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just olya [345]
2 years ago
12

5b2-10b-15 factor this

Mathematics
1 answer:
LUCKY_DIMON [66]2 years ago
7 0

Answer:

5(b - 3)(b + 1)

Step-by-step explanation:

take out a common factor of 5

= 5(b² - 2b - 3)

to factor the quadratic consider the factors of - 3 which sum to - 2

These are - 3 and + 1, thus

= 5(b - 3)(b + 1)


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Given: l || m; ∠1 ∠3 Prove: p || q Complete the missing parts of the paragraph proof. We know that angle 1 is congruent to angle
Oxana [17]

Answer:

p║q hence proved.

Step-by-step explanation:

In the question given parameters are line l║m and ∠1 = ∠3

and we have to prove p║q.

Since ∠1 = ∠3 (given)

Opposite angle of ∠1 = ∠2 (Alternate interior angles)

Therefore ∠2 = ∠3 (Transitive property)

∠2 = ∠3 are congruent when lines p and q are parallel and lines l and m are transverse.

Therefore p║q.

Hence proved.

3 0
2 years ago
Read 2 more answers
Isabella is playing with her yo-yo. The vertical distance YYY (in \text{cm}cmstart text, c, m, end text) between the yo-yo and h
nadezda [96]

Answer:

2.1 seconds

Step-by-step explanation:

8 0
2 years ago
two taps drip together at exactly 1:00pm. one tap then drips again every 68 sec while the other tap continues to drip every 72 s
N76 [4]
The least common multiple of 68 and 72 is 1224 so that means we have to add 1224 minutes to 1:00 pm. Convert that to 24 hour time: 1300. 1224 ÷ 60 is 20.4. so the answer will be 1:20 pm.
P.S. delete this answer if it is wrong and tell me the right answer

5 0
2 years ago
2.5 kg of cabbages cost £1.20<br><br> Work out the cost of 3.75 kg
s2008m [1.1K]
Thank you for your question!

In order to get the cost of 1 kg of cabbage, divide the cost by the quantity:

1.20/2.5
0.48

Now, multiply the amount for 1 kg to 3.75, because you need 3.75 times the amount.

0.48 * 3.75
1.80

So, it would cost 1.80 pounds for 3.75 kg.
Hope this helped!


8 0
2 years ago
21. Given directed line segment WV , find the coordinates of R
Jobisdone [24]

Answer:

R\left(\frac {4x_1+3x_2}{7} , \frac {4y_1+3y_2}{7}\right)

Step-by-step explanation:

Let the coordinate of the points W, V and R are (x_1,y_1), (x_2,y_2), and (x_s,y_s)respectively.

The coordinate of the section point, (x_s,y_s), which divides the line joining the two points (x_1,y_1) and (x_2,y_2) in the ration m:n is

x_s=\frac {nx_1+mx_2}{m+n} and

y_s=\frac {ny_1+my_2}{m+n}.

The given ration is, m:n=3:4

R(x_s,y_s)=R\left(\frac {nx_1+mx_2}{m+n} , \frac {ny_1+my_2}{m+n}\right)

=R\left(\frac {4x_1+3x_2}{7} , \frac {4y_1+3y_2}{7}\right).

The exact point can be determined by putting the value of the exact coordinate in the above-obtained formula.

6 0
2 years ago
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