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Answer:

acute

Step-by-step explanation:

Given the 3 sides of a triangle a, b, c ( where c is the longest )

• If a² + b² = c² ⇒ right triangle

• If a² + b² > c² ⇒ acute angled triangle

• If a² + b² < c² ⇒ obtuse angled triangle

Here a = [tex]\sqrt{11}[/tex], b = [tex]\sqrt{7}[/tex] , c = 4

c² = 4² = 16

a² + b² = ([tex]\sqrt{11}[/tex] )² + ([tex]\sqrt{7}[/tex] )² = 11 + 7 = 18

Since a² + b² > c² then triangle is acute

9514 1404 393

Answer:

  (b)  6(a+1)

Step-by-step explanation:

Common factors are cancelled from numerator and denominator.

  [tex]\displaystyle\frac{a^2-2a+1}{6}\div(a^2-1)=\frac{(a-1)^2}{6}\cdot\frac{1}{(a-1)(a+1)}\\\\=\frac{(a-1)(a-1)}{6(a-1)(a+1)}=\boxed{\frac{a-1}{6(a+1)}}[/tex]

The denominator of the result is 6(a+1).

Answer:

we have

(x,y). rotation through 90° anti-

clockwise about the origin(-y,x)

point (−8, 4) when rotated through 90° anti-

clockwise about the origin(-4,-8)

Option.i. (−4, −8)

[tex]{\huge\fbox\pink{Q}\fbox\blue{u}\fbox\purple{E}\fbox\green{s}\fbox\red{T}\fbox\orange{i}\fbox{O}\fbox\gray{n}}[/tex]

[tex]{\huge\fbox\blue{A}\fbox\purple{n}\fbox\green{S}\fbox\red{w}\fbox\orange{E}\fbox{r}}[/tex]

Step-by-step explanation:

In the given point(-8,4)

we have to rotate it up to 90° in anti clockwise about its origin

so,

(x,y)=(-y,x)

Hence,

The new position of the point (−8, 4) when rotated through 90° anti-clockwise about the origin is (-4,-8)

Answer: hello your question is incomplete attached below is the complete question

Answer : g(x),  j(x),  k(x), f(x), m(x), h(x)

Step-by-step explanation:

The Arrangement of the functions in ascending order ( i.e. starting from the least to the Highest ) is based on the definition of the denominator for all the real values of x and the continuation of the function on the set of real numbers.

when resolving the given functions input the value of x = 5 into the given function to determine the above conditions

g(x) ; has its denominator defined for all real values of x , hence the function g(x) is continuous on the set of real numbers

Answer:

18.8

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

tan 53° = 12/x

x = 12/tan 53°

x = 9.04

Answer:

14

Step-by-step explanation:

Answer:

well  its not c so...

Step-by-step explanation:

that'll leave you w 3 others to choose from. sorry.

The series diverges because it does not have a sum option, fourth is correct.

A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums get closer and closer to a certain number.

We have an infinite series:

[tex]\rm \sum ^{\infty}_{n=1}\dfrac{3}{4}(2)^n[/tex]

[tex]\rm \sum ^{\infty}_{n=1}3(2)^{n-2}[/tex]

The above series is geometric series with first term 2 and the common ratio is 2.

Here 2>1

By the ratio test, the series is divergent.

Since the common ratio is greater than 1 the sum will be infinite.

Thus, the series diverges because it does not have a sum option, fourth is correct.

Learn more about the convergent of a series here:

brainly.com/question/15415793

#SPJ2

Answer:

85

Step-by-step explanation:

Answer:

its 85

Step-by-step explanation:

Hi there!

»»————-　★　————-««

I believe your answer is:  

X - Intercept: (-9, 0)

Y - Intercept: (0, -6)

»»————-　★　————-««

Here’s why:

The x and y-intercepts of a line is where a given function intercepts the x or y axes.

