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Kobotan [32]
3 years ago
7

Which statement describes the graph if f (x)=4x^2+20x+25?

Mathematics
1 answer:
cluponka [151]3 years ago
3 0

Answer:

There are no statements supplied, but see below.

Step-by-step explanation:

This is a perfect square trinomial (quadratic)  because  it factors to

(2x + 5)^2.

The zeroes are -5/2 multiplicity 2.

It is a parabola which opens upwards and whose vertex touches the x axis at the point (-5/2, 0).

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given the two points (-24,7) and (30,25) a. What is an equation passing through the points? b. Is (51, 33) also on the same line
kicyunya [14]
Part 1) <span>Given the two points (-24,7) and (30,25) a. What is an equation passing through the points?

step 1
find the slope m
m=(y2-y1)/(x2-x1)----></span>m=(25-7)/(30+24)----> m=18/54----> m=1/3

step 2
wit m=1/3 and the point (30,25)
find the equation of the line
y-y1=m*(x-x1)-----> y-25=(1/3)*(x-30)--->y=(1/3)*x-10+25
y=(1/3)*x+15

the answer Part 1) is
y=(1/3)*x+15

Part 2) <span>Is (51, 33) also on the same line?
</span>if the point (51.33) is on the line y=(1/3)*x+15
then
for x=51 the value of y must be 33
for x=51
y=(1/3)*51+15----> y=17+15----> y=32
32 is not 33 
so
<span>the point does not belong to the given line
</span>
the answer Part 2) is
the point does not belong to the given line

see the attached figure

7 0
3 years ago
What is the domain of f(x) = (x + 2)2 – 1?
larisa [96]

Simplify

\\ \tt\Rrightarrow f(x)=(x+2)^2-1

\\ \tt\Rrightarrow f(x)=x^2+4x+2-1

\\ \tt\Rrightarrow f(x)=x^2+4x+1

The Domain is set of all real numbers

\\ \tt\Rrightarrow Domain\in R

4 0
2 years ago
A circle had a circumference of 28.26 units what is the diameter of the circle
kolezko [41]

Answer:

9

Step-by-step explanation:

3.14 divided by 28.26 = 9

8 0
3 years ago
How far apart are the foci of an ellipse with a major axis of 26 feet and a minor axis of 24 feet?
aleksley [76]
<span>Let the major axis = 2a , and the minor axis = 2b
∴ a = 26/2 = 13    and   b = 24/2 = 12
and the equation of foci:
c² = a² - b²
    = 13² - 12² = 169 - 144 = 25
∴ c = √25 = 5

∴ The distance between the foci = 2 * 5 = 10
</span>
3 0
3 years ago
Read 2 more answers
There is a group of 10 people who are ordering pizza. If each person gets 2 slices and each pizza has 4 slices, how many pizzas
Sonbull [250]

Answer:

5 pizzas

Step-by-step explanation: If you have 10 people and each will get two slices then you will need 20 pieces of pizza because 10x2 is 20. If each pizza has 4 slices then you will need 5 pizzas because 4/20 is 5.

6 0
3 years ago
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