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Gre4nikov [31]
3 years ago
15

1. If a - b = 4 and a + b = 12, what is the value of a?

Mathematics
2 answers:
Nezavi [6.7K]3 years ago
4 0

I think this is what you are looking for:

=−12

a

b

=

−

12

+=4

a

+

b

=

4

(+)2=42

(

a

+

b

)

2

=

4

2

2+2+2=16

a

2

+

b

2

+

2

a

b

=

16

∴2+2=16+2×12=40

∴

a

2

+

b

2

=

16

+

2

×

12

=

40

Now, (−)2=2+2−2=40+2×12=64

(

a

−

b

)

2

=

a

2

+

b

2

−

2

a

b

=

40

+

2

×

12

=

64

∴(−)=64‾‾‾√=±8

∴

(

a

−

b

)

=

64

=

±

8

So, 2−2=(+)(−)

a

2

−

b

2

=

(

a

+

b

)

(

a

−

b

)

2−2=(4)(±8)=±32

a

2

−

b

2

=

(

4

)

(

±

8

)

=

±

32

Hope that helps and sorry if it is confusing!

VARVARA [1.3K]3 years ago
4 0

Answer:

a=8

b=4

Step-by-step explanation:

8+4=12

8-4=4

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Aleksandr [31]
6 fooo take this down
3 0
3 years ago
Bessie bought 10 gallons of Bush's Sweet Tea for a family reunion. How many liters did Bessie buy?
RUDIKE [14]

1 gallon = 3.78541 liters.

Multiply the number of gallons by 3.78541:

10 x 3.78541 = 37.8541 liters (round the answer as needed)

8 0
3 years ago
A circle in the xy-plane is centered at (3, 0) and has a radius with endpoint (1, 8/3 ). Which answer choice is an equation of t
gayaneshka [121]

Answer: (x - 3)² + y² = \frac{100}{9}

<u>Step-by-step explanation:</u>

Circle Formula: (x - h)² + (y - k)² = r²  ; (h, k) is the center & r is the radius

Use the distance formula for (3, 0) and (1, \frac{8}{3})

r = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}

r = \sqrt{(3-1)^{2}+(0-\frac{8}{3})^{2}}

r = \sqrt{(2)^{2}+(-\frac{8}{3})^{2}}

r = \sqrt{4+\frac{64}{9}}

r = \sqrt{\frac{36}{9}+\frac{64}{9}}

r = \sqrt{\frac{100}{9}}

r = \frac{10}{3}

****************************************************

Center (h, k) = (3, 0)   Radius (r) = \frac{10}{3}

(x - h)² + (y - k)² = r²

(x - 3)² + (y - 0)² = (\frac{10}{3})²

(x - 3)² + y² = \frac{100}{9}

6 0
4 years ago
In an investigation of pregnancy-induced hypertension, one group of women with this disorder was treated with low-dose aspirin,
AleksandrR [38]

Answer:

Step-by-step explanation:

Given that in an investigation of pregnancy-induced hypertension, one group of women with this disorder was treated with low-dose aspirin, and a second group was given a placebo. A sample consisting of 50 women who received aspirin has mean arterial blood pressure 120mmHg and standard deviation 10mmHg; a sample of 42 women who were given the placebo has mean blood pressure 115mmHg and standard deviation 12mmHg.

Population variances are equal

H_0: \bar x = \bar y\\H_a: \bar x \neq \bar y

(two tailed test at 5% significance level)

Here x denotes group I and Y group II

                  N       Mean     StDev SE Mean

Sample 1   50     120      10  1.4142

Sample 2 42       115      12  1.8516

Pooled std deviation = 10.9565

df=80

Mean difference= 5

Test statistic t = mean diff/std error = \frac{5}{2.3299}=2.1803

p value = 0.0318

since p <0.05 we reject H0

b) We find p >0.01 hence at 1% significance level we accept H0

This implies that 99% confidence interval contains mean difference =0

4 0
4 years ago
If x is directly proportional to to y and x= 200 and y=3 find x when y=5​
Amiraneli [1.4K]

Answer:

333.33

Step-by-step explanation:

x is directly proportional to y

k=y/x

k=3/200

now,

when y =5

y=kx

5=(3/200)x

1000/3=x

333.33 = x

3 0
2 years ago
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