I have graphed the equation given on a program. The graph shows that the line passes through the points (0, -6) and (-9, 0).

Therefore:

[tex]\rightarrow\text{The x-intercept of the given equation is }\boxed{\text{(-9,0)}}.\\\\\rightarrow\text{The y-intercept of the given equation is }\boxed{\text{(0,-6)}}.[/tex]

See the graph attached below!

»»————-　★　————-««

Another way to solve this problem is to do this algebraically.

[tex]\text{X-Intercept: Substitute the 'y' variable for zero and solve for 'x'.}\\\\2x + 3y = -18\\-------\\\rightarrow2x+3(0)=-18\\\\\rightarrow2x=-18\\\\\rightarrow\frac{2x=-18}{2}\\\\\rightarrow\boxed{x=-9}\\-------\\\boxed{\text{X-Intercept: (-9,0)}}[/tex]

----------------------------

[tex]\text{Y-Intercept: Substitute the 'x' variable for zero and solve for 'y'.}\\\\2x+3y=-18\\\-------\\\rightarrow2(0)+3y=-18\\\\\rightarrow3y=-18\\\\\rightarrow\frac{3y=-18}{3} \\\\\rightarrow\boxed{y=-6}\\\-----\\\\\boxed{\text{Y-Intercept: (0,-6)}}[/tex]

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.  

Answer:

Step-by-step explanation:

- 15, -3, -1, 0 , 1, 5

Answer:

-15,-3,-1,0,1,5

Step-by-step explanation:

Answer:

y = -5/4x + 3

Step-by-step explanation:

Answer:

Option 4

Step-by-step explanation:

[tex]\left( \frac{3x+5}{y^6}\right)\left(\frac{4y^3}{5}\right) = \frac{(3x+5)(4y^3)}{5y^6} = \frac{12xy^3 + 20 y^3}{5y^6} = \frac{12x + 20}{5y^3}[/tex]

Answer:

2.5 years

Step-by-step explanation:

Formula for simple interest:

t = I / Pr

t = length of time

I = simple interest

P = initial amount

r = interest rate

Answer:

yoi

Step-by-step explanation:

yoi

Answer:

I feel like its 8, but correct me if I'm wrong I'm not 100 percent sure!

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

(0, 10)

-----------------

Answer:

The first answer is correct.

Step-by-step explanation:

If we were to plot the numbers of the first one, we would see that they match up to the plot that is given.

Hope that this helps!

Answer:

<BFC and <DCA

Step-by-step explanation:

Vertical angles are the opposite angles created by intersecting lines and are congruent. Vertical angles share only a vertex

Answer: 1,000 cm^3

Step-by-step explanation:

Volume of cube= bhw

All sides of a cube are equivalent so 10^3= 1000

Answer:

Step-by-step explanation:

what's the question exactly?

Answer:

there's no question we don't understand

Answer:

The 2nd one is related to the climate

Step-by-step explanation:

HaVe An AmAzInG DaY

Answer:

Option B, the y-intercept changes

Explanation:

This is because, the y-intercept is located on the y-axis, which is the vertical axis, moving the graph up and down would mean moving it vertically, therefore this would result in the change of the y-intercept.

Hope this helps!

Answer:

true oi have to add extra words beacuse I can't submit if it's only one word

Answer:

true, all quadrilaterals have at least 1 line of symmetry :)

Step-by-step explanation:

hope this helps, have a great day :)

Answer:

1 : 4

Step-by-step explanation:

Answer:

[tex]a_n_+_1 = a_n + 6[/tex]

Step-by-step explanation:

Recursive equations use the previous term as a base for the next. Because of this, the left side of the equation needs to be a representation of the next term. The right side of the equation consists of the current term plus, minus, times, or divided by a certain number. Therefore, your answer here is [tex]a_n_+_1 = a_n + 6[/tex].

Answer:

D

Step-by-step explanation:

Answer:

6ft squared so A.

Step-by-step explanation: