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3 years ago

What is the point-slope form of a line with slope 6 that contains the point

Mathematics

1 answer:

blondinia [14]3 years ago

8 0

Answer:

<h2>The answer is option C</h2>

Step-by-step explanation:

To find an equation of a line in point slope form when given the slope and a point we use the formula

$y - y_1 = m(x - x_1)$

where

m is the slope

( x1 , y1) is the point

From the question the point is (1,2) and the slope is 6

The equation of the line in point slope form is

Hope this helps you

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There are 80 major sources of pollen in state A. These pollen sources are categorized as grasses, weeds, and trees. If the numb

Oxana [17]

Answer:

Grasses: 12

Weeds: 29

Trees: 39

Step-by-step explanation:

Let G, W and T represent number of grasses, weeds, and trees that are major pollen sources.

We have been given that there are 80 major sources of pollen in state A. We can represent this information in an equation as:

$G+W+T=80...(1)$

We are told that the number of weeds is 7 less than thrice the number of grasses. We can represent this information in an equation as:

$W=3G-7...(2)$

We are also told that the number of trees is 3 more than thrice the number of grasses. We can represent this information in an equation as:

$T=3G+3...(3)$

Upon substituting equation (2) and equation (3) in equation (1), we will get:

$G+3G-7+3G+3=80$

$7G-4=80$

$7G-4+4=80+4$

$7G=84$

$\frac{7G}{7}=\frac{84}{7}$

$G=12$

Therefore, there are 12 grasses that are major pollen sources.

Number of weeds that are major pollen sources:

$W=3G-7\Rightarrow 3(12)-7=36-7=29$

Therefore, there are 29 weeds that are major pollen sources.

Number of trees that are major pollen sources:

$T=3G+3\Rightarrow 3(12)+3=36+3=39$

Therefore, there are 39 trees that are major pollen sources.

6 0

3 years ago

Which rule deacribes the

Marysya12 [62]

Answer:

A. ${T_{-6,-2}}\circ {r_{x-axis}}(x,y)$

Step-by-step explanation:

We have that, ΔABC is transformed to get ΔA''B''C''.

We see that the following transformations are applied:

1. Reflection across x-axis i.e. flipped across x-axis.

Now, ΔABC is reflected across x-axis along the line AC to get ΔA'B'C'.

2. Translated 2 units down i.e. shifted 2 units down and and then translated 6 units to the left i.e. shifted 6 units to the left.

So, ΔA'B'C' is translated 2 units downwards and 6 units to the left to get ΔA''B''C''.

Hence, the sequence of transformations is Reflection across x-axis and then Translation of 2 units down and 6 units left.

6 0

3 years ago

2x- y = -1<br> 5x + 4y = 17

Allisa [31]

Answer:

You will need to use simultaneous equations.

Method:

Get both equations to have the same subject, in this case we will multiply the first equation by 4

1) 2x-y = -1
Becomes
1) 8x-4y = -4

Then make both equations equal to 4y.

1) 8x+4= 4y
2) 4y = -5x + 17

Because they both equal 4y, that means they are equal to each other.

8x+4 = -5x+17
Now solve for x.

13x = 13
x = 1

Now that we have x, we can substitute it back into either equation to get y. I will use equation 1 because it is less complex.

2x-y = -1
2(1)-y = -1
y = 3

4 0

3 years ago

Help!! You have about 4+ hours to answer!! Help!!

masya89 [10]

Answer:

I think I'm doing this right?

Step-by-step explanation:

4.3

----

a. 4.3

b. 4.3

c. 4

5 0

3 years ago

Read 2 more answers

Serena invests $2500 for 3 years and 6 months and earns $328.13. What was the rate of interest? Explain how you solved.

NARA [144]

Answer:

4.38%

Step-by-step explanation:

<em>Assuming simple interest</em>, we start by writing the formula for simple interest.

$SI=Prt$

Where

SI is the interest amount (328.13)

P is the principal amount (2500)

r is the rate of interest (what we need to find)

t is the time, in years (t = 3)

Since we want rate of interest, we re-arrange the formula to get r in terms of the other variables. Shown below:

$SI=Prt\\r=\frac{SI}{Pt}$

Now we simply plug-in the information we know and find r:

$r=\frac{328.13}{(2500)(3)}\\r=0.0438$

To convert into percentage, we multiply by 100:

r = 0.0438 * 100 = 4.38%

6 0

4 years ago