Find the length of C using the Pythagorean theorem

Answer:

Triangles 3 and 4 are both isosceles. They each have a 60 degree angle.

This is a similar triangle.

Step-by-step explanation:

Isosceles triangle is one in which two sides are equal.

Similar triangles are triangles which have all corresponding angles equal and which have corresponding sides with the same ratio.

Now the given isosceles triangle both have all three angles equal to 60 degrees which makes them similar triangles.

The other choices given are not similar triangles because

1) they do not have all corresponding angles equal

2) their lengths are unknown and cannot be assumed to be in ratio.

Answer:

-27x^2-30x hoped that helped

Answer:

(a) The coordinates of the inflection point are (1; 8) and, being the value of a less than zero, then these coordinates indicate the maximum of the function.

(b) The y-intercept has a value of 6

(c) The coordinates of the x-intercepts have a value of x=3 and x=-1

Step-by-step explanation:

You know y= -2*(x-1)² + 8

(a) Every quadratic function can be expressed by the canonical form:

f(x)=y= a*( x- h)² + k

where a is the principal coefficient and the ordered pair (h; k) are the coordinates of the vertex of the parabola.

The quadratic function will have a maximum or minimum value at the vertex. If a> 0, the parabola is concave, that is, it will have its branches upwards, therefore the vertex will indicate the minimum of the function. But if a <0 the parabola is convex and the vertex will indicate the maximum of the function.

Comparing the given equation with the canonical form of a quadratic function you can see that:

Then, the coordinates of the inflection point are (1; 8) and, being the value of a less than zero, then these coordinates indicate the maximum of the function.

(b)  The y-intercept arises from evaluating the function at x = 0. So, in this case:

y= -2*(0-1)² + 8

Solving:

y= -2*(-1)² + 8

y= -2*1 + 8

y= -2+8

y= 6

The y-intercept has a value of 6

(c)   The roots or coordinates of the x-intercepts arise from evaluating the function at y = 0. So, in this case:

0= -2*(x-1)² + 8

Solving:

-8= -2*(x-1)²

[tex]\frac{-8}{-2} =(x-1)^{2}[/tex]

4= (x-1)²

√4= |x-1|

⇒ 2=x-1 → 2+1=x → 3=x

⇒ -2=x-1 → -2+1=x → -1=x

The coordinates of the x-intercepts have a value of x=3 and x=-1

Answer:

B

Step-by-step explanation:

A has a change of 20 Fahrenheit.

C has an overall change of 21 kilometres.

D has a total distance of 6.2 kilometres.

PLS GIVE BRAINLIEST

Answer:

B.

Step-by-step explanation:

Buys item = -2.25

Sells item = +2.25

-2.25 + 2.25 = 0

A) The difference between -10 and 10 is 20.

C) sea level = 0, 0 + 21 = 21

D) 3.1 + 3.1 = 6.2

Answer:

5x^2(x^2 + 2x + 3)

Step-by-step explanation:

All the terms can be factored by 5 and x^2, so we get:

5x^2(x^2 + 2x + 3)

there are no more common terms so this is the answer

Answer:

the unit price needed to calculate is $0.8 per mile

Step-by-step explanation:

Here is the complete question:

At a​ little-known vacation​ spot, taxi fares are a bargain. A 14 Mile Taxi ride takes 16 minutes and costs $11.20 you want to find the cost for a 49 mile taxi ride . What unit price do you​ need?

Step-by-step explanation:

To determine the unit price needed to calculate the cost for a 49 mile taxi ride, we will determine the cost of the ride per mile. To do this, let the cost per mile be $x

If it cost $11.20 for a 14 mile ride

Then, it will cost $x for a 1 mile ride

∴ x = (1 × 11.20) / 14 = 0.8

x = 0.8

The taxi ride costs $0.8 per mile.

Hence, the unit price needed to calculate is $0.8 per mile.

If desired,

To find the cost for a 49 mile taxi ride, multiply the distance traveled by the unit price,

Distance = 49 mile

Unit price = $0.8 per mile

∴ Cost for a 49 mile taxi ride = 49 × $0.8

Cost for a 49 mile taxi ride = $39.2

Hence, the cost for a 49 mile taxi ride is $39.2

Answer:

The total area of the field is 343 square feet

Step-by-step explanation:

Let us solve the question

∵ There are 7 workers hired to seed a field by hand

∵ Each is given a plot 7 x 7  feet in size

→ The plot has shaped a square because its two dimensions equal

∴ The side of the plot = 7 feet

∵ The area of the square = side × side

∴ The area of each plot = 7 × 7

∴ The area of each plot = 49 square feet

→ To find the total area multiply the area of 1 plot by the number

   of the workers

∵ The total area = 49 × 7

∴ The total area = 343 square feet

∴ The total area of the field is 343 square feet

Answer:

6.40312423 hope that helps

Answer:

[tex]\sqrt{53}[/tex]

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 5, 8) and (x₂, y₂ ) = (- 3, 1)

d = [tex]\sqrt{(-3+5)^2+(1-8)^2}[/tex]

   = [tex]\sqrt{2^2+(-7)^2}[/tex]

   = [tex]\sqrt{4+49}[/tex]

    = [tex]\sqrt{53}[/tex]

Answer:

Parralel lines have the exact same slope.

in the equation y=mx+b m is the slope

Both of these equations are in slope intercept form (y=mx+b) meaning that the coefficient in both equations is the slope.

Parralel lines have the same slope and perpendicular lines have the inverse opposite slope. For example if a line had a slope of 2 or 2/1 then the perpendicular line to it would have a slope of -1/2.

With that knowledge we can easily see that the lines are perpendicular since their slopes (represented by the coefficient) are the inverse opposite.

Perpendicular is your answer

Step-by-step explanation:

Answer:

Distrubutative property

Step-by-step explanation:

Answer:

1/5^15

Step-by-step explanation: when ever you want to convert the number becomes a fraction to sibstitute for the sighn change and the exponent stays positive.

Answer:

the answer is 2

Step-by-step explanation:

The way I no this is because I used division and got two for each box. 24 divided by 12 = 2 for every box

Answer: slope= -3

Step-by-step explanation: use the slope intercept form to find slope

Answer:

C) JFG BECAUSE THAT IS WERE IT CROSSES AT

Answer:

the origen is where they all start

Answer:

Remote Control Car Fast RC Cars Toys for 6-12 Years Old Boys,High Speed RC Truck Offroad Remote Control Truck RC Rock Crawler All Terrain RC Car Toys for Boys Kids Gift (Green) 3.6 out of 5 stars 141 More Buying Choices $14.62 (1 used offer)

Step-by-step explanation:

Answer: 5.86yd

Step-by-step explanation:

From the question, we are informed that Esteban stands on a dock 1.25 yd above the water and that a fish swims below Esteban at -4.61 yd from the surface of the water.

The distance between Esteban and the fish can be calculated by subtracting -4.61 yd from 1.25 yd. This will be:

= 1.25 yd - (-4.61 yd)

= 1.25 yd + 4.61 yd

= 5.86 yd

Answer:

Hi,

LHS = sinA-cosA+1/sinA+cosA-1

divide both numerator and denominator by cosA

LHS=(tanA−1+secA)/(tanA+1−secA)LHS=(tanA−1+secA)/(tanA+1−secA)

Now

sec2A=1+tan2Asec2A=1+tan2A

sec2A−tan2A=1sec2A−tan2A=1

Using above relation at denominator of LHS

LHS=(tanA−1+secA)/(tanA−secA+sec2A−tan2A)LHS=(tanA−1+secA)/(tanA−secA+sec2A−tan2A)

LHS=(tanA−1+secA)/((secA−tanA)(−1+secA+tanA))LHS=(tanA−1+secA)/((secA−tanA)(−1+secA+tanA))

LHS=1/(secA−tanA)LHS=1/(secA−tanA)

LHS=RHSLHS=RHS

Hence Proved.

I think above proof will clear your doubt,

All the best.

Answer:

A

Step-by-step explanation:

The number of five-digit flippy numbers are divisible by 15 is;

Option B; 4 Numbers

For a number to be divisible 15, it has to be divisible by 3 and 5.

Also, for a number to be divisible by 5, it's last digit has to be 0 or 5.

       5N5N5

For it to be divisible by 3, since 5 + 5 + 5 = 15 is divisible by 3, the N + N can be equal to 0, 6, 12, or 18 since N is identical.

Read more at; https://brainly.com/question/19238760

Answer:

12 cups, since .75*16=12

Step-by-step explanation:

Answer:

The answer is 6/8

Step-by-step explanation:

6/8 is the only logical answer because you need to have an answer that is less than one, 8/6 evens out to 1 1/3, 6/2 evens out to 3, and 8/4 evens out to 2. 6/8 is the only fraction that is less than one.

Answer:

its 6/8

Step-by-step explanation:

Answer:

Step-by-step explanation:

I would use the Horner method.

f(x) = x³ – 3x² – 10x + 24

f(2) = 2³ - 3·2² - 10·2 +24 = 0   ⇒ x=2 is the root of function

So:

    |   1   | -3   |  -10  |  24 |

2  |   1   |  -1   |  -12  |  0   |

therefore:

f(x) = x³ – 3x² – 10x + 24 =  (x – 2)(x² – x – 12)

For  x² – x – 12:

[tex]x=\dfrac{1\pm\sqrt{(-1)^2-4\cdot1\cdot(-12)}}{2\cdot1}=\dfrac{1\pm\sqrt{1+48}}{2}=\dfrac{1\pm7}{2}\\\\x_1=\dfrac{1+7}{2}=4\ ,\qquad x_2=\dfrac{1-7}{2}=-3[/tex]

It means:

f(x) = x³ – 3x² – 10x + 24 =  (x – 2)(x – 4)(x + 3)

Answer:

15x + 20y  =  150

Step-by-step explanation:

15x is how many soccer balls he can get and 20y is how many footballs he can get. (I don't know how to explain my thinking.)

*see attachment for the dimensions of the cone given.

Answer:

7.9 in³

Step-by-step explanation:

Given:

Height of cone = 4 in.

Diameter of cone = 2¾ in

Radius (r) = ½ of 2¾ = 1.375 in

Required:

Volume of the cup

Solution:

Volume of the cup = volume of a cone

Volume of a cone = ⅓πr²h

Plug in the values of π, r and h into the formula.

Volume = ⅓*3.14*1.375²*4 = 7.9 in³ (approximated to the nearest tenth)

Answer:

X cubed plus one

Step-by-step explanation: