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Romashka-Z-Leto [24]
3 years ago
10

The two triangles shown are similar. Find the value of d/c

Mathematics
1 answer:
Stolb23 [73]3 years ago
7 0

Answer:

D. None of the above

Step-by-step explanation:

\frac{c}{9}  =  \frac{d}{7.5} \\  \frac{d}{c}  =  \frac{7.5}{9}

P.S. hope it helped. If you have any questions, I'll be glad to answer them❤

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What is the equation of the quadratic function represented by this table?
MA_775_DIABLO [31]

Answer:

Step-by-step explanation:

I used logic and took the easy way around this as opposed to the long, drawn-out algebraic way.  I noticed right off that at x = -3 and x = -1 the y values were the same.  In the middle of those two x-values is -2, which is the vertex of the parabola with coordinates (-2, 4).  That's the h and k in the formula I'm going to use.  Then I picked a point from the table to use as my x and y in the formula I'm going to use.  I chose (0, 3) because it's easy.  The formula for a quadratic is

y=a(x-h)^2+k

and I have everything I need to solve for a.  Filling in my h, k, x, and y:

3=a(0-(-2))^2+4  and

3=a(2)^2+4  and

-1 = 4a so

a=-\frac{1}{4}

In work/vertex form the equation for the quadratic is

y=-\frac{1}{4}(x+2)^2+4

In standard form it's:

y=-\frac{1}{4}x^2-x+3

8 0
3 years ago
Two hot air balloons are traveling along the same path away from a town, beginning from different locations at the same time. He
kolbaska11 [484]

9514 1404 393

Answer:

  D.  Henry's started farther, went faster

Step-by-step explanation:

Henry's balloon traveled 18 additional miles (from 30 to 48) in 2 hours, so had a speed of 18mi/(2h) = 9 mi/h. The equation for his position could be ...

  y = 9x +30 . . . . . 9 is the rate of change; 30 is the initial value

__

Comparing this to Tasha's position function, we see her balloon started 20 miles from town and traveled 8 miles per hour.

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Henry started farther from town and traveled faster.

5 0
2 years ago
I need help with these two problems.
Dennis_Churaev [7]

Answer:

the equation is - y=x

Explanation:

Given -

y=x+4

We have to find a line passing through the point (2,2) nd parallel to the given line.

Find the slope of the given line.

It is the coefficeint of x

m₁ = 1

The two lines are parallel. Hence

m₂=m₁=1 Where m₂is the slope of the second line.

You have slope and the points (2,2)

Find the Y intercept

y=mx+c\\2=(1)(2)+C\\2=2+C\\C=2-2=0

Y-Intercept C=0 and slope m₂=1

Fix the equation

y=x

8 0
2 years ago
Yolanda is buying supplies for school. She buys n packages of pencils at $1.10 per package and m pads
Dovator [93]

1.1n represents the total cost of n packages of pencils.

2.2m represents the total cost of m pads of paper

The entire expression represents the total cost of Yolanda's school supplies.

8 0
3 years ago
Which is the graph of the equation y-1=2/3(x-3)?​
kakasveta [241]

TAnswer: he graph in the attached figure

Step-by-step explanation:

we have

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

This is the equation of a line into point slope form

where

the point is (3,1) and the slope is m=2/3

using a graphing tool

The graph in the attached figure

6 0
3 years ago
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