1) 9, 7 , 13
Yes because the sum of the two smaller sides is greater than the third side.
2) 26 , 12 , 11
No because the sum of the two smaller sides is not greater than the third side.
3) 11, 2, 9
No because the sum of the two smaller sides is not greater than the third side.
4) 6,11,12
Yes because the sum of the two smaller sides is greater than the third side.
What is triangle inequality ?According to the Triangle Inequality Theorem, the total of any two sides in a triangle must be greater than the third side.
Two arcs in a triangle will only come together at their points of intersection if the sum of their radii is larger than the separation between their centers.
In a triangle, the difference between any two sides will be smaller than the third side if any two sides' sums are more than the third.
1) 9, 7 , 13
Yes because the sum of the two smaller sides is greater than the third side.
2) 26 , 12 , 11
No because the sum of the two smaller sides is not greater than the third side.
3) 11, 2, 9
No because the sum of the two smaller sides is not greater than the third side.
4) 6,11,12
Yes because the sum of the two smaller sides is greater than the third side.
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Need done quick for final
The equation of the function is y = -1/2x.
What is equation of function?A function is an equation that, for each value of x, has a one solution for the variable y. Each input receives exactly one output when using a function. When x equals 2, we should determine our function's value because f(2) says to do so.
Here points are (-6,3) and (6, -3)
m = [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]
here, m = -3-3/6+6
m = -1/2
equation of line is y = mx + b
y = -1/2x+ b
hence, equation of function is y = -1/2x
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Point D is the circumvented. AB= 42 DC= 29DF= 16FC =28AG= 33
Find intersection of
BD , AD DC
Then
BD = BE^2 + ED^2
R = AD = abc/4S = 42• (2•28)•
What is the slope of the line that passes through the points (−4,4) and (-1, 3)
Write your answer in the
simplest form.
mr.moore told the class that a right triangle has the following side measurements : 5inces, 12 inches, and 13 inches. which of those measurements would be lenghs of the hypotenuse?
Answer:
13 inches
Step-by-step explanation:
So, the hypotenus is the longest side of a right triangle, so it would be 13. But, if you really want to double check, you can take a2 + b2 = c2 and fill in each letter with a number until it is right. So, we'll do a=5, b=12, and c=13. 5 squared is 25, 12 squared is 144, and 13 squared is 169. 144+25=169.
Can someone please help me!!
The vector given in Option C is correct.
Define vectors.In mathematics and physics, the term "vector" is used informally to describe certain quantities that cannot be described by a single number or by a set of vector space elements. a quantity in mathematics that lacks position but has both magnitude and direction. Velocity and acceleration are a couple of examples of these quantities. A quantity or phenomenon with independent qualities for both magnitude and direction is called a vector. The term can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.
Given,
The vector should be arranged with the direction going toward the tips of Vector A and Vector B.
Option C is correct.
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Write and solve a word problem that can be solved using decimals addition that requires regrouping the 10th
Lets suppose we used an example of two children, one of them having $7.50 and other one having $8.40, and the total money will be the addition i.e., $15.9 using decimal operations.
As per the question statement, we are supposed to write and solve a word problem for decimal addition. Let the statement be : Two children, one of them have $7.50 and other one having $8.40, the sum total money would be____".
We are supposed to add both decimal numbers:
Total money = $7.50 + $8.40
Total money = $15.9
Hence, the sum total of the money of both the children is $15.9 using the decimal operations.
Decimal: A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole amounts.To learn more about decimals, click on the link given below:
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Function
f(x) = -2x + 17
x-Values
X1 = 0, X₂ = 3
Answer:
f(X1) = 17 f(X2) = 11
Step-by-step explanation:
f(x1) = -2(0) + 17
f(x1) = 17
f(x2) = -2(3) + 17
f(x2) = -6 + 17
f(x2) = 11
How can I solve this problem?
a) The down payment of $60,000 is 30% for a studio apartment of $200,000 purchase price
b) The down payment of $90,000 is 45% for a studio apartment of $200,000 purchase price.
Given,
The purchase price for the studio apartment = $200,000
The down payment they paid = $60,000
a) We have to find the percentage of down payment to purchase price.
Here,
Percentage = (down payment x 100) / purchase price
= (60,000 x 100) / 200,000
= 60/2
= 30
That is,
The down payment of $60,000 is 30% for a studio apartment of $200,000 purchase price.
b) We have to find the percentage to purchase price if the down payment is $90,000
Here,
Percentage = (down payment x 100) / purchase price
= (90,000 x 100) / 200,000
= 90/2
= 45
That is,
The down payment of $90,000 is 45% for a studio apartment of $200,000 purchase price.
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mg = 5 solve for g please
Answer:
g = 5/m
Step-by-step explanation:
mg = 5
÷m on both sides to get g on its own
g = 5/m
Can you help explain this to me, I’m so lost
Given:
The equation is,
[tex]-x-4y=-10[/tex]Explanation:
Substitute 3 for x and 2 for y in the equation to check for the solution.
[tex]\begin{gathered} -3-4\cdot2=-10 \\ -3-8=-10 \\ -11\ne-10 \end{gathered}[/tex]Point (3,2) not satisfy the equation. So point (3,2) is not a solution of equation
Here is an equation.
y = 3x + 5
a) When x = 10, what is the value of y?
b) When x = -10, what is the value of y?
Answer:
A(35
B(-25
Step-by-step explanation:
3x10+5=35
3x-10+5=25
let me break it down more for you
3 x 10= 30 + 5= 35
3 x -10= -30 + 5 = 25
CAN SOMEONE HELP MEEEEEEEEEEEEE
It will take Cindy and Latasha and average of 24.44 years to have equal salary
Equivalent EquationsEquivalent equations are algebraic equations having identical solutions or roots. In this question, we would use x to represent the number of years it will take to earn or have equal amount.
x = number of years.The equation can be written as
[tex]40000 + 3300x = 62000 + 2400x \\[/tex]
Each side of the equation represents the increase in salary per year of each person
Lets collect like terms and solve for x
[tex]62000-40000 = 3300x - 2400x\\22000 = 900x\\x = \frac{220}{9}\\x = 24.444[/tex]
It will take 24.44 years for them to have equal amount of salary.
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-9y=3x+81 find slope
Answer:
divide by -9 and you get -3/9x-9 simplify -3/9 to -1/3
Step-by-step explanation:
-1/3x is your slope
i need this answer .
Answer:
the answer is 60
Step-by-step explanation:
What are the coordinates of the point on the directed line segment from (-1, -2)(−1,−2) to (8, 4)(8,4) that partitions the segment into a ratio of 2 to 1?
The coordinates which divide the segment with endpoint (-1,-2) and (8,4) in the ratio 2 to 1 are (5,2)
What is section formula?
Section formula is used to find the ratio in which a line segment is divided by a point internally or externally. The section formula can be given as
[tex](\frac{mx_{2}+nx_{1} }{m+n} ,[/tex][tex]\frac{my_{2}+ny_{1} }{m+n})[/tex] where [tex](x_{1},y_{1} ),(x_{2},y_{2} )[/tex] are the endpoints of the segment and this points are divided in the ratio [tex]m:n[/tex]
We are given the coordinates as (-1,-2) and (8,4)
This segment is divided in ratio 2:1
We use section formula to find the coordinates
the x- coordinates can be given as
[tex]x=\frac{2(8)+1(-1)}{2+1}[/tex]
[tex]x=\frac{16-1}{3}\\[/tex]
[tex]x=\frac{15}{3}[/tex]
[tex]x=5[/tex]
Similarly the y coordinate can be given as
[tex]y=\frac{2(4)+1(-2)}{2+1}[/tex]
[tex]y=\frac{8-2}{3}[/tex]
[tex]y=\frac{6}{3}[/tex]
[tex]y=2[/tex]
Hence the coordinates which divide the segment with endpoint (-1,-2) and (8,4) in the ratio 2 to 1 are (5,2)
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Write a quadratic function f whose zeros are -3 and -10.
