Answers
Answer:
x=0 or x=−4
Step-by-step explanation:
Let's solve your equation step-by-step.
(x+2)2=4
Step 1: Simplify both sides of the equation.
x2+4x+4=4
Step 2: Subtract 4 from both sides.
x2+4x+4−4=4−4
x2+4x=0
Step 3: Factor left side of equation.
x(x+4)=0
Step 4: Set factors equal to 0.
x=0 or x+4=0
x=0 or x=−4
Related Questions
9. The annual interest rate is 21%. The balance after the grace period was $700. No
payments were received. What is the interest for the month?
Answers
Answer:
Interest for the month = $12.25
Step-by-step explanation:
Given:
Amount in bank = $700
Rate of interest per month = 21% / 12 = 0.0175
Find:
Interest for the month
Computation:
Interest for the month = Amount in bank × Rate of interest per month
Interest for the month = $700 × 0.0175
Interest for the month = $12.25
The three sides of a triangle are 4cm, 6cm and 8cm.
(a) find the cosine of the largest angle
(b) show that the area of the triangle is 3√15cm²
(c) find the length of the shortest altitude of the triangle
Answers
Answer:
In bold below.
Step-by-step explanation:
(a) The largest angle is opposite the largest side.
So by the Cosine Rule:
8^2 = 4^2 + 6^2 - 2*4*6 cos x
cos x = (8^2 - 4^2 - 6^2) / (-2*4* 6)
= -0.25.
x = 104.48 degrees.
(b) Area of the triangle = 1/2 * 4 * 6 sin 104.48
= 11.62
= 3 √15.
(c) The shortest altitude will have the longest sides as the base.
Area = 1/2 * altitude * base
3√15 = 1/2 * 8 * a
a = 3√15 / 4 cm
= 0.75√15 cm.
The cosine of the largest angle is 104.48 degrees
The area of the triangle is 3√15cm² is 3 √15
The length of the shortest altitude of the triangle is 0.75√15 cm.
What is the triangle?
A triangle can be defined as a figure that has three lines. It can be of various dimensions it can a scale as Pythagoras or an isosceles triangle. They all have different properties.
(a)
With the help of the Cosine Rule:
[tex]8^2[/tex] = [tex]4^2 + 6^2 - 2 \times 4\times6 cos x[/tex]
cos x = [tex](8^2 - 4^2 - 6^2) / (-2 \times 4 \times 6)[/tex])
= -0.25.
x = 104.48 degrees.
(b)
Area of the triangle
=[tex]1/2 \times 4 \times 6 sin 104.48[/tex]
= 11.62
= 3 √15.
(c)
Area =[tex]1/2 \times altitude \times base[/tex]
3√15 = 1/2 * 8 * a
a = 3√15 / 4 cm
= 0.75√15 cm.
Learn more about triangle, here:
https://brainly.com/question/25813512
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Which comparison is false? a) 4 liters < 1 gal b) 1ft < 1 meter c) 25 grams < 1 oz d) 10 km < 9 miles
Answers
Answer:
a. is false
Step-by-step explanation:
4 liters= 1.057 gal
1.057 is greater than 1
Hope this helps :)
given right triangle ABC with right angle C and cos A= 1/3, which of the following expressions is also equal to 1/3?
a. sinB
b. sin(90°-A)
c. sin(90°-B)
d. Both A and B are correct
Answers
Answer:
D
Step-by-step explanation:
So we know that:
[tex]\cos(A)=1/3[/tex]
To co-function identities state that:
[tex]\cos(\theta)=\sin(90\textdegree-\theta)[/tex]
Therefore, this is the same as:
[tex]\cos(A)=\sin(90\textdegree-A)[/tex]
B is correct.
Additionally, recall that in a right triangle, the two other angles must add up to 90. In other words:
[tex]A+B=90[/tex]
Subtract A from both sides:
[tex]B=90-A[/tex]
So we can make the substitution:
[tex]\sin(90-A)=\sin(B)[/tex]
Thus, A is also correct.
The correct answer is D .
Answer:D
Step-by-step explanation:
So we know that:
To co-function identities state that:
Therefore, this is the same as:
B is correct.
Additionally, recall that in a right triangle, the two other angles must add up to 90. In other words:
Subtract A from both sides:
So we can make the substitution:
Thus, A is also correct.
The correct answer is D .
A shopper’s discount club charges a monthly fee of $15 and sells gasoline for $2.05 per gallon. The gas station across the street sells gasoline for $2.35 per gallon and charges no fee. Write and equation to model how many gallons of gasoline would you have to buy in one month to spend the same amount at either store
Answers
Answer:
15 + 2.05 x = 2.35 x
Step-by-step explanation:
Let x be the number of gallons you would have to buy for the two places to be the same.
At the club, there is a monthly fee of $15 that is charged once in a month. They also charge $2.05 per gallon, which is charged every gallon of gas you buy.
We can write an expression: 15 + 2.05 x
At the gas station, they charge $2.35 per gallon with no other fees.
We can also write an expression: 2.35 x
For the prices to be the same, we have 15 + 2.05 x = 2.35 x
If we were to solve, then we have:
(2.35 - 2.05) x = 15
x = 15 / 0.3 = 50 gallons
Each side of a square is increasing at a rate of 5 cm/s. At what rate is the area of the square increasing when the area of the square is 36 cm2
Answers
Answer: 60
Step-by-step explanation:
[tex]A = s^2\\\\frac{dA}{dt}=2s \frac{ds}{dt}\\36=s^2 \\ s=6\\\frac{dA}{dt} = 2(6)(5)=60 \frac{cm^2}{s}[/tex]
Answer:
The area of the square is increasing at a rate of 60 cm²/s
Step-by-step explanation:
Let [tex]l[/tex] be the length of the side of the square
Hence, The area of the square is given by
[tex]A = l^{2}[/tex]
Where [tex]A[/tex] is the area of the square
From the question, each side of a square is increasing at a rate of 5 cm/s, that is,
[tex]\frac{dl}{dt} = 5 cm/s[/tex]
Now, to determine the rate at which the area of the square is increasing, That is [tex]\frac{dA}{dt}[/tex]
To find [tex]\frac{dA}{dt}[/tex], differentiate [tex]A = l^{2}[/tex] with respect to [tex]t[/tex]
From, [tex]A = l^{2}[/tex]
[tex]\frac{dA}{dt} = \frac{d(l^{2}) }{dl}[/tex] ×[tex]\frac{dl}{dt}[/tex]
[tex]\frac{dA}{dt} = 2l[/tex] ×[tex]\frac{dl}{dt}[/tex]
Now, to determine the rate at which the area of the square is increasing when the area of the square is 36 cm²
First, we will determine the length at this instance,
From, [tex]A = l^{2}[/tex]
[tex]36 = l^{2}\\ \sqrt{36} = l\\6 = l\\l = 6cm[/tex]
The length at this instance is 6cm
To determine the rate at which the area of the square is increasing at this instance
[tex]l = 6cm\\[/tex]
From the question, [tex]\frac{dl}{dt} = 5 cm/s[/tex]
Hence,
[tex]\frac{dA}{dt} = 2l[/tex] ×[tex]\frac{dl}{dt}[/tex]
[tex]\frac{dA}{dt} = 2(6)[/tex] × [tex]5[/tex]
[tex]\frac{dA}{dt} = 60 cm^{2}/s[/tex]
Hence. the area of the square is increasing at a rate of 60 cm²/s
3. A car is traveling at a speed of 60 miles per hour. What's the dependent variable in this situation?
A. The speed at which the car travels
B. The age of the car
C. The number of hours the car has traveled
D. The distance the car has traveled
Answers
Answer:
The answer is A) the speed at which the car has traveled
Step-by-step explanation:
−6w + 9wy + 6 + 2wy − 4y
Answers
Answer:
-6w + 11wy + 6 - 4y
Step-by-step explanation:
Step 1: Write out expression
-6w + 9wy + 6 + 2wy - 4y
Step 2: Combine like terms
-6w + 11wy + 6 - 4y
Answer:
11wy-6w-4y+6
Step-by-step explanation:
−6w + 9wy + 6 + 2wy − 4y
Combine like terms
−6w + 6 + 2wy+ 9wy − 4y
11wy-6w-4y+6
Will mark brainliest
Worth 50 points I need help with this practice test.
