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3 years ago

What is y=2x+3 graphed

Mathematics

1 answer:

sergiy2304 [10]3 years ago

7 0

Answer:

y=2x−3 is in slope intercept form for a linear equation, y=mx+b , where m is the slope and b is the y-intercept. The y-intercept is the point at which x=0 and y=−3 , which is point (0,−3) You can plot this point on your graph. The slope is can be described as riserun , and can be written as 21 .

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Write the solution to the given inequality in interval notation.

DIA [1.3K]

Option A: $[4, \infty)$ is the solution

Explanation:

The solution of the given inequality is the set of all the possible values of x.

The graph shows the number line in which the shaded region is from the right of -4 and the arrow of solution goes to infinity.

Also, There is a closed circle at the point -4.

This means that -4 is included in the solution set.

The solution to the inequality is the set of all the real values which are greater than or equal to -4.

Thus, the solution is x ≥ -4

Hence, the solution is $[4, \infty)$

4 0

3 years ago

find the equation of the perpendicular bisector of segment ab with endpoints a=2,2 and b=-4,6 if the perpendicular bisector inte

aleksklad [387]

Equation of perpendicular bisector is , $y=\frac{3}{2} x+\frac{11}{2}$

Length of both pa and pb are $\sqrt{\frac{65}{4} }$ unit.

Slope of segment ab is, $\frac{6-2}{-4-2} =-\frac{2}{3}$

So, slope of perpendicular bisector will be, negative of reciprocal of slope of segment ab.

Therefore, slope of perpendicular bisector is, $\frac{3}{2}$

Since, perpendicular bisector passes through the mid point of segment ab.

So, coordinate of mid point of segment ab is,

$(\frac{2-4}{2},\frac{2+6}{2} )=(-1,4)$

Thus, perpendicular bisector of ab passing through (- 1, 4) and have slope 3/2.

So, equation of angle bisector is,

$y=\frac{3}{2} x+\frac{11}{2}$

Since, the perpendicular bisector intersects the y-axis at point p

So, coordinate of point p is (0, 11/2)

By applying distance formula,

$pa=\sqrt{(2-0)^{2}+(2-11/2)^{2} }\\\\ =\sqrt{4+\frac{49}{4} }\\\\ =\sqrt{\frac{65}{4} }$

$pb=\sqrt{(-4-0)^{2}+(6-11/2)^{2} }\\\\ =\sqrt{16+\frac{1}{4} }\\\\ =\sqrt{\frac{65}{4} }$

Learn more,

https://brainly.in/question/31510165

8 0

3 years ago

The Peterson's drove 562.5 miles in 12.3 hours. The Castillo's drove 353.6 miles in 8 hours. On average, who was driving at a fa

m_a_m_a [10]

Set up 2 proportions

562.5 over 12.3 = x over 1

and

353.6 over 8 = x over 1

then cross multiply both of them

12.3x = 562.5

and

8x = 353.6

then divide both of them

round
x = 45.73

and

x = 44.2

based on those answers the petersons were driving faster

3 0

4 years ago

-3.1x+7-7.4x＝1.5x-6(x-3\2)

Sholpan [36]

Answer:

Let's solve your equation step-by-step.

−3.1x+7−7.4x=1.5x−6(x−

)

Step 1: Simplify both sides of the equation.

−3.1x+7−7.4x=1.5x−6(x−

)

−3.1x+7+−7.4x=1.5x+(−6)(x)+(−6)(

−3

)(Distribute)

−3.1x+7+−7.4x=1.5x+−6x+9

(−3.1x+−7.4x)+(7)=(1.5x+−6x)+(9)(Combine Like Terms)

−10.5x+7=−4.5x+9

Step 2: Add 4.5x to both sides.

−10.5x+7+4.5x=−4.5x+9+4.5x

−6x+7=9

Step 3: Subtract 7 from both sides.

−6x+7−7=9−7

−6x=2

Step 4: Divide both sides by -6.

−6x. /−6

2/−6

−1/3

6 0

3 years ago

Find the sum of the first 39 terms of the following series, to the nearest integer. 2 , 7 , 12 , . . .

kodGreya [7K]

Answer:

let'ssssssssss gooooooooooooooooooooooooooooooooooooooooooooooooo

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers