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Nastasia [14]
3 years ago
8

20 POINTS! WILL GIVE BRAINLIEST!

Mathematics
1 answer:
MAXImum [283]3 years ago
3 0

y= x² - 3x - 3 → ( in standard form )

factor the quadratic to obtain intercept form

the factors of - 3 which sum to - 2 are - 3 and + 1

y = (x - 3)(x + 1) → ( in intercept form )

for vertex form use ' completing the square '

y = x² + 2( -1 )x + ( - 1 )² - ( - 1 )² = ( x - 1 )² - 4

y = ( x - 1 )² - 4 → ( in vertex form )



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State the slope and y-intercept of the graph of the equation y = 3x + 2
Leona [35]
Slope 3
Intercept is 2
7 0
3 years ago
A line runs tangent to a circle at the point (4, 2). The line runs through the origin. Find the slope of the tangent line.
leva [86]

Answer:

Slope of the tangent line (m) = 1 / 2

Step-by-step explanation:

Given:

Point A = (4,2)

Origin point = (0,0)

Find:

Slope of the tangent line (m)

Computation:

Slope of the tangent line (m) = (y2-y1) / (x2-x1)

Slope of the tangent line (m) = (2-0) / (4-0)

Slope of the tangent line (m) = 2 / 4

Slope of the tangent line (m) = 1 / 2

5 0
3 years ago
12 yo<br> 5 yd<br> what is the length of the hypotenuse
Allushta [10]

I'm sure that the hypotenuse is 13 yards

Here's the formula used:

Length of Hypotenuse² = Length of side 1² + Length of side 2²

So here's how to solve this question:

12 squared + 5 squared = hypotenuse

(Then square the values)

144 + 25 = 169

Divide 169 by the square root to get the length of the hypotenuse: 13

Hope this helps!

7 0
3 years ago
Someone can help me pleaseeee, for tonight with 2 or 3 will be fine <br> FIND THE LENGTH
ankoles [38]

Answer:

4)..21 units

5). 15 units

6). 25 units

Step-by-step explanation:

4). Since ΔABC ~ ΔDEF,

   Their corresponding sides will be proportional.

   \frac{AB}{DE}= \frac{BC}{EF}= \frac{AC}{DF}

   Since, \frac{AB}{DE}=\frac{AC}{DF}

   \frac{14}{42}=\frac{7}{x}

   x = \frac{42\times 7}{14}

   x = 21 units

5). Since ΔABC ~ ΔDEF,

   \frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}

   \frac{AB}{DE}=\frac{BC}{EF}

   \frac{6}{9}=\frac{10}{x}

   x = 15 units

6). Since ΔABC ~ ΔDEF,

   \frac{AB}{DE}=\frac{BC}{EF}=\frac{AC}{DF}

   \frac{BC}{EF}=\frac{AC}{DF}

   \frac{6}{30}=\frac{5}{x}

   x = 25 units

7 0
3 years ago
What is 4 5/13 as a decimal rounded to the nearest tenth
MAXImum [283]

Answer:

4.4

Step-by-step explanation:

4 5/13 = 4 + 5/13 = 4 + 0.384615... = 4.384615...

Answer: 4.4

5 0
3 years ago
Read 2 more answers
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