Answer :
A linear function has a graph in the shape of a line
A non-linear function does not have the same value added to or subtracted from the dependent variable
Step-by-step explanation:
A linear function is any function that graphs to a straight line.
So, The shape of linear graph is straight line .
1) A linear function has a graph in the shape of a ____
Answer : C . Line
Thus A linear function has a graph in the shape of a line
A nonlinear function is a function that is not linear. That is, for a fixed change in the independent variable, there is NOT a corresponding fixed change in the dependent variable
Non-linear means the graph is not a straight line. The graph of a non-linear function is a curved line.
2) A non-linear function 2_____ have the same value added to or subtracted from the dependent variable
Answer B : Does not
Thus A non-linear function does not have the same value added to or subtracted from the dependent variable
Which statement justifies that ∠K ≅ ∠N? answers: A) ΔHKL ≅ ΔHMN by ASA; but the two angles aren't congruent because they aren't corresponding angles. B) The two angles aren't congruent. C) ΔHKL ≅ ΔHMN by ASA; ∠K ≅ ∠N because they're corresponding angles in congruent triangles. D) ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.
Answer:
Correct answer is:
D) ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.
Step-by-step explanation:
We are given the diagram, in which there are 2 triangles namely [tex]\triangle HLK, \triangle HMN[/tex].
1. Side KH = Side NH
2. [tex]\angle L \cong \angle M[/tex]
From the given figure, we can derive that:
[tex]\angle KHL \cong \angle NHM[/tex]
Property used: Vertically opposite angels made by two lines crossing each other are equal.
So, we have two angles ([tex]\angle L \cong \angle M[/tex] and [tex]\angle KHL \cong \angle NHM[/tex])of the triangle as same and one side equal from the two given triangles [tex]\triangle HLK, \triangle HMN[/tex].
So, we can say that the two triangles are congruent.
[tex]\triangle HLK \cong \triangle HMN[/tex]
The side is not between the two equal angles, so it is AAS congruence.
And Congruent triangles have their corresponding angles equal.
Therefore, option D) is true :
ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N, because they're corresponding angles in congruent triangles.
Answer:
ΔHLK ≅ ΔHMN by AAS; ∠K ≅ ∠N because they're corresponding angles in congruent triangles.
Step-by-step explanation: I took the test
What is the coefficient of the 2nd term of the following expression when written in standard form:
〖(7+4x)〗^3
Answer:
336
Step-by-step explanation:
Given the expansion: [tex](7+4x)^3[/tex]
[tex](7+4x)^3\\\\=(7+4x)^2*(7+4x)\\\\=(7+4x)(16x^2+56x+49)\\\\=7(16x^2+56x+49)+4x(16x^2+56x+49)\\\\=112x^2+392x+343+64x^3+224x^2+196x\\\\=64x^3+112x^2+224x^2+392x+196x+343\\\\=64x^3+336x^2+588x+343[/tex]
Therefore, the coefficient of the second term is 336.
Explain how the Quotient of Powers Property was used to simplify this expression.
three to the fourth power all over nine equals three squared
By simplifying 9 to 32 to make both powers base three and adding the exponents
By simplifying 9 to 32 to make both powers base three and subtracting the exponents
By finding the quotient of the bases to be one third and simplifying the expression
By finding the quotient of the bases to be one third and cancelling common factors
Answer:
The answer is option 2, by simplifying 9 to 3² to make both powers base 3 and subtracting the exponents.
Step-by-step explanation:
You have to make the expressions into the same base :
[tex] \frac{ {3}^{4} }{9} = \frac{ {3}^{4} }{ {3}^{2} } [/tex]
Next, you have to apply Indices Law :
[tex] {a}^{m} \div {a}^{n} \: ⇒ \: {a}^{m - n} [/tex]
[tex] {3}^{4} \div {3}^{2} [/tex]
[tex] = {3}^{4 - 2} [/tex]
[tex] = {3}^{2} [/tex]
By simplifying 9 to 3² to make both the powers base 3 as well as subtracting the exponents. A further explanation of the given question is below.
According to the question,
The equation will be:
→ [tex]\frac{(3)^4}{9} = \frac{(3)^4}{(3)^2}[/tex]
By applying the Indices law i.e.,
→ [tex]\frac{a^m}{a^n} = a^{m-n}[/tex]
then, we get
→ [tex]\frac{3^4}{3^2}[/tex]
→ [tex]3^{4-2}[/tex]
By subtracting the powers, we get
→ [tex]3^2[/tex]
Thus the above answer i.e., option B) is the correct approach.
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In the given triangle ABC, find DE. answers: 20 5 10 2.5
Answer:
5
Step-by-step explanation:
Let's call the length AD y.
[tex]\dfrac{x+2}{y}=\dfrac{8x-14}{2y} \\\\\\2(x+2)=8x-14 \\\\\\2x+4=8x-14 \\\\\\4=6x-14 \\\\\\6x=18 \\\\\\x=3 \\\\\\DE=x+2=3+2=5[/tex]
Hope this helps!
