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erica [24]
3 years ago
12

The slope-intercept from of the equation of a line that passes through (-2,-13) is y = 5x – 3. What is the point-slope from of t

he equation for this line

Mathematics
1 answer:
lisov135 [29]3 years ago
6 0

Answer:

y + 13 = 5(x + 2)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

given y = 5x - 3 with m = 5 and (a, b) = (- 2, - 13), then

y +13 = 5(x + 2) ← in point- slope form

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The graph shows the daily sales goal of
posledela

Answer:

25 cups of tea

Step-by-step explanation:

On the x-axis, we have the number of cups of coffee plotted against the number of cups of tea which are plotted on the y-axis to represent the daily sales goals.

From the graph, when 20 cups of coffee are sold (x = 20), a corresponding sales of 25 cups of tea (y = 25) would be sold as well to meet the sales goal.

Therefore, when employees sell 20 cups of coffee, 25 cups of tea must be sold to meet their goal.

6 0
3 years ago
Solve the system equations. <br> X+2y=0<br> 10y=-5
nexus9112 [7]

Answer:

x=1

y=-1/2

Step-by-step explanation:

x+2y=0....(1)

10y=-5.....(2)

From (2) we can find y.

y=-5/10

y=-1/2

Use that in (1)

x+2*(-1/2)=0

x-1=0

x=1

5 0
3 years ago
What is the length of angle EF in the right triangle below
salantis [7]

Answer:

E.  √180

Step-by-step explanation:

Using Pythagoras' theorem

a^2 + b^2 = c^2 (c = hypotenuse, a and b are legs)

a^2 = c^2 - b^2

a^2 = 18^2 - 12^2

a^2 = 324 - 144

a^2 = 180

a = √180

Answer

E.  √180

6 0
3 years ago
Georgie had her roof repaired. She was charged an extra 2.5% for late payment. She had to pay a total of £977.85. Calculate how
Nikolay [14]

Answer:

Answer:£23.85 is your answer.

x+2.5%ofx=£977.85

x(1+2.5/100)=£977.85

x=£977.85/(1.025)=954

saving money will be =£977.85-954=£23.85

8 0
3 years ago
I need help with this, neither of my parents can help me and i want to understand.
olga2289 [7]

Answer:

See explanation

Step-by-step explanation:

1. To rewrite the expression

(4^{\frac{2}{5}})^{\frac{1}{4}},

use exponents property

(a^m)^n=a^{m\cdot n}

So,

(4^{\frac{2}{5}})^{\frac{1}{4}}=4^{\frac{2}{5}\cdot \frac{1}{4}}=4^{\frac{2}{20}}=4^{\frac{1}{10}}

2. Why 10^{\frac{1}{3}}=\sqrt[3]{10}?

Raise both sides to 10 power:

(10^{\frac{1}{3}})^3=10^{\frac{1}{3}\cdot 3}=10^1=10\\ \\(\sqrt[3]{10})^3=10

So,

(10^{\frac{1}{3}})^3=(\sqrt[3]{10} )^3

3. Simplify \dfrac{3^4}{9}

Use  the Quotient of Powers Property:

\dfrac{a^m}{a^n}=a^{m-n}

Then

\dfrac{3^4}{9}=\dfrac{3^4}{3^2}=3^{4-2}=3^2

4. Solve 4\sqrt{2}+5\sqrt{4}

First, note that \sqrt{4}=2, then

4\sqrt{2}+5\sqrt{4}=4\sqrt{2}+5\cdot 2=4\sqrt{2}+10

Number 4\sqrt{2} is irrational number, number 10 is rational number. The sum of irrational and rational numbers is irrational number.

5. The same as option 4.

3 0
3 years ago
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