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3 years ago

Describe how the graph of y = x2 can be transformed to the graph of the given equation. y = (x+4)2

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

6 0

Moving 4 units to the left would change from y=x^2 to y=(x+4)^2.

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What is the y-intercept of the equation of the line that is perpendicular to the line y =

Luda [366]

Answer:

$y$ intercept $=10$

line $y=-x+10$

Step-by-step explanation:

Let $y=mx+b$ is the required line.

<u>Slope of perpendicular lines :</u> If $m_{1}$ and $m_{2}$ be slope of two perpendicular lines. Them $m_{1}\times m_{2}=-1$

$y=mx+b$ is perpendicular to $y=x+10$

the slope of $y=x+10$ is $=1$

$m\times 1=-1\\m=-1$

Hence eqn is $y=-x+b$

This equation passes through $(15,-5)$

$-5=-15+b\\b=-5+15\\b=10$

so the line is $y=-x+10$

<u>y-intercept :</u>

Substitute $x=10$

$y=0+10\\y=10$

7 0

3 years ago

Factorising Quadratics

umka21 [38]

Quadratic formula where:
$ax ^{2} + bx + c$
$\frac{ - b + { \sqrt{b^{2} - 4ac } }}{2a}$
$\frac{ - b - \sqrt{b { }^{2} - 4ac } }{2a}$
do both do get the roots of the equation

5 0

3 years ago

Read 2 more answers

g Recall the method used to obtain a confidence interval for the difference between two population means for matched samples. (a

Dovator [93]

Answer:

Step-by-step explanation:

Population 1: 11, 7, 9, 12, 13, 15, 15

Population 2: 6, 6, 4, 5, 8, 13, 12

Mean = sum of terms/number of terms

For population 1,

number of terms = 7

Mean = (11 + 7 + 9 + 12 + 13 + 15 + 15)/7 = 82/7 = 11.7

For population 2,

Number of terms = 7

Mean = (6 + 6 + 4 + 5 + 8 + 13 + 12)/7 = 7.71

The difference value for each element is

(11 + 7 + 9 + 12 + 13 + 15 + 15) - (6 + 6 + 4 + 5 + 8 + 13 + 12) = (5, 1, 5, 7, 5, 2, 3)

The difference between the two means is

Mean of population 1 - mean of population 2

Difference = 11.7 - 7.71 = 3.99

8 0

3 years ago

At lunch, $60\%$ of the students selected soda while $20\%$ selected milk. If 72 students selected soda, how many students selec

Nadusha1986 [10]

Answer:

24 students

Step-by-step explanation:

If 60% equals 72, then 20% would be 1/3 of 72 which is 24.

7 0

3 years ago

Read 2 more answers

Help me please answer this question

vichka [17]

Answer:

y = 7x + 12

Step-by-step explanation:

Slope (m) = 7

Line is passing through the point (0, 12)

y-intercept (b) = 12

Equation of line in slope-intercept form is given as:

$y = mx + b \\ \\ y = 7x + 12$

5 0

3 years ago