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Oduvanchick [21]
3 years ago
9

True o r False: y = - 5x + 7 is the equation of a line that passes through the point (3,6) and has a slope of - 5.

Mathematics
1 answer:
Gala2k [10]3 years ago
8 0

Answer:

False

Step-by-step explanation:

The equation in slope-intercept form of a line is y=mx+b, where x and y can represent a point on the line by using the coordinates (x,y), m is the slope, and b is the y intercept.

To double check this equation, plug in the coordinates of the point (3,6) to make sure both sides of the equation equal to each other.

6 = -5(3) + 7

6 = -15 + 7

6 = -8

6 \neq -8

Because the equation is invalid, the line does not pass through these points.

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Area of circular pond=22/7×14×14

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2 years ago
A nontoxic furniture polish can be made by combining vinegar and olive oil. The amount of oil should be three times the amount o
DENIUS [597]
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Because the total amount of furniture polish is 30 ounces, we will need to write one part vinegar to three parts oil as a part to part to whole ratio.

Use this information then and create an equivalent ratio with a total of 30 ounces. See below.

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7 0
3 years ago
In triangle ΔABC, ∠C is a right angle and CD is the height to
Zina [86]

Answer:

m\angle CDB=90\\m\angle CBD=90-\alpha\\m\angle BCD=\alpha\\\\m\angle CDA=90\\m\angle CAD=\alpha\\m\angle ACD=90-\alpha

Step-by-step explanation:

The triangles are drawn below.

CD is perpendicular to AB as CD is height to AB.

Therefore, angles m\angle CDB=m\angle CDA=90°

So, triangles ΔCBD and ΔCAD are right angled triangles.

Now, from the right angled triangle ΔABC,

m\angle A+m\angle B =90\\\alpha+m\angle B=90\\m\angle B=90-\alpha

From ΔCBD,

m\angle CBD is same as m\angle B.

So, m\angle CBD=90-\alpha

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Now, from ΔCAD,

m\angle CAD is same as m\angle A

So, m\angle CAD=\alpha

m\angle CAD+m\angle ACD =90\\\alpha+m\angle ACD=90\\m\angle ACD=90-\alpha

Hence, the unknown angles of both the triangles are:

m\angle CDB=90\\m\angle CBD=90-\alpha\\m\angle BCD=\alpha\\\\m\angle CDA=90\\m\angle CAD=\alpha\\m\angle ACD=90-\alpha

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