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3 years ago

Can someone please show me how to solve this problem? Thank you! - Alyssa

Mathematics

1 answer:

Yuri [45]3 years ago

6 0

You need to take f(x) and make a perfect square...

x^2+10x+35=0 move the constant to the other side...

x^2+10x=-35 now make the left side a perfect square by halving the linear coefficient, squaring that, then adding it to both sides of the equation...(10/2=5, 5^2=25)

x^2+10x+25=-10 now the left side is a perfect square...

(x+5)^2=-10 now you can move the constant back in...

(x+5)^2+10 you can see that a=1, k=10, and h=5

So h=5

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A polygon is shown on the graph:

Elis [28]

Answer:

4 units left : subtract 4 from each x coordinate

3 units down : subtract 3 from each y coordinate

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

The sum of two numbers is 21. the second number is six times the first number . Work out the two numbers

jeyben [28]

Answer:

3 and 6

Step-by-step explanation:

3*6=18

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7 0

3 years ago

Help please :(. :( :(.,,,,,,,,,,,,,,,,

Volgvan

Answer:

y-intercept: y=9
zeros: x= -3, -1, 1, 3

Step-by-step explanation:

The y-intercept is where the graph crosses the y-axis. On this graph, that is just below y=10. A reasonable estimate* of the y-intercept is y=9.

The zeros are those places on the graph where y=0. The line y=0 is the x-axis, so the zeros are the x-values of the places where the graph crosses the x-axis. Those points are clearly labeled: x = -3, -1, 1, 3.

_____

* Knowing the zeros, you can write a factored-form equation for the graph:

y = (x +3)(x +1)(x -1)(x -3)

You can substitute x=0 in this equation to see what the y-intercept would be:

3×1×-1×-3 = 9

That is, with no scale factor applied to the function, its y-intercept would be 9. This is the same value we estimated above, so it is reasonable to assume that value is correct.

8 0

4 years ago

Which expression is equivalent to the given expression?

DochEvi [55]

Answer:

8(34a-1)

Step-by-step explanation:

Hope this helps :)

3 0

3 years ago

1.)12.5+(-31.5)=<br>2.)-31.91+(-16.7)=<br>3.)1/6+(-11/12)+2/3=<br>4.)29+(-15.7)+(-31.05)=

Xelga [282]

1. = Step 1. Simplify Brackets and you get $12.5 - 31.5$ Step 2. Simplify and you get $-19
$ which is your answer.

2. = Step 1. Simplify Brackets and you get $-31.91-16.7$ Step 2. Simplify and you get $-48.61$

3. = Step 1. Simplify Brackets and you get $\frac{1}{6} - \frac{11}{12} + \frac{2}{3}$ Step 2. Simplify and you get $- \frac{1}{12}$

4. Step 1. = Simplify Brackets and you get $29-15.7-31.05$ Step 2. Simplify and you get $-17.75$

5 0

4 years ago