Answer:
x = 1 or x = -9
Step-by-step explanation:
Solve for x over the real numbers:
x^2 + 8 x - 9 = 0
Hint: | Solve the quadratic equation by completing the square.
Add 9 to both sides:
x^2 + 8 x = 9
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 16 to both sides:
x^2 + 8 x + 16 = 25
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x + 4)^2 = 25
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x + 4 = 5 or x + 4 = -5
Hint: | Look at the first equation: Solve for x.
Subtract 4 from both sides:
x = 1 or x + 4 = -5
Hint: | Look at the second equation: Solve for x.
Subtract 4 from both sides:
Answer: x = 1 or x = -9
Three times two more than some number :
Answer:
5
Step-by-step explanation:
Answer:
6+x
Step-by-step explanation:
3(2)+x
6+x
find the value of sin 0 in each of the following figures.
Answer:
[tex]\displaystyle \sin\theta=\frac{4}{5}[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios.
The longest side of a right triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, we identify an adjacent leg and an opposite leg. The trigonometric ratios are defined upon those sides.
Sine Ratio
[tex]\displaystyle \sin\theta=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
Let's focus on the angle θ. Its opposite leg is 8 cm and the hypotenuse is 10 cm, thus:
[tex]\displaystyle \sin\theta=\frac{8}{10}[/tex]
Simplifying:
[tex]\boxed{\displaystyle \sin\theta=\frac{4}{5}}[/tex]
Hey ! I’m trying to find the slope. If you could help me that’ll be great thank you !!
Answers that might be:
A. 2/3
B. 1
C. 0
D. -1
Answer:
The answer is B. 1
Step-by-step explanation:
rise over run
1/1=1
Answer:
I'm pretty sure it's B. 1
Step-by-step explanation:
Because I got 2 points where the line crosses and I made a triangle joining the points
Then I did the change in y/change in x
and so I did 2/2 and got 1
hopefully that's right :)
Quantities x and y are in a proportional relationship.
Answer:
yes they are
Step-by-step explanation:
Answer:
yes.
Step-by-step explanation:
they are.
Help!!”A 41-foot rope is stretched from the top of a 40-foot flagpole to the ground. How far is the base of the flagpole from the end of the rope.”
Answer:
9 feet away
Step-by-step explanation:
40²+b²=41²
1600+b²=1681
b²=81
b=9
The base of the flagpole from the end of the rope is 9 feet.
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
Hypotenuse = 41 foot
Base = x
Height = 40 foot
Applying the Pythagorean theorem.
41² = x² + 40²
1681 = x² + 1600
x² = 1681 - 1600
x² = 81
x = 9
Thus,
The base of the flagpole from the end of the rope is 9 feet.
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Simplify (-w^3/6)^-2
Write your answer using only positive exponents. Evaluate any numerical powers
36/w^6 is the correct answer
The simplified form of the given expression is -1/w¹.
What is a positive exponent?A positive exponent tells us how many times to multiply a base number, and a negate
ve exponent tells us how many times to divide a base number. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ.
The given expression is [tex](-w^{\frac{3}{6} })^{-2}[/tex]
Here, [tex](-w^{\frac{3}{6} })^{-2}[/tex]=[tex]-w^{\frac{-6}{6} }[/tex]
= -w⁻¹
= -1/w¹
Therefore, the simplified form of the given expression is -1/w¹.
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Is (-10, 10) a solution to this system of equations?
18x + 20y = 20
20x – 2y = 9
yes
no
Answer:
No
(The first system is correct but the second one is wrong)
Step-by-step explanation:
You can plug (-10,10) into these equations
a) 18(-10)+20(10)=20
-180+200=20
20=20
b) 20(-10)-2(10)=9
-200-20≠9
-220≠9
NEED HELP ASAP
jasmine is baking and selling cupcakes for $15 per dozen she would like to make more than $120 in cupcake sales which number line below represents the solution to the situation
Answer:
d
Step-by-step explanation:
What is 72871872672638+8298197891718989+89792797970120=
A) 8.4608626e+15
B) 3890217873487833
C) 7393299382h+9282
D) 5
Answer:
A 8.469862e+15 so that is the answer hope u get the answer cprrect
Simplify the expression 5 to the power of 3 x 5 to the power of -5.
Answer:
5^-2
Step-by-step explanation:
5^3 * 5^-5
~Use exponent rule [ x^y * x^z = x^y+z ]
5^3+(-5)
~Simplify
5^-2
Best of Luck!
Need answers for #3 please hep
Mrs anglin is driving her car at a constant speed of 90 miles in 2 hours select three statements that are true based on her speed to receive full credit must select the correct three responses
Answer:
She traveled 45 miles in 1 hour She traveled 270 miles in 6 hours She traveled 360 miles in 8 hoursStep-by-step explanation:
If Mrs. Anglin traveled at a speed of 90 miles in 2 hours, it means that her speed per hour is:
= 90/2
= 45 mph
If she is travelling at 45mph then in 1 hoour she would have traveled 45 miles.
In 6 hours she would have traveled:
= 45 * 6
= 270 miles
In 8 hours she would have traveled:
= 45 * 8
= 360 miles
Solve for X. 67 = 18 + X
If ur right I'll give you brainily
Answer:
I think the missing length is 7x -5
Step-by-step explanation:
answer: if the x=2
16.2=32 32-6=26
4.2=8 8+1=9 26-9=17
5.2=10 10-2=8 17-8=9
7.2=14 14-5=9 9-9=0
Answer:
7x-5
Step-by-step explanation:
PLZ PLZ someone help me
Answer:
y=4/5x
Step-by-step explanation:
How many square centimeters of
wrapping paper will be used to wrap the
shoe box?
