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4 years ago

Solve this system of equations by any method. 5x + y = -13 4x + 3y= -17

1 answer:

5 0

5x + y = -13.....multiply by -3
4x + 3y = -17
-----------------
-15x - 3y = 39 (result of multiplying by -3)
4x + 3y = -17
-----------------add
-11x = 22
x = -22/11
x = -2

5x + y = -13
5(-2) + y = -13
-10 + y = -13
y = -13 + 10
y = -3

solution (-2,-3)

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I need help...............

Viefleur [7K]

Answer:

Step-by-step explanation:

You can see that it "rises" 700 and "runs" 100, that means that there is a slope of 700/100. If you simplify that, it turn out to be a slope of 7. Meaning that each ticket costs $7. Hope this helps, let me know if you need a better explanation!

4 0

3 years ago

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Walter has 124 bills consisting of 5 dollar bills and 10 dollar bills. If his total amount of money is $840, how many bills of e

Romashka [77]

For this question here are the formulas,
Let T be the number of 10's
Let F be the number 5's

Let us find the 10's first by this formula.
5(124 - T) + 10T = 840
620-5T + 10T = 840
then
5T = 220
5 5

T=44
Now let's find the F using this formula.

5F + 10T = 840
Sustitute T
5F + 10(44) = 840
5F = 400
5 5
F = 80

to Check
F + T = 124
80 + 44 = 124

8 0

3 years ago

Intercept from a table

gladu [14]

$\bf \begin{array}{ccll} x&y\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ \boxed{14}&\boxed{-5}\\ 21&-3\\ \boxed{28}&\boxed{-1} \end{array}\impliedby \textit{we'll use two points to get the slope}$

$\bf (\stackrel{x_1}{14}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{28}~,~\stackrel{y_2}{-1}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-1-(-5)}{28-14}\implies \cfrac{-1+5}{28-14} \\\\\\ \cfrac{4}{14}\implies \cfrac{2}{7} \\\\\\ \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-5)=\cfrac{2}{7}(x-14) \\\\\\ y+5=\cfrac{2}{7}x-4$

now, to get the y-intercept, we simply set x = 0 and solve for y, and to get the x-intercept, we set y = 0 and solve for x.

$\bf \stackrel{\textit{y-intercept, x = 0}}{y+5=\cfrac{2}{7}(0)-4}\implies y+5=-4\implies y=-9\qquad \qquad \stackrel{y-intercept}{(0~,-9)}\\\\ -------------------------------\\\\ \stackrel{\textit{x-intercept, y = 0}}{(0)+5=\cfrac{2}{7}x-4}\implies 5=\cfrac{2x}{7}-4\implies 9=\cfrac{2x}{7}\implies 63=2x \\\\\\ \cfrac{63}{2}=x\implies 31\frac{1}{2}=x\qquad \qquad \qquad \qquad \qquad \qquad \qquad \stackrel{x-intercept}{\left( 31\frac{1}{2}~,~0 \right)}$

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3 years ago

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Brut [27]

Answer:

Step-by-step explanation:

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8 0

3 years ago

Paisley is trying to find the height of a radio antenna on the roof of a local building. She stands at a horizontal distance of

Temka [501]

Using the tangent ratio, the height of the antenna, to the nearest meter, is AB = 8 m.

<h3>What is the Tangent Ratio?</h3>

Tangent ratio is expressed as: tan ∅ = opposite/adjacent (TOA).

The information given has been sketched in the diagram attached below.

Find AC using the tangent ratio. Thus, we would have:

tan 29 = AC/CD

Substitute

tan 29 = AC/22

AC = tan 29 × 22 = 12.2 m.

Find BC using the tangent ratio:

tan 42 = BC/DC

Substitute

tan 42 = BC/22

BC = tan 42 × 22 = 19.8 m.

The height of the antenna, AB = BC - AC = 19.8 - 12.2 ≈ 8 m.

Learn more about tangent ratio on:

brainly.com/question/1592477

6 0

2 years ago