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tatuchka [14]
3 years ago
8

Write the point-slope equation of the line that goes through (5, 7) with a slope of -13.

Mathematics
1 answer:
Julli [10]3 years ago
3 0
Slope m = -13.

point = (5, 7)   =   (x₁ , y₁) = (5, 7)   

y - y₁ = m(x - x₁)

<span>y - 7 = -13(x - 5)         Point-slope equation</span>
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For each container of tea, McKenzie uses 16 tea bags and 3 cups of sugar. If McKenzie uses 64 tea bags, how many cups of sugar w
cestrela7 [59]
So tis is a ratio  16 is to 3 or 16:3
if use 64 tea bags then how many cups of sugar so
turn 16:3 into fraction
16:3=16/3 or 3/16, it doesn't matter
then you want to find 64:x or 64/x or x/64

we know that 16/3=64/x because it tis an equivalent ratio
so 16/3=64/x
multiply both sdies by (3 times x)
16 times x times 3/3=64 times 3 times x/x
16 times x=64 times 3
16x=192
divide both sdies by 16
x=12
theanswer is 12 cups of sugar
5 0
3 years ago
Peter is wants to lose weight. He is105Kg. His aim is to lose 500 g Per week. If he managed this, how many weeks will it be unti
natali 33 [55]

105 - 90 = 15kg

500g = 1/2 kg

Peter is 15kg overweight.

15 x 2 = 30

It will take him 30 weeks for this.

8 0
3 years ago
Determine x in the following equation 2x - 4 = 10
kari74 [83]

Answer:

7

Step-by-step explanation:

10+4 = 14

14/2  = 7

x = 7

7 0
3 years ago
What is the perimeter of a rectangle length 86ft width 9ft 10inches?
kondor19780726 [428]

The perimeter is 166.9 ft.

Convert feet to inches to make it easier to calculate. The formula to find the perimeter is... 2(w+h)

once you get your answer, convert inches back to feet.

3 0
2 years ago
Write the quadratic equation whose roots are -2 and 1, and whose leading coefficient is 4 .
Kaylis [27]

Answer: the equation is

4x^2 + 4x - 12

Step-by-step explanation:

A quadratic equation is an equation in which the highest power of the unknown is 2.

The general form of a quadratic equation is expressed as

ax^2 + bx + c

Where

a is the leading coefficient

c is a constant

Assuming we want to write the quadratic equation in x, from the information given, the roots which are given are -2 and 1 and the leading coefficient is 4.

Therefore, the linear factors of the quadratic equation will be (x+2) and (x-1)

the equation becomes

(x+2)(x-1)

= x^2 - x +2x - 3

= x^2 + x - 3

Given a leading coefficient of 4, we will multiply the quadratic expression by 4. It becomes

4(x^2 + x - 3)

= 4x^2 + 4x - 12

7 0
3 years ago
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