Answer:
b=12 or b=−12
Step-by-step explanation:
Answer:
Raise 5 to the power of 2.
25+b^2=132
Raise 13 to the power of 2.
25+b^2=169
Move all terms not containing b to the right side of the equation.
b^2=144
Take the square root of both sides of the equation to eliminate the exponent on the left side.
b=±√144
The complete solution is the result of both the positive and negative portions of the solution.
b=12,−12
The table shows the linear relationship between x, the altitude in feet, and y, the boiling point of water in degrees Fahrenheit. What are the slope and y- intercept of the line that models this situation?
A. Slope=- 0.0018, y-intercept = 212
B. Slope= 0.0018, y-intercept =-212
C. Slope =212, y- intercept= 0.0018
D. Slope=-212, y-intercept = 0.0018
Answer:B
Step-by-step explanation
The slope of the linear relation is -0.0018 and the y-intercept will be 212. The correct option is B.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data in the table is,
Altitude(x) Boiling point (y)
0 212.0
500 211.1
The slope will be calculated as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( 211.1 - 212 ) / (500 - 0 )
Slope = -0.0018
The y-intercept will be calculated as,
y = mx + c
212 = 0 + c
c = 212
Therefore, the slope of the linear relation is -0.0018 and the y-intercept will be 212. The correct option is B.
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State the postulate or theorem you would use to prove each pair of triangles congruent. If the triangles cannot be proved congruent, pick not possible
The triangles can be proven similar by the congruent theorem of triangles
What are Congruent Triangles?
Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape
The three sides are equal (SSS: side, side, side)
Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)
Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)
A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)
Given data ,
Let the two triangles be ABC and DEF
Now , the two triangles will be similar if
The three sides are equal
So , AB = BC = CD and
DE = EF = FD
And the two triangles are congruent if
By ASA theorem - two angles are the same and a corresponding side is the same
And ,
By SAS theorem : Two sides are equal and the angle between the two sides is equal
And ,
By RHS theorem : A right angle, the hypotenuse and a corresponding side are equal
Hence , the triangles ABC and DEF is similar ΔABC ≅ ΔDEF
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what is the value of x ?
Enter your answer in the box . ° ?
Answer:
307°
Step-by-step explanation:
The sum of all the angles of a hexagon is equal to 900°.
So,
112+x+120+100+128+133 = 900
593+x = 900
x = 900-593
x = 307°
So, the value of x is equal to 307°.
The points (11, 13) and (7, 13) fall on a particular line. What is its equation in slope-intercept form?
Answer:
slope -intercept form y=mx+c
The equation of the straight line
y = 0x +13
Step-by-step explanation:
Step(i):-
Given that the points
(11 ,13) and (7,13)
The slope of the line
[tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{13-13}{7-11} = \frac{0}{-4} =0[/tex]
Step(ii):-
Equation of the straight line passing through the point (11,13) and slope m=0
y - y₁ = m( x-x₁)
y - 13 =0(x-11)
y-13 =0
y =13
slope -intercept form y=mx+c
y = 0x +13
Question 5
Reflected figures are always
?
O Smaller
O Bigger
Rotated
Congruent
Answer:
Congruent
Explanation:
The reflection never changes the angle measures or side lengths of the figure.
(log, 4 +log, 16) - log, 2
Answer:
1.5051
Step-by-step explanation:
What are the two consecutive whole numbers that the quotient for 86 ÷ 11 is between?
Answer:
Umm i need the answer to that question to lol haha...
Step-by-step explanation:
The radius of a circle is 9.6 in. Find the circumference to the nearest tenth.
Answer:
19.2
Step-by-step explanation:
9.6*2=19.2
What the answer for 10% of 50
Answer:
5
Step-by-step explanation:
10% of 50 is equal to 5.
50 ÷ 10 = 5
p + 1/4 (is less than or equal to) 2
Answer:
p ≥ 7/4
Step-by-step explanation:
help me please ASAP!!!!
ummmmmm you dont need the explanation and I'd rather not type but trust me its d, good luck!
margie bought 8 cans of tomato soup and 4 cans of mushroom soup. she spent nine dollars and eighty-eight cents. the tomato soup cost $0.79 per can. what did the mushroom soup cost per can?
A certain coin is a circle with diameter 36 mm. What is the exact area of each side of the coin?
The exact area of each side of the coin is
mm?
Answer:
P=36pi
A=3324pi
Step-by-step explanation:
36 diameter so 18 radius but i dont know about what do you mean by side of the coin is it peremeter?
if it is then it is 36 pi
Area will be 18^2 pi which is 324 pi
Kevin earns $12.00 for every 5 story problems he writes. How much would Kevin get for writing 12 problems?
Answer: $28.80
Step-by-step explanation:
We can start by finding the unit rate. How much money does Kevin earn from writing 1 story problem?
We can find how much Kevin earns from writing 1 story by dividing 12 by 5.
12 ÷ 5 = 2.4.
Therefore, Kevin earns $2.40 for every story he writes.
Now we have to find how much Kevin earns from writing 12 story problems. If Kevin earns $2.40 for every story he writes, then we should mutliply that by 12 to find how much money Kevin earns for writing 12 problems.
2.40 x 12 = 28.8.
In conclusion, Kevin earns $28.80 dollars for writing 12 problems.
How to record 2 1/2 inches on a ruler
Answer:
Read explanation
Step-by-step explanation:
If you get a normal ruler it will be one foot total. You add the bigger measurements twice because they're an inch. Then you add half of those measures. It will be numbered 1, 2, 3... so on . In other words, the longer lines are inches and the shorter ones are centimeters.
Answer:
So here's a step by step
1: Pick up your ruler.
2: Make sure the ruler is not broken or cracked.
3: Find the thing you want to measure.
4: Put the ruler against the object.
5: Make sure the 0 on the ruler is right on the side of what your measuring.
6: When all that is done find the 2 on the ruler that is 2 inches
7: Then find the 1/2 mark next to the 2 that is 2 1/2 inches.
Dont know why you needed this but here lol.
Step-by-step explanation:
May I have brainiest please I'm leveling up!
</3 PureBeauty
I will mark genius!!! Please help
change the fraction to a decimal and a percent. go three decimal places
Michael has a points card for a movie theater. He receives 70 rewards points just for signing up. He earns 8.5 points for each visit to the movie theater. He needs at least 165 points for a free movie ticket. What is the least number of visits he needs to make in order to earn a free movie ticket?
Answer
The true least number of visits is the lowest whole number above 11.176470..., which is 12.
Step-by-step explanation:
points per visit, # of visits + sign-up points ≥ free tickets points
8.5 (points per visit)
70 (# of visits)
165 (free ticket points)
8.5v ≥ 70 + 165
70 + 8.5v ≥ 165
8.5v ≥ 165 -70
8.5v/8.5v ≥ 95/8.5
v ≥ 11.1764705882
The true least number of visits is the lowest whole number above 11.176470..., which is 12.
Answer:
A
tyler has a points card for a movie theater.
he receives 75 rewards points just for signing up.
• he earns 10.5 points for each visit to the movie theater.
he needs 180 points for a free movie ticket.
.
a
how many visits must tyler make to earn a free movie ticket?
Step-by-step explanation:
what to multiply from 3/4 to 1
turn 15/6 into a mixed number
Answer:
2 3/6
Step-by-step explanation:
divide 15 by 6 to get 2, and left with a remainder of 3.
A boat traveled at a speed of 84.4 mph for a duration of 15 minutes. What was the distance (in miles) it traveled?
Record' s calculated
PLZ HELP
Select all that apply.
The slope of the graph of a direct variation function is -3. Which of the following is true?
The point (2, -6) is on the graph of the function.
The equation is y = -3 x.
The function is linear.
The equation of the function is y = - x.
please help me!! thank you!!
Answer:
(x, y) --> (2/3x, 2/3y)
Step-by-step explanation:
Given equation: 3x-2y=6
How do you get the x-value of the x-intercept of the line?
Answer:
(2,0)
Step-by-step explanation:
Since you're finding the x-intercept, logically y will have to equal 0 in order for x to be at its intercept, therefore plugging in 0 for y in your equation will give you your x-intercept.
3x -2(0) = 6
3x = 6
x = 2
So the x=int for this equation would be at the point:
(2,0)
Hope this helps!
:)
NEED HELP HURRY!!!!!
Is it similar or not similar ?
Answer:
not similar because the lengths aren't the same.
1
1
Consider the linear approximation
2
+
4 - 1
16
A. Over what interval is the approximation accurate within 0.5?
Round bounds to 4 decimal(s) while keeping the estimate within bounds.
B. Over what interval is the approximation accurate within 0.2?
Round bounds to 4 decimal(s) while keeping the estimate within bounds.
Answer:
Brainly B.Over what interval is the approximation accurate within 0.2 Roubd bounds to 4 decimal (s) while keeping the estimate within bounds Copy this write answer
The equation w(t)=100+40t models the weight (w(t) in grams) of a male white laboratory rat t weeks after its birth.
What is the rate of change? What does it mean in the context of the problem?
What is the y-intercept? What does it represent in the context of the problem?
Answer:
Step-by-step explanation:
Can y’all help me on question 20?!
Answer:
372 miles
Step-by-step explanation:
brainliest please
3. The completion of a construction job may be delayed because of a strike. The probabilities are 0.60 that there will be a strike, 0.85 that the construction job will be completed on time if there is no strike, and 0.35 that the construction will be completed on time if there is a strike. What is the probability that the construction job will be completed on time
Answer:
0.55 = 55% probability that the construction job will be completed on time
Step-by-step explanation:
We have these following probabilities:
0.6 probability there is a strike. In this case, 0.35 probability that the construction will be completed on time.
1 - 0.6 = 0.4 probability that is not a strike. In this case, 0.85 probability that the construction will be completed on time.
What is the probability that the construction job will be completed on time?
[tex]p = 0.6*0.35 + 0.4*0.85 = 0.55[/tex]
0.55 = 55% probability that the construction job will be completed on time
Solve for x.
6
4
X
6
1
x = [?]
Enter the number, in decimal form,
that belongs in the green box.
9514 1404 393
Answer:
x = 3.6
Step-by-step explanation:
The angle bisector divides the segments proportionally. This means they satisfy ...
bottom segment / side segment = x/6 = (6-x)/4
Multiplying by 12 gives ...
2x = 3(6 -x)
2x = 18 -3x . . . . . eliminate parentheses
5x = 18 . . . . . . . . add 3x
x = 3.6 . . . . . . . . . divide by 5
_____
Alternate solution
I like to try to work these mentally. The total of side lengths is 10, so the total base length (6) is 6/10 = 0.6 times that. Then x will be 0.6 times the left side length: 0.6·6 = 3.6 = x.