Answers
a. 3, 4, 5
3^2+4^2?5^2
9+16?25
25=25
right
b. 5, 6, 7
5^2+6^2=7^2
25+36=49
61>49
acute
c. 64+81=144
145>144
acute
hope this helps!
Assume 3 vertices are a,b,c
if a^2 + b^2 < c^2 ->it's obtuse
a^2 + b^2 = c^2 ->it's right
a^2 + b^2 > c^2 ->it's acute
First one is right apparently, similar combination of right triangle include 6,8,10
Related Questions
Help me Please!! Ive got a deadline!! Thanks! (:
Answers
x= -(-2)/2(-1) which is x = 2/-2 which is x = -1. That -1 is the x coordinate of the vertex. You could plug that back into the equation and solve it for y, which is the easier way, or you could complete the square on the quadratic...let's plug in x to find y. -(-1)^2 - 2(-1)-1 = 0. So the vertex is (-1, 0). That's the first choice given. For the last one, since it is a negative quadratic it will be a mountain instead of a cup, meaning it doesn't open upwards, it opens downwards. Those quadratics will ALWAYS have a max value as opposed to a min value which occurs with an upwards opening parabola. This one is also the first choice because of the way the equation is written. There is no side to side movement (the lack of parenthesis tells us that) so the x coordinate for the vertex is 0. The -1 tells us that it has moved down from the origin 1 unit; hence the y coordinate is -1. The vertex is a max at (0, -1)
What is the difference between rational functions and inverse variation
Answers
Rational functions are functions that can be written as the ratio of two polynomial functions, while inverse variations are a type of rational function where the product of two varying quantities is a constant.
Explanation:A rational function is any function that can be written as the ratio of two polynomial functions. Both the numerator and the denominator are polynomials. For example, f(x) = (2x^2 + 3)/(x - 5) is a rational function where 2x^2 + 3 and x - 5 are polynomial functions.
On the other hand, an inverse variation, or inverse proportion, is a specific type of rational function where the product of two varying quantities is a constant. It is in the form of y = k/x, where k is a nonzero constant. For example, if y varies inversely as x, then the product of x and y is constant, which means xy = k.
To summarize, all inverse variations are rational functions since they can be expressed as a ratio of two polynomials. However, not all rational functions are inverse variations since not all can be written in the form y = k/x.
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Write 121 raised to the one-half power equals 11 as a logarithmic function
Answers
so
[tex]121^\frac{1}{2}=11[/tex] translates to [tex]log_{121}(11)=\frac{1}{2}[/tex]
Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite. 3x + 2y = 6 x - y = 2
Answers
Hope it helps.
CAN SOMEONE HELP ME WITH NUMBER 9!!!
Answers
What is the missing step in this proof?
Answers
¹²³⁴⁵⁶⁷⁸⁹⁰⁹⁸⁷⁶⁵⁴³²¹
₁¹₁¹₁
Answer:
Option C is correct.
The missing steps in this proof is; [tex]\angle 1 \cong \angle 4[/tex] and [tex]\angle 3 \cong \angle 5[/tex].
Explanation:
Given ΔABC.
Prove that: The sum of the interior angle measures of ΔABC is [tex]180^{\circ}[/tex]
Let A ,B and C forms a triangle [Given]
Parallel lines are those two lines that are always the same distance apart and never touch.
then, by the definition of parallel lines and labeling angles
DE be the line passing through B, parallel to AC, with angles as labelled in the figure as shown below in the attachment.
Alternative Interior Angle theorem states that the angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles also this theorem says that when the lines are parallel, then the alternate interior angles are equal.
Then,
[tex]\angle 1 \cong \angle 4[/tex] and
[tex]\angle 3 \cong \angle 5[/tex] [By Alternative Interior angle theorem]
Angles are always congruent if their measures in degrees are equal.
therefore,
[tex]m\angle 1 =m\angle 4[/tex] and
[tex]m\angle 3=m\angle 5[/tex] [By Congruent Angle have equal measure] ......[1]
Straight Angles states that angles on one side of a straight line always add to 180 degrees.
From the given figure;
By the addition angle and definition of straight angle we get;
[tex]m\angle 4 +m\angle 2 +m\angle 5 =180^{\circ}[/tex] ......[2]
Substituting equation [1] in [2] we get;
[tex]m\angle 1 +m\angle 2 +m\angle 3 =180^{\circ}[/tex]
Therefore, the sum of the interior angles measures of triangle ABC is [tex]180^{\circ}[/tex]
Solve by factoring c^2=5c
Answers
c² = 5c
Subtract 5c from both sides:
c² - 5c = 5c - 5c
Simplify :
c² - 5c = 0
c = 5 , c = 0
The solutions to the equation c² = 5c are c = 0 and c = 5.
We have,
To solve the equation c² = 5c by factoring,
we can rearrange it as:
c² - 5c = 0
Then we can factor out the common factor of c, giving:
c(c - 5) = 0
Now we can apply the zero product property, which states that if the product of two factors is equal to zero, then at least one of the factors must be zero.
So we have:
c = 0 or c - 5 = 0
Solving for c in each case, we get:
c = 0 or c = 5
Therefore,
The solutions to the equation c² = 5c are c = 0 and c = 5.
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Pleaseee help. The longer base of an isosceles trapezoid measures 23 ft. The nonparallel sides measure 9ft, and the base angle measure 80 degrees. Find the length of a diagonal.
Answers
h = 9 * sin 80° = 9 * 0.9848 = 8.86 ft.
Then look at the right triangle, where a hypotenuse is 9 and one leg is 8.86. Another leg is x.
x² = 9²- 8.86²
x² = 81 - 78.4996
x = √ 2.5004
x = 1.58
23 - 1.58 = 21.42
Finally the diagonal:
d² = 21.42² + 8.86² = 458.8 + 78.4996 = 537.3
d = √537.3 = 23.18 ≈ 23 ft
Answer: D. 23 ft.
Find the first six terms of the sequence.
a1 = -1, an = 2 • an-1
Answers
-1, -2, -4, -8, -16, -32
Answer:
The first six terms of the sequence are: -1, -2, -4, -8, -16 and -32
Step-by-step explanation:
The sequence is:
[tex]a_1=-1\\a_n=2*a_{n-1}[/tex]
So, for finding the first six terms of the sequence, we need to replace n by the numbers 1 to 6 and we get:
[tex]a_1=-1\\a_2=2*a_{2-1} =2*a_1\\a_3=2*a_{3-1} =2*a_2\\a_4=2*a_{4-1} =2*a_3\\a_5=2*a_{5-1} =2*a_4\\a_6=2*a_{6-1} =2*a_5\\[/tex]
That means that the term n is 2 times the last term. Then, replacing the values of [tex]a_1, a_2, a_3, a_4[/tex] and [tex]a_5[/tex], we get:
[tex]a_1=-1\\a_2=2*(-1)=-2\\a_3=2*(-2)=-4\\a_4=2*(-4)=-8\\a_5=2*(-8)=-16\\a_6=2*(-16)=-32\\[/tex]
So, The first six terms of the sequence are: -1, -2, -4, -8, -16 and -32
In the diagram, which two points are shown to be collinear?
Answers
In the given diagram, the points that are shown to be collinear are H and E.
Collinearity in geometry refers to the condition where three or more points lie on the same straight line. In this case, points H and E are collinear as they lie on the same straight line, which is represented by a vertical double-headed arrow passing through them.
The diagram consists of two parallelograms, labeled 'I M' and 'E P', with three points inside each. In the parallelogram 'I M', the points are labeled as I, H, and J from top to bottom. Similarly, in the parallelogram 'E P', the points are labeled as F, E, and G from top to bottom. Among these points, only H and E share the same straight line, making them collinear. The other points do not share this line and hence are not collinear with H and E. This concept is fundamental in understanding geometric relationships and properties.
The giraffes at the Liberia zoo eat 75 pounds of food per day, and 52.5 pounds per day comes from acacia leaves. How much of their diet comes from other types of leaves?Julia, the zookeeper, used the equation 52.5 + x = 75 to find the answer. Which equation is an equivalent equation that can be used to solve the problem?
Answers
Answer:
C is the answer.
Step-by-step explanation:
52.5 + 75 = x
x + 75 = 52.5
75 – 52.5 = x
x – 52.5 = 75
How many ounces of a 35% alcohol solution must be mixed with 10ounces of 40% alcohol solution to make a 37% alcohol solution?
Answers
[tex]\bf \begin{array}{lccclll} &amount&concentration& \begin{array}{llll} concentrated\\ amount \end{array}\\ &-----&-------&-------\\ \textit{35\% sol'n}&x&0.35&0.35x\\ \textit{40\% sol'n}&10&0.40&4.00\\ -----&-----&-------&-------\\ mixture&y&0.37&0.37y \end{array}[/tex]
now, whatever "x" amount is, we know that x + 10 must add up to "y". x + 10 = y, because both quantities added will give the mixture amount.
and whatever 0.35x + 4 = 0.37y, because both concentrated amounts must give the 37% of the mixture.
[tex]\bf \begin{cases} x+10=\boxed{y}\\ 0.35x+4=0.37y\\ ----------\\ 0.35x+4=0.37\left( \boxed{x+10} \right) \end{cases}[/tex]
solve for "x", to see how much of the 35% solution will be needed.
what about "y"? well, x + 10 = y.
to the nearest whole degree, what angle measure has a sine of .9762
Answers
and if you just want the answer it is:
77.475 Degrees
and
it is 102.525 Degrees
You flip a coin and roll a number cube. What is the probability that you flip tails and roll a number less than five?
Answers
Tail 1+T 2+T 3+T 4+T 5+T 6+T
Heads 1+H 2+H 3+H 4+H 5+H 6+H
So as you can see from about there are 12 different outcomes
There are 6 chances in getting a tails bit only 4 are less that 5 so you answer is 4/12
(You don't simplify probability)
How to solve math problems with rules of exponents?
Answers
for example: 3^2 the answer would be 9 because it has to be 3 times 3
another example is 6^3 it would be 6 times 6 times 6 and that would be 216
Final answer:
When solving math problems with rules of exponents, it is important to understand key concepts such as multiplication of exponentials, taking square roots of exponentials, and dividing exponentials.
Explanation:
When solving math problems with rules of exponents, there are several key concepts to keep in mind:
Multiplication of Exponentials: Multiply the digit terms in the usual way and add the exponents of the exponential terms.Taking Square Roots of Exponentials: If necessary, decrease or increase the exponential term so that the power of 10 is evenly divisible by 2. Extract the square root of the digit term and divide the exponential term by 2.Dividing Exponentials: Divide the numbers out front and subtract the exponents.It is important to understand these rules and practice applying them to various problems in order to master solving math problems with rules of exponents.
When factored, the trinomials x^2-2x-15 and x^2-9x+20 have one binomial factor in common. What is this factor?
1. x-7
2. x+7
3. x-5
4. x+5
Answers
(x-5)(x+3)
Proof:
-5+3=-2
-5*3=-15
x^2-9x+20
(x-4)(x-5)
Proof:
-4-5=-9
-4*-5=20
Final answer: (x-5)
Simplify the expression
4m+5−3m
I have been stuck on this for a long time >.
Answers
(4m - 3m) + 5 =
m + 5 ← answer
Simplified form of the expression 4m+5−3m:
m + 5
Expression : Degree of m is 1 , so the expression is linear.
Given , that expression: 4m+5−3m
Now to simplify the expression,
⇒ 4m + 5 − 3m
Combine like terms,
⇒ (4m - 3m) + 5
⇒ m + 5
Thus the simplified form is m + 5 .
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One week, Katie Hopper earned the following commissions: Monday, $124; Tuesday, $88; Wednesday, $62; Thursday, $137; Friday, $195. Find her total amount of commissions for the week
Answers
This is the answer⬆️
add them together:
124 + 88 + 62 +137 +195 = $606 total
Gary used candle molds, as shown below, to make candles that were perfect cylinders and spheres: A cylindrical mold is shown, the radius of the top circular section of the cylinder is labeled 2 inches and the height of the cylinder is labeled as 4 inches. On the right side of this mold is a spherical mold. The radius of this spherical mold is labeled as 2 inches. What is the approximate difference in the amount of wax needed to make a candle from each of these molds? Use π = 3.14.
16.75 cubic inches
20.93 cubic inches
24.25 cubic inches
33.49 cubic inches
Answers
Cylindrical mold:
V = πr²h
where V is volume, r is radius, and h is height.
Substituting the known values:
V = π(2 in)²(4 in)
V = 16π in³ = 50.26 in³
Spherical mold:
V = 4πr³/3
Substituting the radius to the equation,
V = 4π(2 in)³ / 3
V = 32π/3 in³ = 33.51 in³
The difference is calculated below:
D = 50.26 in³ - 33.51 in³
D = 16.76 in³
Hence, the answer is the first choice.
can someone help me with this factoring problem? I forgot how to factor.
Factor completely −3x2 + 6x − 9.
−3(x2 − 2x + 3)
−1(x2 − 6x + 9)
−3x(x2 − 2x + 3)
−3(x2 + 2x − 3)
Answers
= -3(x^2 - 2x + 3)
answer
-3(x^2 - 2x + 3) first one
-3(x^2-2x+3)
To check, multiply what you took out by each term in the trinomial and make sure it's the same
-3*x^2=-3x^2
-3*-2x=6x
-3*3=-9
Express 257.36 multiplied by 10 in scientific notation
Answers
__________________________________________________________
The height of the oversized container is 3 m it's diameter is 2 m what is its area?
Answers
i think
( 3.14×radius×radius) + (2×3.14×height)
thus,
(3.14×1×1) + (2×3.14×3)
=21.98 m
What is the length of the third side of the right triangle?
( Best explained and correct answer gets brainliest. )
Answers
6^2 + 3^2 = x^2
36 + 9 = x^2
45=X^2
X= sqrt(45) = 3squareroot5
answer is A
The graph below represents which system of inequalities? graph of two infinite lines that intersect at a point. One line is solid and goes through the points 0, 2, negative 2, 0 and is shaded in below the line. The other line is dashed, and goes through the points 0, 6, 3, 0 and is shaded in below the line.
Answers
I hoped I helped and if you need more you could always ask me :)
-Dawn
Answer:
its answer d
Step-by-step explanation:
The number of bees that visit a plant is 500 times the number of years the plant is alive where t represents the number of years the plant is alive. What does the expression 500t represent
Answers
The graph of f(x) = x2 is shifted 3 units to the right to obtain the graph of g(x). Which of the following equations best describes g(x)?
a. g(x) = (x + 3)2
b. g(x) = x2 − 3
c. g(x) = x2 + 3
d. g(x) = (x − 3)2
Answers
Answer: Option 'd' is correct.
Step-by-step explanation:
Since we have given that
[tex]f(x) = x^2[/tex]
We need to shift the function f(x) 3 units to the right to obtain the graph of g(x).
As we know that shifting right is the horizontal shift.
And f(x-h) = g(x) , here f shift right h units.
so, After shifting 3 units right, we get that
[tex]g(x)=(x-3)^2[/tex]
Hence, Option 'd' is correct.
Solve the inequality -2x is less than or equal to 3x + 1 is less than or equal to 10
Answers
[tex] \frac{-2x-1}{3} \leq x \leq 3[/tex]
this is what i understood from what you typed...
using the diagram what is the intersection of plane ABCD and gc
Answers
If two opposite sides of a quadrilateral are parallel and congruent then the quadrilateral is a parallelogram true or false
Answers
When college students are asked to solve a puzzle problem independently, only about 10% solve it correctly. then, when students who did not solve the problem were allowed to discuss the problem together, 75% got it right. this illustrates the participants' _____?
Answers
The correct answer to fill in the blank is:
“Cognitive flexibility”
Cognitive flexibility refers to a person’s ability to adapt the mental processing strategies to face new and unexpected situations or problems. In this case, some of the students who initially did not solve the problem transformed their way of solving the puzzle after the discussion thus getting it right the next time.