All categories

2 years ago

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

Mathematics

1 answer:

likoan [24]2 years ago

6 0

y=3x+19

Step-by-step explanation:

equation parallel to y=3x+3 means having the same gradient .Here gradient is 3 where you equate equation with y=mx +c where m is the gradient and c is the y-intercept

Equation of line y=3x+c

you must find c ,replace point (-3,10) in equation y=3x+c

10=3(-3)+c

10=-9+c

10+9=c

c=19

equation of line parallel to y=3x+3 that passes through(-3,10) is y=3x+19

You might be interested in

If you are asked to provide a set of two or more numeric answers, separate them with commas. For example, to provide the year th

garik1379 [7]

Answer: Perimeter = 66 cm and area = $66\ m^2$

Step-by-step explanation:

The perimeter of rectangle is given by :-

$P=2(l+w)$ , where l is length and w is width of the rectangle.

Given : A rectangle has a length of 5.50 m and a width of 12.0 m .

Then, the perimeter of rectangle :

$P=2(12+5.50)\\\\\Rightarrow\ P=2(17.50)=35\ m$

Also, area of rectangle is given by :-

$A=l\times w=5.50\times12=66 \ m^2$

Area of rectangle = $66\ m^2$

3 0

3 years ago

Which is a factor of x2 + 5x – 24?<br> (x-6)<br> (x + 6)<br> (x-8)<br> (x + 8)

NikAS [45]

(x + 8) would be a factor

4 0

3 years ago

Read 2 more answers

Emmett went to the chocolate store and bought 5 pounds of chocolate. If 2⁄3 of the chocolate was white chocolate, how many pound

AleksandrR [38]

10/3 pounds white chocolate he bought

7 0

3 years ago

Read 2 more answers

On a coordinate grid, AB has an end point B at (24, 16). The midpoint of AB is P(4, -3). What is the y-coordinate of Point A?

inysia [295]

The y-coordinate of point A is -22

Step-by-step explanation:

Given

B = (24,16)

P = (4,-3)

The formula for mid-point of AB will be given by:

$P = (\frac{x_A+x_B}{2} , \frac{y_A+y_B}{2})$

As we already know the y-coordinate of midpoint

We can put the formula's y coordinate equal to the given value

$\frac{y_A+y_B}{2} = -3\\\frac{y_A + 16}{2 } = -3\\y_A+16 = -3 * 2\\y_A +16 = -6\\y_A = -6-16\\y_A = -22$

Hence,

The y-coordinate of point A is -22

Keywords: Mid-point, coordinate geometry

Learn more about coordinate geometry at:

#LearnwithBrainly

7 0

2 years ago

Find θ, 0° ≤ θ < 360°, given the following information.

ludmilkaskok [199]

Answer:

210°

Step-by-step explanation:

Given

sinΘ = - $\frac{1}{2}$

Note taken the inverse sine of the positive value of the ratio, gives the related acute angle, that is

Θ = $sin^{-1}$ ( $\frac{1}{2}$ ) = 30° ← related acute angle

Thus the required angle in the third quadrant is

Θ = 180° + 30° = 210°

3 0

2 years ago