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mestny [16]
2 years ago
5

Give the equation of the line in slope intercept form. y = 3x + [?] =​

Mathematics
1 answer:
Ray Of Light [21]2 years ago
6 0

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day. My name is Galaxy and I will be helping you today.

We can solve this problem in a single step, we just need to know how equations like this are set up.

Equations in slope intercept form are set up in y=mx+b form. With m being the slope of the line, and b being the y intercept.

In your problem, we need to find the value of b, which is the y intercept.

The y intercept is what is y when x is zero. We can find that by looking at the graph supplied.

When we look at the line, we can see that it hits the x axis when y is negative two, therefore the intercept is (0,-2).

Since we know that, we can reconstruct our equation with this information, we already know the slope so we can add in -2 to get our answer.

y=3x-2

This would be our final answer.

Cheers!

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Green paint is made by mixing blue, yellow and white paints in the ratio 2 : 7 : 1. How much blue paint is needed to make 64 lit
Lyrx [107]

Answer:

12.5 litres of Blue paint

Step-by-step explanation:

2+7+1=10

therefore;

10=64

2=??

cross-multiply

(2×64)÷10

answer= 12.4 liters or 12.5

6 0
3 years ago
What is the area of a triangle with vertices (3,0) (9,0) (7,6)
Nezavi [6.7K]

Answer:

The area of the triangle is of 21 units of area.

Step-by-step explanation:

The area of a triangle with three vertices (x_1,y_1),(x_2,y_2),(x_3,y_3) is given by the determinant of the following matrix:

A = \pm 0.5 \left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\1_3&y_3&1\end{array}\right|

In this question:

Vertices (3,0) (9,0) (7,6). So

A = \pm 0.5 \left|\begin{array}{ccc}3&0&1\\9&0&1\\7&7&1\end{array}\right|

A = \pm 0.5(3*0*1+0*1*7+1*9*7-0*7*1-0*9*1-3*1*7)

A = \pm 0.5*(63-21)

A = \pm 0.5*42 = 21

The area of the triangle is of 21 units of area.

5 0
3 years ago
HELPPPPP !!!
kifflom [539]

Answer:

(A) the subtraction property of equality

Step-by-step explanation:

Given

The steps in the question

Require

Justify step 2 to 3

Write out step 2:

-4x+9 = 2x+10

Apply subtraction property by subtracting 2x from both sides

-4x-2x+9 = 2x-2x+10

-6x+9 = 10

Notice that the above equation is represented in step 3.

<em>Hence, option A answers the question.</em>

7 0
3 years ago
Read 2 more answers
(Easy) For the following quadratic function, find the axis of symmetry, the vertex and the y-intercept. y = x^2 + 12x + 32
hammer [34]

Answer:

y  ( \times  + 6) 2 - 4

7 0
3 years ago
Read 2 more answers
PQ is tangent to the circle at C. In the circle, m (The figure is not drawn to scale.)
Yuri [45]

Answer:

65°

Step-by-step explanation:

From the figure we can see a circle.

It is given that, measure of arc AD = 80°  therefore m<ACD = 80/2 = 40°

Also m<D = 75°

<u>To find the measure of <DCQ</u>

We know that, an angle made by a tangent and chord is equal to the angle made by the angle made by the chord on other side of the circle.

Here m<DCQ = m<CAD

By using angle sum property,

m<CAD + m<ACD + m<D = 180

m<CAD + 40 + 75 = 180

m<CAD + 115 = 180

m<CAD = 180 - 115 = 65°

Therefore m<DCQ = m< CAD = 65°

The correct answer is third option.

5 0
4 years ago
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