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Leviafan [203]
3 years ago
12

Will mark brainliest pls help

Mathematics
1 answer:
Yakvenalex [24]3 years ago
4 0

Answer:

d=10

Step-by-step explanation:

Distance Formula: d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Used to find the distance between 2 points.

Simply plug in your 2 coordinates into the distance formula to find distance <em>d</em>:

d=\sqrt{(7-1)^2+(-7-1)^2}

d=\sqrt{(6)^2+(-8)^2}

d=\sqrt{36+64}

d=\sqrt{100}

d=10

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Write an equation in slope-intercept form for the line that is parallel to y = −4x − 3 and that passes through the point (−2, 4)
Neporo4naja [7]
Since it's parallel, then the slope is the same
use the point slope formula and plug in the slope and point
y-y1=m(x-x1)
y-4=-4(x+2)
y-4=-4x-8
y=-4x-4
this is in slope intercept form
6 0
3 years ago
What value from the set {6, 7, 8, 9, 10} makes the equation 5x + 2 = 47 true? Show your work. (5 points)
olga nikolaevna [1]

Answer:

trure correct

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6 0
3 years ago
Imagine that you have a very large barrel that contains tens of thousands of M&amp;M's. According to the official M&amp;M websit
Finger [1]

Answer:

(A)20%, 20%, 20%, 20%, 20%

Step-by-step explanation:

We are told that 20% of the M&M's produced by the Mars Corporation are Orange in color. If 5 students take a random sample of 50 M&M's, the most plausible percentage of orange candies that will be obtained is:

20%, 20%, 20%, 20%, 20%

This is as a result of the fact that in research experiments, a sample is a representation of the whole. Any result which holds for a random sample should hold for the total population and vice versa.

5 0
3 years ago
A family wants to save for college tuition for their daughter. What continuous yearly interest rate r% is needed in their saving
sergey [27]

Answer:

The continuous yearly interest is  22.5% per year.

Step-by-step explanation:

Continuous yearly interest:

Continuous yearly interest is defined as the sum of the interest comes from principle and the interest comes from interest.

The formula for continuous interest yearly is

A=Pe^{rt}

where A = The final amount =$110,000

P= principle =$4,700

r= rate of interest

t= time (in year)= 14 years

\therefore 110,000= 4,700e^{r\times 14}

\Rightarrow e^{14r}= \frac{110,000}{4,700}

Taking ln both sides

\Rightarrow ln e^{14r}= ln(\frac{110,000}{4,700})

\Rightarrow {14r}= ln(\frac{1100}{47})

\Rightarrow r=\frac{ln( \frac{1100}{47})}{14}

\Rightarrow r = 0.225  (approx)

The continuous yearly interest is 0.225 = 22.5% per year.

4 0
2 years ago
4. Neelam's annual income is Rs. 288000. Her annual savings amount
Vikki [24]

Answer:

The ratio of her savings to expenditure <u>1 : 7</u>.

Step-by-step explanation:

Given:

Neelam's annual income is Rs. 288000.

Her annual savings amount  to Rs. 36000.

Now, to get the ratio of her savings to her expenditure:

So, we get the expenditure first:

Expenditure = Income - Savings.

Expenditure = 288000 - 36000 = Rs. 252000.

Now, <em>the ratio of savings to expenditure:</em>

\frac{Savings}{Expenditure} =\frac{36000}{252000}

\frac{Savings}{Expenditure} =\frac{1}{7}

Thus, Savings:Expenditure = 1:7.

Therefore, the ratio of her savings to expenditure 1 : 7.  

3 0
3 years ago
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