Answer:
[tex]f(x)=x^{2} +13x+30[/tex]
Step-by-step explanation:
1. Whenever you write a quadratic function with zeros, you want to put it into a formula like this:
[tex]f(x)= (x-p) (x-q)[/tex]
p and q are the zeros
2. Your zeros are (-3) and (-10). When plugging in the zeros, you always flip the sign on the number. Because you would plug it in as: [tex]f(x) = (x-(-3)) (x-(-10))[/tex]
Two negative signs equal positive signs, so the equation will look like this:
[tex]f(x)=(x+3)(x+10)[/tex]
3. Solve the equation:
a. Use the foil method: [tex](a+b)(c+d)=ac+ad+bc+bd[/tex]
[tex]f(x)=x^{2} +10x+3x+30[/tex]
b. Collect like terms
[tex]f(x)=x^{2} +(10x+3x)+30[/tex]
c. Simplify
[tex]f(x)=x^{2} +13x+30[/tex]
Hope that helps!
solve -1/3(9x+42)-5x=-70
The sum of the ages of Tameka, Jessica, and Venessa is 57. Tameka is 3 years older than Jessica and 6 years older than Venessa. How old is Tamika?
From the given information Tameka is 22 years old.
Given:
The sum of the ages of Tameka, Jessica, and Venessa is 57
And Tameka is 3 years older than Jessica and 6 years older than Venessa
Let Tameka's age be x
Therefore, Jessica' age will be x-3 and Venessa age will be x -6
Therefore according to the question,
x + (x-3) + ( x-6) = 57
=> 3x = 57 + 3 + 6
=> x = 66/3
x= 22years
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-(8x +4)-1=-7x- (x + 5)
Answer: All real numbers; (−∞ ,∞) ; infinite solutions
Step-by-step explanation:
[tex]-(8x +4)-1=-7x- (x + 5)[/tex]
You want to distribute the (-) in (-(8x +4)) and (- (x + 5))
[tex](-8x - 4) - 1 = -7x (-x - 5)[/tex]
Combine like Terms on Both sides:
[tex]-8x - 5= -8x - 5\\\\\\[/tex]
Add 5 to the right, and Add 8x to the left. (you want to cancel)
[tex]-8x - 5 = -8x -5\\+8x +5 \ \ +8x +5\\\\[/tex]
You are left with: [tex]0 = 0[/tex]
If you are end with 0=0, that means both equations are equal regardless of the variables. Therefore the answer is all real numbers; (−∞ ,∞) ; infinite solutions. You could check by substituting any values, and getting the same answers on both sides.
please help!!! you will get brainliest... there are 2 attachments 2nd image first, part one is 2nd image
Answer:
See my photo, bro. i am not really sure if this week should be counted in. And the second question's answer i am not really sure. hope it can help.
What numbers could be added to -4.3? Explain how you know?
Answer:
any number less than 4.3
Step-by-step explanation:
Let x = number that can be added to -4.3
-4.3 + x < 0
Add 4.3 to both sides.
x < 4.3
Answer: any number less than 4.3
PLEASE HELP VERY URGENT
The simplified forms of the radical expressions:
√2 - 9∛3 4√3 21∛2 - 31√6How to simplify additions of radical expressions
In this question we find five cases of addition of radical expressions that must be simplified into a single radical expression, that is, a radical expression of the form a√b. The simplification can be done by using algebra properties. The complete procedure is shown below:
Case 1
- 3√18 + 10√2
- 3 · (√9 × √2) + 10√2
- 3 · 3 · √2 + 10√2
- 9√2 + 10√2
√2
Case 2
- 2∛24 - 5∛3
- 2 · (∛8 × ∛3) - 5∛3
- 2 · 2 · ∛3 - 5∛3
- 4∛3 - 5∛3
- 9∛3
Case 3
5√12 - 2√27
5 · (√3 × √4) - 2 · (√3 × √9)
5 · 2 · √3 - 2 · 3 · √3
10√3 - 6√3
4√3
Case 4
5∛16 + 11∛2
5 · (∛8 × ∛2) + 11∛2
5 · 2 · ∛2 + 11∛2
10∛2 + 11∛2
21∛2
Case 5
3√54 - 21√24
3 · (√6 × √9) - 21 · (√6 × √4)
3 · 3 · √6 - 21 · 2 · √6
9√6 - 42√6
- 31√6
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PLEASE HELP ASAP!! I’ll give u a virtual hug if u solve it
Answer:
? = 56 m
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion, that is
[tex]\frac{?}{8}[/tex] = [tex]\frac{21}{3}[/tex] = 7 ( multiply both sides by 8 to clear the fraction )
? = 7 × 8 = 56 m
Answer:
Step-by-step explanation:
10.5 funding slope and graphing lines
The line has a slope of 1 is L, and the line has a slope of 2 is K, slope of line is [tex]y = (\frac{1}{3} )x[/tex].
Suppose a small grid represents a unit, from the graph,.
We can know,
For line L : When adding a unit horizontally, a unit is also added vertically.
Hence,
The slope of L : 1/1 = 1
For line K : When adding a unit horizontally, a two units are also added vertically.
Hence,
The slope of K : 2/1 = 2
A graph a line whose slope is 1/3, label the line a.
'a' line whole slope is 1/3
Suppose the line 'a' is,
[tex]y = (\frac{1}{3} )x[/tex]
x 0 3
y 0 1
Therefore,
The line has a slope of 1 is L, and the line has a slope of 2 is K, slope of line is [tex]y = (\frac{1}{3} )x[/tex].
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Find the missing angle on the triangle pls need help
The given triangle is a right triangle and measurement of ∠ B = 44°
What is a right triangle?A triangle in which one angle is a right angle (that is, a 90-degree angle), i.e., in which two sides are perpendicular.
Given a right triangle,
We know the sum of two angles in a right triangle is 90°
∠ A + ∠ B = 90°
46° + ∠ B = 90°
∠ B = 44°
Hence, the measurement of ∠ B = 44°
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-3k≥6 I am extremely confused on this question so please help me
Answer:
k<=-2
Step-by-step explanation:
-3k≥6
3k<=-6 ==> when dividing by negative numbers switch the sign of the inequality
3k/3<=-6/3
k<=-2
7n-4=31 what does n equals ?
Answer
n = 5
Explanation
We need to solve for n in the equation given
7n - 4 = 31
Add 4 to both sides
7n - 4 + 4 = 31 + 4
7n = 35
Divide both sides by 7
(7n/7) = (35/7)
n = 5
Hope this Helps!!!
train traveling at 35 mph takes 30 hours to travel from chicago to new york. how fast must the train travel to make the trip in 25 hrs
To make the trip in 25 hrs, the train must travel as fast as 42 mph.
Speed is the rate or the change in distance over change in time.
Speed = d / t
where d = distance
t = time
If a train traveling from Chicago to New York has a speed of 35 mph and took 30 hours to cover the distance from the two locations, then the distance is 1050 miles.
Speed = d / t
35 mph = d / 30 h
d = 1050 miles
Covering the same distance, solve for the rate of speed needed by the train to make the trip in 25 hours.
Speed = d / t
Speed = 1050 miles / 25 hours
Speed = 42 mph
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4) At 5:00am in the morning, the temperature was -14.8 degrees Fahrenheit. By noon, the temperature increased to 6.2 degrees Fahrenheit. How much did the temperature change? Write an equation and then solve. Show all your steps.
If the temperature in the morning and noon is -14.8 degrees and 6.2 degrees Fahrenheit the temperature change will be 21°F.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.
It is given that At 5:00 am in the morning, the temperature was -14.8 degrees Fahrenheit. By noon, the temperature increased to 6.2 degrees Fahrenheit.
First, the temperature is changed from -14.8 degrees to 0 degrees Fahrenheit and then from 0 degrees Fahrenheit to 6.2 degrees Fahrenheit.
The overall temperature change is,
ΔT =T₂ - T₁
ΔT =6.2° F - (-14.8°F)
ΔT =21°F
Thus, if the temperature in the morning and noon is -14.8 degrees and 6.2 degrees Fahrenheit the temperature change will be 21°F.
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8x + 13
12x + 7
7>>
X
x =
The value of the x for the two given parallel lines is 80.
What is termed as the corresponding angles?Corresponding angles are generated when two parallel lines have been intersected by a transversal. The definition of corresponding angles states that when two parallel lines intersect with a third, the angles that occupy the very same relative position at every intersection are said to be corresponding angles to one another.For the given question;
The value of the angles are given in the form of equation.
∠1 + (12x + 7) = 180 (linear pair)
∠1 = 180 - 12x - 7
∠1 = 173 - 12x
Now,
∠1 = 8x + 13 (corresponding angles)
Put the value of ∠1.
173 - 12x = 8x + 13
On simplification,
173 - 13 = 8x + 12x
160 = 20 x
x = 80
Thus, the value of the x for the two given parallel lines is 80.
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