How many distinct triangles can be drawn using three of the dots below as vertices?

Answer:

....................trapezium

Answer:

trapezoid or trapezium

Step-by-step explanation:

Answer:

-47

Step-by-step explanation:

Step 1: Factor GCF

-6(x² - 6x - 36) = 0

Step 2: Divide by -6 on both sides

x² - 6x - 36 = 0

Step 3: Isolate x's

x² - 6x = 36

Step 4: Complete the Square

x² - 6x + 9 = 36 + 9

(x - 3)² = 45

Step 5: Move everything to one side

(x - 3)² - 45 = 0

So, a = 1, b = -3, c = -45

1 - 3 - 45 = -47

Answer:

Domain: all real numbers

Range: all real numbers

Step-by-step explanation:

There is no restriction on the variable x, so the domain is all reals.

Similarly, the range is all reals as the graph of this function is a line that is neither vertical nor horizontal.

Answer:

D

Step-by-step explanation:

Replace by the coordinates

3*3 -1>1

Answer:

D. (3,1)

Step-by-step explanation:

Plug the X and Y values into the expression y<3x-4

Substitute 3 for X and 1 for Y and simplify

y < 3x - 4

1 < 3(3) - 4

1< 9 - 4

1< 5

In this case 1 is less than 5, that is a correct statement, so your answer is C.

Answer:

No

Step-by-step explanation:

Reduce each fraction to find if they are equal to the same ratio.

2/4 reduces to 1/2

14/20 reduces to 7/10

They do not form a proportion.

Answer:

No

Step-by-step explanation:

 2/4 reduced is 1/2

14/20 reduced is 7/10

1/2 is not equal to 7/10

Answer:

y=14/5, x=29/5

Step-by-step explanation:

Answer:  θ = 48.2°

Step-by-step explanation:

The left side of the given triangle is a right triangle with base (adjacent to θ) = 2 and hypotenuse = 3

[tex]\cos \theta = \dfrac{adjacent}{hypotenuse}\\\\\\\cos \theta=\dfrac{2}{3}\\\\\\\theta =\cos^{-1}\bigg(\dfrac{2}{3}\bigg)\\\\\\\theta = 48.1896[/tex]

rounded to three significant digits = 48.2°

The measure of angle theta is 48.2 degrees.

In a right angled triangle, the cosine of an angle is the length of the adjacent side divided by the length of the hypotenuse.

According to the given question

We have a right triangle

Let the be ABC in which ∠ACE = θ

And,  AE is a perpendicular bisector so CE = 4/2

Now in right angled triangle ACE, the cosine of θ is given by

cosθ = length of the adjacent side/ hypotenuse

⇒ cosθ = [tex]\frac{CE}{AC}[/tex]

⇒cosθ = [tex]\frac{2}{3}[/tex]

⇒ θ = [tex]cos^{-1}( \frac{2}{3} )[/tex]

⇒ θ = 48.2 degrees

Hence, the measure of angle theta is 48.2 degrees.

Learn more about cosine of an angle here:

https://brainly.com/question/9932656

#SPJ2

Answer:

Harry earns 26 and Hamish earns 20

Step-by-step explanation:

The computation of the amount earned by each one of them is shown below:

Let us assume the hairy be Y

And, the Hamish be M

It is given that Harry earns a dollar i.e more than 5/4

And, it is $2 less than  7/5

So, the equation would be

y = 1.25m + 1  ...........................(i)

And,

y= 1.4m -2  .............................(ii)

Now equal both the equations

1.25m + 1 = 1.4m - 2

3 = 0.15m

So, m = 20

Now put the values of m in any of the above equation to find out the value of Y

Y = 1.25m + 1

= 1.25 (20) + 1

= 26

Answer:

1 to 4 (1:4)

Step-by-step explanation:

every 1 mile to every 4 miles

car A 1 mile to car B 4 miles

Answer:

whats the question?

Step-by-step explanation:

To prove that Triangles PQR and TSR are similar triangles, the following are the complete two-column proof stating the statements with their reasons:

S1: QR is perpendicular to PT

R1: Given

S2: <QRP and <SRT are right angles

R2: Definition of perpendicular

S3: <QPR = <STR

R3: Given

S4: <QRP = <SRT

R4: All right angles are congruent

S5: Triangle PQR is similar to triangle TSR

R5: AA Similarity Theorem

Therefore, to prove that Triangles PQR and TSR are similar triangles, the following are the complete two-column proof statimg the statements with their reasons:

S1: QR is perpendicular to PT

R1: Given

S2: <QRP and <SRT are right angles

R2: Definition of perpendicular

S3: <QPR = <STR

R3: Given

S4: <QRP = <SRT

R4: All right angles are congruent

S5: Triangle PQR is similar to triangle TSR

R5: AA Similarity Theorem

Learn more about AA Similarity Theorem on:

https://brainly.com/question/2166570

Answer:

Step-by-step explanation:

=======================================================

Work Shown:

5 digits = 1 second

50 digits = 10 seconds (multiply both sides by 10)

At the end of 10 seconds, he has written 50 digits.

The first 9 digits (1 through 9) are single digits. After writing them, Steve has 50-9 = 41 digits left.

41/2 = 20 remainder 1. So this means that he wrote 20 additional two-digit numbers after that 1 through 9 block of single digit numbers. Those two-digit numbers are 10 through 29. The last digit he writes is 3

So the last two digits he wrote was 9 and 3

Add them up get 9+3 = 12

Answer:

12.

Step-by-step explanation:

If he writes 5 digits a second, then in 10 seconds he will write 50 digits:

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 3

9 + 3 = 12

Hope this help!

Answer:

g= 4

Step-by-step explanation:

first, you want to subtract 36 from both sides of the equation to get rid of that and the plus sign, and get 6g by itself so that would be -6g=-24. then, you want to divide -6 from both sides, so you get g=4 as your answer. and I promise you that it's not so hard once you get the hang of it.

Answer:

G=4

Hint: Isolate terms with G to the left hand side

Subtract 36 from both sides:

(36-36) -6g = 12-36

Hint: Look for the difference of 2 identical terms.

-6g = -24

Divide by -6 on both sides:

-6g/-6 = -24/-6

g = 4

Hope this helps!

I don't even understand why math is a thing lol

Answer:

[Distance to the Horizon]^2 =Height of the skydiver x Diameter of the Earth

D^2 = 1.4 x 7918

D^2 = 11,085.2

D = Sqrt(11,085.2)

D = ~ 105.28628......miles - Distance to Horizon.

Step-by-step explanation:

Answer:

284.4 I took the test ;)

Answer:

Solution,

[tex]3( - 2a - 4) + 3a \\ = 3 \times ( - 2a) - 3 \times 4 + 3a \\ = - 6a - 12 + 3a \\ = - 6a + 3a - 12 \\ = - 3a - 12 \\ = - 3(a + 4)[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

-3(a+4)

Step-by-step explanation:

Answer:

I think that her taking the skateboard is 4 times as fast as her walking.

Step-by-step explanation:

I got this because she traveled twice as long and twice as fast on the skateboard, so if you multiply it together, there u have it.

Answer: 51/8 inches

Step-by-step explanation:

Since you must cut down the length of copper tubbing from 15 1/8 inches to 8 3/4 inches, the leftover piece will be:

15 1/8 - 8 3/4

Change the mixed fraction to improper fraction.

121/8 - 35/4

The LCM will be 8

( 121 - 70 )/8

51/8 or 6.375 inches

Therefore, the leftover piece will be 51/8 inches long

Answer:

y= 0.74x

0.74 (1500) = 1,110 euros

Step-by-step explanation:

Hi, to answer this question we have to write an equation with the information given:

Since: 1 US dollar = 0.74 Euros

To convert x US dollars to Euros we have to multiply it by 0.74:

y= 0.74x

Where:

y = value in EUROS

x = value in US dollars

For 1500:

y = 0.74 (1500) = 1,110 euros

Feel free to ask for more if needed or if you did not understand something.

Answer:

k = 2

Step-by-step explanation:

Given the equations:

g(x) = 3x² + 8x + k

f(x) = 2x - 1

At the intersection point:

g(x) = f(x)

3x² + 8x + k = 2x - 1

3x² + 6x + (k+1) = 0

If there is only one intersection point, the discriminant must be equal to zero:

b² - 4(a)(c) = 0

6² - 4(3)(k+1) = 0

36 - 12(k+1) = 0

36 - 12k - 12 = 0

24 = 12k

24/12 = k

2 = k

Answer:

The answer is given below

Step-by-step explanation:

Given that:

Point A = (-4,3) and point B = (2,3)

Since Point C is a reflection of  point B across the x-axis, point C has the same x coordinate as point B but the value of the y coordinate is the opposite sign. Therefore the coordinate of point C is (2,-3). The distance between AB is given as:

[tex]AB=\sqrt{(3-3)^2+(2-(-4))^2}=\sqrt{6^2}=6\ units\\BC=\sqrt{(-3-3)^2+(2-2)^2}=\sqrt{6^2}=6\ units\\[/tex]

The height of the triangle is BC and the base is AB. The area of triangle ABC is given as:

Area = 1/2 × base × height = 1/2 × 6 × 6 = 18 unit²

Answer:

Domain:(negative infinity, positive infinity)

Range:bracket 0, positive infinity)

Step-by-step explanation:

Answer:

-2a+b

Step-by-step explanation:

Answer:

solution,

[tex](a + 2b) - (3a + b) \\ = a + 2b - 3a - b[/tex]

Collect like terms

[tex] = a - 3a + 2b - b \\ [/tex]

Simplify:

[tex] - 2a + b[/tex]

Hope this helps..

good luck on your assignment....

Answer:

Step-by-step explanation:

Plot the point (4, 0) (the x-intercept) and then the point (0, -3) (the y-intercept).  Draw a straight line through these two points.

Answer:

15...?

Step-by-step explanation: Sorry if I got this incorrect...

Alex 15 arrows hit a target in all.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

Alex's first 10 all hit the target and earned him 20 more.

Now he has 20 and has used 10.

His next 5 hit the target and earned him 10 more.

He now has 25 (20–5+10) and has used 15.

All of the remaining 25 miss the target.

Alex had used a total of 40 arrows (25+15) and has hit the target 15 times.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ5

Answer: 7.65 ft3

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Volume of a triangular prism = base area x height

Since:

Area of a triangle (base) = side length x height  

Replacing with the values given:

A= (2 x 1.7 )/2 = 1.7 ft2

Back with the volume formula:

V = base area x height

Replacing with the values given:

V=1.7 x 4.5 =7.65 ft3

Answer:

The answer that you are looking for is basically y = 7/6x + any number besides 4.

Step-by-step explanation:

So, two parallel lines are two lines that will never intersect. To have that, both of the lines have to have the same exact slope. But they cannot have the same y-intercept because that would change it from parallel to infinite solutions.

I hope that I helped.

Answer:

y = 7/6x + any number but not 4

ERROR

Answer:

answer is 45 if helped please give 5 star

Answer:

12x^3 -28x^2 -21x +30

Step-by-step explanation:

1) Distribute!

(6x-5)(2x^2-3x-6) = 12x^3 -18x^2 - 36x -10x^2 +15x+30

2) Combine like terms!

12x^3 -18x^2 - 36x -10x^2 +15x+30 = 12x^3 -28x^2 -21x +30

Answer is:

12x^3 -28x^2 -21x +30

Hope it helps!!

Answer:

AC=13cm

AD=13,9cm

Step-by-step explanation:

a)Pythagoras' Theorem in ABC, right-angle triangle

AC²=AB²+BC²

AC²=144cm²+25cm²=169cm²

AC=13cm

b)ACD is right-angle triangle

AD²=AC²+CD²

AD²=169cm²+25cm²=194cm²

AD=√194cm

AD=13,9CM

Answer:

Step-by-step explanation:

ABC is a right triangle

So,

AC² = AB² + BC²

= (12 cm)² + (5 cm)²

= 144 cm² + 25 cm²

AC² = 169 cm²

AC = 13 cm