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LenaWriter [7]
3 years ago
7

Determine the intercepts of the line.

Mathematics
1 answer:
natulia [17]3 years ago
5 0

Answer:

Find in Step by Step

Step-by-step explanation:

 x-intercept = 26/-4 = 13/-2 = -6.50000

y-intercept = 26/1 = 26.00000

Slope = 8.000/2.000 = 4.000

Equation at the end of step  1  :

 (y - 6) -  4 • (x + 5)  = 0  

Step  2  :

Equation at the end of step  2  :

 y - 4x - 26  = 0  

Step  3  :

Equation of a Straight Line

3.1     Solve   y-4x-26  = 0

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3 years ago
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What is the value of y? Enter your answer in the box. y = An isosceles triangle with vertices labeled A, B, and C. Side B C is t
masha68 [24]

Answer:

y = 5

Step-by-step explanation:

Given:

An isosceles triangle ABC with AB = AC.

∠A = (4y+10)\°

∠B = 75\°

∠C = (3x)\°

We know that, for an isosceles triangle, the angles opposite equal sides are also equal to each other.

Therefore, ∠B = ∠C

⇒ 75 = 3x

⇒ x=\frac{75}{3}=25

∴ ∠C = 3\times 25=75°

Now, the sum of all the interior angles of a triangle is always 180°.

\angle A + \angle B + \angle C=180\\(4y+10)+75+75=180\\4y+10+150=180\\4y+160=180\\4y=180-160\\4y=20\\y=\frac{20}{4}=5

Therefore, the value of 'y' is 5.

5 0
3 years ago
What is the equation of a line that is parallel to the line 2x + 5y = 10 and passes through the point (–5, 1)? Check all that ap
Bond [772]

So the right options are:

y=-\frac{2}{5}x-1

2x+5y = -5

y-1=-\frac{2}{5}(x+5)

Further explanation:

Given equation of line is:

2x+5y=10

We have to convert it into point-slope form

2x+5y=10\\5y=-2x+10\\Dividing\ both\ sides\ by\ 5\\y=-\frac{2}{5}x+\frac{10}{5}\\y=-\frac{2}{5}x+2

The co-efficient of x is the slope of the line

So,

m= -\frac{2}{5}

As the required line is parallel to given line, it will also have same slope.

Let m1 be the slope of required line

Then the line will be:

y=m_1x+b

Putting the value of slope

y=\frac{2}{5}x+b

Putting (-5,1) in the equation to find the value of b

1=-\frac{2}{5}(-5)+b\\1=2+b\\b=1-2\\b=-1

Putting the values of slope and b in equation

y=-\frac{2}{5}x-1

Multiplying the whole equation by 5 will give us:

5y = -2x-5

2x+5y = -5

Another form of equation of line is Point-slope form

y-y_1=m(x-x_1)

Putting the values of slope and point in the equation, we get

y-1=-\frac{2}{5}(x+5)

So the right options are:

y=-\frac{2}{5}x-1

2x+5y = -5

y-1=-\frac{2}{5}(x+5)

Keywords: Point-Slope form, Parallel lines

Learn more about point slope form at:

  • brainly.com/question/4464845
  • brainly.com/question/4522984

#LearnwithBrainly

4 0
3 years ago
Read 2 more answers
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