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3 years ago

Find the vector with initial point p (4, 3) and terminal point q (–9, –4).

Mathematics

1 answer:

lana66690 [7]3 years ago

6 0

-9 -4 = -13
-4 - 3 = -7

vector is <-13, -7>

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Arlecino [84]

Answer:

width of rectangle is 87

Step-by-step explanation:

because perimeter of rectangle = 2(l+w)

3 0

3 years ago

Emma has money into savings accounts. One rate is 8% and the other is 12%. If she has $450 more in the 12% account and the total

AveGali [126]

Let's say that the value invested in the account with a rate of 8% is "x", then the amount invested in the account with a rate of 12% is:

$x+450$

To calculate the total interest we need to calculate the interest of each individual account and sum them:

$\begin{gathered} \frac{8}{100}\cdot x=0.08\cdot x \\ \frac{12}{100}\cdot(x+450)=0.12\cdot x+54 \end{gathered}$

The total interest is the sum of the two expressions above:

$\begin{gathered} 220=(0.08\cdot x)+(0.12\cdot x+54) \\ 220=0.08\cdot x+0.12\cdot x+54 \\ 220-54=0.2\cdot x \\ 166=0.2\cdot x \\ 0.2\cdot x=166 \\ x=\frac{166}{0.2} \\ x=830 \end{gathered}$

The value invested in the account with 8% interest is 830, the one invested in the account with 12% interest is 1280.

7 0

1 year ago

Simplify the expression. (d² - d+5) - (-d² + d + 5)

AysviL [449]

Answer: $2d^2-2d$

Step-by-step explanation:

Given

$\Rightarrow (d^2-d+5)-(-d^2+d+5)\\\Rightarrow (d^2+d^2)-d-d+5-5=0-2d+0\\\Rightarrow 2d^2-2d=2d(d-1)$

8 0

3 years ago

The graph of the function has slope of 1 and y-intercept of -6.

True [87]

Answer:

= -5

Step-by-step explanation:

1-6=5

1-6

{Subtract the numbers:} 1-6=-5

= -5

6 0

2 years ago

Identify the sample chosen for the study. The number of hours a group of 12 children in Mrs. Smith's kindergarten class sleep in

LuckyWell [14K]

Answer:

The 12 children selected in Mrs. Smith's kindergarten class.

Step-by-step explanation:

A sample is a representative part of a population on which a research is carried out.

The study In Mrs Smith's class was to find out the number of hours the children in Kindergarten Sleep in a day. Out of the total number of students, 12 were selected for observation. The 12 childen selected is therefore a sample of the class.

8 0

3 years ago