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shusha [124]
3 years ago
10

The square of sophie's age is 16 less than joanna's age. it is also the case that joanna's age is 8 times that of sophie. how ol

d is joanna?
Mathematics
1 answer:
mote1985 [20]3 years ago
5 0
Let s be Sophie's age. Then joanna is s²+16. Joanna is also 8s, if  Sophie is s. So:
s²+16=8s
s²-8s+16=0
(s-4)²=0
s=4
Sophie is 4; Joanna is 32
☺☺☺☺
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Solve the system of equations<br> y=x^2-3x+4<br> x+y=4<br> show all work please!
Debora [2.8K]

Answer:

(0,4)

(2,2)

Step-by-step explanation:

y=x^2-3x+4

x+y=4

the second one can be rewritten as y=4-x

so the system becomes

y=x^2-3x+4

y=4-x

therefore 4-x = x^2-3x+4

that is x^2-2x=0

we can write it as x(x-2)=0 a product is = 0 when one of its factors = 0

so the solutions for x are: x=0 and x-2= 0 that means x=2

to get y you simply use 0 and 2 as value of x for any of the two equations

and you get y=4 and y=2 respectively

6 0
3 years ago
Laurel wants to build a fence around her square garden. Each side measures 50 feet. She also wants to fence in 3 square rose bed
hjlf
Square has 4 sides equal
garden has 4 sides of 50 each (4 times 50=200)

each smal garden is 10.5 times 4 sinc ethey also have 4 sides
10.5*4=42
times 3 since 3 of them
42*3=126

add to find total
garden+3rosebuds=200+126=326 ft^2
8 0
3 years ago
Read 2 more answers
Which of the following is true regarding the solution to the logarithmic equation below? log Subscript 2 Baseline (x + 11) = 4.
meriva

Answer:

Option C.

Step-by-step explanation:

The given logarithmic equation is

\log_2(x+11)=4

It can be written as

(x+11)=2^4     [\because log_ax=y\Leftrightarrow x=a^y]

x+11=16

x=5

Now, to check whether x=5 is a true solution or not. Substitute x=5 in the LHS of given equation.

LHS=\log_2(5+11)

LHS=\log_2(16)

LHS=\log_22^4

LHS=4     [\because log_aa^x=x]

LHS=RHS

Hence, x=5 is a true solution because \log_2(16)=4.

Therefore, the correct option is C.

5 0
3 years ago
Can someone help it’s due in 40mins!!
Lorico [155]

Answer:

Step-by-step explanation:

\frac{8}{32}  =  \frac{4}{16}  =  \frac{2}{8}  =  \frac{1}{4}

\frac{27}{54}  =  \frac{9 }{18}  =  \frac{3}{6}  =  \frac{1}{2}

\frac{36}{24}  =  \frac{18}{12}  =  \frac{9}{6}  =  \frac{3}{2}

\frac{30}{60}  =  \frac{15}{30}  =  \frac{5}{10}  =  \frac{1}{2}

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3 years ago
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tamaranim1 [39]
The answer is the bottom left one :D

4 0
3 years ago
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