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3 years ago

What is the slope of y = -x + 7

Mathematics

2 answers:

LenKa [72]3 years ago

6 0

The slope of this equation would be m = -1

katovenus [111]3 years ago

3 0

Answer:

slope m = - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - x + 7 ← is in slope- intercept form

with slope m = - 1

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Formula One race cars can reach speeds of approximately 100 meters per second. What is this speed in meters per minute?

WARRIOR [948]

Set up multiplication/division of ratios to cancel out units you don't need for the final answer and introduce those that you do.

We have m/s and we want m/min so

(100m/s)(60s/min)=6000m/min

5 0

4 years ago

Amy is pulling a wagon with a force of 30 pounds up a hill at an angle of 25°. Give the force exerted on the wagon as a vector a

Fofino [41]

Answer:

Vector (ordered pair - rectangular form)

$\vec F = (27.189,12.679)\,[lbf]$

Vector (ordered pair - polar form)

$\vec F = (30\,lbf, 25^{\circ})$

Sum of vectorial components (linear combination)

$\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]$

Step-by-step explanation:

From statement we know that force exerted on the wagon has a magnitude of 30 pounds-force and an angle of 25° above the horizontal, which corresponds to the +x semiaxis, whereas the vertical is represented by the +y semiaxis.

The force ( $\vec F$ ), in pounds-force, can be modelled in two forms:

Vector (ordered pair - rectangular form)

$\vec F = \left(\|\vec F\|\cdot \cos \theta, \|\vec F\|\cdot \sin \theta\right)$ (1)

Vector (ordered pair - polar form)

$\vec F = \left(\|\vec F\|, \theta\right)$

Sum of vectorial components (linear combination)

$\vec {F} = \left(\|\vec F\|\cdot \cos \theta\right)\cdot \hat{i} + \left(\|\vec F\|\cdot \sin \theta \right)\cdot \hat{j}$ (2)

Where:

$\|\vec F\|$ - Norm of the vector force, in newtons.

$\theta$ - Direction of the vector force with regard to the horizontal, in sexagesimal degrees.

$\hat{i}$ , $\hat{j}$ - Orthogonal axes, no unit.

If we know that $\|\vec F\| = 30\,lbf$ and $\theta = 25^{\circ}$ , then the force exerted on the wagon is:

Vector (ordered pair - rectangular form)

$\vec F= \left(30\cdot \cos 25^{\circ}, 30\cdot \sin 25^{\circ}\right)\,[lbf]$

$\vec F = (27.189,12.679)\,[lbf]$

Vector (ordered pair - polar form)

$\vec F = (30\,lbf, 25^{\circ})$

Sum of vectorial components (linear combination)

$\vec F = (30\cdot \cos 25^{\circ})\cdot \hat{i} + (30\cdot \sin 25^{\circ})\cdot \hat{j}\,[N]$

$\vec F = 27.189\cdot \hat{i} + 12.679\cdot \hat{j}\,[N]$

8 0

3 years ago

He currently pays an AP$ of $1.87 per pound for fresh onions, but his yield is 50% after peeling and cooking the onions. What is

PolarNik [594]

Complete question :

Chef Charming and his mother sell cheese steak sandwiches at their food truck. They use fresh onions, and cook them slowly to caramelize them before putting them on their sandwiches.

Charming found a pre-cooked onion that was $8.3 per pound AP$, with 100% Yield. He wants to save money but isn't sure if that is a better deal than cooking the fresh onions himself.

He currently pays an AP$ of $1.87 per pound for fresh onions, but his yield is 50% after peeling and cooking the onions. What is the EP$ for the fresh onions, after caramelizing?

Answer:

$3.74

Step-by-step explanation:

Cost of fresh onions = $1.87 per pound

Percentage yield = 100% after caramelizing

Therefore EP$ for the fresh onions after caramelizing will be :

(1 + percentage yield) * cost of fresh onions

(1 + 100%) * $1.87

(1 + 1) * $1.87

2 * $1.87

= $3.74

3 0

3 years ago

Write the equation of the line that passes through the points (-6, -9) and

e-lub [12.9K]

Answer:

y - 7 = 16/13(x - 7)

General Formulas and Concepts:

Alg I

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate

y₁ - y coordinate

m - slope

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (-6, -9)

Point (7, 7)

Step 2: Find slope m

Substitute: $m=\frac{7+9}{7+6}$
Add: $m=\frac{16}{13}$

Step 3: Write equation

y - 7 = 16/13(x - 7)

3 0

3 years ago

PLEASE HELP WITH MARK BRAINLIEST! What is the value of g?

Sati [7]

Answer:

Step-by-step explanation:

this is a right triangle g+55 is a right triangle as shown by the red square in the corner.

90-55=35

so g=35

6 0

3 years ago

Read 2 more answers