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Ratling [72]
2 years ago
9

A line passes through the point (-4, 7) and has a slope of -5/4

Mathematics
1 answer:
stellarik [79]2 years ago
4 0

Answer:

y=-\frac{5}{4} x+2.

Step-by-step explanation:

1) slope-interception form is: y=s*x+i, where 's' and 'i' are slope and interception;

2) according to the condition s= -5/4, then the required equation is: y= -5/4 *x +i, where i - interception;

3) if to substitute (-4;7) into the required equation y= -5/4 *x +i, it is possible to calculate 'i':

7= -5/4*(-4)+i; ⇒i=2, then

4) \ finally, \ y=-\frac{5}{4}x+2.

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Each leg of a 45°-45°-90° triangle measures 12 cm what is the hypoyenuse
lubasha [3.4K]
To find the hypotenuse in a 45-45-90 triangle multiply the legs by \sqrt{2}
So...
The leg is 12 the hypotenuse is 12\sqrt{12}
5 0
3 years ago
Question
maria [59]

Answer:

He needs 16 ounces of raisins and 8 ounces of nuts

Step-by-step explanation:

Let

x -----> the number of ounces of raisins

y -----> the number of ounces of nuts

we know that

x+y=24 -----> equation A

x=2y -----> equation B

Solve the system by substitution

Substitute equation B in equation A and solve for y

(2y)+y=24

3y=24

y=8 ounces of nuts

Find the value of x

x=2(8)=16 ounces of raisins

therefore

He needs 16 ounces of raisins and 8 ounces of nuts

8 0
3 years ago
Read 2 more answers
The area of a trapezoid is 864cm². It has a height of 24 cm, and the length of one of its bases is 30 cm. What is the length of
Amiraneli [1.4K]

The area <em>A</em> of a trapezoid with height <em>h</em> and bases <em>b</em>₁ and <em>b</em>₂ is equal to the average of the bases times the height:

<em>A</em> = (<em>b</em>₁ + <em>b</em>₂) <em>h</em> / 2

We're given <em>A</em> = 864, <em>h</em> = 24, and one of the bases has length 30, so

864 = (<em>b</em>₁ + 30) 24 / 2

864 = (<em>b</em>₁ + 30) 12

864 = (<em>b</em>₁ + 30) 12

72 = <em>b</em>₁ + 30

<em>b</em>₁ = 42

5 0
3 years ago
Ok so these are the answers that I can choose~ (Please and thank you &lt;3)
xxMikexx [17]
A.)44
The total number will equal 180. All right angles are 90. 180-90-46 equal 44
8 0
2 years ago
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On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a verte
statuscvo [17]

Answer:

Option 4.

Step-by-step explanation:

The vertex form of a parabola is

g(x)=a(x-h)^2+k                    ... (1)

where, a is a constant (h,k) is vertex.

The given function is

f(x)=x^2

The vertex of the function is (0,0) and it goes through (-2, 4) and (2, 4).

It is given that the vertex of function g(x) is at (5,2).

Substitute h=5 and k=2 in equation.

g(x)=a(x-5)^2+2

g(x) is passes through (3, 6).

6=a(3-5)^2+2             .... (2)

6-2=4a

4=4a

Divide both sides by 4.

a=1

Substitute a=1 in equation (2).

g(x)=1(x-5)^2+2

g(x)=(x-5)^2+2

The function g(x) is g(x)=(x-5)^2+2.

Therefor, the correct option is 4.

3 0
3 years ago
Read 2 more answers
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