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3 years ago

What are the intercepts of the equation? Graph the equation. -3x + 4y = -12

Mathematics

2 answers:

nata0808 [166]3 years ago

7 0

X-intercept = 4Y-intercept = -3

Tpy6a [65]3 years ago

6 0

Answer: The x -intercept of the line is (4,0).

The y-intercept of the line is (0,-3).

Step-by-step explanation:

The given equation of a line : $-3x + 4y = -12$

We know that the intercept of a line are the points on line where it crosses te x -axis or y-axis.

To find the x- intercept , substitute y=0 in the above equation , we get

$-3x+4(0)=-12\\\\\Rightarrow\ x=\dfrac{-12}{-3}=4$

Thus, the x -intercept of the line is (4,0)

To find the y- intercept , substitute x=0 in the above equation , we get

$-3(0)+4y=-12\\\\\Rightarrow\ y=\dfrac{-12}{4}=-3$

Thus, the y-intercept of the line is (0,-3)

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The sum of three consecutive integers is -51 what is the value of the smallest number

zubka84 [21]

Answer: Let's say the first number is x, the next one is x+1, and so on

Step-by-step explanation:

x + (x + 1) + (x + 2) = -51

x + x + 1 + x + 2 = -51

3x + 3 = -51

3x = -54

x = -18

8 0

3 years ago

5) You randomly choose a marble from a jar. The jar contains 4 red

Dmitry [639]

the probability of the event choosing a yellow marble is 2/9 .

<u>Step-by-step explanation:</u>

Here we have , to choose a marble from a jar. The jar contains 4 red

marbles, 10 blue marbles, 7 green marbles, and 6 yellow marbles. We need to Find the probability of the event choosing a yellow marble . Let's find out:

According to question question we have following parameters as :

Red marbles = 4

Blue marbles =10

Green marbles = 7

Yellow marbles = 6

Now , Probability to chose a yellow marble is :

Favorable outcomes = 6(Number of yellow marbles )

Total outcomes = 4+10+7+6 = 27( Total marbles )

Hence ,

⇒ $Probability = \frac{6}{27}$

⇒ $Probability = \frac{2}{9}$

Therefore , the probability of the event choosing a yellow marble is 2/9 .

4 0

3 years ago

Read 2 more answers

Which equation represents the value of x? x=100−y2−−−−−−−√ x=10+y2 x=10−y x=y2+100−−−−−−−√ Right triangle A B C with angle B as

Nostrana [21]

Answer:

Therefore the required value of x,

$x=\sqrt{(100-y^{2})}$

Step-by-step explanation:

Given:

ΔBC is a Right Angle Triangle at ∠ B = 90°

As ∠ B = 90° , AC will be the Hypotenuse

AC = 10 = Hypotenuse

BC = y = Longer leg ( say )

AB = x = Shorter leg ( say )

To Find :

x = ?

Solution:

In Right Angle Triangle Δ ABC , By Pythagoras Theorem we get

$(\textrm{Hypotenuse})^{2} = (\textrm{Shorter leg})^{2}+(\textrm{Longer leg})^{2}$

Substituting the given values we get

$10^{2}= x^{2}+y^{2} \\\\x^{2}=100-y^{2} \\\\\textrm{square rooting on both the side we get}\\\\x=\sqrt{(100-y^{2})}\\\therefore x=\sqrt{(100-y^{2})}\ \textrm{ which is the required value of x}$

Therefore the required value of x,

$x=\sqrt{(100-y^{2})}$

8 0

3 years ago

FRACTIONS

Vladimir79 [104]

The complete fraction is 24/30=4/5

<h3>How to create an equivalent fraction?</h3>

The expression is given as:

blank over 30=4/5

Represent the blank with x.

So, we have:

x/30=4/5

Multiply both sides by 30

x = 30 * 4/5

Evaluate

x = 24

Substitute x = 24 in x/30=4/5

24/30=4/5

Hence, the complete fraction is 24/30=4/5