10.
Complete.
y^2 + 15y + 56 = (y + 7)(y + )
A. 8
B. –7
C. –8
D. 7
Answers
Answer:
I would go with letter B. -7
Step-by-step explanation:
The two factors of a quadratic equation can be multiplied to form the original equation. Let the missing term be a:
y² + 15y + 56 = (y + 7)(y + a)
y² + 15y + 56 = y² + (7 + a)y + 7a
...............................................................................................................................................
Step by Step Solution
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Reformatting the input :
Changes made to your input should not affect the solution:
Step by step solution :
STEP 1 :
Trying to factor by splitting the middle term
1.1 Factoring y2+14y+49
The first term is, y2 its coefficient is 1 .
The middle term is, +14y its coefficient is 14 .
The last term, "the constant", is +49
Step-1 : Multiply the coefficient of the first term by the constant 1 • 49 = 49
Step-2 : Find two factors of 49 whose sum equals the coefficient of the middle term, which is 14 .
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 7 and 7
y2 + 7y + 7y + 49
Step-4 : Add up the first 2 terms, pulling out like factors :
y • (y+7)
Add up the last 2 terms, pulling out common factors :
7 • (y+7)
Step-5 : Add up the four terms of step 4 :
(y+7) • (y+7)
The solution is:
y = -7
The solution is:
y = -14 / 2 = -7
Related Questions
Find the value of x.
Answers
Answer:
x = 5
Step-by-step explanation:
26x + 10x = 180°
36x = 180
x = 180/36
x = 5
find the volume of the irregular figure
Answers
Answer:
V = 672cm^3
Step-by-step explanation:
V of irregular figure = lwh + lwh
V = 7(3)(2) + 10(7)(9)
V = 42 + 630
V = 672cm^3
The product ( the result of a multiplication problem ) of 2 rational expressions is x+22x−3 with the restrictions x≠– 3, x≠32, x≠4 and x≠ 5. Find an expression that meets the criteria. You may leave your answer in factored form.
Answers
Answer:
x + 22x - 3 = 4 (5x) + 3 (x-1)
Step-by-step explanation:
x + 22x - 3
23x - 3
20x + 3x - 3
5x + 15x + 3x - 3
5x (1 + 3) + 3 ( x - 1)
4 (5x) + 3 (x-1)
Find the area of the following triangle: 17 9 14 10 Note: Figure not to scale.
Answers
Asif and Ben share $2100 in the ratio Asif: Ben = 3:7.
Work out how much Asif receives.
$2100
Answers
Answer:
$630 for Asif
Step-by-step explanation:
Asif gets 3/10ths
So
2100 x 3/10 = $630 for Asif
Which of the following trigonometric ratios are correct?
Answers
Hi there! In this problem, you should have the knowledge of three basic Trigonometric Ratio.
sinA = opposite/hypotenusecosA = adjacent/hypotenusetanA = opposite/adjacentNow that we know three basic ratio. Let's check each choices!
sin50° = d/cThis choice is wrong because we focus on the 50° angle. When we focus on 50°, sin50° should be d/x and not d/c.
sin50° = c/xThis choice is also wrong because in ratio, it's cos50° that adjacent/hypotenuse.
tan50° = d/cThis choice is correct! As ratio states, tanA = opposite/adjacent.
tan50° = x/cThis choice is wrong. x/c is a reciprocal of cosine which is 1/cos. We call the reciprocal of cosine as secant or sec in short.
cos50° = x/dThis choice is wrong as x/d is a reciprocal of sine which is 1/sin. We call the reciprocal of sine as cosecant or cosec/csc in short.
cos50° = c/xThis choice is right by the ratio. Nothing really much to explain since we follow by ratio that is defined.
Answer
tan50° = d/ccos50° = c/xQuestions can be asked through comment.
Furthermore, tan also has its reciprocal form itself which is called cotangent also known as cot in short.
Hope this helps, and Happy Learning! :)
16) Jenna is responsible for changing the broken light bulb in a streetlamp. The streetlamp is 14 feet high. Jenna places the base of her ladder 3 feet from the base of the streetlamp. Jenna can extend the ladder from 10 feet to 14 feet. How long must her ladder be to reach the top of the streetlamp? Will her ladder work?
Answers
Use the Pythagorean theorem:
Height is 14, base is 3, so we can calculate the length required.
Length = sqrt(14^2 + 3^2)
Length = sqrt( 196 + 9)
Length = sqrt(205)
Length = 14.32 feet.
The ladder needs to be 14.32 feet. The longest her ladder can be is 14 feet so her ladder won’t work.
Answer:
14.32 is ur awnser
Step-by-step explanation:
3 feet
4 feet
inches
6 inches
Is Inches
What is the volume, in cubic feet, of the
cement used to make the steps? Show or
explain all of the steps you used to determine
your answer.
Answers
Answer: 12 for the main square
Step-by-step explanation:
take the 4 and the 3 and multiply it, makes 12. you see how each stair is 6 inches and there is 3 full steps which makes it 1.50 feet. 12 x 1.50 is 18. that makes your main square. I'm sorry but I cant really help you with the steps but that was also confusing to me.
estimate 12 8/9 - 10 1/6
Answers
Answer: 49/18
Step-by-step explanation:
help!!!!!! algebra 1
Answers
Answer:
f(8) = 195
Step-by-step explanation:
When the x if f(x) is replaced with an 8, this just means that it is the eighth term. All you really have to do is replace every X in the function to find the answer.
f(8) = 3 + 3(8)²
f(8) = 3 + 3(64)
f(8) = 3 + 192
f(8) = 195
Hope this helps!
Answer:
195
Step-by-step explanation:
plug 8 =x into the equation
What is the square root of 200 in a whole
Plz answer
Answers
Answer:
The square root of 200 can be simplified as 10√2.
Step-by-step explanation:
hope i helped
Answer:
10[tex]\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{2^{3} * 5^{2} }[/tex]
[tex]\sqrt{2^{2} *2*5^{2} }[/tex]
[tex]2\sqrt{2}\sqrt{5^{2} }[/tex]
[tex]2\sqrt{2} *5[/tex]
10[tex]\sqrt{2}[/tex]
What is a formula for the nth term of the given sequence ? 10,-20,40...
Answers
if u need the solution i will give it to u
7/8 = m - 5/12 What is m?
Answers
Answer:
31/24 or 1.29
Step-by-step explanation:
First isolate m to one side of the equation
7/8+5/12=m
21/24 + 10/24=m
31/24=m or you can simplify to get 1.29
Hii pretty human, could pls help meeeee :((((((
The local fair charges a flat fee for admission plus an additional cost for ride tickets. Last year, Imran purchased 10
tickets and spent a total of $20. His friend, Anton purchased 21 tickets and spent a total of $36.50 at the fair. The
relationship between the # of tickets and total spent is linear. Algebraically determine the following:
a) The price per ticket.
b) The admission fee.
Answers
i'm really good at all kinds of math, but this doesn't make any sense.
Answer:
a.the price per ticket?
Help with this please!!
Answers
Answer:
the first answer
Step-by-step explanation:
well first ofc u have to graph both equations to be able to compare them and if u don't have a graphing calculator just search up Desmos graphing calculator it will help A LOT
simplify 3+4(y-7)+5y
Answers
Answer:
9y-25
Step-by-step explanation:
Answer:
9y-25
Step-by-step explanation:
Math
laura has a 3-digit combination lock on her briefcase and has forgtten the combination. If she knows that the first digit is a 3, and the second digit is a prime, how many numbers must Laura try before the lock is sure to open?
Answers
Answer:
Laura needs to try 36 more times before the lock is sure to open.
Step-by-step explanation:
Alright, with a three digit lock, there are 9 possible numbers for each digit:
1, 2, 3, 4, 5, 6, 7, 8, and 9.
Since the first one is 3, lets move onto the second digit, which is prime.
Of the numbers between 1-9,
2, 3, 5, and 7 are prime.
With the last digit, it can be any number 1-9.
With all of this, there are 4 combos left for the second digit then 9 combos for the third digit. Therefore, there would be 36 possible combinations as 4 * 9 =36.
Use Pythagorean theorem to solve the following right triangles, put your answer in simplest radical form:
Answers
Answer:
Step-by-step explanation:I found the answer on this web[tex]^{}[/tex]site. It seems correct! Link Below!ly/3fcEdSx
bit.[tex]^{}[/tex]
help me please i need to finish this today
Answers
Answer: I think it is B
Step-by-step explanation:
what is 4.13 to the nearest tenth
Answers
Answer:
4.1
Step-by-step explanation:
Which of the following is true about the expression v3 • V12?
