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3 years ago

Solve the system by substitution. -x-y-z=-8 -4x+4y+5z=7 2x+2z=4

1 answer:

5 0

1. x=−y+8−z 2.x=−7−4y−5z (everything over 4) 3.x=2−z 1.y=-x+8-z 1.z=-x+4-y 2.y=7+4x-5x (everything over 4) 2.z=7+4x-4y (everything over 5) 3.z=2-x

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Kira, goran, & joe sent a total of 90 text messages during the weekend. Goran sent 5 fewer messages than Kira. Joe sent 3 ti

MissTica

Answer:

Kira sent 19 text messages, Goran sent 14 text messages and Joe sent 57 text messages.

Step-by-step explanation:

Let be "k" the number of text messages that Kira sent during the weekend, "g" the number of text messages that Gora sent during the weekend and "j" the number of text messages that Joe sent during the weekend.

We know know that they sent a total of 90 text messages then:

$k+g+j=90$

Goran sent 5 fewer messages than Kira. This is:

$g=k-5$

And Joe sent 3 times as many messages as Kira. Then:

$j=3k$

The steps to solve this are:

- Substitute the second equation and the third equatio into the first equation and then solve for "k":

$k+(k-5)+(3k)=90\\\\5k-5=90\\\\5k=90+5\\\\k=\frac{95}{5}\\\\k=19$

- Substitute this value into the second equation to find "g":

$g=19-5=14$

- Substitute the value of "k" into the third equation to find "j":

$j=3(19)=57$

4 0

3 years ago

PLEASE HELP ME IN MATH

maks197457 [2]

Answer:

BC= 23.0km (nearest tenth)

Step-by-step explanation:

Please see the attached picture for full solution.

6 0

2 years ago

Line u has a slope of<br> -2/5 is parallel to line u. What is the slope of line v?

tresset_1 [31]

Answer:

-2/5

Step-by-step explanation:

The slope will be same , that is -2/5 .

7 0

2 years ago

Find the value of tan θ for the angle shown. A line is drawn from the origin through the point square root of thirty-three comma

Bogdan [553]

If you draw this triangle on a graph as described, tan theta is -4(square root)33/33

8 0

3 years ago

Read 2 more answers

Simplify and write the trig expression in terms of sin and cos

dsp73

We have:

$cot(-x)cos(-x)+sin(-x)=-\frac{1}{f(x)}$

Then we use trigonometric identities to change the negative sign of the trigonometric functions, so:

$-sin(x)-cot(x)cos(x)=-\frac{1}{f(x)}$

We clear f(x):

$f(x)=\frac{1}{sin(x)+cot(x)cos(x)}=\frac{1}{sin(x)+\frac{cos(x)}{sin(x)}cos(x)}=\frac{1}{sin(x)+\frac{cos^2(x)}{sin(x)}}$

we simply what we can:

$f(x)=\frac{1}{\frac{sin^2(x)+cos^2(x)}{sin(x)}}=sin(x)$

Thus, the correct answer is;

$f(x)=sin(x)$

6 0

1 year ago