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OlgaM077 [116]
2 years ago
13

The equation of the line parallel to y-8=1/8(x+8) that passes through Q(1,-1) is

Mathematics
1 answer:
Mars2501 [29]2 years ago
7 0

Answer:

Find the distance between the given points: (-7, 5) and (-8, 4)

Step-by-step explanation:

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A cake recipe for 12 people calls for 8 cups of sugar. If Jenny wants to bake a cake for 7 people, how many cups of sugar should
Vaselesa [24]
12 people ⇒8 cups

1 person ⇒ 8/12 = 2/3 cup

7 persons ⇒ 2/3 x 7 = 14/3 4 2/3 cups

Answer: She should use 4 2/3 cups of sugar.
3 0
3 years ago
A pharmacist has 18% bleach solution. How much of this solution and how much water must be mixed together to make 10 liters of a
kkurt [141]
X = the amount of water to add
10 - x = amount of 18% bleach to add

.18(10-x)= .12 x 10
1.8 -.18x =1.2
-.18x = -.6
x = 3 1/3 liters water
therefore 6 2/3 liters bleach

4 0
3 years ago
Please help with the problem below
Andrej [43]

Answer:

ow that so hard

Step-by-step explanation:

wait let me see the answer i well search it

5 0
3 years ago
Which group of three squares will form a right triangle when<br> joined at their vertices?
Ilia_Sergeevich [38]

Answer:

Option ?) 17 cm, 15 cm, 8 cm

<em>The assignment should have </em><em>four options</em><em> to choose from, but there is only a picture of two. </em>

Step-by-step explanation:

<em>None of the squares </em><em>shown</em><em> form a right triangle. To determine if sides form a right triangle, you use </em><em>this</em><em> formula:</em>

a²+b²=c²

<em>We are given two options in the picture.</em>

Option A) 18, 10, and 8.

Option B) 12, 9, and 6.

<em>So, now we need to apply the formula:</em>

Option A)

║8² + 10² = 18²

  ↓

║64 + 100 = 324

  ↓

║FALSE

Option B)

║6² + 9² = 12²

  ↓

║36 + 81 = 144

  ↓

║FALSE

<em>Both of these options are false.</em><em> But, I decided to look up this assignment to check my answer. It turns out, there are </em><em>4 options</em><em>, and you only had a picture of two. So, what's the answer?</em>

<em />

<em>There is an answer choice that shows 3 squares with the lengths of 17 cm, 15 cm, and 8 cm. </em><em>This is the correct answer</em><em>.</em>

<em />

<em>For proof, let's apply the formula:</em>

Option ?)

║8² + 15² = 17²

  ↓

║64 + 225 = 289

  ↓

║TRUE

<em>[Since the option isn't shown, I'll put a '?' so there is no confusion]</em>

8 0
2 years ago
Which statements about these two functions are true? Select the TWO that apply. Function A is a linear function and Function B i
KengaRu [80]

Answer:

Function A is a linear function and Function B is a nonlinear function

Function A has a positive rate of change

Step-by-step explanation:

<u><em>Verify each statement</em></u>

Option 1) Function A is a linear function and Function B is a nonlinear function

The statement is True

Because

Function A

The function A represent a proportional relationship that can be expressed in the form

Find the value of k

For x=1, y=5 ----> k=\frac{5}{1}=5

For x=2, y=10 ----> k=\frac{10}{2}=5

For x=3, y=15 ----> k=\frac{15}{3}=5

so

y=5x

The graph is a straight line

therefore

Function A represent a linear function

Function B

we have

y=4x^2+2

This is a quadratic equation (vertical parabola open upwards)

The graph is a curved line

therefore

Function B represent a nonlinear function, because the graph is not a straight line

Option 2) Function B has two y-intercepts at (0, 2) and (0, –2)

The statement is False

Because

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

y=4(0)^2+2=2

Therefore

The function B has only one y-intercept at (0,2)

Option 3) Function A has a positive rate of change.

The statement is True

Because

The rate of change of the function A is equal to the slope

The slope of the function A is m=5

Is a increasing function

As x increases the value of y increases

As x decreases the value of y decreases

Option 4) Function B has a negative rate of change

The statement is False

Because

To find the average rate of change, we divide the change in the output value by the change in the input value

we have

y=4x^2+2

Is a vertical parabola open upward

The vertex of the function B is the point (0,2)

For the domain ----> (-∞,0)

The function is decreasing ( the rate of change is negative)

For the domain ----> (0,∞)

The function is increasing ( the rate of change is positive)

4 0
3 years ago
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