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2 years ago

Write the equation of the line that passes through the point (-6, 1) and has a slope of 1/2

Mathematics

1 answer:

Likurg_2 [28]2 years ago

8 0

Answer:

y = x + 2

i think this is helpful

Step-by-step explanation:

equation= y - 1 = 1

x - -6 2

then you close multiplication

= 2(y -1)= 1(x - -6)

2y - 2 = x - -6

you make Y as a subject

2y = x- -6 + 2

2y = x + 4

then you divide by 2 on both sides

2y = x + 4

2 2 2

y = x + 2

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The sun is behind a building and casting a shadow. How long is the shadow if the building is 25 feet tall and the angle, of the

Nana76 [90]

ANSWER

The length of the shadow is 49 ft to nearest feet.

EXPLANATION

We can find the length of the shadow using the tangent ratio.

Recall that,

$\tan(27 \degree) = \frac{opposite}{adjacent}$
From the diagram, the length of the shadow is the side of the triangle that is adjacent to the 27° angle

$\tan(27 \degree) = \frac{45}{adjacent}$

This implies that,

$adjacent = \frac{45}{tan27 \degree}$

$adjacent = 49 .065$

4 0

2 years ago

|-4/9|+5/6 write answer in simplest form

Mazyrski [523]

Answer: 23/18

Step-by-step explanation:

8 0

2 years ago

A cone has a diameter of 6 cm and a height of 11.5 cm. Find the volume. Round your answer to the nearest 10th if necessary. Use

uysha [10]

V=πr^2h/3=π·3^2·11.5/3≈108.38495 or 108.40 rounded

5 0

2 years ago

The length of CD is 12 units C’D’ is the image of CD under a dilation with a scale factor of n.Which of these are true?

Korvikt [17]

Answer: FIrst option, Fourth option and Fifth option.

Step-by-step explanation:

First it is important to know the definition of "Dilation".

A Dilation is defined as a transformation in which the Image (which is the figure obtained after the transformation) and the Pre-Image (this is the original figure, before the transformations) have the same shape, but their sizes are different.

If the length of CD is dilated with a scale factor of "n" and it is centered at the origin, the length C'D' will be:

$C'D'=nCD=(n)(12\ units)$

Therefore, knowing this, you can determine that:

1. If $n=\frac{3}{2}$ , you get:

$C'D'=(\frac{3}{2})(12\ units)=18\ units$

2. If $n=4$ , then the length of C'D' is:

$C'D'=(4)(12\ units)=48\ units$

3. If $n=8$ , then:

$C'D'=(8)(12\ units)=96\ units$

4. If $n=2$ , then, you get that the lenght of C'D' is:

$C'D'=(2)(12\ units)=24\ units$

5. If $n=\frac{3}{4}$ , the length of C'D' is the following:

$C'D'=(\frac{3}{4})(12\ units)=9\ units$

8 0

2 years ago

1. Ellie has 2/8 pound of cheese. She used 1/2 of the cheese to make tacos. Since there are 16 ounces in one pound, how many oun

otez555 [7]

The ounces of cheese Ellie uses to make tacos is 2

What is a unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Calculation :

1 pound = 16 ounces

Total cheese Ellie has = $\frac{2}{8}$ pound

Cheese required to make tacos = $\frac{2}{8}$ × $\frac{1}{2}$ = $\frac{1}{8}$ pounds

Ounces of cheese required to make cheese are $\frac{1}{8}$ × 16 = 2 ounces

learn more about the unitary method here :

brainly.com/question/17110989

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8 0

1 year ago