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sesenic [268]
3 years ago
12

Help me find my answer please

Mathematics
2 answers:
jonny [76]3 years ago
7 0

Answer:

-3

Step-by-step explanation:

\frac{-1}{3} =\frac{-3}{9}

Hunter-Best [27]3 years ago
3 0

Answer:

y = - 3

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition that y = - 1 when x = 3, thus

- 1 = 3k ( divide both sides by 3 )

- \frac{1}{3} = k

y = - \frac{1}{3} x ← equation of variation

When x = 9, then

y = - \frac{1}{3} × 9 = - 3

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Read 2 more answers
If x+a is a factor of 2x²+2ax+5x+10,find a.
vazorg [7]

If x+a is a factor of the polynomial, it means that -a is a root of the polynomial.

In fact, if a polynomial p(x) has a root x_0 (i.e. p(x_0)=0), then the polynomial is divisible by (x-x_0)

In your case, you know that the polynomial is divisible by (x+a)=(x-(-a)), so -a is a solution.

Let's evaluate p(-a) and set it to zero:

2(-a)^2+2a(-a)+5(-a)+10 = 0 \iff 2a^2-2a^2-5a+10=0 \iff -5a+10 = 0 \iff a = 2

We can check the answer: if a=2 the polynomial becomes

2x^2+2(2)x+5x+10 = 2x^2+9x+10

And we're claiming that -a=-2 is a root of this polynomial:

2(-2)^2+9(-2)+10 = 2\cdot 4 - 18 + 10 = 0

5 0
3 years ago
HELP ME I DON'T UNDERSTAND THIS :(
andriy [413]

Answer:

c

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

\frac{AD}{WZ} = \frac{CD}{YZ} , substitute values

\frac{10}{46} = \frac{5}{YZ} ( cross- multiply )

10YZ = 230 ( divide both sides by 10 )

YZ = 23 → c

3 0
3 years ago
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