14 cm
4
10 cm
10
28 cm
Answer:
1624 cm^2.
Step-by-step explanation:
2 * 10*28 + 2*14*28 + 2*10*14
= 560 + 784 + 280
= 1624 cm^2.
The number of square centimeters of wrapping paper will be used to wrap the shoe box should be [tex]1624\ cm^2.[/tex]
Calculation of the number of square centimeters:Since
The length, width, and the height is 14, 10 and 28
So here it should be
[tex]= 2 * 10*28 + 2*14*28 + 2*10*14[/tex]
= 560 + 784 + 280
= 1624 cm^2.
Hence, The number of square centimeters of wrapping paper will be used to wrap the shoe box should be [tex]1624\ cm^2.[/tex]
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what are the ordered pairs
Answer:
A and B
Step-by-step explanation:
Jeremiah plans on building a 5 meter long garden walkway that is paved with square stones that measure 5/6 meters on each side. There will be no spaces between the stones. How many stones will be needed to complete the garden walkway? (whoever answers the question first correctly will get brainiest.)
Answer:
Figure it out yourself I just told you how to do it
Step-by-step explanation:
Search are my plans on building you find me along garden walkway this is paid with square stone that is mushroom 5 / 6 meters on each side but if there is no spaces between the stones than that means it 5A few times 5 meters and 6 / 5 you will get your answer on how long the stalls will be needed to complete the garden walkway
While completing a DLA test virtually, Deidra answered 8 out 30 questions incorrectly. If the ratio remains constant, how many questions should Deidra answer correctly out of 45 questions?
Answer:
I wnat to say its 19
Step-by-step explanation:
please help me with this.
help please... definition and an example of a quadratic function
Answer:
Step-by-step explanation:
Quadratic function is a function that can be described by an equation of the form fx = ax2 + bx + c, where a ≠ 0.
Example:
1. Use the graph of y = x2 + x - 6 to solve x2 + x - 6 = 0.
2. Use the graph of y = -x2 + 4 to solve -x2 + 4 = 0.
3. Use the graph of y = x2 -2x + 1 to solve x2 -2x + 1.
In triangle DEF, CG = (x + 5) units and DG = (3x - 2) units.
Triangle D E F has centroid G. Lines are drawn from each point to the midpoint of the opposite side to form line segments D C, E B, F A.
[Figure may not be drawn to sacle]
What is DG?
12 units
17 units
34 units
51 units
A centroid is the intersection point of the medians of a triangle. The required length of DG is 2.4 unit.
What is a triangle?A triangle is a two dimensional shape bounded by three sides. The sum of the interior angles of a triangle is 180°. The longest side of a triangle is always less than the sum of other two sides.
Given that,
There is a triangle ΔDEF.
The centroid of the given triangle is G.
The medians of the triangle are DC, EB and FA.
CG = (x + 5)
DG = (3x - 2)
Here, CG and DG are parts of the median DC.
Since, centroid of a triangle divides its each medians into the ratio of 2 : 1
in the direction from the vertex to the midpoint of the opposite side.
The following expression can be written for the given problem,
DG/CG = 1/2
=> (3x - 2)/ (x + 5) = 1/2
=> 2(3x - 2) = x + 5
=> 6x - x = 5 + 4
=> x = 9/5
=> x = 1.8
Thus, DG = (3x - 2)
= 3 × 1.8 - 2
= 2.4
Hence, the length of DG is given as 2.4 unit.
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Answer:
34 units
Step-by-step explanation:
The first time i took the pretest i guessed 17 units and it was incorrect, so when i had to go through with the lesson and take the quiz i guessed 34 units and it was correct.
?
Solve for X
9x + 8 = -1
Answer:
x = -1
Step-by-step explanation:
9x + 8 = -1
Subtract 8 from each side
9x + 8-8 = -1-8
9x = -9
Divide each side by 9
9x/9 = -9/9
x = -1
43% of businesses in the US require a doctors note when an employee takes sick time. You randomly select nine businesses and ask if it requires a doctors note when an employee takes sick time. Find the probability that the number who say they require a doctors note is at least 5
Answer:
Step-by-step explanation:
Hihihihojohihij
I need help understand
Answer: -18
2 1/4 = 9/4
9/4×-8/1
9×-8=-72
4×1=4
-72/4=-18
-18
I hope this helps:
For the diagram below, set up an equation and solve for all missing variables, find x. Plz help
Answer:
x=20
Step-by-step explanation:
6 - 8x = 5x - 9x - 22
Answer:
x is 7 in this question...
Please give me the correct answer
Answer:
(-3,-2)
Step-by-step explanation:
If you draw a line across from Point A to -3, and a line down from Point P to -2, you get the point (-3,-2) and a right triangle.
I need this answer ASAP
Answer:
i think the area is 60 i added it up
Question 4 Given: f(x) = -3x – 3 and g(x) = x2 + 5 Find (f - g) ().
Answer:
We get [tex]\mathbf{(f-g)(x)= -x^2-3x-8}[/tex]
Step-by-step explanation:
We are given:
[tex]f(x) = -3x - 3\\ g(x) = x^2 + 5[/tex]
We need to find (f-g)(x) (assuming there is x in the bracket, i.e. (f - g) () should be (f-g)(x))
We would simply subtract f(x) and g(x)
[tex](f-g)(x)\\= -3x-3-(x^2+5)\\Multiply\:minus\:sign\:with\:terms\:inside\:the\:bracket\\=-3x-3-x^2-5\\Combining\:like\:terms:\\=-x^2-3x-3-5\\=-x^2-3x-8[/tex]
So, We get [tex]\mathbf{(f-g)(x)= -x^2-3x-8}[/tex]