakes)
Which equation matches the table TOP: 4,8,12,16 BOTTOM:8,12,16,20
Answer:
C. b= a+4
Step-by-step explanation:
How do you write
–514 11/12 as a decimal
Answer:
what does the -514 relate with 11/12?
Step-by-step explanation:
11/12 written as a decimal is .91
Answer:
It would be -514.916 with a _ over the six.
Step-by-step explanation:
11/12 is equal to 0.916666, where the six goes on forever. This is called a repeating decimal. In a repeating decimal, you would put this symbol _ over the number that repeats, in this case, 6. Or you would round, but that"s not given in this question.