All categories

3 years ago

A line has a slope of 5 and includes the points (1,t) and (3,2). What is the value of t?

Mathematics

1 answer:

bogdanovich [222]3 years ago

5 0

Hello!

$\large\boxed{t = -8}$

We can find the value of t using the slope formula:

$slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Plug in the given slope and coordinates into the appropriate places:

$5 = \frac{2-t}{3-1}$

Simplify:

$5 = \frac{2-t}{2}$

Multiply both sides by 2 to begin isolating for t. Simplify and solve for t:

$5 * 2 = 2 - t\\\\10 = 2 - t\\\\8 = -t\\\\t = 8$

You might be interested in

If a pond has a major axis of 68 feet and a minor axis of 32 feet how far apart are the foci

Bogdan [553]

Answer:

The distance between foci is 60 feet

Step-by-step explanation:

we are given

a pond has a major axis of 68 feet

so, $a=\frac{68}{2} =34$

a minor axis of 32 feet

so, $b=\frac{32}{2} =16$

now, we know ellipse formula

$c^2=a^2-b^2$

where

c is the distance between center and focus

so, we can plug it and find c

$c^2=34^2-16^2$

$c=30$

Distance between foci is

$=2c$

$=2\times 30$

$=60$

6 0

3 years ago

Which number is the smallest? 5.6123 5.6245 5.6023 5.6985

alexandr402 [8]

5.6023, hope this helps!

4 0

3 years ago

Evaluate the expression. P(9, 3) · P(5, 4)

boyakko [2]

Answer:

$P(9,3) *P(5,4)$

And if we use the permutation formula given by:

$nPx = \frac{n!}{(n-x)!}$

And replacing we got:

$\frac{9!}{6!} \frac{5!}{4!}= 504*5 = 2520$

Step-by-step explanation:

For this problem we want to find the following expressionÑ

$P(9,3) *P(5,4)$

And if we use the permutation formula given by:

$nPx = \frac{n!}{(n-x)!}$

And replacing we got:

$\frac{9!}{6!} \frac{5!}{4!}= 504*5 = 2520$

6 0

3 years ago

What is x? I tried it but I don’t think I did it right.

sattari [20]

Answer:

x = 4

Step-by-step explanation:

When a tangent and a secant are drawn from an external point to a circle.

Then the product of the external part of the secant and the entire secant and the square of the measure of the tangent are equal, hence

x(x + 5) = 6²

x² + 5x = 36 ( subtract 36 from both sides )

x² + 5x - 36 = 0 ← in standard form

(x + 9)(x - 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 9 = 0 ⇒ x = - 9

x - 4 = 0 ⇒ x = 4

However, x > 0 ⇒ x = 4

8 0

3 years ago

Shau-uen solve the equation 18.5w+6.5w-2.8w=149.1 Her work is shown below

Ghella [55]

The answer is

C.- step 3

5 0

3 years ago

Read 2 more answers