On a coordinate plane, triangle A B C is shown. Point A is at (negative 1, 1), point B is at (3, 2), and points C is at (negative 1, negative 1)
If line segment BC is considered the base of triangle ABC, what is the corresponding height of the triangle?


0.625 units

0.8 units

1.25 units

1.6 units

Answer:

Step-by-step explanation:

The function y = 2x^2 + 4x has a parabolic graph that opens up.  

*In factored form we have y = 2x(x + 2); if we set this equal to zero and solve for x, we obtain {-2, 0}, the roots of this function.  

*The axis of symmetry is halfway between these roots:  x = -1.  The y-value of the vertex is the value of the function at x = -1:  f(-1) = 2(-1)^2 + 4(-2) = -6.  Thus, the vertex is (-1, -6).

* The y-intercept is (0, 0), since y = 0 when x = 0.

Graph the points shown and draw a smooth curve through them, remembering that this parabola opens up.

Answer:

Step-by-step explanation:

Set this up as a proportion of M:P

[tex]\frac{M}{P}:\frac{2}{5}=\frac{200}{x}[/tex] and cross multiply to solve for x:

2x = 1000 so

x = 500. Peter got $500

Answer:

5/9

Step-by-step explanation:

There are 9 marbles total (3+4+2). There are 2 green marbles and 3 blue marbles (not red). The total fraction will be 5/9.

Answer:

14 cm

Step-by-step explanation:

The maximum area of a rectangle (actually square) with a perimeter of 14 can have is 12.25 cm².  So the smallest perimeter a rectangle of 12 cm² i just a little below 14 cm, namely 4sqrt(12) = 13.86 cm.

Answer:

option B

Step-by-step explanation:

[tex]16x + 20y = (4 \times 4x) + (4 \times 5y) = 4 \times (4x + 5y)[/tex]

Answer:

18

√18

=3√2(Decimal: 4.242641)

Answer:

C

Step-by-step explanation:

i took the test

Answer:

2.3%

Step-by-step explanation:

18000 = 15000( 1 + i)^8

Divide both sides by 15000

1.2 = (1 + i)^8

Take both sides to the 1/8 power

1.2^(1/8) = 1 + i

1.023051875220463 = 1 + i

Subtract 1 from both sides

i = 0.023051875220463

~ 2.3%

Answer:

ok is this a troll

Step-by-step explanation:

the cake doesnot correspond to the cookie

Answer:

The paint will not fill the tray by 10.53 in3.

Step-by-step explanation:

Length = 14 inches

Width = 10 inches

Depth = 4 cm = 1.57 inches

Volume = length x width x depth

Volume = 14 x 10 x 1.57

= 220.47 inches cube

Volume of Gallon = 231 inches cube

Answer:

If we are solving x + 5< 6 the inequality is x< 1

Step-by-step explanation:

If helps mark as brainllest please!!!

Answer:

It's (-1,0)

Step-by-step explanation:

Just did the question.

Answer:(-1,0)

Step-by-step explanation:

Answer:

y = 1/2x - 14

Step-by-step explanation:

Parallel lines have the same gradient

So,

gradient for second line = gradient of the first line = 1/2

Also,

the line passes through (-6,-17)

So, we can find the y-intercept by substitution

y = mx + c

-17 = (1/2 * -6) + c

-17 = -3 + c

c = -14

So,

the equation is y = 1/2x - 14

Answer:

Step-by-step explanation:

The red sections are sectors of the circle. We need that area. We'll find one then multiply it by 2, since they're both the same.

[tex]A_s=\frac{60}{360}\pi (4)^2\\A_s=\frac{1}{6}\pi (16)\\A_s=8.377[/tex]and now we multiply it by 2 to get the red area:

[tex]A_s=16.754[/tex]

And now the area of the circle:

[tex]A_c=\pi (4)^2\\A_c=16\pi\\A_c=50.265[/tex] and now divide to get the percentage:

[tex]\frac{16.754}{50.265}*100=[/tex] 33.3%

Answer:

25% of 32 is 8

Step-by-step explanation:

[tex]\frac{x}{100} * 32 = 8\\\\x = 25%[/tex]

Therefore, 25% of 32 is 8.

8 is 25% of 32.

A percentage is a number or ratio that can be expressed as a fraction of 100.

We know that, 8/32=1/4

in percentage form, 8 of 32= 1/4×100

                                     =25%

Hence, 8 if 25% of 32.

To learn more on percentage click:

https://brainly.com/question/13450942

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Answer:

2.50 is the answer of the question

Answer:

tanA = opp/adj

Step-by-step explanation:

the answer is the first graph, A

Answer:

Step-by-step explanation:

Lets understand what the question says:-

Mean or average in a list=16

Total sum of observations= x

Equation:-

x/10=16

x=160

If 2 numbers are increased by 5 that means

New sum of observations=160+10=170

Therefore,

New average or new mean=170/10=17

Therefore the average gets increased by 1

Answer:

x = a(y+17)^2 + 2 where a < 0

Step-by-step explanation:

Since the parabola is horizontal, the formula of the parabola is x = a(y-h)^2 + k where (h,k) is the vertex.

Since it opens to the left, a must be negative. The vertex is (-17, 2), so h = -17 and k = 2.

Substituting these in, we find that the equation is

x = a(y+17)^2 + 2 where a is a real number that is less than 0 (i.e. negative)

I hope this helps! :)

Answer:

45

Step-by-step explanation:

because 3 x 9 is 27 and then your gonnna want to subtract 72 and 27 and that really how i got 45 by multiplication and subtraction sorry if it wrong

Answer:

The solution to the system of equations is y = -5 and x = -2.

Step-by-step explanation:

The question tells us to use substitution to solve the system.  This means that the given value for x (in terms of y) should be substituted into the other equation.  This is modeled below:

-4y - 5x = 30

-4y - 5(y+3) = 30

Next, we should use the distributive property to simplify the left side of the equation.

-4y -5y - 15 = 30

The next step is to combine like terms on the left side of the equation.

-9y - 15 = 30

Then, we can add 15 to both sides of the equation.

-9y = 45

Finally, we can divide both sides of the equation by -9.

y = -5

To find the value for x, we substitute in the value we just found for y into either of our original equations.

x = y + 3

x = -5 + 3

x = -2

Therefore, the correct answer is y = -5 and x = -2.

Hope this helps!

Answer:

10x+3y=29

Step-by-step explanation:

Given points:(x1,y1)=(2,3)

                     (x2,y2)=(5,-7)

We know, the equation of line passing through two points is given by,

   y-y1={(y2-y1)/(x2-x1)}*(x-x1)

Hence,y-3={(-7-3)/(5-2)}*(x-2)

       or,y-3=(-10/3)*(x-2)

       or,3y-9= -10x+20

        or,3y+10x=20+9

        or,10x+3y=29 is the required equation.

Answer:

The correct option is (b).

Step-by-step explanation:

A sphere and a cylinder have the same radius and height,

The volume of cylinder is,

[tex]V=\pi r^2 h\\\\V=\pi r^3[/tex]

ATQ,

The volume of cylinder is 27 cubic units.

[tex]\pi r^3 = 27[/tex]

The formula for the volume of a sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3\\\\V=\dfrac{4}{3}\times 27[/tex]

So, the correct option is (b).