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3 years ago

Solve the system of linear equations by substitution. −2x−5y=3 3x+8y=−6

1 answer:

6 0

Use cymath to help with the math.
Solve for x in −2x−5y=−3

Substitute x=−5y−32x= - $\frac{5y-3}{2}$

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Given the point (3, 4), which of the following shows that sinxcscx = 1?

yawa3891 [41]

$\bf sin(\theta)=\cfrac{opposite}{hypotenuse}\qquad csc(\theta)=\cfrac{hypotenuse}{opposite}\\\\
-------------------------------\\\\
\begin{array}{clclll}
3&,&4\\
\uparrow &&\uparrow \\
x&&y\\
a&&b\\
adjacent&&opposite\\
side&&side
\end{array}\qquad 
\begin{array}{llll}
\textit{using the pythagorean theorem}
\\\\\\
c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}
\end{array}
\\\\\\
hypotenuse\implies c=\sqrt{3^2+4^2}\implies c=\sqrt{25}\implies \boxed{c=5}\\\\
-------------------------------\\\\$

$\bf sin(x)=\cfrac{4}{5}\qquad csc(x)=\cfrac{5}{4}\implies sin(x)csc(x)\implies \cfrac{4}{5}\cdot \cfrac{5}{4}\implies 1$

8 0

3 years ago

Read 2 more answers

ASAP Help again please

Arisa [49]

Answer:

Step-by-step explanation:

c. 0.875

140,000,000x0.25=35,000,000

35,000,000/40,000,000=0.875

4 0

4 years ago

What is the product?

zepelin [54]

Answer:

Option D

Step-by-step explanation:

We need the product of:

(-3s + 2t)*(4s - t)

We can use the distributive property:

(a + b)*(c + d) = a*c +b*c + a*d + b*d

Applying to our case:

(-3s + 2t)*(4s - t) = (-3s)*4s + (-3s)*(-t) + 2t*4s + (2t)*(-t)

(-3s + 2t)*(4s - t) = -12(s^2) + 3st + 8ts - 2(t^2)

(-3s + 2t)*(4s - t) = -12(s^2) + 11ts - 2(t^2)

So, the correct is option D negative 12 s squared + 11 s t minus 2 t squared

8 0

3 years ago

Read 2 more answers

Given the drawing as shown below and that p || a, which of the following cannot be supported by the evidence shown?

masya89 [10]

Answer:

D. <b ≅ <g

Step-by-step explanation:

Given that lines p and q are parallel to each other, therefore the following can be concluded:

✔️<f ≅ <h, this is because they are both Vertical angles.

✔️<d and <h are supplematry, this is because they are same side consecutive interior angles. Consecutive angles are supplematry.

✔️<a and <b are supplematry, this is because they are linear pair angles.

✔️<b cannot be congruent to <g. They are not corresponding angles, nor are they alternate interior angles.

4 0

3 years ago

A contractor needs to buy grass seed to cover a lawn. The dimension of the llama song below. One bag of grass seed cover isn’t i

DedPeter [7]

The minimum number of bags of seed the contractor needs to buy the to cover the entire lawn is 4

<h3>How to determine the number of bags</h3>

Start by calculating the area of the entire field using:

$Area = Length * Width$ --- area of square

So, we have:

$Area = (18 + 54 + 18)* 28$

$Area = 2520$

Next calculate the area of the porch using:

$Area = 0.5 * (L1 + L2) * H$ -- area of trapezium

So, we have:

$Area = 0.5 * (54+ (54 + 18 + 18 - 14 - 14)) * 10$

$Area = 580$

The difference between the areas of the entire field and porch is the area of the lawn.

So, we have:

$Lawn= 2520 - 580$

$Lawn= 1940$

The above means that, the area of the lawn is 1940 square yards

If one bag of grass covers 600 square yards, then the number of bags that can cover 1940 square yards is:

$n =\frac{1940}{600}$

$n =3.23$

Round to the next highest integer

$n =4$

Hence, the minimum number of bags of seed is 4 bags