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3 years ago

(Help, please! I'll give the branliest to whoever figures it out first!)

Mathematics

2 answers:

Burka [1]3 years ago

6 0

C. 1, all the other answers are negative

taurus [48]3 years ago

4 0

just C thats it............................... lol sorry i put dots to make it longer

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AB has coordinates A(-5,9) and B(7,- 7). Points P, Q, and I are collinear

VMariaS [17]

Answer:

$\overline{QT}$

Step-by-step explanation:

We want to find the coordinates of a certain point C(x,y) such that C divides $A(x_1,y_1)$ and $B(x_2,y_2)$ in the ratio m:n=3:2

The x-coordinate is given by:

$x=\frac{mx_2+nx_1}{m+n}$

The y-coordinate is given by:

$y=\frac{my_2+ny_1}{m+n}$

AB has coordinates A(-5,9) and B(7,- 7)

We substitute the values to get:

$x=\frac{3*7+2*-5}{3+2}$

$x=\frac{21-10}{5}$

$x=\frac{11}{5}$

and

$y=\frac{3*-7+2*9}{3+2}$

$y=\frac{-21+18}{5}$

$y=-\frac{3}{5}$

Therefore C has coordinates $(\frac{11}{5},-\frac{3}{5})$

The line segment that contains C is $\overline{QT}$

See attachment.

6 0

3 years ago

For f(x)=3x+1 and g(x)=x²-6, find (f-g)(x)

Lorico [155]

The value of (f - g)(x) is -x² + 3x + 7.

<h3>What is Function?</h3>

The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, the given functions are;

f(x) = 3x + 1

g(x) = x² - 6

Now,

(f - g)(x) = f(x) - g(x)

= (3x + 1) - (x² - 6)

= 3x + 1 - x² + 6

(f - g)(x) = -x² + 3x + 7

Thus, the value of (f - g)(x) is -x² + 3x + 7.

Learn more about Function from:

brainly.com/question/12431044

#SPJ1

8 0

3 years ago

Read 2 more answers

We want to factor the following expression: (x 3)^2 14(x 3) 49(x 3) 2 14(x 3) 49(, x, plus, 3, ), squared, plus, 14, (, x, plus,

Nesterboy [21]

Answer:

$U = x$

$V=10$

Step-by-step explanation:

Given

$(x +3)^2 + 14(x + 3) + 49 = (U + V)^2$

Required

Find U and V

We have:

$(x +3)^2 + 14(x + 3) + 49 = (U + V)^2$

Expand

$x^2 + 6x + 9 + 14x + 42 + 49 = (U + V)^2$

Collect like terms

$x^2 + 6x + 14x + 9 + 42 + 49 = (U + V)^2$

$x^2 + 20x + 100 = (U + V)^2$

Expand

$x^2 + 10x + 10x + 100 = (U + V)^2$

Group

$[x^2 + 10x] + [10x + 100] = (U + V)^2$

Factorize each group

$x[x + 10] + 10[x + 10] = (U + V)^2$

Factor out x + 10

$[x + 10][x + 10] = (U + V)^2$

So, we have:

$[x + 10]^2 = (U + V)^2$

By comparison

$U = x$

$V=10$

7 0

3 years ago

Simplify (8 + 7i) + (2 – i)<br> A) 10 + 6i <br> B) 16 <br> C) 4 <br> D) 10 + 8i

AysviL [449]

10 + 6 i

...................

7 0

3 years ago

Read 2 more answers

Find a8 when a1 = 40,000, r = 0.1

Sindrei [870]

Answer:

a8 = 0.004

Step-by-step explanation:

Q is abt a geometric series given by the eqn: an = a1*r^(n-1)

given a1 = 40000, r = 0.1

an = 40000*(0.1)^(n-1)

a8 = 40000*(0.1)^(8-1)

= 40000*(0.1)^7

= 0.004

3 0

3 years ago

Read 2 more answers