Answers
Answer:
first question answer: [tex]\frac{1}{12}[/tex]
second question answer: commutative property of multiplication
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{ \: 1. \: \: \: \: \: \frac{1}{12} }}}}[/tex]
[tex] \boxed{ \bold{ \boxed{ \sf{2. \: \: \: \: associative \: property \: of \: multiplication}}}}[/tex]
Step-by-step explanation:
1. [tex] \sf{ \sqrt{ \frac{1}{144} } }[/tex]
⇒[tex] \sf{ \sqrt{ \frac{ {1}^{2} }{ {12}^{2} } } }[/tex]
⇒[tex] \sf{ \sqrt{ { (\frac{1}{12}) }^{2} } }[/tex]
⇒[tex] \sf{ \frac{1}{12} }[/tex]
2. Associative property of multiplication
It states that the product of three or more integers remains unchanged even if they are grouped in different orders.
Hope i helped !
Best regards! :D
For what values of x is each function increasing? For what values of x is it decreasing? a. f(x) = x2 - 4x
Answers
Answer:
to the right of x = 2 the function is increasing
{ x | x > 2}
Step-by-step explanation:
Recall that this is a quadratic function, and therefore responds to the shape of a parabola. In this case is also a parabola with branches opening up since the coefficient of the square term is positive. So, we just need to find where the vertex is located, and we know that to the left of the x-value of the vertex the function is decreasing, and to the right of it the function is increasing.
The formula for the x of the vertex of a parabola of the form:
[tex]y=ax^2+bx+c[/tex]
is [tex]x_{vertex}=\frac{-b}{2\,a}[/tex]
which in our case gives:
[tex]x_{vertex}=\frac{-b}{2\,a} =\frac{4}{2} =2[/tex]
Therefore, to the left of x = 2 the function decreases , and to the right of x = 2 the function is increasing.
square root of 1.9321
Answers
Answer:
square root of 1.9321 = 1.39
Step-by-step explanation:
Which is the closest estimate of the following sum? 4.038 + 5.5 + 2.17
Answers
Answer:
12
Step-by-step explanation:
Round 4.038 down to 4
Round 5.5 up to 6
Round 2.17 to 2
4+6+2 = 12
What should be subtracted from thrice the rational number -5/3 to get 1/2?
Answers
Answer:
The number to be subtracted = -11/2
Step-by-step explanation:
(3*rational number)-x=1/2
The rational number given = -5/3
Then thrice the rational number
= 3*rational number
= 3*(-5/3)
= -5
(3*rational number)-x=1/2
-5-x= 1/2
-5- 1/2= x
-11/2= x
The number to be subtracted = -11/2
(Please show your work.)
Answers
Answer:
B
Step-by-step explanation:
So we have:
[tex]g(x)=x^2+3x-1[/tex]
To find g(5), substitute 5 for x:
[tex]g(5)=(5)^2+3(5)-1[/tex]
Square and multiply:
[tex]g(5)=25+15-1[/tex]
Add:
[tex]g(5)=40-1[/tex]
Subtract:
[tex]g(5)=39[/tex]
So, our answer is B :)
Answer: OPTION 2. 39
Step-by-step explanation:
g(x)=x²+3x-1 ⇔ Given
g(5)=(5)²+3(5)-1 ⇔ Plug the value of x in (5)
g(5)=25+15-1 ⇔ do all the operation (square, multiplication, etc.)
g(5)=40-1 ⇔ combine like term (first do the first two)
g(5)=39 ⇔ combine like term
Hope this helps!! :)
Please let me know if you have any question
please help// geometry question.... geometry question pt.2
Answers
Answer:
a) E
b) line segment AB
Step-by-step explanation:
a) E
b) line segment AB (It's AB with the line over it - no arrowheads)
4(x - 5) = 4 (4 + x)
Answers
Answer:
x=0
Step-by-step explanation:
4(x-5) = 4(4+x)
4x-20 = 16+4x
4x-4x = 16+20
0x=36
x = 36/0
x = 0
hope it might help
Please mark me as brainlist
What’s 50 1/3+ 50 1/3?
Answers
Answer:
100 2/3
Step-by-step explanation:
50+50=100
1/3+1/3=2/3
100+2/3= 100 2/3
Answer:
Hey there! :)
Step-by-step explanation:
~Answer would be 100 2/3
(There is 3 steps for solving this question, the steps are provided below!)
Here is two ways you can solve this problem!:
Steps in order to solve this problem:
~ 1.Make both of the mixed number into a improper fraction.
151/3 + 151/3
~ 2.Now, when you add ‘151/3 + 151/3’ you will get 302/3.
~ 3.Finally you divide 302 and 3 which will give you 100 2/3
……………………………………………………………………………………………………
Another way to solve the question:
~1.Break up the mixed number:
50 1/3 = 50 + 1/3
50 1/3 = 50 + 1/3
~2.So this is the question you asked 50 1/3 + 50 1/3
Add 50+50 which gives you 100.
We solved for the whole number and now we have to solve for the fractions part.
1/3 + 1/3 = 2/3
~3.We got 100 as the whole and 2/3 as the fraction.
So now you just combine them both.
100 + 2/3 = 100 2/3
Therefore the answer is 100 2/3
Hope this helps!! I would be glad to help you with anything you don’t understand about this question! :D
Good luck!
(HELP URGENT RESPOND QUICKLY) What is the correct classification of 32?
Answers
Answer: Option 1. irrational number, nonrepeating decimal
Step-by-step explanation:
the simplified version of √32 is 4√2
√2 is not a rational number since it can't be written in the form of fraction, so √32 is also irrational.
√2 is equal to 1.414213562... this is nonrepeating, which means, √32 is nonrepeating.
Hope this helps!! :)
Please let me know if you have any question or need further explanation
is -15.5 a rational number
Answers
Answer:
Yes -15.5 is a rational number
Step-by-step explanation:
A rational number is a number that can be in the form p/q
where p and q are integers and q is not equal to zero.
-15.5 can easily be converted to fraction form which is = [tex]\frac{31}{2}[/tex]
Hope this helps you! :)
Answer:
Yes
Step-by-step explanation:
-15.5 can be rewritten as -155/10, which is a rational number. Yes.
Furthermore, -155/10 can be reduced to the equivalent
-31/2
PLS SOLVE THIS , IM UNABLE TO GET IT
Answers
Step-by-step explanation:
Remember:
X = 2.5
Y = 1.5
Z = 1
The chart:
X Y Z
I 10000 7000 8000
II 6000 10000 5000
X
The first column represents X. Since X's value is 2.5, we multiply both those numbers by 2.5.
[tex]10,000*2.5=25,000[/tex]
[tex]6000*2.5=15,000[/tex]
These are the values of X.
Y
The second column represents Y. Since Y's value is 1.5, we multiply both of the values by 1.5.
[tex]7,000*1.5=10,500[/tex]
[tex]10,000*1.5 = 15,000[/tex]
These are the values of Y.
Z
The last column represents Z. Since Z's value is 1, we do not need to multiply the numbers, since they are already multiplied by 1.
[tex]8,000[/tex]
[tex]5,000[/tex]
These are the values of Z.
ADDING
Now that we have are 6 numbers solved, all we have to do is add them all together.
[tex](25+15+10.5+15+8+5)\\25,000+15,000+10,500+15,000+8,000+5,000=78,500[/tex]
Our final answer: $78,500 is the total. (first option)
Evaluate f(-2) for f(x)= 8x^2-7x+3
Answers
Answer: 49
Step-by-step explanation:
We know, x = -2
Substituting value of x in [tex]8x^{2} -7x+3[/tex],
[tex]8(-2)^{2} - 7(-2) + 3\\=8(4) -7(-2) + 3\\=32+14+3\\=49[/tex]
Answer:
f(-2)=8*(-2)^2-7*(-2)+3=8*4+14+3=32+17=49
Step-by-step explanation:
The mass of a box is 300kg and its base area is 15m^2. calculate the pressure exerted by the box on the ground( gravity=9.8m/s^2)
Answers
Answer:
Explanation:
Given;
Mass of a box (m) = 300kg
Area of box (a) = 15m²
Pressure exerted by the box (P) = ?
Acceleration due to gravity (g) = 9.8m/s²
Here,
Pressure = Force / Area
= mass × acceleration due to gravity / Area [Since, force=mass×acceleration due to gravity]
= 300 × 9.8 / 15
= 2940 / 15
= 196 N/m²
Which of the following equations would appear as a straight line on a semilog plot? y = 5 exp(2.3x), y = 5 exp(1.1x) + 400, y = (2)^4x, y = 3x^5
Answers
Answer:
[tex]y = 5\cdot e^{2.3\cdot x}[/tex]
Step-by-step explanation:
A semilog plot consist in a logarithmic axis and a linear axis. In this case, the only equation that fulfill the statement conditions of a semilog plot is [tex]y = 5\cdot e^{2.3\cdot x}[/tex], as it is proved below:
1) [tex]y = 5\cdot e^{2.3\cdot x}[/tex] Given
2) [tex]y = \ln (5\cdot e^{2.3\cdot x})[/tex] Semilog plot
3) [tex]y = \ln 5 + \ln e^{2.3\cdot x}[/tex] [tex]\ln (a\cdot b) = \ln a + \ln b[/tex]
4) [tex]y = \ln 5 + 2.3\cdot x \cdot \ln e[/tex] [tex]\ln a^{b} = b\cdot \ln a[/tex]
5) [tex]y = \ln 5 + 2.3\cdot x[/tex] [tex]\ln e = 1[/tex]/Modulative property/Result
what is found on pages starting with the letter g
Answers
Answer:
gay
Step-by-step explanation:
i mean it starts with a g doesnt it?
Answer:
google?
Step-by-step explanation:
There are can be can be many things found on the pages starting with the letter g.
The temperature at 6:00am was -4 degrees The temperature increased 20 degrees by noon what was the temperature at noon
Answers
Answer:
16 degrees
Step-by-step explanation:
Add 20 to -4
-4 + 20
= 16
So, the temperature at noon was 16 degrees
Answer:
16 degrees
Step-by-step explanation:
The question states that it increased +20 degrees by noon from 6:00 am. So,
-4 + 20 = 16
The temp would be 16 degrees at noon.
Use the given diagram to answer the question.
Which line is the intersection of two of the planes shown?
V
X
Y
Z
Which Wine intersects one of the planes shown?
W
x
y
z
Which line has points on three of the planes shown?
V
X
Y
Z
Answers
Answer:
X Z Y
Step-by-step explanation:
The first Question is X
The second Question is Z
The third question is Y
Answer:
Q1: X
Q2: Z
Q3: Y
Step-by-step explanation:
Find three consecutive integers whose sum is 216. (Hint: if n represents the smallest of the three integers, n + 1 and n + 2 represent
the other two numbers.)
Answers
Answer:
71, 72, 73
Step-by-step explanation:
So we want to find three consecutive integers that equal 216.
Let the first integer be n.
Then the second integer is n+1, and the third integer is n+2.
Thus:
[tex]n+(n+1)+(n+2)=216[/tex]
Combine like terms:
[tex]3n+3=216[/tex]
Subtract 3 from both sides:
[tex]3n=213\\[/tex]
Divide 3 from both sides:
[tex]n=71[/tex]
So, the first term is 71.
And the other two is 72 and 73.
And we are done :)
Graph the following line using x and y intercepts: x-4y=4
Answers
Answer:
Step-by-step explanation:
first you would get it into y=mx+b and you would get -4y=-x+4 and simplify
y=[tex]\frac{1}{4}[/tex]x+1 and if you graph it it would look like this
Normal probability plots indicate that the sample data come from normal populations. Are the requirements to use the one-way ANOVA procedure satisfied?
Answers
Answer:
No it is not satisfied
Step-by-step explanation:
The one-way ANOVA is used to measure whether the difference between the means of two independent groups are statistically significant.
For it to be satisfied, there has to be one independent variable which is categorical and one dependent variable. The dependent variable on its own has to be a continuous variable
The assumptions are:
1. Equal variance between population
2. Independence between observations
3. The random samples have to be gotten from a normal population.
ILL GIVE YOU BRAINLIST !
The expression f - 26 represents the year Alabama entered the Union, where fis the year Florida entered. In which year did Alabama enter the Union?
F 1819
H 1837
G 1826
J 1871
Answers
Answer:
1819
Step-by-step explanation: