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Anvisha [2.4K]
3 years ago
7

How would you solve this(what is the equation of the line that passes through the point (3,4) and has a slope of -2/3?)//delta m

ath//

Mathematics
1 answer:
andre [41]3 years ago
6 0

Answer:

y = -\frac{2}{3}x + 6

Step-by-step explanation:

y = mx + b is the formula for slope intercept. What we can do is plug in the slope and coordinate points to find the y-intercept.

4 = -\frac{2}{3}(3) + b

-2/3 times 3 is -2 so you can fill that in place.

4 = -2 + b

<u>+2   +2     </u>

6 = b

So the y-intercept is 6 now we can complete the equation.

y = -\frac{2}{3}x + 6

Hope that helps and have a great day!

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5. Lauren is saving for gymnastics camp, Camp costs $225 to attend. She has 40 percent of the money saved. How much money has sh
barxatty [35]
To solve this problem you have to convert the percentage to a decimal which would
be .40.

40% =40/100=.40


After doing so all you need to do is divide the amount needed by the percentage which gives you the amount she has saved.

225/.40= $90

Lauren has $90 saved
3 0
3 years ago
In circle O, RT and SU are diameters.
nataly862011 [7]

In circle O, RT and SU are diameters. mArc R V = mArc V U = 64°. Thus, option C is correct.

Given that:

mArc R V = mArc V U,

Angle S O R = 13 x degrees

Angle T O U = 15 x - 8 degrees

<h3>How to calculate the angle TOU ?</h3>

∠SOR = ∠TOU  (Vertically opposite angles are equal).

Therefore:

13 x = 15x - 8

Subtracting 13x from both sides

13x - 13x = 15x - 8 - 13x

0 = 15x - 13x - 8

2x - 8 = 0

Adding 8 to both sides:

2x - 8 + 8 = 0 + 8

2x = 8

2x/2 = 8/2  

x = 4

∠SOR = 13x

= 13(4)

= 52°

∠TOU = 15x - 8

= 15(4) - 8

= 60 - 8

= 52°

Let a = mArc R V = mArc V U

Therefore:

mArc R V + mArc V U + ∠TOU = 180 (sum of angles on a straight line)

Substituting:

a + a + 52 = 180

2a = 180-52

2a = 128

a = 128/2

a= 64°

mArc R V = mArc V U = 64°

In circle O, RT and SU are diameters. mArc R V = mArc V U = 64°. Thus, option C is correct.

Learn more about angles here:

brainly.com/question/2882938

#SPJ1

6 0
1 year ago
to build the garden of your dreams you need 11 m^3 of coil containing 46% clay. you have two types of soil you can combine to ac
aivan3 [116]

Answer: 9m^3 of soil with 50% clay and 2m^3 of soil with 28% clay is required

Step-by-step explanation:

Let x represent the quantity of the soil containing 50% clay that you would use.

Let y represent the quantity of the soil containing 28% clay that you would use.

To build the garden of your dreams you need 11 m^3 of soil.

x + y = 11 - - - - - - - - -1

Since the soil must contain 46% clay, the total amount of clay required is 46/100 × 11 = 5.06 m^3.

you have two types of soil you can combine to achieve this: soil with 50% clay and soil with 28% clay. This means that the quantity of both soils required to achieve 5.06 m^3 will be

0.5x + 0.28y = 5.06 - - - - - - - -2

Substituting x = 11 - y into equation 1, it becomes

0.5(11 - y) + 0.28y = 5.06

5.5 - 0.5y + 0.28y = 5.06

- 0.5y + 0.28y = 5.06 - 5.5

- 0.22y = - 0.44

y = - 0.44/ -0.22 = 2

Substituting y = 2 into x = 11 - y, it becomes

x = 11 - 2 = 9

7 0
3 years ago
Aryon has $15. He buys 2 Cokes that each cost $1.00. He also buys a
fenix001 [56]
15.00-5.00-2.00-2.00= $6.00
7 0
2 years ago
I AM MARINETTE JUST A NORMAL GIRL IN A NORMAL LIFE...
Rainbow [258]

Answer:

ew

Step-by-step explanation:

5 0
2 years ago
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