Answer:
(x - 1)² + 16
Step-by-step explanation:
x² - 2x + 17 = 0Subtract 17 from both sides of the equation.
x² - 2x = -17Use the formula (b/2)² to see which number you have to add to both sides.
(-2/2)² = 1Add 1 to both sides of the equation.
x² - 2x + 1 = -17 + 1Factor the left side of the equation into a perfect square.
(x - 1)² = -16Add 16 to both sides of the equation.
(x - 1)² + 16(x - 1)² + 16 is the equation in standard form (x² - 2x + 17) rewritten by completing the square.
Find the angle between the given vectors to the nearest tenth of a degree.
u = <-5, 8>, v = <-4, 8>
2.7°
-7.3°
5.4°
15.4°
9514 1404 393
Answer:
(c) 5.4°
Step-by-step explanation:
We can simply determine the difference between the angles of the vectors:
arctan(8/-5) -arctan(8/-4) = 122.005° -116.565° = 5.440°
The angle between the vectors is about 5.4°.
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Alternate solutions
1) We could also determine the angle of their ratio.
u/v = (-5 +8i)/(-4 +8i) = (-5 +8i)(-4 -8i)/(4² +8²) = (84 +8i)/80 = 1.05 +0.1i
angle = arctan(0.1/1.05) = 5.440°
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2) Tan(a-b) = (tan(a)+tan(b))/(1 -tan(a)(tan(b))
tan(∠u -∠v) = ((tan(∠u) -tan(∠v))/(1 +tan(∠u)tan(∠v))
= (-1.6 -(-2))/(1 +(-1.6)(-2)) = 0.4/4.2
∠u -∠v = arctan(2/21) = 5.440°
if 3/4 of a certain number is equal to 9 find the number
write the equation.
3/4n=9
now solve.
3/4n=9
/3/4 /3/4
n=12
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hope it helps
Answer:
x = 12
Step-by-step explanation:
Hey, can anyone help me with this homework answer?
Answer:
x=10
Step-by-step explanation:
Answer: 10
Step-by-step explanation: 7x-11=x-49
7x - 11 = x - 49 so add 11 to both sides 7x = x -60
Then 7x - x = 6 so 60/6= 10
Select all the true statements.
(1048 – 876) ÷ 4 is four times as large as (1048 – 876).
(1048 – 876) + 24 is 24 times as large as (1048 – 876).
(1048 – 876) – 17 is seventeen less than (1048 – 876).
1/2 × (1048 – 876) is half as large as (1048 – 876).
(1048 – 876) × 4 is four more than (1048 – 876).
Answer:
C and D are are the true statements
P(x)=0.2x^2+20x-4 where x is the number of units sold. How many units need to be sold for the business to make a profit of $101?
Answer:
5
Step-by-step explanation:
Given the profit equation ;P(x)
x = number of units sold
P(x) = profit made
P(x) = 101
101 = 0.2x^2+20x-4
0.2x^2+20x-4 - 101
0.2x² + 20x - 105 = 0
Using the formula:
-b±[sqrt(b² - 4ac) / 2a]
Where ;
a = 0.2 ; b = 20, c = - 105
Using the quadratic equation solver to save time :
The roots are :
-105 and 5
Items sold cannot be negative ;
Hence, x = units sold = 5
Do the sides 11 cm, 20 cm, and 4 cm make a triangle? *
Answer:
No, the two sum of the two shorter sides of a triangle must be greater that the longer side.
Answer: yes it does and It will look something like this
Step-by-step explanation:
**GIVING BRAINLIEST**
out in the open ocean, a tsunami can travel 800 kilometers per hour but as it reaches the coast it has to compress and slow down. suddenly it is now traveling only 160 kilometers in 2 hours. what is the rate of speed?
Write an equation in point-slope form for the line that passes through (–2, 1) with a slope of 1/4. Giving brainliest!
Answer:
y=1/4x+1.5
Step-by-step explanation:
Slope is 1/4 and I figured out that the y-intercept point is 1.5y.
I am not exactly sure though
5m<6m+6 pls help me
Let's solve your inequality step-by-step.
5m<6m+6
Step 1: Subtract 6m from both sides.
5m−6m<6m+6−6m
−m<6
Step 2: Divide both sides by -1.
−m / −1 < 6 / −1
m>−6
Answer:
m>−6
Exponential functions have a variable as an exponent.
Which of these functions are exponential?
Answer:
First, third and the last.
Step-by-step explanation:
y = 2^r + 1
The variable r is an exponent
What is the circumference of the circle? Use 3.14 for Pi.
Answer: Could we see the circle we need to find the circumference for?
Step-by-step explanation:
line R has the equation y=4x+7 Line P is parallel tone line R and intersects the y axis a (0,-5). write down the equation of line P in the form y=mx+c
In ΔDEF, the measure of ∠F=90°, the measure of ∠D=58°, and DE = 42 feet. Find the length of EF to the nearest tenth of a foot.
Answer:
35.6
Step-by-step explanation:
30 POINTS!!! Kent won 25% of the games he played on Saturday. If he lost 12 games on Saturday, and no game ended in a tie, how many games did he win?
Answer:
He won 4 games
Step-by-step explanation:
Percentage of games he lost= 75%
Let the total number of games be [tex]x[/tex]
75% of [tex]x[/tex] = 12
[tex]\frac{75x}{100}[/tex] = 12
75[tex]x[/tex]= 12 x 100
[tex]x[/tex]= [tex]\frac{1200}{75}[/tex]
=16
Number of games he won = 16-12
= 4
Answer:
4
Step-by-step explanation:
If Kent won 25% of the games, he lost 75% of them. Thus if g is the total number of games he played,
12 = 0.75(g) ---> g=16
So the number of games he won was 16 - 12 = 4.
Pls help you can do either one
Answer:
4. 20.8 in
5. 60 degrees
6. i cant see number 6 so yah
Step-by-step explanation:
14 - 3x = -13
find x no need to show work
The area of a rectangle is 8w + 18 square feet. The length of the rectangle is 2 feet. Use factoring to write an expression to represent the width of the rectangle.
Answer:
4w + 9
Step-by-step explanation:
Area of rectangle = length x width (or base x height, depending on how you look at it).
It is given to you that:
Area = 8w + 18
Length = 2
Let: width = x
Plug in the corresponding terms with the corresponding words:
8w + 18 = 2x
Isolate the variable, x. Divide 2 from both sides of the equation:
(8w + 18)/2 = (2x)/2
x = (8w + 18)/2
w = (8w)/2 + (18)/2
w = 4w + 9
4w + 9 is the expression that represents the width of the rectangle.
~
There are 1,560 students enrolled at Greenwood Middle School. If 85% of these students ride the bus, how many do not ride the bus?
Answer:
234 students do not ride the bus
Step-by-step explanation:
1560*0.15
Answer:
if 85% ride the bus, that leaves 15% not riding.
1560× .15= 234 students
find the slope of line through points (4,-4) and (9,-4)
Step-by-step explanation:
Slope is equal to the change in y over the change in x, or rise over run.
[tex]m = \frac{change \: in \: y}{change in \: x\: } [/tex]
The change in x is equal to the difference in x-coordinates (also called run), and the change in y is equal to the difference in y-coordinates (also called rise).
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Substitute in the values of x and y into the equation to find the slope.
[tex]m = \frac{ - 4 - ( - 4)}{9 - (4)} [/tex]
Simplify.
[tex]m = 0[/tex]
Therefor, The slope is 0.
Answer:
Slope: 0
Step-by-step explanation:
The formula to finding slope is [tex]\frac{y1-y2}{x1-x2}[/tex]
We have the points (4,-4) and (9,-4)
So plug in:
[tex]\frac{-4-(-4)}{4-9}[/tex]
Simplify:
[tex]\frac{0}{-5}[/tex]
Slope: 0
which is a rational number
a) 1.4142135623
b) 3.6256256
c) 2 (pie)
d) squared 5
Answer:
Rational numbers can be expressed as a fraction
Squared 5 = 25
25 can be expressed as a fraction- 25/1, so d is correct.
Let me know if this helps!
5 squared is right im sorry i miss read it
You deposited $10,000 into a savings account that compounds quarterly. The account has an interest rate of 3%. What would be the value after 30 years?
Answer:
$24272.62
Step-by-step explanation:
Given data
Principal= $10,000
Rate= 3%
Time = 30 years
The expression for the compound interest is given as
A= P(1+r)^t
Substitute
A=10000(1+0.03)^30
A=10000(1.03)^30
A=10000*2.4272
A= 24272.62
Hence the final Amount A=$24272.62
The first triangle is an enlargement of the second.
Calculate the size of the missing sides and angles.
Answer:
large triangle:
base = 6.64 cm
hypotenuse = 8.31 cm
small triangle:
base = 4 cm
Step-by-step explanation:
large triangle:
tan 37 = 5/base
0.7536 = 5/base
base = 6.64 cm
using the Pythagorean theorem:
hypotenuse² = 5² + 6.64²
hypotenuse² = 25 = 44.02 = 69.02
hypotenuse = 8.31 cm
small triangle:
using the Pythagorean theorem:
base² = 5² - 3²
base² = 25 - 9 = 16
base = 4 cm
A) x+1
B)5x-3
C)3x-1
D)9x-3
Answer:
D)9x-3
Step-by-step explanation:
Perimeter = 2x + 4x - 2 + 3x - 1 ( add all the sides )
Bring the like terms together and simplify.
= 2x + 4x + 3x - 2 - 1
= 9x -3
?????Help help help help help
Answer:
trapezoid
Step-by-step explanation:
The quadrilateral below is a rectangle. Solve for x and m
Answer:
x = 13
∠WZX = 57°
Step-by-step explanation:
Because it is a rectangle, ∠XYZ is 90°
∠XZY + ∠YXZ = 90
(5x - 8) + (x + 20) = 90
simplify:
6x + 12 = 90
subtract 12 from each side
6x = 78
divide both sides by 6
x = 13
∠WZX is complimentary to angle (x + 20)
∠WZX = 90 - (13 + 20) = 57°
Write an explicit formula for an the nth
term of the sequence 8, 48, 288
Answer:
Step-by-step explanation:
a₁ = 8
a₂ = 48
Common ratio r = a₂/a₁ =6
nth term = a₁rⁿ⁻¹
= 8×6ⁿ⁻¹
Use the identity LaTeX: \left(x+y\right)\left(x^2-xy+y^2\right)=x^3+y^3 to find the sum of two numbers if the product of the numbers is 28, the sum of the squares is 65, and the sum of the cubes of the numbers is 407.
Enter your answer as a number, like this: 42
Answer:
you just copy and pasted from your canvas assignment or something. its a bunch of random code.Step-by-step explanation:
Reid bought 4 souvenirs during 2 days of vacation. How many days will Reid have to spend on vacation before he will have bought a total of 14 souvenirs?
Step-by-step explanation:
4/2=2 souvenirs per day
2x=14=>x=7 days time to buy 14 souvenirs
Hence the 6th day is the day before he buys 14 souvenirs.
Expert Help Please If AD=23 and BC=46, find EF.
Geometry!
Answer:
69
Step-by-step explanation:
If 46-26 =26 then 46+26=69.
PLEASE HELP this is worth so much of my grade
1) Two triangles are congruent if they meet one of the following criteria. : All three pairs of corresponding sides are equal. : Two pairs of corresponding sides and the corresponding angles between them are equal. and another pair of corresponding sides are equal in two right triangles.
2) check the picture (screen shot 2021...)
3) check picture (1200px-Compl..)
4)check picture (bwgCX8jKTG...)
5) Two figures are said to be similar if they are the same shape. In more mathematical language, two figures are similar if their corresponding angles are congruent , and the ratios of the lengths of their corresponding sides are equal.
6) idonno what you discussed in class. if you tell me, i Draw it.
7) The Pythagorean Theorem describes the relationships between the sides of a right triangle. The square of the hypotenuse, the side opposite the right angle, is equal to the sum of the squares of the two sides. The formula is a2 + b2 = c2.