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My name is Ann [436]
3 years ago
10

Factorise the following algebraic expressions completely a. y4 −81 . x2 +10x +24

Mathematics
1 answer:
Ludmilka [50]3 years ago
3 0

y^4-81=(y^2-9)(y^2+9)=(y-3)(y+3)(y^2+9)\\\\
x^2 +10x +24 =x^2+10x+25-1=(x+5)^2-1=(x+5-1)(x+5+1)=(x+4)(x+6)

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∆ABC is reflected about the line y = -x to give ∆A'B'C' with vertices
Ilia_Sergeevich [38]
Since A‘(-1,1) is on the line y=-x, reflecting it about the line doesn't change its coordinate, so A's coordinate is (-1,1). Reflecting B'(-2,1) about y=-x switches both the sign and the number of x and y, so B=(-1,2), and C'(-1,0) becomes C(0,1). Drawing out the graph with the points and the line helps.
4 0
3 years ago
write the equation of the line, with the given properties, in slope-intercept form. slope = -5, through (-4,4)
Daniel [21]

Answer: y=-5x-16

Step-by-step explanation:

Since we are given the slope and the point, we can plug in the point to solve for y-intercept.

4=-5(-4)+b          [multiply]

4=20+b               [subtract both sides by 20]

b=-16

Now, we know the equation is y=-5x-16.

3 0
3 years ago
4h - 6= 22<br> -8s + 1= 33<br> -4w - 4= 8<br> 5 +1/7b = -2<br> i need help on these problems!
Margaret [11]
4h−6=22
1. Add 6 to both sides.
<span><span><span><span>4h</span>−6</span>+6</span>=<span>22+6</span></span>
<span><span>4h</span>=28
</span>2.Divide both sides by 4.
<span><span><span>4h/</span>4</span>=<span>28/4
</span></span><span>h=<span>7

</span></span>−8s+1=33
1: Subtract 1 from both sides.
−8s+1−1=33−1
−8s=32
2: Divide both sides by -8.
−8s/−8=32/−8
<span>s=-4
</span><span><span><span>

−<span>4w</span></span>−4</span>=8
</span>Step 1: Add 4 to both sides.
<span><span><span><span>−<span>4w</span></span>−4</span>+4</span>=<span>8+4
</span></span><span><span>−<span>4w</span></span>=12
</span>2: Divide both sides by -4.
<span><span><span>−<span>4w/</span></span><span>−4</span></span>=<span>12/<span>−4
</span></span></span><span>w=<span>−3</span></span>
<span>

Step 1: Simplify both sides of the equation.</span>
<span><span><span><span>1/7</span>b</span>+5</span>=<span>−2
</span></span> 2: Subtract 5 from both sides.
<span><span><span><span><span>1/7</span>b</span>+5</span>−5</span>=<span><span>−2</span>−5
</span></span><span><span><span>17</span>b</span>=<span>−7
</span></span>3: Multiply both sides by 7.
<span><span>7*<span>(<span><span>1/7</span>b</span>)</span></span>=<span><span>(7)</span>*<span>(<span>−7</span>)
</span></span></span><span>b=<span>−49</span></span>
6 0
3 years ago
These are samples of student work. Both students got the same answer, but did the work differently. Which student did the work c
Alchen [17]

Answer:

Student B did the problem corectly

Step-by-step explanation:

Student a did 3*4 while student B did 3*3*3*3 which would equal 27

3 0
2 years ago
gavin is making a flag for a school project. He has 3 1/6 ft of fabric. He used 2 1/2 ft to make the flag. How much fabric is re
Artyom0805 [142]

Answer:

he has 0.66 of fabrics remaining, 0.66 can be 33/50

Step-by-step explanation:

4 0
3 years ago
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