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2 years ago

Write the equation that passes through the given point and has the slope indicated: (1, -3); with slope (-3/5)

Mathematics

1 answer:

TiliK225 [7]2 years ago

6 0

Answer:

y = -3/5x - 12/5

Step-by-step explanation:

The equation I'm going to give is going to be in slope-intercept form. If you need it in point-slope, I can do so in an edit or the comments.

Slope-intercept form is: y = mx + b where m is the slope, b is the y-intercept.

So let's plug in our given slope:

y = -3/5x + b

Using this, we now plug in our x- and y-coordinates from the given point to solve for b.

-3 = -3/5(1) + b

-3 = -3/5 + b

Add 3/5 to both sides to isolate variable b.

-3 + 3/5 = b

-15/5 + 3/5 = b

-12/5 = b

Plug this new info back into the original equation and your answer is

y = -3/5x - 12/5

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Two agent angles of a parallelogram are in the ratio 1 by 3 find the measures of all the angles

zalisa [80]

Answer:

The measure of all the angles are;

45°, 135°, 45°, and 135°

Step-by-step explanation:

The given parameters are;

The ratio of two adjacent angles of the parallelogram = 1:3

Let x represent one of the adjacent angles, and let y represent the other adjacent angle

Given that two adjacent angles of a parallelogram are supplementary, we have;

x + y = 180°

x:y = 1:3

Therefore, y = 3 × x = 3·x, which gives;

x + 3·x = 180°

4·x = 180°

x = 180°/4 = 45°

y = 3 × x = 3 × 45° = 135°

Given that opposite interior angles of a parallelogram are equal, we have, the measure of all the angles are;

45°, 135°, 45°, and 135°.

8 0

2 years ago

If your good in math please help me

Feliz [49]

Answer:

350.82

Step-by-step explanation:

To find the surface area, you must add up all of the areas of each shape of the prism in order to get the sum surface area.

The rectangle's area ( $lw$ ):

$7.21*14=100.94$

The triangle's area ( $\frac{1}{2}bh$ ):

$\frac{1}{2} (6)(8)$

$\frac{1}{2} (48)=24$

Now add up all the sides. (3 Rectangles, 2 Triangles.)

$100.94 + 100.94 + 100.94 + 24 + 24$

$=350.82$

The total surface area is 350.82 cm squared.

6 0

2 years ago

(3 points)

Snezhnost [94]

Answer:

The exponential Function is $20+12h=200$ .

Farmer will have 200 sheep after 15 years.

Step-by-step explanation:

Given:

Number of sheep bought = 20

Annual Rate of increase in sheep = 60%

We need to find that after how many years the farmer will have 200 sheep.

Let the number of years be 'h'

First we will find the Number of sheep increase in 1 year.

Number of sheep increase in 1 year is equal to Annual Rate of increase in sheep multiplied by Number of sheep bought and then divide by 100.

framing in equation form we get;

Number of sheep increase in 1 year = $\frac{60}{100}\times20 = 12$

Now we know that the number of years farmer will have 200 sheep can be calculated by Number of sheep bought plus Number of sheep increase in 1 year multiplied by number of years is equal to 200.

Framing in equation form we get;

$20+12h=200$

The exponential Function is $20+12h=200$ .

Subtracting both side by 20 using subtraction property we get;

$20+12h-20=200-20\\\\12h=180$

Now Dividing both side by 12 using Division property we get;

$\frac{12h}{12} = \frac{180}{12}\\\\h =15$

Hence Farmer will have 200 sheep after 15 years.

6 0

2 years ago

Study the Proof Given.

saul85 [17]

2: Midpoint of segment AC is given as B3: Given4: Knowing that AC~=BC, AC~= DE

7 0

2 years ago

The area of the floor is 6,175 square feet. The length of the floor is 95 feet. The width is w feet.

Anestetic [448]

Answer:

the width is 65

Step-by-step explanation:

width x length = area

w x 95 = 6,175

6,175 / 95 = 65

65 x 95 = 6175

3 0

3 years ago

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