Answer:
To multiply square roots, we multiply the numbers inside the radical. Any numbers outside the radical are also multiplied.
Step-by-step explanation:
Find the perimeter of this figure. Enter your answer in the box.
(-7 , 3) (8 , 3) (-7 , -1) (2 , -1) (2 , -8) (8 , -8)
Answer:
56 total units
Step-by-step explanation:
Here is what the plane would look like if the figure and points were drawn.
Answer:
52 unitsStep-by-step explanation:
Plot the points and connect.
Note. If you connect the points in the given order you will end up with a weird figure hence we connect as pictured.
Horizontal sides sum to:
2*(8 - (-7)) = 2*15 = 30Vertical sides sum to:
2*(8 - (-3)) = 2*11 = 22The perimeter is:
30 + 22 = 52What is the equation for the line in slope-intercept form?
Enter your answer in the box. I'll give you 100 points
Answer:
y = -4x + 5.
Explanation:
Count rise/run to find the slope, find the y-intercept.
Answer:
y = -4x + 3
Step-by-step explanation:
First, find the slope using two points [(-2, 13), (0, 5)] and the formula [ y2-y1/x2-x1 ].
5-13/0-(-2)
-8/2
-4
Second, find the y-intercept which we know is (0, 5) since we used it in the previous part.
Third, input everything we found.
y = -4x + 5
Best of Luck!
y=1/2x-4 in Standard Form
[tex]y =\dfrac 12 \cdot x -4\\\\\implies y = \dfrac{x-8}2\\\\\implies 2y = x-8\\\\\implies x -2y=8[/tex]
If you get it right ill give brainliest hurry pls
|9+40i| = |√9^2 + -40^2| = √1681 = 41
Answer: 41
Answer:
41
Step-by-step explanation:
We know that complex numbers are a combination of real and imaginary numbers
Real part is x and imaginary part y is multiplied by i, square root of -1
Modulus of x+iy =
Here instead of x and y are given 9 and 40
i.e. 9+40i
Hence to find modulus we square the coefficients add them and then find square root
|9+49i| =
By long division method we find that
|9+40i| =41
Will give brainliest!
ABC and DEF are similar triangles. If the side lengths of ABC are 6, 8, and 12, and the
longest side of DEF is 18, then what are its other side lengths?
9 and 14
9 and 12
14 and 16
24 and 36
Applying the properties of similar triangles, the other side lengths of ΔDEF are: B. 9 and 12
Properties of Similar Triangles:
The ratio of the corresponding sides two triangles that are similar to each other are the same/equal.Given that ΔABC and ΔDEF are similar triangles, therefore:
Let, a = 6, b = 8, and c = 12 be the sides of ΔABC.Let, x, y, and z be the sides of ΔDEF.Let z = 18Thus:
a/x = b/y = c/z
Substitute6/x = 8/y = 12/18
Find x using 6/x = 12/18:
6/x = 12/18
Cross multiplyx = [tex]\frac{18 \times 6}{12}[/tex]
x = 9
Find x using 8/y = 12/18:
8/y = 12/18
Cross multiplyx = [tex]\frac{18 \times 8}{12}[/tex]
x = 12
Therefore, applying the properties of similar triangles, the other side lengths of ΔDEF are: B. 9 and 12
Learn more about similar triangles on:
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expand the logarithm as much as possible using properties. please help!
log square root on 1,000,000x
Step-by-step explanation:
log (√1000000x)
Rewrite √1000000x as (1000000x)1/2.
expand long ((1000000x)1/2) by moving 1/2
oby moving logarithm.
1/2 longth (1000000x)
Rewrite
log
(1000000x) as log(1000000)+log(x).
1/2(log(1000000)+log(x))
Logarithm base 10 of 1000000 is 6.
1/2(6+log(x))
Apply the distributive property.
1/2.6+1/2 log(x)
Cancel the common factor of 2.
3+1/2 long(x)
Combine 1/2 and log(x)
3+ long(x)/2
Step-by-step explanation:
See the steps below:
[tex]log\sqrt{1000000x} =\\(1/2)log 1000000x=\\(1/2)log10^6+(1/2)logx=\\(1/2)(6) + (1/2)logx=\\3+(1/2)logx[/tex]
Make x the subject of the formula
1/x - 3/a = 5/b
Which of the following could be the measure of the angle below
Answer:
-180
Step-by-step explanation:
its a straight line
Choose ALL of the transformations that have been applied to the linear function below.
()=−2−4
(It’s multiple choice)
1.Reflected over x-axis
2.Vertical stretched
3.Shifted down 4
4.None of the above
Please I help I'll brainliest!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
c^2 = a^2 + b^2
a = 4
b = ?
c = 8
8^2 = 4^2 + b^2
64 = 16 + b^2
48 = b^2
b = sqrt(48)
b = 4√3
What is cos(3π)? 1 0 –1 –2
whoever answers this is literally my hero
[tex]\cos 3\pi = \cos \pi =-1[/tex]
Answer:
It's C
Step-by-step explanation:
A city has 3 new houses for every 7 old houses. If there are 21 new houses in the city, how many old houses are there
A. 49
B. 47
C. 52
D. 51
Answer:
A. 49
Step-by-step explanation:
ratio of houses is 3 new to 7 old
21 new is 7 times more than 3, so 7 will also be 7 times more
so, 21 to 49
I hope that made sense
the sum of a number and six is four less than three times a number. find the number.
Answer:
5
Step-by-step explanation:
For each ordered pair determine whether it is a solution to x=1
x is an acute angle. Find the value of x in degrees. 3 sin(x) = 2. X =
Answer:
Step-by-step explanation:
square root (3)/2 = 1.732/2 = .86603
Sin(x) = 0.86603
x = sin-1(0.86603)
x = 60
solve pls brainliest
Answer:
Area of the garden is 20 sq. yards
Step-by-step explanation:
A = LW
(The whole figure which is a 6 by 6) - (area of the pool) = The area of garden
(6 × 6) - (4 × 4)
36 - 16 = 20
8.G.4: On the coordinate plane shown below, Figure 1 is transformed into Figure 2, which is transformed into Figure 3. Figure 1 and Figure 3 are similar by a sequence of transformations. Which statement describes the transformation of Figure 2 into Figure 3?
Answer:
A
Step-by-step explanation:
the anwers is A
Answer:
i think it b
Step-by-step explanation:
using the diagram what is the intersection of plane ABCD and GC
A. Plane EFGH
B. Point D
c. Point C
D. Line CB
Answer:
The answer it's c. Point C
*ONLY* 44-47 please help meeee
Answer:
44 - 47 is -3 if thats what youre asking
Step-by-step explanation:
what is the answer because i need help with it
Josh will take 10 test in 5 weeks at school how many test will he have taken after 7 weeks
Answer:14
Step-by-step explanation:
He takes 2 a week so 2 times 7 is 14
Two sailboats started at the same location. Sailboat A traveled 5 miles west, then
turned 29° toward the north and continued for 8 miles. Sailboat B first went south
for 8 miles, then turned 51° toward the east and continued for 5 miles. Which
sailboat was farther from the starting point? Explain your reasoning.
The given question can be solved by applying the cosine rule. Therefore, Sailboat A is 12.61 miles away from the starting point. Thus it is the farthest from the starting point.
a. To determine the distance of sailboat A from the stating point.
Applying the cosine rule to the path traveled by sailboat A, we have:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ
= [tex]5^{2}[/tex] + [tex]8^{2}[/tex] - 2(5*8) Cos (180 - 29)
= 25 + 64 -80 * -0.8746
[tex]c^{2}[/tex] = 89 + 70
[tex]c^{2}[/tex] = 159
c = [tex]\sqrt{159}[/tex]
= 12.6095
Thus, the distance of sailboat A from starting point is 12.61 miles.
b. To determine the distance of sailboat B from the stating point.
Applying the cosine rule to the path traveled by sailboat B, we have:
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab Cos θ
= [tex]8^{2}[/tex] + [tex]5^{2}[/tex] - 2(5*8) Cos (180 - 51)
= 64 + 25 -80 * -0.6293
[tex]c^{2}[/tex] = 89 + 50.344
= 139.344
c = [tex]\sqrt{139.344}[/tex]
= 11.8044
c = 11.80 miles
Thus, the distance of sailboat B from starting point is 11.80 miles.
Comparing the distances of the sailboats from the starting point, sailboat A is farther from the starting point.
A sketch is attached to this answer for better reasoning.
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Please help me, If you do not know do not answer
Rule for function
If Domains of relation have unique Range then it's function otherwise not a function.
Now
FunctionFunctionRelation/Not a functionNot a function/RelationWhat are the slope and the y-intercept of the line shown in the graph?
A. y-intercept = 2 and slope = -3
B. y-intercept = 2 and slope = 3
C. y-intercept = 3 and slope = 2
D. y-intercept = 3 and slope = 2
A fish swims 4 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −34 feet.
What is the position of the scuba diver relative to sea level?
Choose from the drop-down menu to correctly complete the statement.
The scuba diver is
Choose...
feet
Choose...
sea level.
Answer:
The Scuba diver is 21 feet below sea level
Step-by-step explanation:
I took the test and it was this
The position of the scuba diver relative to sea level is 17 feet below surface.
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =
Given that, A fish swims 4 feet directly above a scuba diver. The fish suddenly dives to double its depth under the surface of the ocean. The fish dives to a depth of −34 feet.
Let the position of the fish is at x feet from surface of the ocean
Therefore, the position of scuba diver = x-4
Since, the fish dives double its depth, therefore, new position of diver = 2(x-4)
According to question,
2(x-4) = -34
2x-8 = -34
2x = -26
x = -13
Therefore, the position of the diver = -13-4 = -17
Hence, the position of the scuba diver relative to sea level is 17 feet below surface.
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Find the slope for this table.
Answer:
-1/5
Step-by-step explanation:
if you look at the table, you can see that for every 5 units of x, y goes down 1 unit. slope= rise/run so the slope is -1/5
Answer:
slope=-1/5
Step-by-step explanation:
Use slope formula to get 4-5/0-(-5) which is -1/5, so out slope is -1/5
The points (−4, −3) and (3, y) lie on the same line.
If the slope of the line is 2, what is the value of y?
PLEASE I HELP!!!!!!
The value of y from the given coordinates and slope is; y = 11
We are given the coordinates of the 2 points as;
(-4, -3) and (3, y)
Now, formula for slope of a line with two coordinates is;
m = (y2 - y1)/(x2 - x1)
m = (y - (-3))/(3 - (-4))
m = (y + 3)/7
Slope is m = 2. Thus;
2 = (y + 3)/7
y + 3 = 2 × 7
y + 3 = 14
y = 14 - 3
y = 11
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? Question
Emma also wonders how long it will take her balance of $300 to reach $450, assuming she doesn't make
any payments toward it. Write the equation to represent the situation, and solve it using the inverse
relationship between exponential and logarithmic expressions.
Type the correct response in the box. Use numerals instead of words. Round your answer to the nearest
tenth.
It will take about
years for Emma's balance to reach $450.
Part D
Using an exponential equation, supposing a rate of 5%, it is found that it will take about 2.9 years for Emma's balance to reach $450.
An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate, as a decimal.In this problem:
Her initial balance is of $300, hence [tex]A(0) = 300[/tex].The growth rate is of 15%, hence [tex]r = 0.15[/tex]Then:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 300(1 + 0.15)^t[/tex]
[tex]A(t) = 300(1.15)^t[/tex]
It will reach $450 after t years, for which A(t) = 450, hence:
[tex]A(t) = 300(1.15)^t[/tex]
[tex]450 = 300(1.15)^t[/tex]
[tex]1.15^t = \frac{450}{300}[/tex]
[tex]1.15^t = 1.5[/tex]
[tex]\log{(1.15)^t} = \log{1.5}[/tex]
[tex]t\log{1.15} = \log{1.5}[/tex]
[tex]t = \frac{\log{1.5}}{\log{1.15}}[/tex]
[tex]t = 2.9[/tex]
It will take about 2.9 years for Emma's balance to reach $450.
A similar problem is given at https://brainly.com/question/14773454
Answer:
It will take about 2.9 years for Emma’s balance to reach $450.
What are the roots of the equation 16x² + 16x + 5 = 0 in simplest a + bi form?
Answer:
Below in bold.
Step-by-step explanation:
Using the quadratic formula :
roots = [-16 +/-√(16^2 - 4*16*5)] / (2*16)
= -0.5 +/- √(-64) /32
= -0.5 +/- 8i/32
= -0.5 + 0.25i and -0.5 - 0.25i
[tex]\sf\longmapsto 16x^2+16x+5=0[/tex]
[tex]\sf\longmapsto x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
[tex]\sf\longmapsto x=\dfrac{-16\pm\sqrt{16^2-4(16)(5)}}{2(16)}[/tex]
[tex]\sf\longmapsto x=\dfrac{-16\pm√256-320}{32}[/tex]
[tex]\sf\longmapsto x=\dfrac{-16\pm√-64}{32}[/tex]
[tex]\sf\longmapsto x=\dfrac{-16\pm8i}{32}[/tex]
[tex]\sf\longmapsto x=\dfrac{-2\pm i}{4}[/tex]
[tex]\sf\longmapsto x=\dfrac{-1}{2}\pm\dfrac{1}{4}i [/tex]
find the value of x thank you
3x - 7 + 2x - 3 = 90
<=> 5x -10=90
<=> 5x = 100
<=> x=20
ok done. Thank to me :>
Evaluate the limit by first recognizing the sum as a Riemann sum for a function defined on [0,1]. lim n tends to infinity 1/n(1/n^1/2+2/n^1/2+3/n^1/2+.....n/n^1/2)
Answer:
so67 =9
Step-by-step explanation:
