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aleksandr82 [10.1K]
3 years ago
7

Pleaseee help me asap

Mathematics
1 answer:
pychu [463]3 years ago
8 0

Answer:

k = 13.5

Step-by-step explanation:

Setup proportion and solve for k:

\frac{k}{9} =\frac{4.5}{3} \\3k = 40.5\\k=13.5

You might be interested in
1. If 3X + Y =P and X+Y=Q, what is X in terms of P and Q?
ch4aika [34]

'is' means =

so

X =

so

3X + Y = P

3X = P - Y

X = (P - Y) ÷ 3

5 0
3 years ago
Can anyone tell me the standard form of this parabola equation?
irina [24]

Answer:

x=4y^2-24y+30

(x-4.5)^2+(y-2.5)^2=23

Step-by-step explanation:

Standard form of a sideways parabola:  x=ay^2+by+c

Given equation:

4y^2-x-24y+30=0

Add x to both sides:

4y^2-24y+30=x

\implies x=4y^2-24y+30

--------------------------------------------------------------------------------------------

<u>Standard form of circle equation</u>

(x-a)^2+(y-b)^2=r^2

(where (a,b) is the center and r is the radius)

Given equation:

2x^2+2y^2-18x-10y+7=0

Group like terms:

2x^2-18x+2y^2-10y+7=0

Divide by 2:

x^2-9x+y^2-5y+3.5=0

Factor by completing the square for each variable:

(x-4.5)^2-20.25+(y-2.5)^2-6.25+3.5=0

Rearrange into standard form:

(x-4.5)^2+(y-2.5)^2=23

Therefore, the circle has a center at (4.5, 2.5) and a radius of √23

7 0
2 years ago
Find the zero of polynomial 7x+5
boyakko [2]

Answer:

x=-5/7

Step-by-step explanation:

we have

f(x)=7x+5 ----> The degree of this polynomial is 1 (linear equation)

Remember that

The zero of the polynomial is the value of x when the value of f(x) is zero

so

For f(x)=0

0=7x+5

solve for x

x=-5/7 ----> the zero of the polynomial or x-intercept

4 0
4 years ago
Jk,kl, and lj are all tangent to circle o, ja=13,al=7, and ck=10 what is the perimeter of angle JKL
Alex73 [517]

see the picture attached to better understand the problem


we know that

two tangent segments drawn from the same exterior point are congruent

so

JA=JB ,

LA=LC,

KC=KB

JA=13 units

LA=7 units

kC=10 units

hence

perimeter = JA+JB+LA+LC+KC+KB------> 13+13+7+7+10+10------> =60 units


therefore


the answer is

the perimeter of triangle JKL is 60 units

8 0
4 years ago
PLEASE HELPPPPPPPPP asap
cluponka [151]
They would be similar triangles because they cannot be congruent due to the fact that the side lengths are different. They are dilutions of each other which again proves that they are similar, not congruent.
5 0
3 years ago
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