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zhuklara [117]
3 years ago
9

Can someone clearly explain and workout Q19? Much appreciated

Mathematics
1 answer:
Anna007 [38]3 years ago
5 0
The x coefficient is 2
Take half of 2 to get 2/2 = 1
Square 1 to get 1^2 = 1

Add and subtract 1 to the expression. This is the same as adding 0. 

x^2 + 2x + 2
x^2 + 2x + 2 + 0
x^2 + 2x + 2 + (1-1)
(x^2 + 2x + 1) + 2 - 1
(x+1)^2 + 1

Answer: (x+1)^2 + 1

 
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In a room, there are 450 students of which 20% are girls. A group of students have mobile phones with them, of which 40% are gir
andrew-mc [135]

Answer:

216 boys

Step-by-step explanation:

450 students: 20% girls, 80% boys

450*20%=90 girls

450*80%=360 boys

Students having mobile phones: 40% (OF THE 90) girls, 60% (OF THE 360) boys

90*40%=36 girls

360*60%=216 boys

[We honestly don't need to care about the girls without mobile phones as they are only asking how many boys have mobile phones]


4 0
3 years ago
Read 2 more answers
Write the equation of a line perpendicular to y=0.25x-7 and passes through the point -6,8
horrorfan [7]

the equation of a line perpendicular to y=0.25x-7 and passes through the point (-6,8) is y=-4x+30

Step-by-step explanation:

We need to write equation of line perpendicular to y=0.25x-7 and passes through the point (-6,8)

Since the line y=0.25x-7 is in slope-inetercept form y=mx+b

the slope of line m = 0.25

As, the new line is perpendicular to the given line so, slopes of lines that are perpendicular are: slope = -1/slope1

So, slope will be -1/0.25 = -4

Now, finding y-intercept.

y=mx+b8=4(-6)+b\\8=-24+b\\b=8+24\\b=30

So, value of y-intercept b = 30

Now the equation of the required line having slope m= -4 and b =30 will be:

y=mx+b\\y=-4x+30

So, the equation of a line perpendicular to y=0.25x-7 and passes through the point (-6,8) is y=-4x+30

Keywords: Equation of line, slope-intercept form

Learn more about slope-intercept form at:

  • brainly.com/question/12954015
  • brainly.com/question/1979240
  • brainly.com/question/2601054

#learnwithBrainly

3 0
3 years ago
20. What is the y-intercept of the line<br> y + 11 = -2(x + 1.5).
Vinvika [58]

Answer:

86

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Quadratics need help making parabola
timama [110]

Answer:

The equation of the parabola is y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4, whose real vertex is (x,y) = (2, -5.333), not (x,y) = (2, -5).

Step-by-step explanation:

A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:

(x_{1}, y_{1}) = (-2, 0), (x_{2}, y_{2}) = (6, 0), (x_{3}, y_{3}) = (0, -4)

From definition of second order polynomial and the three points described above, we have the following system of linear equations:

4\cdot a -2\cdot b + c = 0 (1)

36\cdot a + 6\cdot b + c = 0 (2)

c = -4 (3)

The solution of this system is: a = \frac{1}{3}, b = - \frac{4}{3}, c = -4. Hence, the equation of the parabola is y = \frac{1}{3}\cdot x^{2}-\frac{4}{3}\cdot x -4. Lastly, we must check if (x,y) = (2, -5) belongs to the function. If we know that x = 2, then the value of y is:

y = \frac{1}{3}\cdot (2)^{2}-\frac{4}{3}\cdot (2) - 4

y = -5.333

(x,y) = (2, -5) does not belong to the function, the real point is (x,y) = (2, -5.333).

5 0
2 years ago
Help! im awful at these problems!!<br> solve the formula: t=v+k/g for g.
Sedbober [7]

Answer:

g = \frac{k}{t-v}

Step-by-step explanation:

Given

t = v + \frac{k}{g}

Multiply through by g to clear the fraction

tg = vg + k ( subtract vg from both sides )

tg - vg = k ← factor out g from each term on the left side

g(t - v) = k ← divide both sides by (t - v)

g = \frac{k}{t-v}

4 0
3 years ago
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