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Mama L [17]
3 years ago
12

Please help me with geometry.

Mathematics
1 answer:
disa [49]3 years ago
6 0

Answer:

<h2>y = 6x + 9</h2>

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept → (0, b).

Parallel lines have the same slope.

Therefore if <em>k</em>: y = 6x + 7 → m = 6, and <em>l</em>: y = mx +b,

then <em>l</em> is parallel to <em>k</em> if m = 6.

We have the equation: y = 6x + b.

The line <em>l</em> passes through (0, 9). Therefore b = 9.

Finally we have:

<em>y = 6x + 9</em>

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kramer
Base times height divide by 2. 5 times 8= 40/2=20
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3 years ago
There are 12 more girls than boys in a drama club. The ratio of girls to boys is 9:5. How many girls and how many boys are in th
lana [24]

Answer:

27 girls and 15 boys

Step-by-step explanation:

To solve this, I just used guess and check.

9:5 is a ratio, which means we can multiply each side by any number as long as we do it to both sides.

If we multiply the ratio by 3, we get (9 x 3) : (5 x 3) which is 27:15

And as it turns out, 27-15 is 12, which in this context means there are 12 more girls in drama club, so it works out.  

7 0
3 years ago
Read 2 more answers
Find the slope of the line through the given points (-3,-5) and (1, -1)
Sonja [21]

Answer: (4,4)

Step-by-step explanation:

You have to make a graph then pinpoint (-3,-5) and (1,-1). Then count how mapny units up till you get to (-3,-1) (which is 4) then count to the right 4 units and you should land on (1,-1). Calculate how many times you moved units.

6 0
3 years ago
Write the equation of an ellipse with vertices at (7, 0) and (-7, 0) and co-vertices at (0, 1) and (0, -1).
Irina-Kira [14]

Answer:

\frac{(x)^{2}}{49}+\frac{(y)^{2}}{1}=1

Step-by-step explanation:

In this problem we have a horizontal ellipse, because the major axis is the x-axis

The equation of a horizontal ellipse is equal to

\frac{(x-h)^{2}}{a^{2}}+\frac{(y-k)^{2}}{b^{2}} =1

where

(h,k) is the center of the ellipse

a and b  are the respective vertices distances from center

we have

vertices at (7, 0) and (-7, 0)

co-vertices at (0, 1) and (0, -1)

so

The center is the origin (0.0) (The center is the midpoint of the vertices)

a=7

b=1

substitute

\frac{(x-0)^{2}}{7^{2}}+\frac{(y-0)^{2}}{1^{2}}=1

\frac{(x)^{2}}{49}+\frac{(y)^{2}}{1}=1

8 0
3 years ago
Which polynomial represents the area of the rectangle? 3x-5= x+1
maxonik [38]

Answer: 3x² - 2x - 5

Step-by-step explanation:

The area of a rectangle is simply length * width.  Thus, simply multiply them, and FOIL.

(3x - 5) (x + 1)

3x ^2 + 3x - 5x - 5

Combine like terms

3x² - 2x - 5

Hope it helps :) and let me know if you want me to elaborate.

4 0
3 years ago
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