Answer:
B. x = 4 and x = -10
Step-by-step explanation:
First, expand the equation
(x + 3)² = 49
(x + 3)(x + 3) = 49
x² + 6x + 9 = 49
Subtract 49 from both sides
x² + 6x -40 = 0
Factor
(x + 10)(x - 4) = 0
Solve
x + 10 = 0
x = -10
x - 4 = 0
x = 4
So, the correct answer is B. x = 4 and x = -10
WHAT IS 9/2 as a mixed number?
Answer:
4 1/2
Step-by-step explanation:
.
Answer:
4 1/2
Step-by-step explanation:
9/2 as a mixed fraction.
= 9 ÷ 2
= 4 which leaves a remainder of 1
▪Take the 4 as the whole number, take the remainder 1 and place it over the denominator which is 2
You then get your answer.
4 1/2
HELP I DONT KNOW HOW TO DO THIS : international space station anniversary emoji math
1) (x+y)² =
A. x²+2xy+y²
B. x²-2xy+y²
C.x²-2xy-y²
Answer:
a. x^2+2xy+y^2
Step-by-step explanation:
I hope this helps
0.2) Sharad bought one quintal of onions for Rs 2000. Later he
sold them all at the rate of Rs 18 per kg. Did he make a profit
or incur a loss? How much was it?
Answer: Loss, 200 Rs
Step-by-step explanation:
Given
Sharad bought a quintal of onion i.e. [tex]1000\ kg[/tex] for [tex]Rs.\ 2000[/tex]
So, the cost price of onion is
[tex]\Rightarrow \dfrac{2000}{100}=20\ \text{Rs per kg}[/tex]
He sells it at [tex]18\ \text{Rs. per kg}[/tex]
Here, the Selling price is less than the cost price
So, he incurs a loss of [tex]2\ \text{Rs per kg}[/tex]
For a quintal it is
[tex]\Rightarrow 2\times 100=200\ \text{Rs}[/tex]
[tex]\Rightarrow \text{Loss }\ \%=\dfrac{C.P.-S.P.}{C.P.}\times 100\\\\\Rightarrow \text{Loss }\ \%=\dfrac{20-18}{20}\times 100=10\%[/tex]
What is the area of the triangle?
Answer:
16 units²
Step-by-step explanation:
Area of the right triangle = ½ × base × height
base = 8
height = 4
Substitute
Area = ½ × 8 × 4
Area = ½ × 32
Area = 16 units²
Find the value of x.
Answer:
107
Step-by-step explanation:
x=180-73
x=107
hope it helps
x+2/3=6 what is x .................
Answer:
x=16/3
x=5 1/3
x=5,3333333.....
Step-by-step explanation:
x+2/3= 6
x= 6-2/3
x=16/3
x= 5 1/3
x=5,33333333333......
I hope this will help you
how many gallons of water did niles pour into the tank each minute? Please help me asap
Step-by-step explanation:
3
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A rectangular swimming pool is twice as long as it is wide. A paved border is 4 feet wide along the two longer sides and one of the shorter sides, and 8 feet wide along the other shorter side. The border and the pool have a combined area of 2046 square feet.
Let x represent the length of the shorter side of the swimming pool. Write an equation in standard form for the combined area of the pool and border in terms of x.
BONUS: Find the length and width of the swimming pool. To receive any credit for your answer factoring must be shown.
Answer:
Working on it now
Step-by-step explanation:
Answer: It's probodly 3000
Step-by-step explanation:
If the product of two integers is zero, then which of the following MUST be true?
A) Both of the Integers are zero
B) At least one of the integers is zero
C) The sum of the two integers is zero
D) The difference of the two integers is zero
Answer:
B
Step-by-step explanation:
Anything times zero is zero, so any whole number can be the second one so long as the first is 0.
The sum doesnt have to equal zero because non zero numbers multiplied by zero still equal zero.
Enter the appropriate value to answer the question or solve the problem.
M-1/4=3/4 need to find m plz help
Answer:
M=1
Step-by-step explanation:
m-1/4=3/4 add 1/4 to both sides and you get m=1
Answer:
M = 1
Step-by-step explanation:
M-1/4=3/4
add 1/4 to both sides of the equation:
M - 1/4 + 1/4 = 3/4 + 1/4
simplify:
M = 1
Help please with step by step
Answer:
47.1
Step-by-step explanation:
tan 61 = FD/24
FD = 43 3
cos 19 = 43.3/FE
FE = 43.3/cos 19 = 47.1
14x2 –y2 +3x2 –y+2y2
Answer:
120
Step-by-step explanation:
(4, -3) reflected over the x-axis
Answer:
(4, -3) reflected over the X axis is (4,3)
Step-by-step explanation:
What is the hypotenuse of a triangle with legs that are both 4 inches?
By applying Pythagorean's theorem, the hypotenuse of this triangle is equal to: D. √32 inches..
Given the following data:
Adjacent side = 4 inches
Opposite side = 4 inches.
How to calculate the hypotenuse of a triangle?In order to calculate the hypotenuse of this triangle, we would apply Pythagorean theorem.
Mathematically, Pythagorean's theorem is given by this formula:
c² = a² + b²
Where:
c is the hypotenuse.a is the adjacent side.b is the opposite side.Substituting the given parameters into the formula, we have;
c² = 4² + 4²
c² = 16 + 16
c² = 32
c = √32 inches.
Read more on Pythagorean theorem here: https://brainly.com/question/16176867
#SPJ2
Please help with my math problems
Answer:
4. D
6. A
Step-by-step explanation:
Maria decides to increase her homework time of 8 hours per week by 15% Calculate her new homework time. Give your answer in hours and minutes
Answer:
Maria's homework time is now 9 hours 12 minutes.
Step-by-step explanation:
Since Maria decides to increase her homework time by 15%.
Then,
15% of 8 hours = [tex]\frac{15}{100}[/tex] x 8 hours
= 0.15 x 8 hours
= 1.2 hours
(Note that: 1.2 hours = 1 hour 12 minutes)
15% of 8 hours = 1 hour 12 minutes
her new homework time = 8 hours + 1 hour 12 minutes
= 9 hours 12 minutes
Maria's homework time is now 9 hours 12 minutes.
Garrett has a current checking account balance of $695. Over the next three days, he receives a direct deposit of $475.75 from his job, pays an annual online banking fee of $24, and makes purchases of $34.21 and $8.92. He then withdraws $60 from an ATM that charges a $3.50 usage fee.
What is Garrett's account balance at the end of the day period? Write your answer in numeric form, such as $1369.05.
Answer:
1040.12
Step-by-step explanation:
695.00
+475.75
=1,170.75
Subtract
24.00
34.21
8.92
60.00
3.50
= 130.63
695.00+475.75=1,170.75-130.63=1040.12
3)
13 and 31 both are prime numbers. In both numbers, 1 and 3 are common. Now,
make four pairs of such prime numbers from 1 to 100.
13 and 31
17 and 71
37 and 73
79 and 97
hope my ans helps
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Help with this due today
The vertex form of the equation of a parabola is y = (x + 5)2 + 49.
What is the standard form of the equation?
O A. y= x2 + 10x + 74
B. y= x2 + 5x +49
O c. y = x2 + 49x + 35
d
O D. y= 5x2 + 10x+ 74
SUBMIT
Answer:
A
Step-by-step explanation:
The diameters of bolts produced in a machine shop are normally distributed with a mean of 6.4 millimeters and a standard deviation of 0.06 millimeters. Find the two diameters that separate the top 5% and the bottom 5%. These diameters could serve as limits used to identify which bolts should be rejected. Round your answer to the nearest hundredth, if necessary.
Answer:
The bolts with diameter less than 5.57 millimeters and with diameter greater than 5.85 millimeters should be rejected.
Step-by-step explanation:
We have been given that the diameters of bolts produced in a machine shop are normally distributed with a mean of 5.71 millimeters and a standard deviation of 0.08 millimeters.
Let us find the sample score that corresponds to z-score of bottom 4%.
From normal distribution table we got z-score corresponding to bottom 4% is -1.75 and z-score corresponding to top 4% or data above 96% is 1.75.
Upon substituting these values in z-score formula we will get our sample scores (x) as:
Therefore, the bolts with diameters less than 5.57 millimeters should be rejected.
Now let us find sample score corresponding to z-score of 1.75 as upper limit.
Therefore, the bolts with diameters greater than 5.85 millimeters should be rejected
Answer:
6.30 millimeters and 6.50 millimeters.
Which of the following is NOT an irrational number?
Answer:
I'm gonna go with the first choice because it's rational.
Step-by-step explanation:
Answer:
pi is the answer
Step-by-step explanation:
Which represents the value of c?
Answer:
Step-by-step explanation:
you are given the law of sines, in the question, so i'm guessing you don't get "law of sines" ???
some times I think people might just be lazy and they don't try, but I can understand if you really don't get "law of sines' b/c it is kinda abstract.
Any way here is how you solve this problem and please ask if you don't understand about something I do to solve this. Ask about it if you don't get it. :)
Sin(45) / c = Sin(45) / 3
now algebraically solve for c
3* Sin(45) / Sin(45) = c
if you're thinking the answer is 3 you're right.
indecently , if you didn't notice, this is an isosceles triangle and they do have the same length legs. so you know that x = 3 right away from that, but, it's good to understand Law of Sines as well. :)
Divide 14 4/10 by 5 9/16
Alonzo, Alice and Juan again all got different answers when they solve another problem. This time, they were solving:
( − 48 ) ÷ ( − 6 )
Alonzo believes the answer is 8.
Alice believes the answer is -8.
Juan believes the answer is -1/8
Do you agree with any of their answers?
Please help! I will mark you brainiest!!!!
Answer: x = 3
isolate x by adding 4 to each side
2x = 6
Divide by 2 to get x
x = 3
Tarik turns in his third research report.
His teacher says that 20% of his reports for the
year are done. How many research reports will
Tarik complete during the school year?
Show your work.
What is the value of x in the figure above?
What is Y?
What is the value of z?
What 2 methods can be used to find Z?
Answer:
y=92
z=57
TWO METHODS:
1) z=180-31-92 (small triangle)
2) z=180-60-63 (big triangle)
Step-by-step explanation:
63+29+x=180
x=180-92
x=88
y=180-88
y=92
z=180-31-92
z=57
Fill in the blank.
(x+a) (x+b) = (___) (___)
Answer:
(x+a) (x+b)=x(x+b)+a(x+b)=x²+bx+ax+ab=x²+x(a+b)+ab
Step-by-step explanation:
solution
here, given,
(x+a) (x+b)
= x(x+b) +a(x+b)
=x^2+xb+ax+ab ans
hope this helps u..