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mrs_skeptik [129]
2 years ago
8

On a coordinate plane, a parabola opens to the left. It has a vertex at (0, 0), a focus at (negative 2, 0), and a directrix at x

= 2.
Which equation represents the parabola shown on the graph?
y2 = –2x
y2 = –8x
x2 = –2y
x2 = –8y
Mathematics
1 answer:
Musya8 [376]2 years ago
4 0

The equation represents the parabola shown on the graph is  x^2 = - 8y . Option D

<h3>How to determine the equation</h3>

We were given the following parameters;

  • Vertex ( 0, 0 )
  • Focus ( -2, 0)
  • Directrix , at x = 2

The standard for a parabola is given as;

y² = 4ax

It can also be written as;

x² = 4ay

Given the focus as ( -2, 0), we have the value of 'a' to be -2

Now, let's substitute the value into the standard equation of a parabola

x^2 = 4ay

x^2= 4 × -2 × y

Multiply through

x^2 = - 8y

The equation of the parabola is x^2 = - 8y

Thus, the equation represents the parabola shown on the graph is  x^2 = - 8y . Option D

Learn more about a parabola here:

brainly.com/question/4061870

#SPJ1

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Please help if u can no links or I’ll report u !
Vsevolod [243]
Your answer would be 5
5 0
3 years ago
−4x−7+10x=−7+6x how many solutions
qwelly [4]

Step-by-step explanation:

-4x-7+10x=-7+6x\\\\(-4x+10x)-7=-7+6x\\\\6x-7=-7+6x\qquad\text{subtract}\ 6x\ \text{from both sides}\\\\-7=-7\qquad\bold{TRUE}\\\\Answer:\ \text{Infinitely many solutions}

3 0
3 years ago
Can someone please help me? :)
olga nikolaevna [1]

The size of a crowd standing along with a 1/4 mile section of a parade route: 5280 people

<h3>Further explanation </h3>

Comparison is an effort to compare two or more objects in terms of shape or size, or number

Proportional Comparisons are comparisons of two or more numbers where one number increases, the other numbers also increase

Can be formulated

\frac{x1}{y1}=\frac{x2}{y2}

so that if:

x = 2

then

y=\frac{y}{x}\times\:2

While the reversal value comparison is the comparison of two or more numbers where one number increases, the other number decreases in value

Can be formulated

\frac{x1}{y2}=\frac{x2}{y1}

so that if:

x = 2

then

y=\frac{x}{y}\times\:2

The size of a crowd who can see the parade can be calculated using the principle of proportional comparison

  • 1. We calculate the ratio of people and areas that can be occupied

The question stated that 10 people occupy a square measuring 5 feet by 5 feet

means the area occupied by 10 people = 5 ft x 5 ft = 25 ft²

so the ratio is :

\frac{10}{25}

  • 2. We calculate the area of ​​the road that can be occupied when viewing the parade

Because there are 1/4 mile section of a parade route and 5 feet deep on both sides of the street, the total area

1 mile = 5280 ft

1/4 mile = 1320 ft

Total area = 1320 ft x 5 ft (deep) x 2 (both sides of the street) = 13200 ft²

Then the comparison of points 1 and 2 can be used to calculate the total number of people who saw the parade

\frac{10\:people}{25\:ft^2\:area}=\frac{total\:people\:watched}{13200\:ft^2\:total\:area}

Total people =

\frac{10\:\times\:13200}{25}

Total people = 5280 (C)

<h3>Learn more </h3>

Divide 80 in a ratio of 3: 2

brainly.com/question/155058

percent of 19.5 is 70.59

brainly.com/question/1834017

The average weight of the top 5 fish

brainly.com/question/982457

Keywords: parade, street, area, crowd, comparison

3 0
3 years ago
Just answer the question okay please don’t play with me rn.
Anton [14]

Answer:

\huge{ \boxed{ \bold{ \tt{m \angle \: abc \:  = 35 \degree}}}}

Option C is the best choice.

Step-by-step explanation:

✺ First , Let's know about Corresponding angles :

  • A pair of interior and exterior angles which lies to the same side of a transversal.
  • Remember that the corresponding angles are always equal.
  • The easiest way to think of corresponding angles is the 'F - Pattern'.

✎ Now, In our case , x ° and ( 3x - 70 ) ° are corresponding angles. Set up an equation and solve for x.

\sf{x = 3x - 70\: ( \: being \: corresponding \: angles})

\longrightarrow{ \sf{x - 3x =  - 70}} { Move 3x to left hand side and change it's sign )

\longrightarrow{ \sf{ - 2x =  - 70}} { Combine like terms }

\longrightarrow{ \sf{  \frac{ - 2x}{ - 2} =  \frac{ - 70}{ - 2}   }} { Divide both sides by -2 }

\longrightarrow{ \sf{x = 35}}

The value of x is 35°

Now, As we are asked to find the value of m \angle ABC , replace the value of x :

\sf{m \angle \: ABC \:  =  (3x - 70) \degree}

\dashrightarrow{ \sf{(3  \times 35 - 70) \degree}}

\dashrightarrow{ \sf{(105 - 70) \degree}}

\longrightarrow{ \boxed{ \sf{35 \degree}}}

Therefore , m \angle ABC = 35°

And we're done !

Hope I helped!

Best regards! :)

~TheAnimeGirl

8 0
3 years ago
Simplify the expression: 2/3 (6e+9f-21g)
Natasha_Volkova [10]

Answer:

4e + 6f - 14g

Step-by-step explanation:

4 0
3 years ago
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