Answer:
[tex]x=-7, \\x=7[/tex]
Step-by-step explanation:
Given [tex]3x^2-7=140[/tex], our goal is to isolate [tex]x[/tex].
Start by adding 7 to both sides:
[tex]3x^2=147[/tex]
Divide both sides by 3:
[tex]x^2=49[/tex]
Take the square root of both sides:
[tex]x=\pm \sqrt{49}=\pm 7[/tex]
Recall that [tex]7^2=(-7)^2=49[/tex].
Thus, we have:
[tex]x=-7, \\x=7[/tex]
If a tree cast a 3.5 foot shadow at the same time is 6 foot tall women cast a shadow measuring 13.8 feet what would be the height of the tree
Answer:
1.522 ft tall
Step-by-step explanation:
divide 13.8 by 6ft and you would get 2.3
the height of the object multiplied by 2.3 would get you the shadow so, to get the original height from the shadow, just divide by 2.3.
The perimeter of a rectangle with width, x cm and length, y cm is 82cm. If the length of a rectangle is 15 cm longer than its width, calculate the length and the width of the rectangle.
Answer:
Here, let width of the rectangle be x cm then length becomes xcm+5cm(length of the rectangle is 5cm longer than width)
Now, we know
Perimeter(p)=2(length+width)
40= 2(x+5+x)
40=2(2x+ 5)
40/2=2x+5
20=2x+5
20–5=2x
15/2=x
x=7.5
Now,
length=x+5=7.5+5=12.5cm
width=x=7.5cm
Therefore length is 12.5cm and width is 7.5cm.
Choose an equation of a line through the point (-4, 1) perpendicular to y=−12x+3.
Answer:
[tex]y = \frac{1}{12}x + \frac{4}{3}[/tex]
Step-by-step explanation:
slope of perpendicular line: m = [tex]\frac{1}{12}[/tex]
solve for b:
[tex]1 = \frac{1}{12}(-4) + b[/tex]
solve parenthesis:
[tex]1 = -\frac{1}{3}+b[/tex]
add [tex]\frac{1}{3}[/tex] to both sides:
[tex]b = \frac{4}{3}[/tex]
final equation: [tex]y = \frac{1}{12}x + \frac{4}{3}[/tex]
is this linear, exponential, or quadratic?
the sum of the 13th square number and the 4th cube number?
Answer:
13th square number+4th cube number=233
Step-by-step explanation:
[tex]13^{2} +4^{3}[/tex]=233
The value of the sum of the 13th square number and the 4th cube number will be 223.
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.
The sum of the 13th square number and the 4th cube number. Then the numerical expression is given as,
⇒ (13)² + (4)²
Simplify the numerical expression, then we have
⇒ (13)² + (4)³
⇒ 169 + 64
⇒ 223
The value of the sum of the 13th square number and the 4th cube number will be 223.
More about the value of the expression link is given below.
https://brainly.com/question/23671908
#SPJ2
If U = {x: X € N, 1 < × < 15)
A= {x:x is multiple of 2}
B = {x: x is multiple of 3
C = {x: x is multiple of 5)
verify the following
(a) A(BnB)=(AUB)(AUB)
(b) An(BUC)=(AnB)u(Ang)
(c) AU(BUC)=(AUB)U(AUC)
Answer:
Step-by-step explanation:
Given:
U = {x: X € N, 1 < × < 15) = {1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}
A = {2,4,6,8,10,12,14}
B = {3,6,9,12,15}
C = {5,10,15}
(a) Verify A(BnB)=(AUB)(AUB)
A U (B n B)
= {2,4,6,8,10,12,14} U ( {3,6,9,12,15} n {3,6,9,12,15} )
= {2,4,6,8,10,12,14} U {3,6,9,12,15}
= {2,3,4,6,8,9,10,12,14,15}
( A U B) n (A U B)
= {2,3,4,6,8,9,10,12,14,15} n {2,3,4,6,8,9,10,12,14,15}
= {2,3,4,6,8,9,10,12,14,15}
Therefore
A U (B n B) = ( A U B) n (A U B)
verifies
(b) Verify An(BUC)=(AnB)u(AnC)
A n ( B U C)
= {2,4,6,8,10,12,14} n ( {3,6,9,12,15} U {5,10,15} )
= {2,4,6,8,10,12,14} n {3,5,6,9,10,12,15}
= {6,10,12}
( A n B ) U ( A n C )
= ( {2,4,6,8,10,12,14} n {3,6,9,12,15} ) U ( {2,4,6,8,10,12,14} n {5,10,15} )
= {6,12} U {10}
= {6,10,12}
Therefore
A n ( B U C) = ( A n B ) U ( A n C )
verifies
(c) Verify AU(BUC)=(AUB)U(AUC)
AU(BUC)
= {2,4,6,8,10,12,14}U{3,6,9,12,15}U{5,10,15}
= {2,3,4,5,6,8,9,10,12,14,15}
(AUB)U(AUC)
= ({2,4,6,8,10,12,14}{3,6,9,12,15})U({2,4,6,8,10,12,14}U{5,10,15})
= {2,3,4,6,8,9,10,12,14,15}U{2,4,5,6,8,10,12,14,15}
= {2,3,4,5,6,8,9,10,12,14,15}
Therefore
AU(BUC)=(AUB)U(AUC)
verifies
Can someone help i'm struggling!
Answer:$499.20
Step-by-step explanation:
12% of 960 = 115.20
115.20 x 4
= 460.80
960 - 460.80
= $499.20
Answer:
Step-by-step explanation:
960(.88)^4 = $575.71
answer is A
I need help fast please!!!!
Answer:
f translates right 2 units to get g. sorry about my English
What is the answer to this question?
Answer:
32
Step-by-step explanation:
[tex]g(13) = 16 \\ f(16) = 32[/tex]
PLEASE HELP, I AM MARKING BRAINLEST, dont forget to show work please :)
Value of g(-2) = -8
hope it helps you.....
Answer:
-12
Step-by-step explanation:
-4(-2)^2 -3(-2) -2
-4(4) +6 -2
-16 +6 -2
-12
What is the complement that is given from the angle?
Answer:
59 is the complement of the angle ABC.
Step-by-step explanation:
complement is what adds to that angle to make it 90 degrees. 31+59=90
Answer:
59 is the complement of the angle ABC.
Step-by-step explanation:
determine the equation of the circle graphed below .
( help pleasee )
Answer:
move the circle around that's how you co-ordinate
Step-by-step explanation:
Mrs. Malik ( my maths teacher ) helped me
Answer:
(x + 3)^2 + (y + 5)^2 = 4^2
Step-by-step explanation:
equation of a circle: (x - h)^2 + (y - k)^2 = r^2
(h,k) is the center and r is the radius
the center of this circle is (-3, -5) and the radius is 4
plug the numbers in
(x + 3)^2 + (y + 5)^2 = 4^2
hope this is good, havent done this unit in a while
please help ? i do not understand this question--
Answer:
hey, i think it's the first alternative
Step-by-step explanation:
Find mZHFG if mZEFG = 2x + 52, mZEFH = 21°, and mZHFG = 1 + 31
Answer:
m<HFG = 31
Step-by-step explanation:
We can say that m<EFH + m<HFG = m<EFG because of angle addition postulate. Now, we can substitute the values of the angles in.
21 + x + 31 = 2x + 52
x + 52 = 2x + 52
x = 0
Now, we substitute x into the expression of m<HFG:
m<HFG = x + 31
m<HFG = 0 + 31
m<HFG = 31
Please help fast it’s subtraction
Answer:
17
220
Result in decimals: 0.077272727272727
Step-by-step explanation:
Answer:
[tex]7\frac{17}{220}[/tex]
Step-by-step explanation:
[tex]9\frac{8}{11} -2\frac{13}{20}=\\[/tex]
[tex]9\frac{160}{220} -2\frac{143}{220}=[/tex]
[tex]=7\frac{17}{220}[/tex]
Hope this helps
-6x + 7y = 9
2x - 2y = 4
Solve for x and y
Answer:
x = 23 , y = 21
Step-by-step explanation:
-6x + 7y = 9 -- (1)
2x - 2y = 4 -- (2)
(2) x 3 : 6x - 6y = 12 -- (2)'
(1) + (2)' : y = 21 -- (3)
Subtituting (3) into (2),
2x - 42 = 4
2x = 46
x = 23 -- (4)
According (3) and (4),
x = 23 , y = 21
If this helps you, please give brainliest!
The value of the square root of 42
[tex]\sqrt{42} =6.480740698/\sqrt{42}[/tex]
Answer:
6.4807 Step-by-step explanation:
The square root of 42 is 6.4807.
i need help asap …………..
Step-by-step explanation:
since the radii are all congruent, you can just draw a new one and call it KP. KP = 5 because all radii are congruent. By doing this, point P is now a tangent.
Please help ASAP
Will give Brainliest
Want explanation
Answer:
1.73 or 3+√6/√3+√2
Step-by-step explanation:
1. Simplify the Numerator...3+ the square root of 6 cannot be simplified, so the answer is 5.45
2. Simplify the Denominator.
[tex]17 \sqrt{3} - 2 \sqrt{4} \sqrt{4} \sqrt{2} + 3 \sqrt{9} \sqrt{2} - 4 \sqrt{4} \sqrt{4} \sqrt{3} = 17 \sqrt{3} - 8 \sqrt{2} + 9 \sqrt{2} - 16 \sqrt{3} = \sqrt{3} + \sqrt{2} = 3.15[/tex]
3. Divide. 5.45/3.15= 1.73
if y is inversely proportional to 2x + 1 and the difference in the values of y when x= 0.5 and x= 2 is 0.9, find the value of y when x = -0.25
Answer:
6
Step-by-step explanation:
answer is in photo above
Help me please the numbers I am using is 1,2,2,3,4,5,6,7,8,9
Answer:
2, 4.5 and 8
Step-by-step explanation:
(1)
The mode is the number which occurs most often , then
mode = 2
(2)
The median is the middle value of the numbers arranged in ascending order. If there is no exact middle value then it is the average of the numbers either side of the middle.
