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Anastasy [175]
3 years ago
15

What is the equation of the line that began with a y-intercept of (0,4), was shifted up 3 units, and is perpendicular to y = 3/4

x-2?
answer choices:

A. y=-4/3x+7

B. y=-3/4x+7

C. y=-3/4x+4

D. y=-4/3x+4
Mathematics
1 answer:
timama [110]3 years ago
7 0

Answer:

Option A

y=-4/3x+7

Step-by-step explanation:

To solve this, we need to understand the various components of the equation of a straight line.

A straight line has the equation: y =mx + c

<em>m</em> is the slope and<em> c</em> is the intercept on the y-axis. If we can get these two components, we can figure out the equation for the new line.

Calculating the slope, <em>m</em>

To obtain the slope of the new line, we use the fact that it is perpendicular to the slope of the line y = 3/4x-2.

This means that

3/4 X <em>m</em> = -1

<em>m</em> = -4/3

To obtain the intercept, <em>c</em>

The intercept can be obtained by adding 3 to the y-component of (0, 4).

This will give (0, 7). Hence the intercept c will be 7.

Therefore, the equation of the line will be y = -4/3x+7. Option A

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Is this equation an infinite solution, no solution, or one solution?? 7(2+5x) = 3x + 14
shusha [124]

Answer:

One Solution

Step-by-step explanation:

Once you solve the equation, you get 0 which satisfies for X, therefore it has a solution.

7 0
3 years ago
Graph the linear equation x-3y=-6
TEA [102]

Answer:

Step-by-step explanation:

One of the easier approaches to graphing a linear equation such as this one is to solve it for y, which gives us both the slope of the line and the y-intercept.

x-3y=-6 → -3y = -x - 6,  or 3y = x + 6.

Dividing both sides by 3, we get   y = (1/3)x + 2.

So the slope of this line is 1/3 and the y-intercept is 2.

Plot a dot at (0, 2).  This is the y-intercept.  Now move your pencil point from that dot 3 spaces to the right and then 1 space up.  Draw a line thru these two dots.  End.

Alternatively, you could use the intercept method.  We have already found that the y-intercept is (0, 2).  To find the x-intercept, let y = 0.  Then x = -6, and the x-intercept is (-6, 0).

Plot both (0, 2) and (-6, 0) and draw a line thru these points.  Same graph.

7 0
4 years ago
Read 2 more answers
What is the solution to 9x−6&lt;21?
OverLord2011 [107]

Answer:

x < 3

Step-by-step explanation:

Solve it like a normal equation

Isolate the variable along with  its constant

9x - 6 + 6< 21 + 6

9x < 27

Isolate the variable its self

9x/9 < 27/9

x < 3

<h2>REMEMBER : ONLY FLIP THE INEQUALITY SIGN WHEN <u>MULTIPLYING</u> OR <u>DIVIDING</u> BY A <u>NEGATIVE NUMBER</u></h2>
7 0
3 years ago
Steven purchases a bowl. THe diameter of the bowl is 14cm. What is the area of the bowl?
stellarik [79]

Answer: 153.86cm

Step-by-step explanation:

A bowl represents a circle

Area of a circle is pir2

But here we are given the diameter as 14

Diameter = 2radii

14=2r

R=14/2

R=7

So radius of the bowl is 7cm

Back to the formula

Area of a circle is pir2

Pi=3.14

Substitute for each value

Area= 3.14×7^2

Area= 3.14×49

Area= 153.86cm

Area= ~154cm

8 0
3 years ago
Read 2 more answers
What is the value of x?<br><br> 27(x+4)=−6<br><br><br> −35<br><br> −25<br><br> 25<br><br> 35
Oksanka [162]

x = -38/9 !!!


27(x+4)=−6

Step 1: Simplify both sides of the equation.

27(x+4)=−6

(27)(x)+(27)(4)=−6 (Distribute)

27x+108=−6

Step 2: Subtract 108 from both sides.

27x+108−108=−6−108

27x=−114

Step 3: Divide both sides by 27.

27x/27=−114/27

x=−389

6 0
3 years ago
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