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Eva8 [605]
2 years ago
14

What is the equation of the line that passes through the point (5,-2) and has a slope of 6/5?

Mathematics
1 answer:
noname [10]2 years ago
6 0

Answer:

y=6/5x-8

Step-by-step explanation:

Hi there!

We want to find the equation of the line that passes through (5, -2) and has the slope of 6/5

We can write the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.

Since we are already given the slope of the line, we can immediately plug it into the equation:

y=6/5x+b

Now we need to find b

Since the equation passes through the point (5, -2), we can use it to solve for b

Substitute 5 as x and -2 as y:

-2=6/5(5)+b

Multiply

-2=6+b

Subtract 6 from both sides

-8=b

Substitute -8 as b.

y=6/5x-8

Hope this helps!

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What is the perimeter of the shape below, given a = 9.60, b = 9.33, c = 4.46, d = 8.56, e = 8.61
GalinKa [24]

Answer:

The perimeter of the shape is of 40.56 units.

Step-by-step explanation:

Perimeter of a shape:

The perimeter of a shape is the sum of the lengths of all its sides.

In this question:

The sides are a = 9.60, b = 9.33, c = 4.46, d = 8.56, e = 8.61.

So

P = a + b + c + d + e = 9.6 + 9.33 + 4.46 + 8.56 + 8.61 = 40.56

The perimeter of the shape is of 40.56 units.

3 0
3 years ago
A florist owns two flower shops. The profit for the month of June at the first location can be represented by the function p(x)=
Dmitrij [34]

Answer:

r(x) = 38x + 375

Step-by-step explanation:

Given:

Profit in the month of June from first location is p(x)=202+21x

Profit in the month of June from second location is q(x)=17x+173

Now, total profit from the two locations can be obtained by adding the profits from each of the two locations.

Now, adding both the profits, we get:

r(x)=p(x)+q(x)

Plug in the given values and simplify. This gives,

r(x)=202+21x+17x+173

Now, we need to combine the like terms using commutative property.

Therefore, rearranging the terms, we get:

r(x)=21x+17x+202+173\\\\r(x)=38x+375

Therefore, the correct option is the first option.

5 0
3 years ago
Triangle WXY is isosceles. ∠YWX and ∠YXW are the base angles. YZ bisects ∠WYX. m∠XYZ = (15x)°. m∠YXZ = (2x + 5)°. What is the me
DiKsa [7]

Answer:

Option D is correct.

The measure of \angleWYX = 150^{\circ}

Step-by-step explanation:

\triangle WXY is isosceles  and \angle YWX and \angle YXW are base angles.

Isosceles Triangle:

A triangle with two equal sides, and two congruent base angles that means the angles are equal

By the definition, the base angles are equal i.e, m\angle YWX=m\angle YXW

Since, YZ bisects m\angle WYX

Angle Bisector theorem: An angle bisector is a line or ray that divides an angle into two equal angles

then, \angle WYX =2\angle XYZ or

Substitute the value of \angle XYZ=(15x)^{\circ} ;

\angle WYX =2(15x)^{\circ} = (30x)^{\circ}

The sum of measures of these three angles of  triangle WXY is equal to the 180 degree.

In triangle WXY we have;

\angle YXW+\angle WYX+\angle YWX=180^{\circ}

Substitute the value of m\angle YWX=m\angle YXW=(2x+5)^{\circ} and \angle WYX=(30x)^{\circ} in above formula:

2\angle YXW+30x=180^{\circ} or

2\cdot(2x+5)+30x=180^{\circ}

Simplify:

4x+10+30x=180^{\circ}

Combine like terms ;

34x+10^{\circ}=180^{\circ} or

34x=170^{\circ}

Simplify;

x= \frac{170}{34} =5^{\circ}

Substitute the value of x in  \angle WYX;

\angleWYX = (30x)^{\circ} = 30 \cdot 5 = 150^{\circ}

Therefore, the measure of \angleWYX = 150^{\circ}






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