Which of the lines below is a line of symmetry?
A. Neither
B. Red
C. Yellow
D. Both
Answer:
d, both
Step-by-step explanation:
both separe two identical halves :)
Both yellow and red lines are lines of symmetry to the given figure, Option D is correct.
What is Coordinate System?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
A line of symmetry is the line that divides a shape or an object into two equal and symmetrical parts.
We know that the diameter of a circle is a line passing through its center. So, the diameter acts as a line of symmetry dividing the circle into two parts with equal area.
In the given figure both the lines represents symmetry as both the lines are dividing the figure to two equal parts.
Hence, both yellow and red lines are lines of symmetry to the given figure, Option D is correct.
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Mrs. opsahl drove 399 miles on 14 gallons of gas.how many miles per gallon did her car get
Answer:
28.5 miles per gallon
Step-by-step explanation:
399 divided by 14 gives you the number 28.5
Please help will mark brainliest
Answer:
Klm=(k+1)m -(m+1)k
Klm=km+m -mk-k
Klm=m-k
what is the inverse of the function y=4x+5
Answer:
the answer for this question is (y-5)/4=x
Which of the following is(are) the solution(s) to 8|x-3|=-24
O A. All values are solutions
O B. x= 6,0
C. No Solution
O D. x = 3,0
What’s the vertex of y=1/3(x+2)^2-5
Answer:
vertex is (2,-5)
Step-by-step explanation:
y = a(x – h)^2 + k
the vertex is (h,k) in the equation h =2 and k = -5
-3x^2+6x+9=
WHY JUST WHY !!!! ?
Oh, my, goodness!!!!!! :)
You are cracking me up so much right now!!!!! :)
But, yeah, I hear ya! :)
Answer:
[tex]=-3\left(x+1\right)\left(x-3\right)[/tex]
Step-by-step explanation:
[tex]-3x^2+6x+9\\\mathrm{Factor\:out\:common\:term\:}-3:\quad -3\left(x^2-2x-3\right)\\-3x^2+6x+9\\\mathrm{Rewrite\:}9\mathrm{\:as\:}3\cdot \:3\\\mathrm{Rewrite\:}6\mathrm{\:as\:}3\cdot \:2\\=-3x^2+3\cdot \:2x+3\cdot \:3\\\mathrm{Factor\:out\:common\:term\:}-3\\=-3\left(x^2-2x-3\right)\\\mathrm{Factor}\:x^2-2x-3:\quad \left(x+1\right)\left(x-3\right)\\x^2-2x-3\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(x^2+x\right)+\left(-3x-3\right)[/tex]
[tex]\mathrm{Factor\:out\:}x\mathrm{\:from\:}x^2+x\mathrm{:\quad }x\left(x+1\right)\\x^2+x\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^2=xx\\=xx+x\\\mathrm{Factor\:out\:common\:term\:}x\\=x\left(x+1\right)\\\mathrm{Factor\:out\:}-3\mathrm{\:from\:}-3x-3\mathrm{:\quad }-3\left(x+1\right)\\-3x-3\\\mathrm{Factor\:out\:common\:term\:}-3\\=-3\left(x+1\right)\\=x\left(x+1\right)-3\left(x+1\right)\\\mathrm{Factor\:out\:common\:term\:}x+1\\=\left(x+1\right)\left(x-3\right)[/tex]
[tex]=-3\left(x+1\right)\left(x-3\right)[/tex]
Classify the following triangle based on its shape.
A. Right
B. Isosceles
C. Equilateral
D. Scalene
Please answer this
Answer:
A
Step-by-step explanation
the square in the corner
The shape of the given triangle is right angle.
The square in the corner
We have given that,
A. Right
B. Isosceles
C. Equilateral
D. Scalene
We have to determine the shape of the given triangle.
What is the right angle?
A right angle is an angle of exactly 90 degrees or \pi /2 radians corresponding to a quarter turn. If a ray is placed so that its endpoint is on a line and the adjacent angles are equal, then they are right angles.
The shape of the given triangle is right angle.
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please help me with this
Answer:
3 [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
3/4 + (1/3÷ 1/6 - (-1/2)=
3/4 + 2 - (-1/2)=
2 3/4 - (-1/2)=
3 1/4
hope it helps mark me as brainliest
Check all restrictions on the domain of g circle h. x not-equals 0 x not-equals negative 2 x not-equals negative two-thirds There are no restrictions.
Answer: the answer is C
Step-by-step explanation:
Answer:
Step-by-step explanation:
x = -2/3
I do t o wish she sksnheisnmakakabs nsjd
Answer:
x=-12
Step-by-step explanation:
(-22 + 3x) /( 3x+7) =2
Multiply each side of the equation by 3x+7
-22+3x = 2(3x+7)
Then distribute
-22 +3x = 6x+14
Subtract 3x from each side
-22 = 3x+14
Subtract 14 from each side
-36 = 3x
Divide by 3
-12 =x
Which is a zero of the quadratic function f(x) = 9x2 - 54x – 19?
x= 1/3
x=3 1/3
Answer:
x =1/3
Step-by-step explanation:
the zero quadratic function is x=1/3
For the following fraction ,tell whether you will add ,subtract, or multiply the exponents
Answer:
Add the exponents
Step-by-step explanation:
Product Rule: am ∙ an = am + n, this says that to multiply two exponents with the same base, you keep the base and add the powers.
