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3 years ago

HELP PLS ASAP i’ll mark as brainliest if correct !

Mathematics

1 answer:

MrMuchimi3 years ago

7 0

Answer is 1 : 3 or C

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What is the equation of the line that passes through the point (-4,6)(−4,6) and has a slope of -\frac{5}{4}−

AysviL [449]

Answer:

5x + 4y - 4 = 0 is the given line equation.

Step-by-step explanation:

The slope m of the line is given as $-\frac{5}{4}$

The point of the equation is (x0, y0) = (-4, 6)

Now, by POINT SLOPE formula of a line:

Equation of a line is : ( y -y0) = m (x - x0)

Hence, the equation is $(y - 6) = -\frac{5}{4} (x -(-4))$

On further simplifying $4(y - 6) = -5 (x + 4)\\or, 4y - 24 = -5x- 20$ ,

⇒ 5x + 4y - 24 + 20 = 0

or, 5x + 4y - 4 = 0 is the given line equation.

4 0

3 years ago

The graph highlights two other points on the trend line. Use them to find another equation for the trend line shown for this sca

frutty [35]

Option A:

The equation for the trend line is y = 82x + 998.

Solution:

The points on the line are (2, 1162) and (11, 1900).

Here, $x_1=2, y_1=1162, x_2 = 11, y_2=1900$

Slope of the line:

$$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$$m=\frac{1900-1162}{11-2}$

$$m=\frac{738}{9}$

m = 82

Point-slope formula:

$y-y_{1}=m\left(x-x_{1}\right)$

$y-1162=82\left(x-2\right)$

$y-1162=82x-164$

Add 1162 on both sides of the equation.

$y=82x+998$

The equation for the trend line is y = 82x + 998.

Hence Option A is the correct answer.

4 0

3 years ago

A cooler has 12 apple juices and 15 grape juices. 9 of the apple juices are sugar free and 5 of the grape juices are sugar free.

Alexus [3.1K]

A - juice is not sugar free

B - juice is not grape juice

$|\Omega|=27\\ |A|=13\\ |A\cap B|=3\\\\ P(A)=\dfrac{13}{27}\\ P(A\cap B)=\dfrac{3}{27}=\dfrac{1}{9}\\\\ P(B|A)=\dfrac{\dfrac{1}{9}}{\dfrac{13}{27}}=\dfrac{1}{9}\cdot\dfrac{27}{13}=\dfrac{3}{13}$

So, it's D, assuming "3 13" meant $\dfrac{3}{13}$

5 0

3 years ago

What is the approximate area of the figure?

Valentin [98]

Answer:

Answer D (2206.5 ft^2) is closest to the calculated answer 2206.85 ft^2.

Step-by-step explanation:

We can break up this figure into a 30 ft by 50 ft rectangle and a circle of diameter 30 ft.

The area of the rectangular part is A1 = (30 ft)(50 ft) = 1500 ft^2.

The area of the circular part is A2 = π(15 ft)^2 = 706.9 ft^2

Thus, the total area is approx A1 + A2, or 2206.86 ft^2 (Answer D)

8 0

3 years ago

Solve each equation. x2 = 144

Alisiya [41]

X = √144 = +12 or -12

3 0

3 years ago

Read 2 more answers