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FinnZ [79.3K]
2 years ago
9

A segment with endpoints A (4, 2) and C (1,5) is partitioned by a point B such that AB and BC form a 1:3 ratio. Find B.

Mathematics
2 answers:
Dima020 [189]2 years ago
7 0

Answer:

(3.25, 2.75)

Step-by-step explanation:

OLEGan [10]2 years ago
7 0

Answer:

C

Step-by-step explanation:

got it on test

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The two triangles illustrated below are similar. What are the values of x and y?
poizon [28]

Answer:

{ \bf{by \: relations : }} \\ { \tt{ \frac{28}{7}  =  \frac{x}{8} }} \\  \\ { \tt{x =  \frac{28 \times 8}{7} }} \\ x = 32 \\  \\ { \tt{y = 83 \degree}}

5 0
2 years ago
Solve 2x-3&lt; 2<br>please answer it fast ​
murzikaleks [220]

Answer:

x<5/2

Step-by-step explanation:

We have

2x−3<2

Add 3 to both sides.

2x−3 +3 <2 +3

which makes

2x<5

Divide both sides by 2.

2x/2 < 5/2

x<5/2

4 0
2 years ago
*20 POINTS*
Paraphin [41]

Answer:

If you want to use the Rational Zeros Theorem, as instructed, you need to use synthetic division to find zeros until you get a quadratic remainder.

P: ±1, ±2, ±3, ±6  (all prime factors of constant term)

Q: ±1, ±7              (all prime factors of the leading coefficient)

P/Q: ±1, ±2, ±3, ±6, ±1/7, ±2/7, ±3/7, ±6/7  (all possible values of P/Q)

Now, start testing your values of P/Q in your polynomial:

f(x)=7x4-9x3-41x2+13x+6

You can tell f(1) and f(-1) are not zeros since they're not = 0Now try f(2) and f(-2):

f(2)=7(16)-9(8)-41(4)+13(2)+6

       112-72-164+26+6 ≠ 0

f(-2)=7(16)-9(-8)-41(4)+13(-2)+6

       112+72-164-26+6 = 0  OK!! There is a zero at x=-2

This means (x+2) is a factor of the polynomial.

Now, do synthetic division to find the polynomial that results from

(7x4-9x3-41x2+13x+6)÷(x+2):

-2⊥ 7   -9   -41    13     6

         -14   46   -10    -6          

      7  -23   5       3     0     The remainder is 0, as expected

The quotient is a polynomial of degree 3:

7x3-23x2+5x+3

Now, continue testing the P/Q values with this new polynomial.  Try f(3):

f(3)=7(27)-23(9)+5(3)+3

      189-207+15+3 = 0  OK!!  we found another zero at x=3

Now, another synthetic division:

3⊥ 7   -23    5     3

          21   -6   -3_

    7    -2    -1    0  

The quotient is a quadratic polynomial:

7x2-2x-1  This is not factorable, you need to apply the quadratic formula to find the 3rd and 4th zeros:

x= (1±2√2)÷7

The polynomial has 4 zeros at x=-2, 3, (1±2√2)÷7

Step-by-step explanation:

7 0
3 years ago
Find each missing measure.
Stolb23 [73]

Answer:

X=32

y=58

z=32

Hope that helps:)

3 0
3 years ago
Read 2 more answers
Write an expression that has 2 as a coefficient. Explain how you know the 2 is a coefficient.
galina1969 [7]

Answer:

2x = 8

Step-by-step explanation:

2 is the coefficient because the coefficient always comes before the variable. In this case the variable is X, and 2 comes right before that signaling that it is (2)(x).

Hope this helps!

6 0
2 years ago
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