EX:
x multiplied by x^5=x^6
Answer:
We add them
But for negative values we always keep the negative value as a decrease.
4 x -4 as powers still becomes -8
and not -16
Step-by-step explanation:
The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. In this example, you can see how it works. Adding the exponents is just a short cut! The "power rule" tells us that to raise a power to a power, just multiply the exponents.
2^4 x 3^-4 = 16/81 shows and proves we multiply them and just use adding as a short cut.
The area of this parallelogram is 120 mm2. Find the value of x. 9 mm 12 mm 15 mm 6 mm
Answer:
[tex]x=12\:mm[/tex]
Step-by-step explanation:
[tex]A=bh[/tex]
[tex]b \times h=120[/tex]
[tex]b \times 10=120[/tex]
[tex]b=120 \div 10[/tex]
[tex]b=12[/tex]
Use the distributive property to write the following expression without parentheses.
-6(3-m+n)
________________________________
Hey!!
Solution,
-6(3-m+n)
= -18+6m-6n
= 6m-6n-18
hope it helps....
Good luck on your assignment
______________________________
Answer:
[tex]= 6m + 6n - 18 \\ [/tex]
Step-by-step explanation:
[tex] - 6(3 - m + n) \\ = - 18 + 6m + 6n \\ = 6m + 6n - 18[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Factor 4x2 - 16 using difference of two squares.
Answer:
4(x+2)(x-2)
Step-by-step explanation:
4x^2-16
4(x^2-4)
4(x+2)(x-2)
The difference of two squares formula is (a+b)(a-b), and it happens only when a^2 is minus b^2
Which equation describes the locus of points 5 units from points (3, -4)?
A) (x+3)^2 + (y-4)^2=5
B) (x-3)^2 + (y+4)^2=5
C) (x-3)^2 + (y+4)^2=25
D) (x+3)^2 + (y-4)^2=25
***YOU DON'T HAVE TO EXPLAIN***
Answer:
I think the D number is correct(squaring on both side)
Phone’s Plus charges a connection fee of 35 cents and 3 cents per minute. Fabulous Phones charges a connection fee of 45 cents and 2 cents per minute. Which equation could be used to determine the number of minutes, x, when a phone call would cost the same at both companies?
A. 0.35+0.3x=0.45+0.2x
B. 0.35+0.03x=0.45+0.02x
C. 35+0.03x=45+0.2x
D. 35+0.03x=45+0.02x
Answer:
B. 0.35 + 0.03x = 0.45 + 0.02x
Step-by-step explanation:
I don't really know how to explain it, but it is correct.
Kevin says these number lines show 7/8 is equivalent to 4/5. Is Kevin correct?
Yes, Kevin is correct
Why is sexual reproduction citical in the process of evolution
Answer:
sexual reproduction provides evolutionary advantages to organisms that employ this mechanism to produce offspring.
Step-by-step explanation:
Answer: it creates birth
Step-by-step explanation: can i have brainliest
What is the value of x in the equation 8 + 4 = 2 (x minus 1)? 5 StartFraction 11 Over 2 EndFraction StartFraction 13 Over 2 EndFraction 7
Answer:
7
Step-by-step explanation:
We can simplify the equation to
12 = 2x - 2
Add 2 to both sides
14 = 2x
Divide by 2
x = 7
Answer:
7
Step-by-step explanation:
951/3 i dont under stand
Answer:
317 IS THE ANSWER
Step-by-step explanation:
The right answer is 317
please see the attached picture for full solution.
hope it helps
good luck on your assignment
Which ordered pair is a solution to the system?
x>4
y≥2
A. (0, 0)
B. (–2, 7)
C. (5, 6)
D. (–4, –1)
Answer:
B
Step-by-step explanation:
Answer:
C. (5, 6)
Step-by-step explanation:
Got it correct on test :)))
Is my answer correct?
Answer:
No
Step-by-step explanation:
It should be -8 degrees because 5x4=20 and 12-20=-8
What is 5 2/3 divided by 3 1/9?? PLEASE HELP!!! D:
Answer:1 23/28
Step-by-step explanation:
17/3/3 1/9
17/3/28/9
51/28
1 23/28
-5/6+2/6=
What is the answer to this?
Step-by-step explanation:
Since they have a common denominator the answer is (-5 + 2) / 6 = -3 / 6 = -1/2.
Answer:
-1/2
Step-by-step explanation:
2/6-5/6=
(-(5-2))/6=
-3/6:
-3/3=-1
6/3=2
-3/6=-1/2