Find the area of the triangle below.

Look at the attached picture ⤴

Hope it will help u...

Answer:

x = -3

(-3,7)

Step-by-step explanation:

y = –3x – 2,

y = 7

We know the value of y, y=7

Substitute into the first equation

7 = –3x – 2

Add 2 to each side

7+2 =  –3x – 2+2

9 = -3x

Divide each side by -3

9/-3 = -3x/-3

-3 = x

Final answer:

The value of x is -3, and the solution to the system of equations is the point (-3, 7), which satisfies both equations y =
–3x – 2 and y = 7.

Explanation:

To find the value of x when given the system of equations y =
–3x – 2, and y = 7, we can substitute the second equation into the first. This gives us 7 = –3x – 2. Adding 2 to both sides yields 9 = –3x, and then dividing both sides by -3 gives us x = -3. Hence, the value of x in this system of equations is -3.

The solution to the system of equations is the pair (x, y) that satisfies both equations simultaneously. Substituting x = -3 into one of the original equations, we get y = 7. Thus, the solution to the system is the point (-3, 7).

Answer:

33/100 =.33

Step-by-step explanation:

Answer:

0.33

Step-by-step explanation:

The percentage of the Cincinnati Reds would be 33/100 which would be 33%. 33% as a decimal is 0.33.

Answer:

8

Step-by-step explanation:

it's 8 because the sides facing each other equal

Answer:

x = 6

Step-by-step explanation:

In triangle ABC, BD is the bisector of angle ABD.

Therefore by angle bisector property:

[tex] \frac{x}{8} = \frac{3}{4} \\ x = \frac{8 \times 3}{4} \\ x = 2 \times 3 \\ \huge \red{ \boxed{ x = 6}}[/tex]

Explicit Geometric Formula for sequence: 16,8,4

an = a1 (0.5)^n-1

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

The nth term of a geometric sequence is given as,

= a[tex]r^{n-1}[/tex]

a = 16

r = 1/2

The explicit formula for the nth term of the sequence 16, 8, 4 is

16 [tex](1/2)^{n-1}[/tex]

A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.

Example:

4, 8, 18, 32 is a geometric sequence.

We have,

16, 8, 4

This is a geometric sequence.

The first term is 16.

a = 16

The common ratio.

= 8/16

r = 1/2

Now,

The nth term of a geometric sequence is given as,

= a[tex]r^{n-1}[/tex]

= 16 [tex](1/2)^{n-1}[/tex]

Thus,

The explicit formula for the nth term of the sequence 16, 8, 4 is

16 [tex](1/2)^{n-1}[/tex]

Learn more about geometric sequence here:

https://brainly.com/question/2321576

#SPJ5

Answer: The perimeter of rectangle is [tex]1.58\times 10^6[/tex]

Step-by-step explanation:

Given: Area of rectangle = [tex]1.45 \times 10^{11}[/tex]

Width of rectangle = [tex]2.9 \times 10^{5}[/tex]

As we know area of a rectangle is given by

[tex]Area = Length \times Breadth[/tex]

So we have

[tex]1.45 \times 10^{11}= Length \times 2.9 \times 10^{5}\\\\\Rightarrow Length = \dfrac{1.45 \times 10^{11}}{2.9 \times 10^{5}} \\\\\Rightarrow Length = 0.5 \times 10^6 = 5 \times 10 ^5[/tex]

Now as we know

[tex]Perimeter = 2(Length +breadth)\\\\\[/tex]

Length = [tex]5 \times 10^5[/tex]

Breadth  = [tex]2.9 \times 10^{5}[/tex]

Therefore

[tex]Perimeter = 2(5 \times 10^5+ 2.9 \times 10^5)\\\\\Rightarrow Perimeter = 2\times 10^5(5+2.9)\\\\\Rightarrow Perimeter = 15.8 \times 10^5 = 1.58 \times 10^6[/tex]

Hence,the perimeter of rectangle is [tex]1.58\times 10^6[/tex]

Answer:

1.58*10^6

Step-by-step explanation:

Answer:

when i simplified it on paper i got this but it has no solution

2(5/6)=27/6=-25=-5/6=1/6

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

first you multiply 100 times 15

then once you do that you divide that by 25

that should give you an answer

Answer: [tex]\frac{60}{100}[/tex]

Step-by-step explanation: I got the answer by turning [tex]\frac{15}{25}[/tex] into a decimal.

15 divided 25 will equal 0.6

0.6 x 100 = 60

Now we know it's  [tex]\frac{60}{100}[/tex]

I hope this helps!

Answer:

C

Step-by-step explanation:

just did the math ツ

Answer:

679.

Step-by-step explanation:

There is either a 1, 4 or 7 in the number.

From the second guess, 189, 1 cannot be in the number , either 8 or 9 are in right place. Also 4 or 7 are in the number.

9 6 4: 9 may be in the number, also 4 or 6.

No 2,3 or 5.

2 8 6  this tells us there is no 8 ,  and 9 is the last digit.

As there is no 2 there must be a 6 in the number

So the number contains a 9 and a 6.

The third number is either a 4 or a 7, but from the  964 result it cannot be a 4 because 6 is included.

So it either 679 or 769.

But 964 had 6  in the wrong place  so the number is 679.

I think the answer is 679 because you every numbers make sense except for 679.

-Dhruva;)

Answer:

C. Choosing test numbers to the left and right of each of the function's zeros and finding the value of the function at each test number

Step-by-step explanation:

Rational function: In mathematics, the term "rational function" is determined as any specific function that can be described through any "rational fraction", in other words, an algebraic fraction, involving both the denominator and the numerator are considered as polynomials. Therefore, the coefficients of specific polynomials are ought not to be in rational numbers and can be considered in the K field.

In the question above, the given statement represents option C is correct.

Final answer:

The second step in sketching the graph of a rational function involves identifying and plotting the function's zeros and vertical asymptotes on a number line.

Explanation:

The second step in sketching the graph of a rational function is (D) Finding the function's zeros and vertical asymptotes and plotting them on a number line. This step is crucial before sketching the graph because it gives an initial outline of where the function will not be defined (vertical asymptotes) and where it crosses the x-axis (zeros of the function). After identifying these critical points, one can choose appropriate test numbers around each zero and asymptote to determine the behavior of the function in those regions, which can later aid in sketching the graph with more accuracy.

Answer:

D- All the residents of the city.

Step-by-step explanation:

Answer:

D. All residents of the city.

Step-by-step explanation:

Answer:

x = 7

LP = 6

Step-by-step explanation:

JK = 12

LK = 12

NS = 8

PS = 2x - 6

radius bisects the chords JK and LK  because it is perpendicular to them.

JK = JN + NK = 6 + 6 = 12

LK = LP + PK = 6 + 6 = 12

LP = 6

radius= root(6^2 + 8^2) = 10  then  PS = 8 = 2x -6,

8 = 2x - 6

14 = 2x

x = 7

Answer:

(Approximately)

Step-by-step explanation:

The mean absolute deviation (MAD) is defined as

[tex]MAD=\frac{\Sigma |x_{i}-\mu| }{N}[/tex]

Where [tex]\mu[/tex] is the means and [tex]N[/tex] is the total number of elements.

First, we need to find the mean:

[tex]\mu = \frac{\Sigma x_{i} }{N} =\frac{18+12+15+10+13+20+16+12+18+6}{10}= \frac{140}{10}\\ \mu=14[/tex]

Then, we calculate the difference between each value and the mean, from that difference, we are gonna use the absolute value.

18 - 14 = |4|

12 - 14 = |-2|

15 - 14 = |-1|

10 - 14 = |-4|

13 - 14 = |-1|

20 - 14 = |6|

16 - 14 = |2|

12 - 14 = |-2|

18 - 14 = |4|

6 - 14 = |-8|

Now, we sum all terms and divide them by the total number of elements, which are 14.

[tex]MAD=\frac{4+2+1+4+1+6+2+2+4+8}{14}= \frac{34}{14}\\ MAD \approx 2.4[/tex]

Therefore, the absolute deviation is about 2 points. The right answer is B.

Answer:

The answers are;

AB = 15 cm, BC = 20 cm, ∠B = 40° no

AB = 15 cm, AC = 20 cm, ∠C = 40° yes

BC = 5 cm, BA = 10 cm, ∠A = 40° yes

AC = 5 cm, BC = 10 cm, AB = 14 cm no

Step-by-step explanation:

Here we have that

1. in ΔABC, sides AB = BA and BC as well as ∠B are known hence the two sides and the included angle of the triangle are known, hence the triangle is well defined, hence there is only one way to draw the triangle.

Therefore, the answer is No

2. in ΔABC, sides AB and AC as well as ∠C which is ∡ACB are known hence since the included angle ∠A of the triangle is not known, the triangle is not well defined, that is there are more than one way to draw the triangle.

Therefore, the answer is Yes

3. Similarly in ΔABC, sides BC and AB as well as ∠A which is ∡CAB are known hence since the required included angle ∠B of the triangle is not known, the triangle is not well defined, that is there are more than one way to draw the triangle.

Therefore, the answer is Yes

4. in ΔABC, sides AC and BC and AB are known, hence, ∠A, ∠B, and ∠C cn be found which indicates that the triangle is well defined, that is only one way to draw the triangle.

Therefore, the answer is No.

We have been an equation in polar coordinates [tex]r=10\text{sin}(\theta)[/tex]. We are asked to write our equation in rectangular coordinates.  

We know that the equation [tex]r=2b\text{sin}(\theta)[/tex] is equation of a circle with a radius [tex]|b|[/tex] and center at [tex](0,b)[/tex].

Let us find the value of b.

[tex]2b\text{sin}(\theta)=10\text{sin}(\theta)[/tex]

[tex]\frac{2b\text{sin}(\theta)}{2\text{sin}(\theta)}=\frac{10\text{sin}(\theta)}{2\text{sin}(\theta)}[/tex]

[tex]b=5[/tex]

We know that equation of a circle in rectangular coordinates is [tex](x-h)^2+(y-k)^2=r^2[/tex]

Since [tex]b=5[/tex], so radius is 5 and center is at point (0,5).

[tex](x-0)^2+(y-5)^2=5^2[/tex]

[tex]x^2+(y-5)^2=25[/tex]

Therefore, our required equation would be [tex]x^2+(y-5)^2=25[/tex].

Answer:

x^2+y^2=10y

Step-by-step explanation:

d on edg

Answer:

D or 88 degrees

Step-by-step explanation:

Just took the test

Answer:

Step-by-step explanation:

the first one

the second one

the third one

the last one

Answer: x = 3

Step-by-step explanation: This might not be the correct way to find the answer, but I hope this helps.

We have to try to figure out what (x) is...

6(4+1)+1 = 31 because 6 x 5 is 30 and + 1 is 31

6(5+1)+1 = 36 because 6 x 6 is 36 and + 1 is 37

6(2+1)+1 = 19 because 6 x 3 = 18 and + 1 is 19

All of these equations are wrong, none of them equal 25 besides...

6(3+1)+1

3+1=4

6x4=24

24+1

25

Have a good day :D

Answer:

y= [tex]\frac{-1}{4}[/tex]x+3

Step-by-step explanation:

To write an equation for a line, we will first need to find the slope of the graph. This can be done by using the slope formula:

m= [tex]\frac{y_{2-y_{1}} }{x_{2}-x_{1}}[/tex]

Now, we can plug these points in this equation.

m= [tex]\frac{2-3}{4-0}[/tex] --> m= [tex]\frac{-1}{4}[/tex] .

Since we have derived the slope, we can simply use one of the points listed to solve for our other values by plugging them into the line formula:

y= mx+b

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

2= [tex]\frac{-1}{4}[/tex](4)+b

2=-1+b

3= b

Therefore, the equation we get is:

y= -[tex]\frac{-1}{4}[/tex]x+3

Answer:

Ebru has a standard deck of cards. The deck has 52 total cards and contains 4 suits: hearts, clubs, diamonds, and

spades. Each suit contains cards numbered 2 – 10, a jack, a queen, a king, and an ace.

Ebru randomly selects a card. Let A be the event that the card is a 2 and B be the event that it is a spade.

Which of the following statements are true?

Choose all answers that apply:

P(A B ) = P(A), the conditional probability that Ebru selects a 2 given that she has chosen a

spade is equal to the probability that Ebru selects a 2.

PB A) = P(B), the conditional probability that Ebru selects a spade given that she has

chosen a 2 is equal to the probability that Ebru selects a spade.

Step-by-step explanation:

Ebru has a standard deck of cards. The deck has 52 total cards and contains 4 suits: hearts, clubs, diamonds, and

spades. Each suit contains cards numbered 2 – 10, a jack, a queen, a king, and an ace.

Ebru randomly selects a card. Let A be the event that the card is a 2 and B be the event that it is a spade.

Which of the following statements are true?

Choose all answers that apply:

P(A B ) = P(A), the conditional probability that Ebru selects a 2 given that she has chosen a

spade is equal to the probability that Ebru selects a 2.

PB A) = P(B), the conditional probability that Ebru selects a spade given that she has

chosen a 2 is equal to the probability that Ebru selects a spade.

Answers:

In photo below

Explanation:

I got it correct in my test :)

Answer:

D.

Step-by-step explanation:

Firstly, we must look at the absolute value symbol. This means that if d is positive, it must be a number greater than 3. If d is negative, the number must be less than -3 (for the absolute value to be greater than 3.)

This results in A and D being possible solutions. HOWEVER, we must look at the ">" symbol.

Notice how the symbol solely represents "Greater than", and not "Greater than OR equal to".

This means that the number line must have OPEN circles at -3 and 3. This will give you solution D.

Answer:

2

Step-by-step explanation:

Because 8x4 is 32 and 32x2 is 64 so it’s 2

Answer:

D

Step-by-step explanation:

Since the line segment inside the triangle is parallel to the side of the triangle and intersects 2 sides then it divides those sides in proportion, that is

[tex]\frac{63}{45}[/tex] = [tex]\frac{x}{55}[/tex] ( cross- multiply )

45x = 3465 ( divide both sides by 45 )

x = 77 → D

Answer:

Step-by-step explanation:

Angle d is 62 degrees

Angle is 27 degrees

Angle h is 118 degrees

Answer:

(4 x 6), 24+24, 48

Step-by-step explanation:

It has to equal 48 so you put 4 in the parenthesis.

Answer:

The slope is 0

Step-by-step explanation:

Try graphing it for a better way to see it. If it passess through (1,14) and (2,14), the line is going horizontally, so it has no slope. I hope this helps.