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3 years ago

Ndicate in standard form the equation of the line through the given points. P(0, -4), Q(5, 1)

Mathematics

1 answer:

tatuchka [14]3 years ago

7 0

Answer:

y=x-4

Step-by-step explanation:

Standard form is y=mx+b

the coordinates (0, -4) tell you that the y intercept is at -4 which means b will be -4. To find slope you have to find the change in y over the change is x. 1--4=5 and 5-0=5. 5/5 is 1 so the slope, or m, is 1. x stays the same since it's the variable. it'll become y=1x-4 and since you don't have to place a coordinate of one in front of a variable, you can just write it as y=x-4

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il63 [147K]

Answer and Step-by-step explanation:

The answer is 5 units.

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2 years ago

Scaling up a 4 inch by 6 inch image by 50% results in which of the following image size

Monica [59]

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3 years ago

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A parallelogram has sides 10m and 12m and an angle of 45°. Find the distance between the 12m-sides.

stich3 [128]

Answer:

The distance between 12m-sides is $5\sqrt{2}m$ .

Step-by-step explanation:

It is given that the parallelogram has sides 10m and 12m and an angle of 45°.

Draw an altitude from one 12m side to another 12 m side as shown in below figure.

The opposite angles of parallelogram are same. Two angles are obtuse angles and two are acute angle.

Since angle C is acute angle therefore it must be 45 degree.

$\sin\theta=\frac{perpendicular}{hypotenuse}$

$\sin C=\frac{BE}{BC}$

$\sin(45^{\circ})=\frac{d}{10}$

$\frac{1}{\sqrt{2}}=\frac{d}{10}$

$\frac{10}{\sqrt{2}}=d$

$\frac{10}{\sqrt{2}}\times \frac{\sqrt{2}}{\sqrt{2}}=d$

$\frac{10\sqrt{2}}{2}=d$

$5\sqrt{2}=d$

Therefore the distance between 12m-sides is $5\sqrt{2}m$ .

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2 years ago

What is the name of the shape graphed by the function r = 2 - costheta

Afina-wow [57]

Answer:

limaçon (no inner loop)

Step-by-step explanation:

The equation of a limaçon is written generically as ...

r = b + a·cos(θ)

For b=2 and a=1, this would put the flat side on the left. Rotating it 180° can be accomplished by adding or subtracting π from θ. Then the equation can be ...

r = 2 + cos(θ-π) . . . . or ...

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2 years ago

Seven is 3 less than twice the number m

aleksley [76]

Answer:

m=5

Step-by-step explanation:

Let the number be represented by m.

Then twice the number m is represented as 2* m or 2m.

3 less than twice the number m = 2m -3

As per the question this value is 7.

Representing this in equation format:

=> 2m-3 = 7

=> 2m = 7+3 = 10

=> m= 10/2 = 5

Hence the number m is given by 5.

Verification:

Twice the number = 2* 5 = 10

3 less than twice the number m = 10 -3 = 7

This is the same as 7 as per the requirement.

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3 years ago

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