All categories

2 years ago

Write an equation of the line that passes through (2, -5) and is parallel to the line 2y = 3x + 10.

Mathematics

1 answer:

Leto [7]2 years ago

8 0

Answer:

Use the given slope and point to substitute into the point-slope formula y−y1=m(x−x1).

Slope-intercept form:

y=3x²+4x−25

Point-slope form:

y+5=(3x+10)⋅(x−2)

Step-by-step explanation:

You might be interested in

There are 12 balls in a bag. One is blue and one is red. What is the exact probability that the blue ball is drawn first and the

Fiesta28 [93]

<h3>The exact probability that the blue ball is drawn first and the red ball is drawn second is $\frac{1}{132}$ </h3>

Solution:

The probability of an event is given as:

$Probability = \frac{ \text{ number of favorable outcomes }}{ \text{ total number of possible outcomes }}$

Given that,

There are 12 balls in a bag

One is blue and one is red

Favorable outcome = blue ball is drawn first

Favorable outcome = 1

Therefore,

$Probability = \frac{1}{12}$

Now, without replacement, red ball is drawn second

Therefore,

Total possible outcomes = 12 - 1 = 11

$Probability = \frac{1}{11}$

What is the exact probability that the blue ball is drawn first and the red ball is drawn second?

$Total\ probability = \frac{1}{12} \times \frac{1}{11} = \frac{1}{132}$

Thus the exact probability that the blue ball is drawn first and the red ball is drawn second is $\frac{1}{132}$

8 0

3 years ago

About 400,000 people visited an art museum in December. What could be the exact number of people who visited the art museum

Zigmanuir [339]

The answer is 359,572

8 0

2 years ago

Read 2 more answers

In quadrilateral abcd the measures of the angles are represented by measure angle a=6x-2, measure angle b=6x+5, measure angle c=

OleMash [197]

$\bf \textit{sum of all interior angles in a polygon}\\\\ S = 180(n-2)~~ \begin{cases} n=\stackrel{number~of}{sides}\\[-0.5em] \hrulefill\\ n = \stackrel{quadrilateral}{4} \end{cases} \\\\\\ \stackrel{\measuredangle a}{(6x-2)}~~+~~\stackrel{\measuredangle b}{(6x+5)}~~+~~\stackrel{\measuredangle c}{(8x+2)}~~+~~\stackrel{\measuredangle d}{(3x+10)}~~=~~180(4-2)$

$\bf 23x+15=180(2)\implies 23x+15=360\implies 23x=345 \\\\\\ x = \cfrac{345}{23}\implies \boxed{x = 15} \\\\\\ \stackrel{\measuredangle c}{8x+2}\implies 8(15)+2\implies 122$

8 0

2 years ago

Read 2 more answers

The table shows how Mura spends her free time on a typical Saturday.if she has 6hours of free time how many hours does she spend

ycow [4]

$undefined$

3 0

1 year ago

I need help ASAP!!!!!!!!!!!!!

Ede4ka [16]

The first question is 50% because a total of 30 girls bought lunches out of 60 kids

the second question, the easiest way is to plug in the x and y coordinates
3(4) - 2(0) = 12
12-0=12
12=12
because 12 = 12 is true, the first pair is the answer

4 0

3 years ago

Read 2 more answers