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2 years ago

(a) Write a pair of negative integers whose difference gives 8.

Mathematics

1 answer:

elixir [45]2 years ago

7 0

(a) -2 and -10
(b) -1 and 5
(c) 1 and -4

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Which equation is equivalent to

Alexeev081 [22]

It y=4z-3/6 BOOMM done for ya

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3 years ago

Read 2 more answers

For every integer k from 1 to 10, inclusive the "k"th term of a certain sequence is given by (−1)(k+1)∗(12k). If T is the sum of

Katena32 [7]

Answer:

Option D. is the correct option.

Step-by-step explanation:

In this question expression that represents the kth term of a certain sequence is not written properly.

The expression is $(-1)^{k+1}(\frac{1}{2^{k}})$ .

We have to find the sum of first 10 terms of the infinite sequence represented by the expression given as $(-1)^{k+1}(\frac{1}{2^{k}})$ .

where k is from 1 to 10.

By the given expression sequence will be $\frac{1}{2},\frac{(-1)}{4},\frac{1}{8}.......$

In this sequence first term "a" = $\frac{1}{2}$

and common ratio in each successive term to the previous term is 'r' = $\frac{\frac{(-1)}{4}}{\frac{1}{2} }$

r = $-\frac{1}{2}$

Since the sequence is infinite and the formula to calculate the sum is represented by

$S=\frac{a}{1-r}$ [Here r is less than 1]

$S=\frac{\frac{1}{2} }{1+\frac{1}{2}}$

$S=\frac{\frac{1}{2}}{\frac{3}{2} }$

S = $\frac{1}{3}$

Now we are sure that the sum of infinite terms is $\frac{1}{3}$ .

Therefore, sum of 10 terms will not exceed $\frac{1}{3}$

Now sum of first two terms = $\frac{1}{2}-\frac{1}{4}=\frac{1}{4}$

Now we are sure that sum of first 10 terms lie between $\frac{1}{4}$ and $\frac{1}{3}$

Since $\frac{1}{2}>\frac{1}{3}$

Therefore, Sum of first 10 terms will lie between $\frac{1}{4}$ and $\frac{1}{2}$ .

Option D will be the answer.

3 0

3 years ago

Help, i'll give a brainliest

Valentin [98]

Answer:

The equation is y=2x + 2

Step-by-step explanation:

4x+2y=7

2y=-4x+7

y=-2x+7/2

Hence, the gradient =-2

Note that: parallel lines share the same gradient

sub m(gradient)=-2 and the point (1,0) into y=mx+c

0=-2(1)+c

c=2

Therefore, the equation in the form of y=mx+c is y=-2x+2

8 0

3 years ago

I really need help.

fiasKO [112]

39/10 I’m not sure! Use the app called photo math

8 0

3 years ago

Solve for x. Show the equation you used and your work.

IgorC [24]

Here, You need to apply "Proportionality Theorem"
According to this theorem, the ratio of components of a leg would be equal to the ratio of corresponding components of another leg.

In mathematical form,
TV/VS = TW/WU

Substitute their values,
14/6 = 21/(x+4)
14(x+4) = 21*6
14x+56 = 126
14x = 126-56
x = 70/14
x = 5

In short, Your Answer would be 5

Hope this helps!

4 0

2 years ago