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2 years ago

Multiply.

Mathematics

2 answers:

icang [17]2 years ago

4 0

Sorry for the delay but I answered your question and the answer is -6xsquare +11x-4

ICE Princess25 [194]2 years ago

3 0

Answer:

The standard form is $-6x^2+11x-4$

Step-by-step explanation:

Given : $(-3x+4)(2x-1)$

We have to multiply $(-3x+4)(2x-1)$

Consider the given $(-3x+4)(2x-1)$

$\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd$

Here, a = 3x , b = 4 , c = 2x , d = -1

$=\left(-3x\right)\cdot \:2x+\left(-3x\right)\left(-1\right)+4\cdot \:2x+4\left(-1\right)$

Apply plus- minus rule, $+\left(-a\right)=-a,\:\:\left(-a\right)\left(-b\right)=ab$

$=-3\cdot \:2xx+3\cdot \:1\cdot \:x+4\cdot \:2x-4\cdot \:1$

Simplify, by adding similar terms, we get,

$=-6x^2+11x-4$

Thus, The standard form is $-6x^2+11x-4$

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Find the longer leg of the triangle.

Paha777 [63]

Answer:

Choice A. 3.

Step-by-step explanation:

The triangle in question is a right triangle.

The length of the hypotenuse (the side opposite to the right angle) is given.
The measure of one of the acute angle is also given.

As a result, the length of both legs can be found directly using the sine function and the cosine function.

Let $\text{Opposite}$ denotes the length of the side opposite to the $30^{\circ}$ acute angle, and $\text{Adjacent}$ be the length of the side next to this $30^{\circ}$ acute angle.

$\displaystyle \begin{aligned}\text{Opposite} &= \text{Hypotenuse} \times \sin{30^{\circ}}\\ &=2\sqrt{3}\times \frac{1}{2} \\&= \sqrt{3}\end{aligned}$ .

Similarly,

$\displaystyle \begin{aligned}\text{Adjacent} &= \text{Hypotenuse} \times \cos{30^{\circ}}\\ &=2\sqrt{3}\times \frac{\sqrt{3}}{2} \\&= 3\end{aligned}$ .

The longer leg in this case is the one adjacent to the $30^{\circ}$ acute angle. The answer will be $3$ .

There's a shortcut to the answer. Notice that $\sin{30^{\circ}} < \cos{30^{\circ}}$ . The cosine of an acute angle is directly related to the adjacent leg. In other words, the leg adjacent to the $30^{\circ}$ angle will be the longer leg. There will be no need to find the length of the opposite leg.

Does this relationship $\sin{\theta} < \cos{\theta}$ holds for all acute angles? (That is, $0^{\circ} < \theta$ ?) It turns out that:

$\sin{\theta} < \cos{\theta}$ if $0^{\circ} < \theta$ ;
$\sin{\theta} > \cos{\theta}$ if $45^{\circ} < \theta$ ;
$\sin{\theta} = \cos{\theta}$ if $\theta = 45^{\circ}$ .

4 0

2 years ago

Read 2 more answers

What is the area of a rectangle that is 4 inches long and 1 3/4 inches wide

BigorU [14]

Answer: 7 inches

Step-by-step explanation:

4 times 1 3/4 is 7

6 0

2 years ago

In 1925, airplane engines were cooled with water. Water freezes at a temperature of 32º Fahrenheit. Average winter low temperatu

Snezhnost [94]

Answer:

From November to March, the temperature in Alaska is between 0°F/-18°C and -30°F/-35°C, which is very cold. May and September are both often the driest and the wettest months in Alaska's summer.

I hope this helps you

5 0

2 years ago

The cost of attendance at State College is $19,500 for the first year. Devise a periodic savings plan that will allow you to mak

ValentinkaMS [17]

We are told to use simple interest rate. Formula for this is:
$A=P*(1+r*t)$

Where:
A= total accumulated amount (principal + interest)
P= principal
r= yearly percentage rate
t= number of years

We need to save $19500 for the first year at a college. This is the amount we will have at the account after five years. In our case this is A.
Principal is the amount we need to put into savings to get the total amount needed. In our case this is P.
Yearly percentage rate is the percentage by which our savings increase at the end of a year. In our case this is r.
t is number of years that we are holding our money on the bank account.

To solve this problem we will assume that we are putting same amount each month on the bank account.

We are given:
A=$19500
P=?
r=1.5%
t=5 years

First step is to transform r into decimal number:
$r= \frac{1.5}{100} =0.015$

Now we get back to our formula and we solve it for P:
$A=P*(1+r*t) \\ P= \frac{A}{1+r*t}$
We insert numbers and we get our principal:
$P= \frac{19500}{1+0.015*5} \\ P=18139.53$

We need to put $18139.53 into savings to get required amount after 5 years or 5*12=60months. Assuming that we put same amount each month into savings we need to put
$18139.53 / 60 = 302.33$

This is our solution for this problem. This is closest to the amount we would need to put in real life. In real life we would earn interest onto interest and our monthly amount would be smaller.

3 0

3 years ago

Solve the equation 4/5+ 3x/7=2/10<br><br> Pls answer ASAP!! thanks yall

julia-pushkina [17]

Answer:

x = -7/5

Step-by-step explanation:

2/10 - 4/5 = -3/5

-3/5 * 7 = -21/5

-21/5 ÷ 3 = -7/5

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2 years ago