Step-by-step explanation:
Radical already isolated
√163 = x
Raise both sides to the second power
(√163)2 = (x)2
After squaring
163 = x2 Rearranged equation
x2 -163 = 0
This equation has two real roots:
x1 = ( 0 + sqrt(652) ) / 2 = 12.7671
x2 = ( 0 - sqrt(652) ) / 2 = -12.7671 Original equation
√163 = x
Plug in 12.7671 for x
√163 = (12.7671)
Simplify
√163 = 12.767
Solution checks !!
Solution is:
x = 12.7671 Original equation
√163 = x
Plug in -12.7671 for x
√163 = (-12.7671)
Simplify
√163 = -12.767
Solution does not check
12.767 ≠ -12.767
1. Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
(F + G) (2) =
a. 4
b. 5
c. 9
2. Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
(F - G) (6) =
a. -3
b. 3
c. -1
3. Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)}
(F G) (2) =
a. 20
b. 10
c. 40
Answer:
b.5
a-3
a.20
its korrect now
help bro. ;;;;;;;;;;;;;;;;;;;;;;;
Answer:
Jose answered incorrectly. In his second step, where he expanded the term 5(c - 2), he multiplied the c by five, but failed to multiply the two, giving him, "5c - 2 - 2c" instead of the correct expression "5c - 10 - 2c".
Answer:
top one is right 100% right!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Step-by-step explanation:
**NEED THIS WITHIN 5 MINS** Stan’s employer pays for 45% of his annual health insurance premium of $4,567.00. Stan pays the remaining balance by having it deducted in equal amounts from his 26 paychecks throughout the calendar year. How much will Stan have deducted from each paycheck?
Answer:
$88.3
Step-by-step explanation:
Here 42% of annual health premium($5450)=*5450
=$2289
This amount is being paid by the company means it is deducted amount in one year.
One year has 26 paychecks so above amount divided by 26 is rebate amount in each paycheck.
Deducted amount=
=$88.30
Rewrite the equation in slope-intercept form:
10x + 5y = - 15
The equation in slope-intercept form is y = - 2x - 3.
What is the equation of line?The general equation of a straight line is
y = mx + c,
where m is the gradient or slope, and
y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
Now the given equation is,
10x + 5y = - 15
Dividing the equation by 5 we get,
2x + y = - 3
Subtracting 2x both the side we get,
2x + y - 2x = - 3 - 2x
⇒ y = - 3 - 2x
or, y = - 2x - 3
This is the required slope-intercept form.
where -2 is the slope and -3 is the intercept.
Thus, the equation in slope-intercept form is y = - 2x - 3.
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Simplify the expression by combining like terms.
15 + 12z– 5z + 4y- 7
Answer: = 4y + 7z + 8
Answer:
7z+4y+8
Step-by-step explanation:
Collect the like terms so 12z-5z would be 7z, then since there is only 1 y term it would be 4y, and -7 + 15= 8
I have 17 warnings how am I not banned from the app yet?
You should ask a moderator
Help pls! 10 points!
8) Find x ifm/HGS = 3x + 5,
m/SGF=21x +3, and m/HGF = 176º.
The required value of x is 7.
In the given statement is:
m/HGS = 3x + 5,
m/SGF=21x +3, and m/HGF = 176º.
and, to find the value of 'x'
The two angles, ∠HGS & ∠SGF, when combined, will result in ∠HGF
m ∠HGS = 3x + 5
m ∠SGF = 21x + 3
m ∠HGF = 176°
Set the equation:
m ∠SGF + m ∠HGS = m ∠HGF
Plug in the corresponding terms to the corresponding variables:
21x + 3 + 3x + 5 = 176°
24x + 8 = 176°
24x = 176° - 8
24x = 168°
x = 168°/24
x = 7
Hence, The required value of x is 7.
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pls pls help, brainiest guaranteed
Yolanda's final exam has true/false questions, worth 4 points each, and multiple choice questions, worth 5 points each. Let x be the number of true/false questions she gets correct, and let y be the number of multiple choice questions she gets correct.
She needs more than 82 points on the exam to get an A in the class. Using the values and variables given, write an inequality describing this.
Answer:
i think its
4× + 5y > = 85
Step-by-step explanation:
i hope im right or even close i tryed i should be right tho HAVE A NICE DAY!!
Find the measure of the missing angel
Answer:
58 degrees
Step-by-step explanation:
A pair of dice is tossed. what is the probability of getting sum of 5 or 9?
A)7/9
B)5/9
C)1/9
D)2/9
Answer:
[tex]Probability = \frac{2}{9}[/tex]
Step-by-step explanation:
Given:
A pair of dice
Required
Determine the probability of a sum of 5 or 9
Let the sample space of the first die be S1 and the second, S2
[tex]S_1 = {1,2,3,4,5,6}[/tex] --- 6 outcomes
[tex]S_2 = {1,2,3,4,5,6}[/tex] --- 6 outcomes
Number of sample space, n is:
[tex]n = 6 * 6[/tex]
[tex]n = 36[/tex]
Next, we list out all possibilities of obtaining a sum of 5
[tex]Sum\ of\ 5 = \{(1,4),(2,3),(3,2),(4,1)\}[/tex]
n(Sum5 )= 4
Next, we list out all possibilities of obtaining a sum of 9
[tex]Sum\ of\ 9 = \{(3,6),(4,5),(5,4),(6,3)\}[/tex]
n(Sum9)= 4
The required probability is then calculated as:
[tex]Probability = \frac{n(Sum9)}{Total} + \frac{n(Sum5)}{Total}[/tex]
[tex]Probability = \frac{4}{36} + \frac{4}{36}[/tex]
Take LCM
[tex]Probability = \frac{4+4}{36}[/tex]
[tex]Probability = \frac{8}{36}[/tex]
Simplify
[tex]Probability = \frac{2}{9}[/tex]
please help!! picture linked below.
Answer:
50y + 25x = 800
&
50x + 25y = 800
Put parenthesis around 5 + 4 × 2 + 6 - 2 × 2 + 1 to make the answer 19
Answer:4x2
Step-by-step explanation:
3. State what additional information is required in order to know that the triangles are congruent by the SSS Triangle Congruence Postulate
The additional information required in order to know that the triangles are congruent by the SSS Triangle Congruence Postulate is that Line ML is equivalent to line YL. Option A
What is the SSS congruence postulate?The SSS congruence theorem states that If all the sides of one triangle are equivalent to the corresponding three sides of the second triangle, then, the two triangles are said to be congruent.
From the diagram given, we have;
Triangles NLMTriangle LNYFor the three sides of triangles NLM to be equivalent to that of LNY;
Line MN must be equal to line YL
Thus, the additional information required in order to know that the triangles are congruent by the SSS Triangle Congruence Postulate is that Line ML is equivalent to line YL. Option A
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For what value of k, the zeroes of x2 + kx + 12 will differ by 1?
Let a and b be the zeroes of x² + kx + 12 such that |a - b| = 1.
By the factor theorem, we can write the quadratic in terms of its zeroes as
x² + kx + 12 = (x - a) (x - b)
Expand the right side and equate the coefficients:
x² + kx + 12 = x² - (a + b) x + ab
Then
a + b = -k
ab = 12
The condition that |a - b| = 1 has two cases, so without loss of generality assume a > b, so that |a - b| = a - b.
Then if a - b = 1, we get b = a - 1. Substitute this into the equations above and solve for k :
a + (a - 1) = -k → 2a = 1 - k → a = (1 - k)/2
a (a - 1) = 12 → (1 - k)/2 • ((1 - k)/2 - 1) = 12
→ (1 - k)²/4 - (1 - k)/2 = 12
→ (1 - k)² - 2 (1 - k) = 48
→ (1 - 2k + k²) - 2 (1 - k) = 48
→ k² - 1 = 48
→ k² = 49
→ k = ± √(49) = ±7
ASAP PLS HELP ME with this
Answer:
160
Step-by-step explanation:
there are 3 rectangles in the irregular figure cut across them with your pen by drawing lines and indicate using dimensions.
1. 4 by 6 =24
2. 6 by 11 =66
3. 7 by 10= 70
add them altogether
=160
Solve the system of equations using the substitution method.
y=2+56x
4x−3y=3
Enter your answer in the boxes.
(___,___)
Answer:
(6,7)
Step-by-step explanation:
took the test, was correct.
x= 6, y=7
solve for the first variable in one of the equations, then substitute the result into the other equations.
The value of x is 0.05 and y is 4.8 for given system of equations.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given system of equations are
y=2+56x...(1)
4x−3y=3...(2)
Substitute (1) in equation (2)
4x-3(2+56x)=3
4x-6+168x=3
172x-6=3
Add 6 on both sides
172x=9
Divide both sides by 172
x=9/172
x=0.05
Now plug in x value in equation 1
y=2+56(0.05)
=2+2.8
y=4.8
Hence, the value of x is 0.05 and y is 4.8 for given system of equations.
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Mandy created a treasure hunt in the sand at the beach. To keep track of where she buried four items, she graphed their locations in the coordinate plane.
Write the correct ordered pair to show the location of each item.
1. What is the location of item 1? Explain how you found its coordinates. Be sure to tell how you identified the sign of each coordinate.
Write your answer in the space below.
2. What is the location of item 2?
Write your answer in the space below.
3. What is the location of item 3?
Write your answer in the space below.
4. What is the location of item 4?
Write your answer in the space below
Answer:
attach photo of coordinate plane
Answer:
1. (-3,3 ½)
2. (2.9,1) or (2 9/10,1)
3. (-1,-2.5) or (-1,2 1/2)
4. (1.9,-1) or 1 9/10,-1)
Step-by-step explanation:
Since some points were not directly on a line, they must have not been a whole number, so I estimated and used logical reasoning to get the coordinates of the items. Hope this helps.
i need help please: if
Answer:
If what??? can you please finish the question in the reply?
Find the angle of elevation
from point C to point A.
A
?
59°
402 m
C
B
Angle of elevation = [?]°
another trigonometry question
i just want this test to be over >-
Answer:
e) cos(90-x)
Step-by-step explanation:
sinx=cos(90-x)
what is the last number to put in the following question i am confused ..
Answer:
2^6
Step-by-step explanation:
2^6=64
2x2x2x2x2x2=64
it's 2 to the power of 6
Jamal makes $186 a week at his job. He plans to save 5% of his paycheck for a P.Y.F account. How much money will Jamal put in his P.Y.F account this week.
Answer:
$9.30
Step-by-step explanation:
Answer:
Jamal will put $9.30 in his P.Y.F. account this week.
Step-by-step explanation:
Jamal makes $186 a week. He plans to save 5% of that in his P.Y.F. account.
%5 of $186 is $9.30 ($186/20).
This week, he will put $9.30 in his P.Y.F. account.
Hope this helps!
What is [tex]\frac{2}{5}[/tex] as a decimal
Answer:
0.4
Step-by-step explanation:
2 x 20=40
5 x 20=100
40/100= 0.40 simplified as 0.4
Answer:
2/5 as a decimal is 0.4
Step-by-step explanation:
2 divided by 5 would equal 0.4
Can someone help me on this? which one is it???
Which option is the simplified version
Answer:
its the 2 option......................
Shelly is making an apple pie.she needs 3/4 cup of sugar for her pie.How many cups of sugar will she need if she makes 7 pies?
24% of what number is 18
Answer:
75 is the answer to your question
Answer:
i believe its 75 my guy
Solve equation 6x+5=35
Solve Each Equation PLS SHOW WORK
|5k-8| / 10 = 2
|5k-8| / 10 is a fraction btw
Answer:
The maximum value of k = 5 ³/₅ and the minimum value of k = -2 ²/₅
Step-by-step explanation:
Given;
[tex]\frac{|5k-8|}{10} = 2\\\\|5k-8| = 20[/tex]
Simplifying further;
5k - 8 = 20 ------- (1)
5k - 8 = -20------(2)
Solving equation (1)
5k - 8 = 20
5k = 28
k = 28 /5 = 5 ³/₅
Solving equation (2)
5k - 8 = -20
5k = -20 + 8
5k = -12
k = -12 / 5 = -2 ²/₅
Thus, the maximum value of k = 5 ³/₅ and the minimum value of k = -2 ²/₅