1, 2, 2, 3, 4, 5, 6, 7, 8, 9
↑ middle
median = [tex]\frac{4+5}{2}[/tex] = [tex]\frac{9}{2}[/tex] = 4.5
(3)
The range is the difference between the largest and smallest values
range = 9 - 1 = 8
Answer:
If your numbers are 1,2,2,3,4,5,6,7,8,9
Step-by-step explanation:
1.Mode is the data in the value which occurs most frequently.
The mode of your number is 2 cause its frequency is 2 times and its known as bimodal.
2.Median is the middle value when the data is arranged in order of size.
The median of your number is
1,2,2,3,4,5,6,7,8,9
4+5=9
2
=4.5 So,the median is 4.5
3.Range is the difference between the highest value and the smallest value of a given data.
Your range is
Range=9-1=8
I THINK IT MIGHT HELP YOU!!!
which pair is a pair of vertical angles?
Answer:
Angles that are directly across from each other
Step-by-step explanation:
Vertical angles are angles that are directly across from each other, forming an x. They always have the same degree
Area of circle =
A) 36 pie square units
B) 6 pie square units
C) 12 pie square units
Answer:
36 pi
Step-by-step explanation:
The radius is 6
A = pi r^2
A = pi 36
Answer:
Area of circle = 36 π square unit
Step-by-step explanation:
To calculate area of circle simplify formula area of circle . we have given radius of circle which is 6.
Area of circle = π × r²
where,
r is the radius of circlesubstitute the value
Area of circle = π × ( 6 ) ²
expand the exponent
Area of circle = π × 36
multiply
Area of circle = 36 π square unit
Need help on this question asap please sorry
Answer:
D
Step-by-step explanation:
In picture
Brainliest please ~
Answer:
The answer is most likely the last option.
Step-by-step explanation:
While the 2 triangles have different orientations, the two triangles are similar to one another. From my perspective, the scale would most likely be:
[tex] \frac{ab}{de} = \frac{bc}{ef} = \frac{ca}{fd} [/tex]
Note that the fractions can be flipped the other way around too.
[tex] \frac{de}{ab} = \frac{ef}{bc} = \frac{fd}{ca} [/tex]
Now, I can add in the values into the equation
This will give the answer
[tex] \frac{15}{22.5} = \frac{18.75}{bc} = \frac{fd}{ca} [/tex]
We are only looking at the first 2 fractions which were given, and the final option is the answer.
Pls help me with this equation
Answer:
x = 20
Step-by-step explanation:
Given BD = CD then Δ BCD is isosceles and the 2 base angles are congruent
∠ CBD = ∠ BCD = 40° , then
∠ BDC = 180° - (40 + 40)° = 180° - 80° = 100° ← sum of angles in triangle
Sum the 3 angles of Δ ACD and equate to 180
20 + 100 + x + 40 = 180
160 + x = 180 ( subtract 160 from both sides )
x = 20
In ΔQRS, the measure of ∠S=90°, SR = 12, RQ = 37, and QS = 35. What ratio represents the cotangent of ∠Q?
Answer:
35/12
tan Q = 12/35
so cotan Q = 35/12
Which best describes the relationship between the line that passes through the points (-9, -7) and (-12, -2) and the line
that passes through the points (1,9) and (6, 6)?
A. same line
B. perpendicular
C. parallel
D. neither perpendicular nor parallel
Answer:
D
Step-by-step explanation:
y2 - y1 / x2 - x1
-2 - (-7) / -12 - (-9)
5/-3
= -5/3
y2 - y1 / x2 - x1
6 - 9 / 6 - 1
= -3/5
Solve for x
11^x = 11^4* 11^5
Answer:
x = 9 hope i helped and sorry if I'm wrong :)
Of the songs in Jessica's music library, 7/8 are rock songs. Of the rock songs, 5/8 feature a guitar solo. What fraction of the songs in Jessica's music library are rock songs that feature a guitar solo?
*no scamming links are allowed or else I’ll have to report you* .
Answer:
ok so we know 7/8 of them are rock songs and of those songs 5/8 are solos so if we multiple this we get 35/64
Anita can exercise for 20 minutes on her lunch break and 30 minutes after work on her 5 work days. She exercises 35 minutes on the weekend. How many hours per week does Anita exercise? 4 hours per week 4 hours per week 4 hours per week 5 hours per week
Answer:
4 3/4 hours per week
Step-by-step explanation: