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DENIUS [597]
2 years ago
12

Write the missing number 98,46

Mathematics
1 answer:
neonofarm [45]2 years ago
5 0
The missing number is 28
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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
PLEASE HELP (IM GIVING 100 POINTS)
Natasha2012 [34]

Answer:

A

Step-by-step explanation:

area of triangle = 1/2*base*height

small triangle = 1/2*4*3 = 6

Big triangle = 1/2*8*6= 24

24/6=4

the big triangle is 4 times the size of the big triangle. so the small triangle would be 1/4 the size. hence D1/4(xyz) answer is A

6 0
2 years ago
Which relation has both domain and range of all real numbers
Mama L [17]

Answer:

C

Step-by-step explanation:

All real numbers means all numbers positive and negative

Therefore, it would have to be C because the others dont have both positives and negatives for their domain and range reaches

4 0
3 years ago
What percent is equal to .64
Rzqust [24]

Answer:

64%

Step-by-step explanation:

.64 is equal to 64%

In order to convert move the decimal over two spaces and add a percent sign (%).

Move the decimal 0.64 to 64 and add percent sign 64%.

6 0
2 years ago
Read 2 more answers
What is the slope-intercept form of the linear equation x + 4y = 12?
Anna11 [10]
4y = 12 - x 
y = 3 - 1/4x
4 0
3 years ago
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