We can solve the equation that has square root by completing the square (The purpose is to get rid of the square root.)
From [tex]\sqrt{x+12}=x+5[/tex]
Completing the square for both sides.
[tex](\sqrt{x+12})^2=(x+5)^2\\x+12=x^2+10x+25\\x^2+10x+25-x-12=0\\x^2+9x+13=0[/tex]
Because this polynomial cannot be factored. We have to use the Quadratic Formula to solve the equation.
[tex]x=-\frac{b±\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-9±\sqrt{9^2-4(1)(13)} }{2}\\x=\frac{-9±\sqrt{81-52} }{2}\\x=\frac{-9±\sqrt{29} }{2}[/tex]
But from the graph, the radical function graph doesn't intercept y = x+5 at (-9+√29)/2
Therefore, the answer is (-9-√29)/2
Also Ignore A' in the Quadratic Formula. It appears there whenever I want to put "plus-minus" symbol in the formula.
My last oneeeeee help please
Answer:
C HOPE THIS HELPS MARK BRain leist
Step-by-step explanation:
Help me please, which postulate proves these two triangles are congruent?
Answer:
C
Step-by-step explanation:
These triangles do look congruent. However, in fact, we don’t have enough information. We need 3 parts of a trainable to be shown congruent for it to be congruent, including HL congruence (because this requires a right angle). In the diagram, only 2 sides are shown to be congruent. This isn’t enough information to prove that the triangles are congruent. Therefore, it is C.
I hope this helps! :)
Of the factors of 12 shown, which also have a sum of 7?
A: 12,1
B: 2,6
C: 3,4
What is the value of y if f||n
?????
Answer:
y = 148°
Step-by-step explanation:
4x - 18 = 2x + 12 (alternate exterior angles are congruent)
Collect like terms
4x - 18 = 2x + 12
4x - 2x = 18 + 12
2x = 20
Divide both sides by 2
x = 10
y = 180 - (2x + 12) (linear pair theorem)
Plug in the value of x
y = 180 - (2(10) + 12)
y = 180 - (20 + 12)
y = 148°
2 tenths= ? Hundredths
Answer:
20 hundredths
2 tenths equal 20 hundredths.
Hope this helps! :D
Answer:
20 hundredths
Step-by-step explanation:
I hope this helps you!
Do you give Brainlliest?
Please be honest :( please help I’ll mark u!
Answer:
h is equal to or greater than 1. it's the first one
Assuming there are no reflections or dilations,
explain how you would write the oquation of the
function whose graph is sketched below.
Answer:
Step-by-step explanation:
We can see that this graph looks something like the graph of:
f(x) = 1/x^2
But the asymptotes of 1/x^2 are at x = 0, and in this case we can see that the asymptotes are near x = -3.
This may mean that the graph has been horizontally shifted 3 units to the left.
A general way to write an horizontal shift of N units is:
g(x) = f(x + N)
if N is positive, then the shift is to the left, if N is negative, then the shift is to the right.
In this case, we will have;
g(x) = f(x + 3)
And f(x) = 1/x^2
then:
g(x) = 1/(x + 3)^2
Graphing that, we get the graph shown below, that is almost the same as the graph in the image.
for a new neighbor, 100 acres of land will be split into 10 lots. How many acres will each lot have?
Answer:
Your answer is 10 cause 100 divided by 10 is 10
Step-by-step explanation:
The sum of two positive numbers is 4 and the sum of their cubes is 28. What is the product of the two numbers?
Answer:
3
Step-by-step explanation:
system of equations:
[tex]a+b=4[/tex]
[tex]a^3+b^3=28[/tex]
[tex]a=4-b[/tex]
plug in for a in other equation and solve
[tex](4-b)^3+b^3=28[/tex]
[tex]64-48b+12b^2-b^3+b^3=28[/tex]
[tex]64-48b+12b^2=28[/tex]
[tex]0=36-48b+12b^2[/tex]
[tex]0=3-4b+b^2[/tex]
[tex]0=(b-3)(b-1)[/tex]
[tex]b = 3[/tex]
or
[tex]b=1[/tex]
plug into other equation to get a
[tex]a=4-b=4-3=1[/tex]
or
[tex]a=4-b=4-1=3[/tex]
multiply together
[tex]1*3=3[/tex]
Prove that x+1 is a factor of x^n+1 where n is an odd positive integer.
Answer:
because x^n+1 =
the number which is n and n is an odd number and my odd number is 3 so
x^3+1= 4
= x^4
how to graph y=-8/3x+9
Step-by-step explanation:
this is the equation for a line in slope-intercept form
the y-intercept is 9, so find (0,9) on the graph
then, the slope is -8/3 (think "rise" over "run"), so from the point (0,9) you have to count down 8 (for -8) and then to the right 3 (for +3). from this point, you can now repeat the pattern of counting down 8 and right 3 and making points to connect.
when at least two points are connected, you have a line and that is your graph
To approach a runway, a plane must begin a 7° descent starting from a height of 5 miles above the ground. To the nearest mile, how many miles from the runway is the airplane at the start of this approach?
41 mi
54 mi
82 mi
46 mi
Answer:
41
Step-by-step explanation:
A map uses a scale of 1 centimeter = 200 meters.
If it is 5 kilometers between two locations, how many centimeters on the map is it?
Answer:
40 centimeters
Step-by-step explanation:
Simplest form of -1 5/8 divided by 5 8/9
Answer:
the answer is -117/424, hope this helps :)
PLS HELP BRAINLIST and 100 POINTS
The diagram below shows a boat and a scuba diver that is approximately 40 feet below the boat. The top of the flagpole on the boat is 15 feet above the surface of the water. The elevation of the surface of the water is 0 feet. Which number represents the elevation of the scuba diver?
A. –55 ft
B. –40 ft
C. 40 ft
D. 55 ft
Answer:
B, He is -40 due to it asking which number is his point. If he was positive 40 then he would be on an island or flying in the sky. Your answer is -40
What is the estimated product of 1.39 × 6.76?
1.39 rounds to , and 6.76 rounds to Therefore, the estimated product is . i´ll answer this on my own but feel free to answer to get points!!
Answer:
7
Step-by-step explanation:
1.39 rounds to 1
6.76 rounds to 7
1 x 7=7
Answer:
1,7,7
Step-by-step explanation:
hi I really need help with this question
Plz show ur work
Answer:
x>-24[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
-[tex]\frac{2}{5}[/tex]x<9/10+9
-[tex]\frac{2}{5}[/tex]x<99/10
x>99/10*-5/2
1.7.PS-6
E Question Help
You buy 3.17 pounds of oranges, 1.35 pounds of peaches, and 2.68 pounds of grapes.
What is your total bill?
Grocery Store Prices
Item
Cost
Oranges $1.29 per
pound
Peaches
$1.19 per
pound
Grapes
$1.09 per
Pound
Your total bill is $.
(Round to the nearest cent as needed.)
Enter your answer in the answer box and then click Check Answer
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Answer:africa
Step-by-step explanation:
science
Please give me the correct answer
Answer:
the correct answer is 5 places
Find the quotient in their exponential form.
a) (8/27)power 5 ÷ (2/3)power 7
The first person who do this numerical i will give him 25 stars and rank the brainliest plz guys tell fast its urgent for me
Answer:
0.609663161
Step-by-step explanation:
(8/27)power5 = 5.57533755
(2/3)power7= 9.14494717
then, u just devide... from what i know
Answer:
It is 0.609663161
Step-by-step explanation:
Hope this helped have an amazing day!
7. The path of a baseball after it has been hit is modeled by the function h = -0.0032d? + d + 3, where his
the height in feet of the baseball and d is the distance in feet the baseball is from home plate. Find the average
rate of change for the baseball between d = 100 and d = 200.
Answer:
[tex]A = 0.04[/tex]
Step-by-step explanation:
Given
[tex]h(d) = -0.0032d^2 + d + 3[/tex]
Required
Determine the average rate of change for d = 100 to 200
Average rate of change (A) is calculated as follows:
[tex]A = \frac{h(b) - h(a)}{b - a}[/tex]
In this case:
[tex]b = 200[/tex] and [tex]a = 100[/tex]
So: [tex]A = \frac{h(b) - h(a)}{b - a}[/tex] becomes
[tex]A = \frac{h(200) - h(100}{200 - 100}[/tex]
[tex]A = \frac{h(200) - h(100)}{100}[/tex]
Solving h(200)
[tex]h(d) = -0.0032d^2 + d + 3[/tex]
[tex]h(200) = -0.0032*200^2 + 200 + 3[/tex]
[tex]h(200) = 75[/tex]
Solving h(100)
[tex]h(d) = -0.0032d^2 + d + 3[/tex]
[tex]h(100) = -0.0032*100^2 + 100 + 3[/tex]
[tex]h(100) = 71[/tex]
So: [tex]A = \frac{h(200) - h(100)}{100}[/tex] becomes
[tex]A = \frac{75 - 71}{100}[/tex]
[tex]A = \frac{4}{100}[/tex]
[tex]A = 0.04[/tex]
Hence, the average rate of change is 0.04
Which of the following statement is TRUE?
A. THE ONLY FACTORS OF 9 ARE 1 AND 9
B. THE ONLY FACTORS OF 10 ARE 1,2 AND 10
C.THE ONLY FACTORS OF 11 ARE 1 AND 11
D.THE ONLY FACTORS OF 12 ARE 1,2,6, AND 12.
PLEASE HELP!!!!!!!
Answer:
C.
Step-by-step explanation:
11 is a prime number, meaning that its only factors are 1 and itself.
Answer:
c
Step-by-step explanation:
9 10 11 12
1,9 1,10 1,11 1,12
3,3 2,5 2,6
3,4
I need help with this practice sheet
I'm confused with this
End behavior is when the graph goes left or right, does it go up or down.
In this graph, when it goes left it goes up, and when the graph goes right it goes down
as x => - infinity, f(x) => Infinity
as x => Infinity, f(x) => - infinity
The leading coefficient is negative.
The degree is even.
What is the value of p if the expression 4(n+7) is equivalent to (n+p)4?
Answer:
p = 7
Step-by-step explanation:
set the expressions = to each other
4(n+7) = 4(n+p)
distribute the 4 on both sides(multiplying the numbers on the inside)
4n+28 = 4n+4p
subtract the 4n from the right and left
28 = 4p
divide by 4
p = 7
can someone check if I'm right?
Answer:
your right!!!
Step-by-step explanation:
What is the volume of the following cylinder?
A.) 1.695.6 cm 3
B.) 565.2 cm 3
C.) 06.782.4 cm
D.) 282.6 cm 3
Answer:
A
Step-by-step explanation:
thanks
Match these?
LA
If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the triangles are congruent.
ASA
If the hypotenuse and a leg of one right triangle are equal to the hypotenuse and leg of another right triangle, then the triangles are congruent.
HL
If three sides of one triangle are equal to three sides of anther triangle, then the triangles are congruent.
SAS
If a leg and an acute angle of one right triangle are equal to the corresponding parts of another right triangle, then the triangles are congruent.
SSS
If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.
Answer:
see below
Step-by-step explanation:
If two angles and the included side of one triangle are equal to two angles and the included side of the other triangle, then the triangles are congruent.
This is angle side angle ASA
If the hypotenuse and a leg of one right triangle are equal to the hypotenuse and leg of another right triangle, then the triangles are congruent.
This is hypotenuse leg HL
If three sides of one triangle are equal to three sides of anther triangle, then the triangles are congruent.
This is side side side SSS
If a leg and an acute angle of one right triangle are equal to the corresponding parts of another right triangle, then the triangles are congruent.
This is leg angle LA
If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the triangles are congruent.
This is side angle side SAS
Pls work out and give detail. Use the slope formula to determine the slope of each line.
4. AB
ТУ
41
2
2ТА
B
Х
— 4 — 2
O|
2
N
т
-4 +
Answer:
[tex]m=0[/tex]
Step-by-step explanation:
Given
See attachment
Required
Determine the slope of the line
From the attachment, we have the following points
[tex](x_1,y_1) = (-4,1)[/tex]
and
[tex](x_2,y_2) = (3,1)[/tex]
The slope m is then calculated using:
[tex]m = \frac{y_2- y_1}{x_2 - x_1}[/tex]
Substitute values for the x's and y's
[tex]m = \frac{1-1}{3 - (-4)}[/tex]
[tex]m = \frac{1-1}{3 +4}[/tex]
[tex]m = \frac{0}{7}[/tex]
[tex]m=0[/tex]
Hence, the slope is 0
Simplify the expression.
3(2+q)+15 simplified is
Answer:
3q+21
Step-by-step explanation:
Answer:
brainliest plsssss
Step-by-step explanation:
Let's simplify step-by-step.
3(2+q)+15
Distribute:
=(3)(2)+(3)(q)+15
=6+3q+15
Combine Like Terms:
=6+3q+15
=(3q)+(6+15)
=3q+21
Please helppppppopppp
Answer:
a..
Step-by-step explanation: