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3 years ago

Solve each system of equations by substitution X + 3y = 6 -x + y = -7

Mathematics

1 answer:

Naily [24]3 years ago

5 0

Answer:

(27/4, -1/4)

Step-by-step explanation:

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The base length of a triangle is 8 feet and the height is 4 feet. What is the area of the triangle?

sweet [91]

8x4=32
32 divided by 2 = 16
the answer is 16 square feet

hope this helps :)

3 0

3 years ago

Read 2 more answers

What is the distance between points A and B? (Use only digits 0-9 to write the distance.)

qwelly [4]

Answer:

Step-by-step explanation:

A is on the negative side so you count the distanse as -6 -5 -4 so on and then you get to 0 and then its 12345678

3 0

2 years ago

The points on the graph of the function y=3+f(x-1) can be obtained from the points on y=f(x) by a shift of:

MaRussiya [10]

Answer: 1 to the right and 3 up

4 0

2 years ago

Suppose the force acting on a column that helps to support a building is a normally distributed random variable X with mean valu

Sauron [17]

Answer:

(1) 0.4207

(2) 0.7799

Step-by-step explanation:

Given,

Mean value,

$\mu = 15.0$

Standard deviation,

$\sigma = 1.25$

(1) P(X ≥ 17.5) = 1 - P( X ≤ 17.5)

$= 1- P(\frac{x-\mu}{\sigma} \leq \frac{17.5-\mu}{\sigma})$

$=1-P(z\leq \frac{17.5 - 15}{1.25})$

$=1-P(z\leq \frac{2.5}{1.25})$

$=1-P(z\leq 2)$

$=1- 0.5793$ ( By using z-score table )

= 0.4207

(2) P(14 ≤ X ≤ 18) = P(X ≤ 18) - P(X ≤ 14)

$=P(z\leq \frac{18 - 15}{1.25}) - P(z\leq \frac{14 - 15}{1.25})$

$=P(z\leq \frac{3}{1.25}) - P(z\leq -\frac{1}{1.25})$

$=P(z\leq 2.4) - P(z\leq -0.8)$

= 0.9918 - 0.2119

= 0.7799

8 0

3 years ago

What is the distance from P to Q ?A. 7 unitsB. 5 unitsC. 1 unitD. 25 unitshow do I find the distance from P to Q?

Alex17521 [72]

to find the distance between 2 points we should apply the formula

$d=\sqrt[]{(x_2-x_1)^2+(y_2-_{}y_1)^2_{}}$

call point q as point 1 for reference in the formula and p as point 2

replace the coordinates in the formula

$d=\sqrt[]{(3-(-1))^2+(-4-(-1))^2}$

simplify the equation

$\begin{gathered} d=\sqrt[]{(3+1)^2+(-4+1)^2} \\ d=\sqrt[]{4^2+(-3)^2} \\ d=\sqrt[]{16+9} \\ d=\sqrt[]{25} \\ d=5 \end{gathered}$

the distance between the 2 points is 5 units

7 0

1 year ago