Answers
Answer:
I think is B.
Step-by-step explanation:
hope its help
Answer:
Option B
Step-by-step explanation:
Simplify (2.2 x 10')= (1 104) and write the
answer in scientific notation.
a. 2.2 x 10°
b. 22
c. 2.2 x 1011
d. 2.2 x 10?
Answers
Answer:
2.2 × [tex]10^{11}[/tex]
Step-by-step explanation:
2.2 × [tex]10^{7}[/tex] + 1 × [tex]10^{4}[/tex]
2.2 × 1 = 2.2
7 + 4 = 11
HELPPPPPPPPPPPP THIS IS A MEGA TEST Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool. Then, she measures out the liter of the remaining solution to use to clean the pool filter. How much chlorine solution is left in the bottle?
Answers
Answer:
1/4 L
Step-by-step explanation:
2 1/2=10/4 10/4*3/4=30/16= 1 7/8
1 7/8=15/8 10/4*2=20/8 20/8-15/8=5/8
5/8-3/8=2/8 or 1/4 L
Answer: 1/4 L
In bottle 1/4 of chlorine solution is left in bottle.
What is an expression?
Expression in math is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool.
And, then she measures out 3/8 liters of the remaining solution to use to clean the pool filter.
Now,
Chlorine solution in bottle = 2 1/2 × ( 1 - 3/4 ) - 3/8
= 5 / 2 × 1/4 - 3/8
= 5 / 8 - 2 / 8
= 1 / 4
Thus, In bottle 1/4 of chlorine solution is left in bottle.
Learn more about the mathematical expression visit:
https://brainly.com/question/3624808
#SPJ2
The complete question is this;
Felicia pours 3/4 of a 2 1/2-liter bottle of chlorine solution into a swimming pool then she measures out 3/8 liters of the remaining solution to use to clean the pool filter how much chlorine solution is left in the bottle?
Laura lleno su pecera hasta la mitad 40 cm de altura 60 cm de ancho 20 cm dekargo cuanto espacio ocupa la pecera
Answers
Answer:
La pecera ocupa 48.000 centímetros cúbicos de espacio.
Step-by-step explanation:
Dado que Laura lleno su pecera hasta la mitad, y la misma mide 40 cm de altura, 60 cm de ancho y 20 cm de largo, para determinar cuánto espacio ocupa la pecera se debe realizar el siguiente cálculo, sabiendo que el volumen de un prisma rectangular surge de multiplicar su altura por su longitud y su anchura:
40 x 60 x 20 = X
2400 x 20 = X
48000 = X
Por lo tanto, la pecera ocupa 48.000 centímetros cúbicos de espacio.
what is the value of √-36
Answers
Answer:
6
Step-by-step explanation:
Answer:
Negative 6 or -6
Step-by-step explanation:
Have a great day!
Jim and Carol recorded gas prices at five stations for their own towns in the table below. Gas Prices Name Station 1 Station 2 Station 3 Station 4 Station 5 Jim $3.45 $3.54 $3.71 $3.62 $3.49 Carol $3.89 $3.65 $3.39 $3.48 $3.49 Which person's town had the lower mean for gas prices and by about how much?
A Jim, by $0.02
B Carol, by $0.02
CJim, by $0.06
D. Carol, by $0.06
Answers
Norma needs to find the sum of the fractions below. 3/8 +5/6 Norma starts by multiplying the first fraction by 3/3.
By which number should she multiply the second fraction?
A.8/8
B.4/4
c.3/3
d.undefined
Answers
Answer:
Its A
Step-by-step explanation:
Because if you add 3+5 that is 8 so 8/8
Select all the sets of conditions that will create only one unique triangle.
Answers
PLSSSSS HELPPPPP REWARD BRAINLEISTTT
Answers
ANSWER:
number 1 is D, it moves to the right 4 times
number 2 is B, its a vertical stretch of 2
True or false? In order to find the diagonal inside a rectangular prism, you need to use the Pythagorean Theorem two different times
Answers
Answer:
The 2D Pythagorean theorem can be applied twice to calculate the longest diagonal inside a rectangular prism.
Step-by-step explanation: