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sveta [45]
3 years ago
9

Brandy is trying to factor the quadratic $3x^2 - x - 10.$ She starts by assuming that the quadratic factors as \[3x^2 - x - 10 =

(x + B)(3x + D),\]for some integers $B$ and $D.$ After some work, Brandy successfully factors the quadratic. Find the ordered pair $(B,D).$
Mathematics
1 answer:
taurus [48]3 years ago
7 0

Answer:

(B , D) = (-2,5)

Step-by-step explanation:

The given quadratic expression is

3x^{2} -x-10

compare the given expression with ax^{2} +bx+c

so we have a = 3 , b = -1 ,c = -10

now ac=3 (-10)=- 30 and b= -1

we need to find two numbers such that their product is -30 and sum is -1

-6 and 5 are such numbers

so we have

3x^{2} -6x+5x-10

grouping first two terms and last two terms

(3x^{2} -6x)+(5x-10)

factor out 3x from first two terms and 5 from last two terms

3x(x-2) +5(x-2)          

(x-2)(3x+5)        ( factor out (x-2))

(x+(-2))(3x+5)

hence B =-2 and D= 5

(B,D)= (-2,5)

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Help i have no idea how to solve this
ASHA 777 [7]

Answer:

AB =24

Step-by-step explanation:

So, since all the sides are equal, you can just take two of the sides and set em equal to each other to find x and then, solve for AB

4x+8 =6x

8= 6x-4x

8=2x

8/2 =x

x= 4

Now, find AB, which is 4x+8

4(4) + 8

16+8 = 24

Hope this helps!

Please mark brainliest if you think I helped! Would really appreciate!

5 0
3 years ago
Please help simplify the problem
galina1969 [7]

all you will have to do is add the top number . you should D

8 0
3 years ago
Read 2 more answers
Find the sum of a finite geometric sequence from n = 1 to n = 8, using the expression −2(3)^n − 1.
Kazeer [188]
The sum if the geometric sequence given by:
an=-2(3)^(n-1)
will be:
when:
n=1
an=-2
when n=2
a2=-6
when n=3
a3=-18

when n=4
a4=-54

when n=5
a5=-162

when n=6
a6=-486

when n=7
a7=-1458

when n=8
a8=-4374

thus the summation of the term will be:
Sn=(-4374+-1458+-486+-162+-54+-18+-6+-2)
Sn=-6560
the answer is -6560

6 0
3 years ago
He measure of one angle of an octagon is twice that of the other seven angles. what is the measure of each angle? answer: ,
Scrat [10]
Answer:
measure of larger angle = 240 degrees
measure of each of the smaller angles = 120 degrees

Explanation:
In any polygon, the sum of measures of interior angles can be calculated using the following rule:
sum of interior angles = (n-2)*180 where n is the number of sides

Now, for an octagon, n=8, this means that:
sum of measures of interior angles = (8-2)*180 = 1080°

An octagon has 8 interior angles, one of which is twice the measure of the others.
Assume that each of the 7 smaller angles is x degrees and that the larger angle is 2x degrees

Computing their summation, we will find that:
x + x + x + x + x + x + x + 2x = 1080
9x = 1080
x = 120

This means that:
each one of the smaller angles = x = 120 degrees
the larger angle = 2x = 2 * 120 = 240 degrees

Hope this helps :)
6 0
3 years ago
-6-5
Dmitry [639]

Answer: A

Step-by-step explanation:

Following the first two steps of the sequence of transformations,

A(-4,-2) \longrightarrow (-2,-1) \longrightarrow (-2,1)

We need to map this onto D(1,1), which involves a translation 3 units right.

4 0
2 years ago
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