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4 years ago

9

Where is the vertex of the parabola?

2 answers:

True [87]4 years ago

7 0

$\bf \textit{vertex of a vertical parabola, using coefficients}
\\\\
\begin{array}{llcccl}
y = & 1x^2& +6x& +7\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array}
\qquad 
\left(-\cfrac{ b}{2 a}\quad ,\quad c-\cfrac{ b^2}{4 a}\right)
\\\\\\
\left( -\cfrac{6}{2(1)}~~,~~7-\cfrac{6^2}{4(1)} \right)\implies (-3~~,~~7-9)\implies (-3~~,~~-2)$

Ilya [14]4 years ago

3 0

Answer:

below the x axis

Step-by-step explanation:

i took the test

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Use intercepts to graph each linear function.<br><br>6x-3y=15

k0ka [10]

Answer:

<h2>6x-3y=15</h2>

Solve for y.

y= −5+2x

Rewrite in slope-intercept form.

y=2x−5

Use the slope-intercept form to find the slope and y-intercept.

Slope: 2

y-intercept: (0,−5)

Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.

x y

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5/2 0

Graph the line using the slope and the y-intercept, or the points.

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x y

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Step-by-step explanation:

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3 years ago

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Aleks [24]

The answer is:

0.75n = 18.00

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3 years ago

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The area of a triangular flag is 132 square centimetres. Its altitude is 2 centimetres longer than twice its base. Find the leng

Anika [276]

Answer:

24 cm and 11 cm

Step-by-step explanation:

GIVEN: The area of a triangular flag is $132 \text{ cm}^2$ . Its altitude is $2\text{ cm}$ longer than twice its base.

TO FIND: lengths of the altitude and the base.

SOLUTION:

Let the altitude and the base of flag be $a$ and $b$

According to the question

$a=2+2b$

area of triangle $=\frac{1}{2}\times base \times alltitude=\frac{1}{2}a\times b$

$\implies \frac{1}{2}(2b+2)b=132 \Rightarrow 2b^2+2b-264$

Solving equation we get

$b=11$ then $a=24$

Hence the lengths of altitude and base of triangular flag is 24 cm and 11 cm respectively.

8 0

3 years ago

What is the slope of this graph?

jasenka [17]

Answer: The slope (m) of the line using two points where the line goes through is:

m = - 4 (negative 4).

Solution:

m=(y2-y1) / (x2-x1)

Taking two points in the graph where the line goes through:

P1=(0,2)=(x1,y1)→x1=0, y1=2

P2=(1,-2)=(x2,y2)→x2=1, y2=-2

Replacing in the formula of the slope:

m=(-2-2) / (1-0)

m=(-4) / (1)

m=-4

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3 years ago

a speed skater completes a 500 meter race in 40 seconds. A cheetah runs 260 meters in 10 seconds. How do their speeds compare?

puteri [66]

Answer:

Skater 500 m / 40 sec = 12.5 m/ sec

Cheetah 260 / 10 = 26 m/ sec

The cheetah is more than twice as fast as the skater.

Step-by-step explanation:

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4 years ago