Answer:
Step-by-step explanation:
Finding solutions in a problem like this requires factoring. That means we need to do whatever we have to to isolate the x term. Of course, we have to do it in order of operations but backwards. Begin by adding 2 to both sides to get
[tex](x+4)^2=9[/tex] Now we have to undo the squaring on the left by taking the square root of both sides:
[tex]\sqrt{(x+4)^2}=[/tex] ±[tex]\sqrt{9}[/tex] Taking the square root of a square cancels out both, and of course the square root of 9 is + or - 3:
x + 4 = ±3
The 2 solutions are
x = -4 + 3 which is -1, and x = -4 - 3 which is -7. Choice (3) is the one you want.
Question 15 of 25
If the factors of a polynomial are x + 8 and x+4, what values of x make that
polynomial O?
A. -8 and -4
B. 8 and -4
C. -8 and 4
D. 8 and 4
Answer:
Step-by-step explanation:
Polynomials are factored after they are set equal to 0. This i because the factors of the polynomial are also known as the x-intercepts, and x-intercepts exist where y = 0. Therefore, if the factors of the polynomial are
(x + 8)(x + 4) = 0, then by the Zero Product Property,
x + 8 = 0 so x = -8 or
x + 4 = 0 so x = -4. Choice A.
. Parallelogram ABCD,
Find the sum of the following series. Round to the nearest hundredth if necessary,
3 + 6 + 12+ ... +49152
Sum of a finite geometric series:
Q] - a
Sn =
1-T
Answer:
[tex]sum = \frac{a( {r}^{n - 1} )}{r - 1} \\ : but \: l = a( {r}^{n - 1} ) \\ 49152 = 3( {2}^{n - 1} ) \\ 16384 = {2}^{n - 1} \\ {2}^{n} = 32768 \\ {2}^{n} = {2}^{15} \\ n = 15 \\ \therefore \: sum = \frac{3(2 {}^{15 - 1}) }{15 - 1} \\ = \frac{49152}{14} \\ = 3510.9[/tex]
Find a equation of a line that is perpendicular to y=-4x+3 and passes through the point (4,-1)
Answer:
y = (-1/4)x
Step-by-step explanation:
the factor of x is in a line equation the slope of the line.
it residents actually the ratio of y/x.
in our original equation that means that for every change of x by 1 unit y changes by 4 units (actually -4 units) => -4/1 ratio.
a perpendicular line just reverses that ratio.
now, x had to change by 4 units for y to change by 1 unit (actually -1 unit)
=> -1/4
so, our wanted line equation must be in the form of
y = (-1/4)x + c
c is the offset of the line from the (0,0) point in y direction.
so, what is c ?
now we use the information of the point that is stored to be in that line : (4,-1)
=> -1 = (-1/4)×4 + c
=> -1 = -1 + c
=> c = 0
therefore, the desired line is
y = (-1/4)x
Decrease 80ml by 40%
Answer:
48ml
because its the correct answer!
Answer:
48 ml
Step-by-step explanation. 80, percentage decreased by 40% (percent) of its value = 48
A student says that the value of the expression 5 + 25 /5 is 6.What error did the student make?
Answer:
The student added 5+25 before, thus not following the order of PEMDAS. The student should've divided 5/ 25 before adding.
Step-by-step explanation:
What would it be I got it wrong ?
lus
A
B
С
D
If AC = 18 and CD = 5, AD = [?]
Enter
Answer:
hey,
18+5=23
so AD=23
this is the correct answer :)
please mark as brainliest
13 In a school, students must study at least one language from German, French and Spanish.
DO NOT WRITE IN THIS AREA
There are 30 students in a class of this school.
Of these students
7 study all three of the languages
10 study both German and French
12 study both Spanish and German
9 study both French and Spanish
16 study Spanish
18 study German
Work out the total number of the students in the class who study French.
You may use the Venn diagram to help with your calculations.
Answer:
20 students
Step-by-step explanation:
looking at the venn diagram above you calculate all the numbers in the French circle which total to 20.
Find the value of x and the measure of the exterior angle. (9x+16) (5x-14)
Answer:
[tex]x = 15 \: \: .....(5(15)- 14) = 61[/tex]
[tex](9x + 16 )= (5x - 14) + 90 \\ 9x - 5x = 90 - 14 - 16 \\ 4x = 60 \\ x = \frac{60}{4} \\ x = 15[/tex]
In circle Q with M PQR equals 42 and PQ equals seven units, find the length of arc PR. Round to the nearest hundred
Answer: [tex]5.13\ \text{units}[/tex]
Step-by-step explanation:
Given
In a circle, [tex]\angle PQR=42^{\circ}[/tex]
[tex]PQ=7\ \text{units}[/tex]
Arc length is given by
[tex]\Rightarrow l=\dfrac{\theta}{360^{\circ}}\cdot 2\pi r[/tex]
Insert the values
[tex]\Rightarrow l=\dfrac{42^{\circ}}{360^{\circ}}\cdot 2\times \dfrac{22}{7} \times 7\\\\\Rightarrow l=5.13\ \text{units}[/tex]
The length of the arc PR is [tex]5.13\ \text{units}[/tex]
A right triangle has side lengths 5, 12 and 13 as shown below use these lengths to find cosB tan B and sin B
PLZ SOMEONE HELP BRAINLIEST
Answer:
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
cosB = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{BC}{AB}[/tex] = [tex]\frac{5}{13}[/tex]
tanB = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AC}{BC}[/tex] = [tex]\frac{12}{5}[/tex]
sinB = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AC}{AB}[/tex] = [tex]\frac{12}{13}[/tex]
A pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Jayden measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot. 11 ft 20 ft-8 ft
Answer:
7 feet after applying the pythagorean theorem
Step-by-step explanation:
What is the pair of vertical angles.
Answer:
C.
Step-by-step explanation:
Answer:
=answer is the vertical angles
C
Please help me with the right answer kitties it’s pretty easy but I can’t do it because of my lazy butt
Answer:
It is D and if you don't the y-values increase by 9.
Find the vertex: y=1/2 x^2+2x-3
Please explain how to find the answer too!
Answer:
(-2,-5)
Step-by-step explanation:
Y=x^2/2 +2x-3
Y=1/2 ×(x+2)^2 -5
a=1/2
h=-2
k=-5
(-2,-5)
The requried vertex of the parabola y = (1/2)x² + 2x - 3 is (-2, -5).
What is a parabola?A parabola is a cross-section cut out of the cone and represented by an equation y = 4ax².
To find the vertex of the parabola defined by the equation y = (1/2)x² + 2x - 3, we can use the fact that the vertex is located at the point (-b/2a, f(-b/2a)), where a and b are the coefficients of the quadratic term and the linear term, respectively.
In this case, a = 1/2 and b = 2, so we can substitute these values into the formula to get:
x-coordinate of vertex = -b/2a = -2/(2*1/2) = -2
To find the y-coordinate of the vertex, we can substitute this value of x into the equation and simplify:
y-coordinate of vertex = (1/2)(-2)² + 2(-2) - 3
= 1/2(4) - 4 - 3
= -5
Therefore, the vertex of the parabola y = (1/2)x² + 2x - 3 is (-2, -5).
Learn more about parabola here:
brainly.com/question/4074088
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The area of sector A08 is 48x and m<AOB = 270º. Find the radius of circle O.
6 Acirde shown below.bas center C What is the area of the shaded region?
Answer:
Step-by-step explanation:
The first one gives us everything we need except the radius, which is easy enough to solve for if you're careful with your algebra. The area of a sector of a circle is given as:
[tex]A_s=\frac{\theta}{360}*\pi r^2[/tex] where θ is the measure of the central angle of the circle. For us, that fills in as follows:
[tex]48\pi=\frac{270}{360}*\pi r^2[/tex] and manipulate it as follows:
[tex]r^2=\frac{(360)(48\pi)}{270\pi}[/tex] the π's cancel out, leaving us with simple multiplication and division to get
r = 8. Now for the next one, which is a bit more involved.
In order to find the area of the shaded part, we need to find the area of the right triangle there and subtract it from the area of the sector of the circle. First the area of the sector, which is given as:
[tex]A_s=\frac{\theta}{360}*\pi r^2[/tex] where θ again is the measure of the central angle of the circle, 90°:
[tex]A_s=\frac{90}{360}(3.1415)(10)^2[/tex] which simplifies a bit to
[tex]A_s=\frac{1}{4}(3.1415)(100)[/tex], giving us an area of
[tex]A_s=78.5375m^2[/tex]. Now onto the area of the triangle.
Since this triangle is inscribed in the circle and the circle's radius is 10, tha also gives us both the height and the base measures of the triangle. The area then is:
[tex]A_t=\frac{1}{2}(10)(10)[/tex] which is
[tex]A_t=50m^2[/tex]
Subtract that from the area of the sector to get that the shaded area is 28.5 square meters, choice A.
find the length of each side of an equilateral triangle whose perimeter is 36m
Answer:
12m
Step-by-step explanation:
36÷3=12
Hope this helps! :)
Need done by 08.00 today
An iron ball has a density of 6 g/cm3.
The volume of the ball is 13 cm3.
What is the mass of the ball?
Step-by-step explanation:
Mass = Density × Volume or m=pV
Density = 6
Volume = 13
6 × 13 = 78
The mass of the iron ball is 78.
===================================================
Work Shown:
d = density = 6 grams per cm^3
m = mass = unknown
v = volume = 13 cm^3
--------
d = m/v
dv = m
m = dv
m = 6*13
m = 78 grams
Please help this is the only one im stuck on...10 points
evaluate the expression for n = 2.
3 − 6n =
Answer:
9 is the answer
Step-by-step explanation:
3- 6(2) = 9
Answer:
9
Step-by-step explanation:
(6)×2-3. = 12-3=9. hope helpful answerdylan invested $600 in a savings account at a 1.6% annual interest rate. He made no deposits or withdrawls on the account for 2 years. the intrest was compounded annually find to the nearest cent the balance in the account after 2 years
Answer:
below
Step-by-step explanation:
that is the procedure above
The balance in the account after 2 years is $619.35.
What is the compund interset?The compound interest for an amount depends on both Principal and interest gained over periods.
Dlan invested $600 in a savings account at a 1.6% annual interest rate.
He made no deposits or withdrawls on the account for 2 years.
The balance in the account after 2 years is given by;
[tex]\rm Amount =Principal(1+rate)^{time}[/tex]
Substitute all the values in the formula
[tex]\rm Amount =Principal(1+rate)^{time}\\\\\rm Amount =600(1+0.016)^2\\\\ Amount =600(1.016)^2\\\\ Amount = 600 \times 1.03\\\\Amount =619.35[/tex]
Hence, the balance in the account after 2 years is $619.35.
Learn more about compound interest here;
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pls pls pls help don't ignore imma fail
Answer:
6 as b
7 as a
Step-by-step explanation:
if indeed the scale is 3 to 1, this is correct! the answer is B
ANswer it please just do it
78%
14/18 is 77.78%
Rounded to the nearest percent is 78%
Hope this helps!
Answer:
14 out of 18 which is 14/18 = .7777 = 77.7%
Step-by-step explanation:
Without computing, select all of the expressions that have the same value as
74 · (29 + 56).
A. 74 · 29 + 56
B.74 + (29 + 56)
C. 74 + (56 · 29)
D. (74 · 29) + (74 • 56)
E. (56 +29) · 74
Answer:
The answer I'd the option D
Find the missing side
Answer:
x = 20.31 inches
Step-by-step explanation:
[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]
[tex]sin(62^{\circ})=\frac{x}{23}[/tex]
[tex]23sin(62^{\circ})=x[/tex]
[tex]x=20.3079464[/tex]
[tex]x\approx20.31[/tex]
Therefore, the missing side is 20.31 inches long.
Lacy got a $100 gift card to an online clothing store. She
uses the gift card to buy a pair of pants for $19.99. She
also wants to use the gift card to buy some shirts. Each
shirt costs $11.69.
Which of these inequalities describes this situation, where
n is the number of shirts Lacy wants to buy?
Answer:
80.01>11.69n
Explanation:
100-19.99=80.01
she has 80.01 dollars to spend on shirts. The shirts are 11.69 with n being the number of shirts. we have to take off 19.99 because she bought the pants so the total has to be less then 80.
The base and height in a figure are always what?
Answer:
Perpendicular
Step-by-step explanation:
By definition, the base and height of a figure must always intersect at a [tex]90^{\circ}[/tex] angle. Therefore, they are always perpendicular.
6. Fill in the blanks:
integer
(i) O is greater than every
integer
(ii) Every negative integer is less than every
(iii) For any two positive integers a and b, if a <b, then -a. -b
(iv) Modulus of a negative integer is always
(u) The largest negative integer is
(vi) The smallest positive integer is
Answer:
O is greater than every
integer
What tool would use to measure around a cup
Answer:
one tool you can use would be tape measure
PLZ HELP ITS URGENT
it is blurry so take it again