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vovangra [49]
2 years ago
13

What is the equation in slope-intercept form of a line that is perpendicular to y=1/4x−1 and passes through the point (4, 1)?

Mathematics
2 answers:
wolverine [178]2 years ago
7 0
Y=4x-15

This line passes through (4,1) and is perpendicular to y=1/4x-1
Harlamova29_29 [7]2 years ago
4 0

Answer:

y = -4x + 17

Step-by-step explanation:

Slope of the perpendicular line: -4

(4,1)

y-intercept: 1 - (-4)(4)

= 1+16 = 17

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Zhao Xue wants to buy milk and yogurt. She wants to buy a total of at least 6.5 gallons of dairy products (condition A), and she
Marta_Voda [28]

Answer: The answer is (D). Zhao Xue doesn’t have enough money left to buy any yofurt


Step-by-step explanation:  Given that Zhao Xue is buying buy milk and yogurt, a total of at least 6.5 gallons of dairy products and she has a budget of $20. The given graph represents the constraints on the number of gallons of milk 'M' and yogurt 'Y' Zhao Xue buys. Zhao Xue buys 4 gallons of milk. We need to calculate the number of gallons of yogurt she can buy to meet both her constraints.

From the graph, we can write

Condition A :

M+Y\geq 6.5.

Condition B :

8M+5Y\leq40.

Now, if she buys 4 gallons of milk, the the conditions become

4+Y\geq 6.5~~\Rightarrow Y\geq 2.5,\\\\8\times 4+5Y\leq 40~~\Rightarrow Y\leq 1.6.

Here, there will be no solution to these constraints.

Therefore, she does not have enough money left to buy any yogurt.

Thus, the correct option is (D).

3 0
3 years ago
Complete the square to the problem X^2+6x-16=0
marishachu [46]

Answer:

<h2>x = -8 or x = 2</h2>

Step-by-step explanation:

(a+b)^2=a^2+2ab+b^2\qquad(*)\\\\-------------------------------\\\\x^2+6x-16=0\qquad\text{add 16 to both sides}\\\\x^2+6x=16\\\\x^2+2(x)(3)=16\qquad\text{add}\ 3^2\ \text{to both sides}\\\\\underbrace{x^2+2(x)(3)+3^2}_{(*)}=16+3^2\\\\(x+3)^2=16+9\\\\(x+3)^2=25\Rightarrow x+3=\pm\sqrt{25}\\\\x+3=-5\ \vee\ x+3=5\qquad\text{subtract 3 from both sides}\\\\\boxed{x=-8\ \vee\ x=2}

3 0
3 years ago
For a circle with a radius of 6 meters, what is the measurement of a central angle (in degrees) subtended by an arc with a lengt
slava [35]
I think it is c


Explanation
6 0
3 years ago
Ive already asked this but please help asap!!!!! please tell me how you got the answer too
Black_prince [1.1K]
Answer is: "A"


Formula used:
V = 4/3πr^3
we already know r so
V = 4/3(π)13^3
7 0
3 years ago
If $360 dollars is invested at an interest rate of 4% per year and is compounded quarterly, how much will the investment be wort
brilliants [131]
Fv=360(1+0.04/4)^4*18
Fv=360(1+0.01)^72
Fv=736.96
7 0
2 years ago
Read 2 more answers
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